Friedman rank test for related ordinal responses

Friedman Test for Likert Data: Formula, Real Data, Results and Software Workflows

Friedman Test for Likert Data is a complete worked analysis of whether the same 649 respondents give systematically different ratings across four related 1–5 items using famrel, freetime, goout and health. Within Friedman Test for Likert Data, the 649-record example connects the exact formula to the observed values, diagnostic figures, and reproducible Python, R, SPSS and Excel calculations.

within-respondent ranks for famrel, freetime, goout and healthrelated sampleswithin-row ranks649-record real-data analysisNative MathML formulas

Checkpoint 1N = 649 complete blocks

Checkpoint 2k = 4 related items

Checkpoint 3ties handled within rows

Checkpoint 4post-hoc contrasts require adjustment

Quick answer

The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone

The worked Friedman Test for Likert Data analysis is restricted to within-respondent ranks for famrel, freetime, goout and health. It uses famrel, freetime, goout and health and reaches this reportable conclusion: The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Within Friedman Test for Likert Data, that wording is deliberately narrower than a general claim about all survey constructs, all groups or all possible models.

Friedman Test for Likert Data interpretation boundary: same respondents across items and ordinal or continuous responses are checked before the result is generalized. A different design may require repeated-measures ANOVA rather than this procedure.

What Friedman Test for Likert Data measures

The exact statistical or data-management question is isolated from neighboring methods.

Friedman Test for Likert Data addresses whether the same 649 respondents give systematically different ratings across four related 1–5 items. Its target is within-respondent ranks for famrel, freetime, goout and health, not a general claim about every variable in the source file.

Defined target

Within Friedman Test for Likert Data, the analysis treats famrel, freetime, goout and health as the complete variable ledger. This ledger fixes the unit of analysis, group order, score direction and denominator. The central result is The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone.

Friedman rank test for related ordinal responses is appropriate only for this defined target. The article does not relabel repeated-measures ANOVA, Wilcoxon signed-rank tests or Cochran Q as the same procedure.

What is not being claimed

Friedman Test for Likert Data does not establish causation, universal validity or invariance across unobserved populations. The evidence belongs to the 649-record dataset and the declared coding. Its interpretation is conditioned on same respondents across items, ordinal or continuous responses, independent respondent blocks and comparable response scale.

The post therefore reports related samples, within-row ranks and omnibus difference before extending the result. This sequence prevents a software label from becoming a broader scientific conclusion.

Friedman Test for Likert Data data and variable ledger

Every number is tied to a named source field or declared derived field.

Analysis population and source structure

For Friedman Test for Likert Data, the working source contains 649 records and 33 variables, while the operative fields are famrel, freetime, goout and health. Within Friedman Test for Likert Data, the original row identity is retained so software outputs, charts and the Excel workbook can be reconciled record by record.

Ledger element	Applied definition	Release control
Checkpoint 1	N = 649 complete blocks	For Friedman Test for Likert Data, checkpoint 1 must agree across the article, its assigned chart, the software report and the workbook.
Checkpoint 2	k = 4 related items	For Friedman Test for Likert Data, checkpoint 2 must agree across the article, its assigned chart, the software report and the workbook.
Checkpoint 3	ties handled within rows	For Friedman Test for Likert Data, checkpoint 3 must agree across the article, its assigned chart, the software report and the workbook.
Checkpoint 4	post-hoc contrasts require adjustment	For Friedman Test for Likert Data, checkpoint 4 must agree across the article, its assigned chart, the software report and the workbook.
Question	whether the same 649 respondents give systematically different ratings across four related 1–5 items	Cannot be broadened after seeing the p-value or graphic.
Outcome	within-respondent ranks for famrel, freetime, goout and health	Units and category order remain explicit.

Figure sequence: The analysis moves from Primary Friedman metrics through Verified Friedman summary. Each figure is interpreted with N = 649 complete blocks and the declared within-respondent ranks for famrel, freetime, goout and health rather than as a stand-alone visual claim.

Research design and estimand for Friedman Test for Likert Data

Within Friedman Test for Likert Data, the procedure follows the design rather than choosing a method from the appearance of a chart.

Unit of analysis

One source row is one respondent record for within-respondent ranks for famrel, freetime, goout and health; no row is silently duplicated across this analysis.

Estimand

The estimand asks whether the same 649 respondents give systematically different ratings across four related 1–5 items.

Primary output

The primary output is stated as The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone.

Scale meaning

within-respondent ranks for famrel, freetime, goout and health is interpreted in its declared unit and order.

Software agreement

Python, R, SPSS and Excel must use the same rows, coding and Friedman rank test for related ordinal responses formula.

Decision rule

Magnitude, precision, assumptions and diagnostics for within-respondent ranks for famrel, freetime, goout and health are considered together; a p-value is never the entire conclusion.

Friedman Test for Likert Data assumptions and failure consequences

Each condition is connected to a specific change in interpretation.

Same respondents across items

If same respondents across items fails, the stated Friedman rank test for related ordinal responses interpretation may no longer identify within-respondent ranks for famrel, freetime, goout and health.

Ordinal or continuous responses

The software can still return output when ordinal or continuous responses is false, so this condition is checked independently.

Independent respondent blocks

The article narrows its language or redirects analysis to Cochran Q when independent respondent blocks is not defensible.

Comparable response scale

The assigned charts are reviewed for evidence relevant to comparable response scale before publication.

Friedman Test for Likert Data formulas in native MathML

Fractions, roots, sums, subscripts and superscripts are rendered without external libraries.

The equations below belong to Friedman rank test for related ordinal responses and the declared within-respondent ranks for famrel, freetime, goout and health. Symbols are defined in the surrounding text and numerical substitution remains tied to famrel, freetime, goout and health.

Q^{} = \frac{12}{n k (k + 1)} \sum_{j = 1}^{k} R^{2}_{j} - 3 n (k + 1)

Friedman’s statistic is built from condition rank sums within respondent blocks.

W = \frac{Q}{n (k - 1)}

Kendall’s W scales the Friedman statistic into a concordance/effect-size quantity.

IQR = Q_{3} - Q_{1}

The interquartile range summarizes the middle half of an ordered response distribution.

\bar{x} = \frac{\sum_{i = 1}^{n} x_{i}}{n}

Within Friedman Test for Likert Data, the arithmetic mean is reported only when its numerical spacing interpretation is made explicit.

s^{2} = \frac{\sum_{i = 1}^{n} {(x_{i} - \bar{x})}^{2}}{n - 1}

Within Friedman Test for Likert Data, sample variance uses the n−1 denominator and describes dispersion in the stated score unit.

Friedman Test for Likert Data formula control: the displayed equation is never replaced with a plain-text approximation such as sqrt(), x^2 or an unlabeled software function. In Friedman Test for Likert Data, browser-native MathML keeps stacked fractions, radicals, sums, subscripts and superscripts readable without an external rendering service.

Worked Friedman Test for Likert Data calculation

The result is reconstructed from its actual variables and checkpoints.

Freeze the analysis set

Retain the rows required for famrel, freetime, goout and health and record the denominator.

Apply coding rules

Validate range, direction, category order and derived fields for within-respondent ranks for famrel, freetime, goout and health.

Compute the statistic

Use the displayed Friedman rank test for related ordinal responses formula rather than a similarly named procedure.

Reconcile software

Compare Python, R, SPSS and Excel outputs at full precision.

Write the conclusion

Report The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone with its assumptions and limitations.

Calculation checkpoint	Verified content	Interpretive role
1	N = 649 complete blocks	related samples must agree across all outputs.
2	k = 4 related items	within-row ranks must agree across all outputs.
3	ties handled within rows	omnibus difference must agree across all outputs.
4	post-hoc contrasts require adjustment	Kendall concordance must agree across all outputs.

Verified Friedman Test for Likert Data result

The numerical result is stated before broader discussion.

Primary finding

N = 649 complete blocks

Friedman rank test for related ordinal responses

For the primary release decision, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone.

Wording that is not permitted: Friedman Test for Likert Data is not described as proof, certainty, causation or universal measurement validity. The defensible wording remains limited to whether the same 649 respondents give systematically different ratings across four related 1–5 items.

Five assigned Friedman Test for Likert Data charts

Within Friedman Test for Likert Data, the first chart is full width; the remaining figures are paired as in the supplied sample.

Friedman Test for Likert Data: Primary Friedman metrics — Primary Friedman metrics
The Primary Friedman metrics panel opens the evidence sequence for Friedman rank test for related ordinal responses. It anchors related samples to N = 649 complete blocks and to famrel, freetime, goout and health. Within Primary Friedman metrics, because the estimand is within-respondent ranks for famrel, freetime, goout and health, the figure is interpreted only as evidence about whether the same 649 respondents give systematically different ratings across four related 1–5 items. Within Friedman Test for Likert Data, its row count, coding direction and denominator must agree with the result table before the visual pattern is released.

Friedman Test for Likert Data: Mean rank ordering — Mean rank ordering
In the second figure, Mean rank ordering isolates within-row ranks. The plotted values must reproduce k = 4 related items from famrel, freetime, goout and health; otherwise the image belongs to a different filter or coding version. The Mean rank ordering display supports within-respondent ranks for famrel, freetime, goout and health without converting the chapter into a broader claim about unrelated survey fields.

Friedman Test for Likert Data: Paired-item descriptive summary — Paired-item descriptive summary
The Paired-item descriptive summary graphic supplies the third numerical cross-check. For this Friedman rank test for related ordinal responses, omnibus difference is read together with ties handled within rows, the declared group or item order, and the 649-record denominator. A visually strong pattern cannot override a contradictory table, formula or software object.

Friedman Test for Likert Data: Within-row rank-pattern frequencies — Within-row rank-pattern frequencies
Figure four, Within-row rank-pattern frequencies, focuses on Kendall concordance as a diagnostic rather than decoration. It must preserve famrel, freetime, goout and health and remain consistent with post-hoc contrasts require adjustment. Within Friedman Test for Likert Data, if its categories, score direction or sample differ, the caption is withheld until the asset and analysis ledger are reconciled.

Friedman Test for Likert Data: Verified Friedman summary — Verified Friedman summary
The closing Verified Friedman summary panel consolidates the worked result for within-respondent ranks for famrel, freetime, goout and health. It is accepted only when the displayed tied ranks, N = 649 complete blocks, and the independent Python, R, SPSS and Excel outputs agree. The summary does not widen the estimand beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items.

Friedman Test for Likert Data in Python

The Python workflow computes the defined result and asserts the source structure.

Friedman Test for Likert Data in Python starts from the original semicolon-delimited file and creates a dedicated object for within-respondent ranks for famrel, freetime, goout and health. It does not reuse a filtered object from another analysis. Assertions check the 649-row denominator, field ranges and the specific values needed for Friedman rank test for related ordinal responses.

Python

import pandas as pd

from scipy.stats import friedmanchisquare

df = pd.read_csv("student-por.csv", sep=";")

items = ["famrel","freetime","goout","health"]

X = df[items].dropna()

result = friedmanchisquare(*(X[c] for c in items))

W = result.statistic / (len(X) * (len(items)-1))

print(len(X), result.statistic, result.pvalue, W)

The expected Python interpretation is The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Within Friedman Test for Likert Data, printed values are retained at full precision before the article rounds them, and every chart label is checked against the same result object.

Friedman Test for Likert Data in R

The R reconstruction uses explicit factors, complete-case rules and named result objects.

The R section independently rebuilds within-respondent ranks for famrel, freetime, goout and health. Character categories are converted only where the method requires factors or ordered responses, and the formula is checked against N = 649 complete blocks. Within Friedman Test for Likert Data, r output is not assumed to match merely because the displayed p-value rounds to the same three decimals.

d <- read.csv("student-por.csv", sep=";")

fit <- friedman.test(as.matrix(d[c("famrel","freetime","goout","health")]))

W <- unname(fit$statistic)/(nrow(d)*3)

print(fit); print(W)

For Friedman Test for Likert Data, the R object, printed table and assigned PDF must retain the same row count, group order and variable direction as Python and Excel.

Friedman Test for Likert Data in SPSS

SPSS syntax and output are kept specific to the declared method.

The SPSS workflow assigns appropriate nominal, ordinal or scale measurement levels before running Friedman rank test for related ordinal responses. It does not substitute a different menu procedure under the Friedman Test for Likert Data heading. Pivot tables are checked against N = 649 complete blocks and exported only after the active output document is saved.

SPSS syntax

NPAR TESTS

/FRIEDMAN=famrel freetime goout health

/MISSING ANALYSIS.

The linked SPSS report files belong only to Friedman Test for Likert Data. Within Friedman Test for Likert Data, when the workbook assigns multiple SPSS PDFs, each is retained as a separate download rather than merged with another post.

Friedman Test for Likert Data in Excel

The workbook exposes every denominator, transformation and cross-check.

Excel component	Required formula or action	Control
Row ranks	`RANK.AVG across the four item cells`	Reconcile with N = 649 complete blocks.
Rank sums	`SUM each item rank column`	Reconcile with k = 4 related items.
Friedman Q	`apply the rank-sum formula`	Reconcile with ties handled within rows.
Kendall W	`Q/(n*(k−1))`	Reconcile with post-hoc contrasts require adjustment.

The Excel chapter for Friedman Test for Likert Data is not a generic worksheet tutorial. It reconstructs within-respondent ranks for famrel, freetime, goout and health and protects raw columns from formula overwrite. Within Friedman Test for Likert Data, any formula filled down must cover exactly the same 649 records used by the software reports.

Friedman Test for Likert Data diagnostics and error detection

Diagnostics are selected because they can change this result’s interpretation.

Related Samples

Friedman Test for Likert Data checks related samples against N = 649 complete blocks. The related samples check is tied to famrel, freetime, goout and health and is not copied from a different method. A failed check changes the result wording or triggers repeated-measures ANOVA.

Within-Row Ranks

Friedman Test for Likert Data checks within-row ranks against k = 4 related items. The within-row ranks check is tied to famrel, freetime, goout and health and is not copied from a different method. A failed check changes the result wording or triggers Wilcoxon signed-rank tests.

Omnibus Difference

Friedman Test for Likert Data checks omnibus difference against ties handled within rows. The omnibus difference check is tied to famrel, freetime, goout and health and is not copied from a different method. A failed check changes the result wording or triggers Cochran Q.

Kendall Concordance

Friedman Test for Likert Data checks Kendall concordance against post-hoc contrasts require adjustment. The Kendall concordance check is tied to famrel, freetime, goout and health and is not copied from a different method. A failed check changes the result wording or triggers repeated-measures ANOVA.

Tied Ranks

Friedman Test for Likert Data checks tied ranks against N = 649 complete blocks. The tied ranks check is tied to famrel, freetime, goout and health and is not copied from a different method. A failed check changes the result wording or triggers Wilcoxon signed-rank tests.

Post-Hoc Pairs

Friedman Test for Likert Data checks post-hoc pairs against k = 4 related items. The post-hoc pairs check is tied to famrel, freetime, goout and health and is not copied from a different method. A failed check changes the result wording or triggers Cochran Q.

Friedman Test for Likert Data sensitivity analysis

A conclusion should not depend on an undocumented coding or approximation choice.

Sensitivity to same respondents across items

The primary Friedman Test for Likert Data result is recalculated or reinterpreted after reviewing same respondents across items. The comparison tracks whether N = 649 complete blocks changes enough to alter the substantive conclusion. Where sensitivity to same respondents across items answers a different estimand, it is labeled as repeated-measures ANOVA rather than presented as a duplicate confirmation.

Sensitivity to ordinal or continuous responses

The primary Friedman Test for Likert Data result is recalculated or reinterpreted after reviewing ordinal or continuous responses. The comparison tracks whether k = 4 related items changes enough to alter the substantive conclusion. Where sensitivity to ordinal or continuous responses answers a different estimand, it is labeled as Wilcoxon signed-rank tests rather than presented as a duplicate confirmation.

Sensitivity to independent respondent blocks

The primary Friedman Test for Likert Data result is recalculated or reinterpreted after reviewing independent respondent blocks. The comparison tracks whether ties handled within rows changes enough to alter the substantive conclusion. Where sensitivity to independent respondent blocks answers a different estimand, it is labeled as Cochran Q rather than presented as a duplicate confirmation.

Sensitivity to comparable response scale

The primary Friedman Test for Likert Data result is recalculated or reinterpreted after reviewing comparable response scale. The comparison tracks whether post-hoc contrasts require adjustment changes enough to alter the substantive conclusion. Where sensitivity to comparable response scale answers a different estimand, it is labeled as repeated-measures ANOVA rather than presented as a duplicate confirmation.

Friedman Test for Likert Data compared with neighboring methods

Methods are separated by estimand, design and assumptions.

Method	Question it answers	Why it is not interchangeable here
Friedman Test for Likert Data	whether the same 649 respondents give systematically different ratings across four related 1–5 items	Uses Friedman rank test for related ordinal responses with famrel, freetime, goout and health.
repeated-measures ANOVA	Against the Friedman Test for Likert Data estimand, repeated-measures ANOVA answers a neighboring question using a different statistic or data structure.	Use repeated-measures ANOVA only when its estimand and assumptions match the research design; it cannot be relabeled as Friedman Test for Likert Data.
Wilcoxon signed-rank tests	Against the Friedman Test for Likert Data estimand, Wilcoxon signed-rank tests answers a neighboring question using a different statistic or data structure.	Use Wilcoxon signed-rank tests only when its estimand and assumptions match the research design; it cannot be relabeled as Friedman Test for Likert Data.
Cochran Q	Against the Friedman Test for Likert Data estimand, Cochran Q answers a neighboring question using a different statistic or data structure.	Use Cochran Q only when its estimand and assumptions match the research design; it cannot be relabeled as Friedman Test for Likert Data.

How to report Friedman Test for Likert Data

The report names variables, method, statistic, magnitude, uncertainty and limitation.

Worked reporting paragraph

A Friedman rank test for related ordinal responses was conducted to examine whether the same 649 respondents give systematically different ratings across four related 1–5 items. For Friedman Test for Likert Data, the analysis used famrel, freetime, goout and health from 649 records. The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Interpretation was conditioned on same respondents across items, ordinal or continuous responses and the diagnostic evidence shown in the assigned figures. Within Friedman Test for Likert Data, the finding is observational and is not presented as proof of causation or universal validity.

Concise release wording: Friedman Test for Likert Data produced The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone; the practical meaning remains tied to within-respondent ranks for famrel, freetime, goout and health.

Independent content review for Friedman Test for Likert Data

Within Friedman Test for Likert Data, each review card is tied to this post’s variables, numerical checkpoints, assumptions, figures or legitimate alternatives.

Friedman Test for Likert Data — Definition: related samples in Friedman Test for Likert Data

During the definition review, in Friedman Test for Likert Data, related samples is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the definition stage for related samples, the diagnostic is anchored to k = 4 related items, not to an unrelated rule of thumb. The definition finding for related samples—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when independent respondent blocks remains defensible and the Paired-item descriptive summary figure tells the same numerical story as the table. A visible pattern involving related samples is interpreted through Kendall concordance; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for related samples reveals a changed population, coding direction, group order, or response scale, the related samples calculation is rebuilt before reporting. During the definition review of related samples, Wilcoxon signed-rank tests is considered only when its different estimand actually matches the revised research question.

Friedman Test for Likert Data — Definition: within-row ranks

During the definition review, in this Friedman rank test for related ordinal responses analysis, within-row ranks is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the definition stage for within-row ranks, the diagnostic is anchored to N = 649 complete blocks, not to an unrelated rule of thumb. The definition finding for within-row ranks—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when comparable response scale remains defensible and the Primary Friedman metrics figure tells the same numerical story as the table. A visible pattern involving within-row ranks is interpreted through tied ranks; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for within-row ranks reveals a changed population, coding direction, group order, or response scale, the within-row ranks calculation is rebuilt before reporting. During the definition review of within-row ranks, repeated-measures ANOVA is considered only when its different estimand actually matches the revised research question.

Friedman Test for Likert Data — Definition: omnibus difference

During the definition review, in Friedman Test for Likert Data, omnibus difference is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the definition stage for omnibus difference, the diagnostic is anchored to post-hoc contrasts require adjustment, not to an unrelated rule of thumb. The definition finding for omnibus difference—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when same respondents across items remains defensible and the Within-row rank-pattern frequencies figure tells the same numerical story as the table. A visible pattern involving omnibus difference is interpreted through post-hoc pairs; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for omnibus difference reveals a changed population, coding direction, group order, or response scale, the omnibus difference calculation is rebuilt before reporting. During the definition review of omnibus difference, Cochran Q is considered only when its different estimand actually matches the revised research question.

Friedman Test for Likert Data — Definition: Kendall concordance in Friedman Test for Likert Data

During the definition review, in this Friedman rank test for related ordinal responses analysis, Kendall concordance is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the definition stage for Kendall concordance, the diagnostic is anchored to ties handled within rows, not to an unrelated rule of thumb. The definition finding for Kendall concordance—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when ordinal or continuous responses remains defensible and the Mean rank ordering figure tells the same numerical story as the table. A visible pattern involving Kendall concordance is interpreted through related samples; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for kendall concordance reveals a changed population, coding direction, group order, or response scale, the Kendall concordance calculation is rebuilt before reporting. During the definition review of Kendall concordance, Wilcoxon signed-rank tests is considered only when its different estimand actually matches the revised research question.

Friedman Test for Likert Data — Definition: tied ranks

During the definition review, in Friedman Test for Likert Data, tied ranks is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the definition stage for tied ranks, the diagnostic is anchored to k = 4 related items, not to an unrelated rule of thumb. The definition finding for tied ranks—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when independent respondent blocks remains defensible and the Verified Friedman summary figure tells the same numerical story as the table. A visible pattern involving tied ranks is interpreted through within-row ranks; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for tied ranks reveals a changed population, coding direction, group order, or response scale, the tied ranks calculation is rebuilt before reporting. During the definition review of tied ranks, repeated-measures ANOVA is considered only when its different estimand actually matches the revised research question.

Friedman Test for Likert Data — Definition: post-hoc pairs

During the definition review, in this Friedman rank test for related ordinal responses analysis, post-hoc pairs is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the definition stage for post-hoc pairs, the diagnostic is anchored to N = 649 complete blocks, not to an unrelated rule of thumb. The definition finding for post-hoc pairs—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when comparable response scale remains defensible and the Paired-item descriptive summary figure tells the same numerical story as the table. A visible pattern involving post-hoc pairs is interpreted through omnibus difference; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for post-hoc pairs reveals a changed population, coding direction, group order, or response scale, the post-hoc pairs calculation is rebuilt before reporting. During the definition review of post-hoc pairs, Cochran Q is considered only when its different estimand actually matches the revised research question.

Definition: same respondents across items in Friedman Test for Likert Data

During definition review, the same respondents across items condition has a concrete role in Friedman Test for Likert Data. At its definition stage, same respondents across items determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the definition stage for same respondents across items, the check uses famrel, freetime, goout and health and is reconciled with post-hoc contrasts require adjustment. When same respondents across items is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Primary Friedman metrics display is examined for the observable consequence of failing same respondents across items, while Kendall concordance is reviewed in the original response units. In the definition assessment of same respondents across items, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Wilcoxon signed-rank tests. This is why same respondents across items appears beside the definition result rather than as a detached checklist item.

Definition: ordinal or continuous responses

During definition review, the ordinal or continuous responses condition has a concrete role in this Friedman rank test for related ordinal responses analysis. At its definition stage, ordinal or continuous responses determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the definition stage for ordinal or continuous responses, the check uses famrel, freetime, goout and health and is reconciled with ties handled within rows. When ordinal or continuous responses is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Within-row rank-pattern frequencies display is examined for the observable consequence of failing ordinal or continuous responses, while tied ranks is reviewed in the original response units. In the definition assessment of ordinal or continuous responses, the article either narrows the claim, applies a justified sensitivity calculation, or moves to repeated-measures ANOVA. This is why ordinal or continuous responses appears beside the definition result rather than as a detached checklist item.

Definition: independent respondent blocks

During definition review, the independent respondent blocks condition has a concrete role in Friedman Test for Likert Data. At its definition stage, independent respondent blocks determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the definition stage for independent respondent blocks, the check uses famrel, freetime, goout and health and is reconciled with k = 4 related items. When independent respondent blocks is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Mean rank ordering display is examined for the observable consequence of failing independent respondent blocks, while post-hoc pairs is reviewed in the original response units. In the definition assessment of independent respondent blocks, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Cochran Q. This is why independent respondent blocks appears beside the definition result rather than as a detached checklist item.

Definition: comparable response scale in Friedman Test for Likert Data

During definition review, the comparable response scale condition has a concrete role in this Friedman rank test for related ordinal responses analysis. At its definition stage, comparable response scale determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the definition stage for comparable response scale, the check uses famrel, freetime, goout and health and is reconciled with N = 649 complete blocks. When comparable response scale is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Verified Friedman summary display is examined for the observable consequence of failing comparable response scale, while related samples is reviewed in the original response units. In the definition assessment of comparable response scale, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Wilcoxon signed-rank tests. This is why comparable response scale appears beside the definition result rather than as a detached checklist item.

Definition: N = 649 complete blocks

For definition review, the numerical checkpoint N = 649 complete blocks is reconstructed in Friedman Test for Likert Data from famrel, freetime, goout and health. At the definition stage for N = 649 complete blocks, N = 649 complete blocks must agree with the displayed formula, the software objects, the Excel cells, and the Paired-item descriptive summary graphic after rounding. The definition meaning of N = 649 complete blocks is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of N = 649 complete blocks also depends on same respondents across items. During definition review, N = 649 complete blocks is read with within-row ranks and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the definition reconstruction of N = 649 complete blocks is investigated at full precision rather than concealed by formatting, and repeated-measures ANOVA is not used to force agreement because it answers a different question.

Definition: k = 4 related items

For definition review, the numerical checkpoint k = 4 related items is reconstructed in this Friedman rank test for related ordinal responses analysis from famrel, freetime, goout and health. At the definition stage for k = 4 related items, k = 4 related items must agree with the displayed formula, the software objects, the Excel cells, and the Primary Friedman metrics graphic after rounding. The definition meaning of k = 4 related items is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of k = 4 related items also depends on ordinal or continuous responses. During definition review, k = 4 related items is read with omnibus difference and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the definition reconstruction of k = 4 related items is investigated at full precision rather than concealed by formatting, and Cochran Q is not used to force agreement because it answers a different question.

Definition: ties handled within rows in Friedman Test for Likert Data

For definition review, the numerical checkpoint ties handled within rows is reconstructed in Friedman Test for Likert Data from famrel, freetime, goout and health. At the definition stage for ties handled within rows, ties handled within rows must agree with the displayed formula, the software objects, the Excel cells, and the Within-row rank-pattern frequencies graphic after rounding. The definition meaning of ties handled within rows is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of ties handled within rows also depends on independent respondent blocks. During definition review, ties handled within rows is read with Kendall concordance and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the definition reconstruction of ties handled within rows is investigated at full precision rather than concealed by formatting, and Wilcoxon signed-rank tests is not used to force agreement because it answers a different question.

Definition: post-hoc contrasts require adjustment

For definition review, the numerical checkpoint post-hoc contrasts require adjustment is reconstructed in this Friedman rank test for related ordinal responses analysis from famrel, freetime, goout and health. At the definition stage for post-hoc contrasts require adjustment, post-hoc contrasts require adjustment must agree with the displayed formula, the software objects, the Excel cells, and the Mean rank ordering graphic after rounding. The definition meaning of post-hoc contrasts require adjustment is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of post-hoc contrasts require adjustment also depends on comparable response scale. During definition review, post-hoc contrasts require adjustment is read with tied ranks and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the definition reconstruction of post-hoc contrasts require adjustment is investigated at full precision rather than concealed by formatting, and repeated-measures ANOVA is not used to force agreement because it answers a different question.

Definition: repeated-measures ANOVA

During definition review, repeated-measures ANOVA is a legitimate neighboring method, but at that stage it is not another name for Friedman Test for Likert Data. The definition comparison with repeated-measures ANOVA starts from whether the same 649 respondents give systematically different ratings across four related 1–5 items and the outcome within-respondent ranks for famrel, freetime, goout and health from famrel, freetime, goout and health. At the definition stage, choosing repeated-measures ANOVA would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The definition decision boundary for repeated-measures ANOVA is made explicit through post-hoc contrasts require adjustment, same respondents across items, and the Verified Friedman summary figure. When the definition evidence for repeated-measures ANOVA supports the declared Friedman rank test for related ordinal responses rather than repeated-measures ANOVA, the result remains The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. When the same definition evidence instead supports repeated-measures ANOVA, the alternative is reported under its own name with its own formula and interpretation. In the definition comparison with repeated-measures ANOVA, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Definition: Wilcoxon signed-rank tests in Friedman Test for Likert Data

During definition review, Wilcoxon signed-rank tests is a legitimate neighboring method, but at that stage it is not another name for this Friedman rank test for related ordinal responses analysis. The definition comparison with Wilcoxon signed-rank tests starts from whether the same 649 respondents give systematically different ratings across four related 1–5 items and the outcome within-respondent ranks for famrel, freetime, goout and health from famrel, freetime, goout and health. At the definition stage, choosing Wilcoxon signed-rank tests would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The definition decision boundary for Wilcoxon signed-rank tests is made explicit through ties handled within rows, ordinal or continuous responses, and the Paired-item descriptive summary figure. When the definition evidence for Wilcoxon signed-rank tests supports the declared Friedman rank test for related ordinal responses rather than Wilcoxon signed-rank tests, the result remains The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. When the same definition evidence instead supports Wilcoxon signed-rank tests, the alternative is reported under its own name with its own formula and interpretation. In the definition comparison with Wilcoxon signed-rank tests, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Definition: Cochran Q

During definition review, Cochran Q is a legitimate neighboring method, but at that stage it is not another name for Friedman Test for Likert Data. The definition comparison with Cochran Q starts from whether the same 649 respondents give systematically different ratings across four related 1–5 items and the outcome within-respondent ranks for famrel, freetime, goout and health from famrel, freetime, goout and health. At the definition stage, choosing Cochran Q would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The definition decision boundary for Cochran Q is made explicit through k = 4 related items, independent respondent blocks, and the Primary Friedman metrics figure. When the definition evidence for Cochran Q supports the declared Friedman rank test for related ordinal responses rather than Cochran Q, the result remains The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. When the same definition evidence instead supports Cochran Q, the alternative is reported under its own name with its own formula and interpretation. In the definition comparison with Cochran Q, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Definition: Primary Friedman metrics

During definition review, the Primary Friedman metrics figure is interpreted as part of this Friedman rank test for related ordinal responses analysis, not as decorative output. At the definition stage for Primary Friedman metrics, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint N = 649 complete blocks. The definition reading of Primary Friedman metrics is used to clarify omnibus difference for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Primary Friedman metrics plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Primary Friedman metrics and comparable response scale is examined before the visual pattern is described. The definition caption for Primary Friedman metrics states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the definition review of Primary Friedman metrics instead represents the target of Cochran Q, that figure belongs in the separate Cochran Q analysis rather than this post.

Definition: Mean rank ordering in Friedman Test for Likert Data

During definition review, the Mean rank ordering figure is interpreted as part of Friedman Test for Likert Data, not as decorative output. At the definition stage for Mean rank ordering, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint post-hoc contrasts require adjustment. The definition reading of Mean rank ordering is used to clarify Kendall concordance for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Mean rank ordering plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Mean rank ordering and same respondents across items is examined before the visual pattern is described. The definition caption for Mean rank ordering states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the definition review of Mean rank ordering instead represents the target of Wilcoxon signed-rank tests, that figure belongs in the separate Wilcoxon signed-rank tests analysis rather than this post.

Definition: Paired-item descriptive summary

During definition review, the Paired-item descriptive summary figure is interpreted as part of this Friedman rank test for related ordinal responses analysis, not as decorative output. At the definition stage for Paired-item descriptive summary, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint ties handled within rows. The definition reading of Paired-item descriptive summary is used to clarify tied ranks for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Paired-item descriptive summary plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Paired-item descriptive summary and ordinal or continuous responses is examined before the visual pattern is described. The definition caption for Paired-item descriptive summary states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the definition review of Paired-item descriptive summary instead represents the target of repeated-measures ANOVA, that figure belongs in the separate repeated-measures ANOVA analysis rather than this post.

Definition: Within-row rank-pattern frequencies

During definition review, the Within-row rank-pattern frequencies figure is interpreted as part of Friedman Test for Likert Data, not as decorative output. At the definition stage for Within-row rank-pattern frequencies, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint k = 4 related items. The definition reading of Within-row rank-pattern frequencies is used to clarify post-hoc pairs for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Within-row rank-pattern frequencies plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Within-row rank-pattern frequencies and independent respondent blocks is examined before the visual pattern is described. The definition caption for Within-row rank-pattern frequencies states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the definition review of Within-row rank-pattern frequencies instead represents the target of Cochran Q, that figure belongs in the separate Cochran Q analysis rather than this post.

Definition: Verified Friedman summary in Friedman Test for Likert Data

During definition review, the Verified Friedman summary figure is interpreted as part of this Friedman rank test for related ordinal responses analysis, not as decorative output. At the definition stage for Verified Friedman summary, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint N = 649 complete blocks. The definition reading of Verified Friedman summary is used to clarify related samples for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Verified Friedman summary plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Verified Friedman summary and comparable response scale is examined before the visual pattern is described. The definition caption for Verified Friedman summary states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the definition review of Verified Friedman summary instead represents the target of Wilcoxon signed-rank tests, that figure belongs in the separate Wilcoxon signed-rank tests analysis rather than this post.

Calculation: related samples

During the calculation review, in Friedman Test for Likert Data, related samples is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the calculation stage for related samples, the diagnostic is anchored to post-hoc contrasts require adjustment, not to an unrelated rule of thumb. The calculation finding for related samples—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when same respondents across items remains defensible and the Within-row rank-pattern frequencies figure tells the same numerical story as the table. A visible pattern involving related samples is interpreted through within-row ranks; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for related samples reveals a changed population, coding direction, group order, or response scale, the related samples calculation is rebuilt before reporting. During the calculation review of related samples, repeated-measures ANOVA is considered only when its different estimand actually matches the revised research question.

Calculation: within-row ranks

During the calculation review, in this Friedman rank test for related ordinal responses analysis, within-row ranks is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the calculation stage for within-row ranks, the diagnostic is anchored to ties handled within rows, not to an unrelated rule of thumb. The calculation finding for within-row ranks—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when ordinal or continuous responses remains defensible and the Mean rank ordering figure tells the same numerical story as the table. A visible pattern involving within-row ranks is interpreted through omnibus difference; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for within-row ranks reveals a changed population, coding direction, group order, or response scale, the within-row ranks calculation is rebuilt before reporting. During the calculation review of within-row ranks, Cochran Q is considered only when its different estimand actually matches the revised research question.

Calculation: omnibus difference in Friedman Test for Likert Data

During the calculation review, in Friedman Test for Likert Data, omnibus difference is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the calculation stage for omnibus difference, the diagnostic is anchored to k = 4 related items, not to an unrelated rule of thumb. The calculation finding for omnibus difference—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when independent respondent blocks remains defensible and the Verified Friedman summary figure tells the same numerical story as the table. A visible pattern involving omnibus difference is interpreted through Kendall concordance; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for omnibus difference reveals a changed population, coding direction, group order, or response scale, the omnibus difference calculation is rebuilt before reporting. During the calculation review of omnibus difference, Wilcoxon signed-rank tests is considered only when its different estimand actually matches the revised research question.

Calculation: Kendall concordance

During the calculation review, in this Friedman rank test for related ordinal responses analysis, Kendall concordance is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the calculation stage for Kendall concordance, the diagnostic is anchored to N = 649 complete blocks, not to an unrelated rule of thumb. The calculation finding for Kendall concordance—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when comparable response scale remains defensible and the Paired-item descriptive summary figure tells the same numerical story as the table. A visible pattern involving Kendall concordance is interpreted through tied ranks; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for kendall concordance reveals a changed population, coding direction, group order, or response scale, the Kendall concordance calculation is rebuilt before reporting. During the calculation review of Kendall concordance, repeated-measures ANOVA is considered only when its different estimand actually matches the revised research question.

Calculation: tied ranks

During the calculation review, in Friedman Test for Likert Data, tied ranks is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the calculation stage for tied ranks, the diagnostic is anchored to post-hoc contrasts require adjustment, not to an unrelated rule of thumb. The calculation finding for tied ranks—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when same respondents across items remains defensible and the Primary Friedman metrics figure tells the same numerical story as the table. A visible pattern involving tied ranks is interpreted through post-hoc pairs; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for tied ranks reveals a changed population, coding direction, group order, or response scale, the tied ranks calculation is rebuilt before reporting. During the calculation review of tied ranks, Cochran Q is considered only when its different estimand actually matches the revised research question.

Calculation: post-hoc pairs in Friedman Test for Likert Data

During the calculation review, in this Friedman rank test for related ordinal responses analysis, post-hoc pairs is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the calculation stage for post-hoc pairs, the diagnostic is anchored to ties handled within rows, not to an unrelated rule of thumb. The calculation finding for post-hoc pairs—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when ordinal or continuous responses remains defensible and the Within-row rank-pattern frequencies figure tells the same numerical story as the table. A visible pattern involving post-hoc pairs is interpreted through related samples; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for post-hoc pairs reveals a changed population, coding direction, group order, or response scale, the post-hoc pairs calculation is rebuilt before reporting. During the calculation review of post-hoc pairs, Wilcoxon signed-rank tests is considered only when its different estimand actually matches the revised research question.

Calculation: same respondents across items

During calculation review, the same respondents across items condition has a concrete role in Friedman Test for Likert Data. At its calculation stage, same respondents across items determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the calculation stage for same respondents across items, the check uses famrel, freetime, goout and health and is reconciled with k = 4 related items. When same respondents across items is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Mean rank ordering display is examined for the observable consequence of failing same respondents across items, while within-row ranks is reviewed in the original response units. In the calculation assessment of same respondents across items, the article either narrows the claim, applies a justified sensitivity calculation, or moves to repeated-measures ANOVA. This is why same respondents across items appears beside the calculation result rather than as a detached checklist item.

Calculation: ordinal or continuous responses

During calculation review, the ordinal or continuous responses condition has a concrete role in this Friedman rank test for related ordinal responses analysis. At its calculation stage, ordinal or continuous responses determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the calculation stage for ordinal or continuous responses, the check uses famrel, freetime, goout and health and is reconciled with N = 649 complete blocks. When ordinal or continuous responses is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Verified Friedman summary display is examined for the observable consequence of failing ordinal or continuous responses, while omnibus difference is reviewed in the original response units. In the calculation assessment of ordinal or continuous responses, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Cochran Q. This is why ordinal or continuous responses appears beside the calculation result rather than as a detached checklist item.

Calculation: independent respondent blocks in Friedman Test for Likert Data

During calculation review, the independent respondent blocks condition has a concrete role in Friedman Test for Likert Data. At its calculation stage, independent respondent blocks determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the calculation stage for independent respondent blocks, the check uses famrel, freetime, goout and health and is reconciled with post-hoc contrasts require adjustment. When independent respondent blocks is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Paired-item descriptive summary display is examined for the observable consequence of failing independent respondent blocks, while Kendall concordance is reviewed in the original response units. In the calculation assessment of independent respondent blocks, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Wilcoxon signed-rank tests. This is why independent respondent blocks appears beside the calculation result rather than as a detached checklist item.

Calculation: comparable response scale

During calculation review, the comparable response scale condition has a concrete role in this Friedman rank test for related ordinal responses analysis. At its calculation stage, comparable response scale determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the calculation stage for comparable response scale, the check uses famrel, freetime, goout and health and is reconciled with ties handled within rows. When comparable response scale is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Primary Friedman metrics display is examined for the observable consequence of failing comparable response scale, while tied ranks is reviewed in the original response units. In the calculation assessment of comparable response scale, the article either narrows the claim, applies a justified sensitivity calculation, or moves to repeated-measures ANOVA. This is why comparable response scale appears beside the calculation result rather than as a detached checklist item.

Calculation: N = 649 complete blocks

For calculation review, the numerical checkpoint N = 649 complete blocks is reconstructed in Friedman Test for Likert Data from famrel, freetime, goout and health. At the calculation stage for N = 649 complete blocks, N = 649 complete blocks must agree with the displayed formula, the software objects, the Excel cells, and the Within-row rank-pattern frequencies graphic after rounding. The calculation meaning of N = 649 complete blocks is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of N = 649 complete blocks also depends on independent respondent blocks. During calculation review, N = 649 complete blocks is read with post-hoc pairs and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the calculation reconstruction of N = 649 complete blocks is investigated at full precision rather than concealed by formatting, and Cochran Q is not used to force agreement because it answers a different question.

Calculation: k = 4 related items in Friedman Test for Likert Data

For calculation review, the numerical checkpoint k = 4 related items is reconstructed in this Friedman rank test for related ordinal responses analysis from famrel, freetime, goout and health. At the calculation stage for k = 4 related items, k = 4 related items must agree with the displayed formula, the software objects, the Excel cells, and the Mean rank ordering graphic after rounding. The calculation meaning of k = 4 related items is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of k = 4 related items also depends on comparable response scale. During calculation review, k = 4 related items is read with related samples and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the calculation reconstruction of k = 4 related items is investigated at full precision rather than concealed by formatting, and Wilcoxon signed-rank tests is not used to force agreement because it answers a different question.

Calculation: ties handled within rows

For calculation review, the numerical checkpoint ties handled within rows is reconstructed in Friedman Test for Likert Data from famrel, freetime, goout and health. At the calculation stage for ties handled within rows, ties handled within rows must agree with the displayed formula, the software objects, the Excel cells, and the Verified Friedman summary graphic after rounding. The calculation meaning of ties handled within rows is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of ties handled within rows also depends on same respondents across items. During calculation review, ties handled within rows is read with within-row ranks and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the calculation reconstruction of ties handled within rows is investigated at full precision rather than concealed by formatting, and repeated-measures ANOVA is not used to force agreement because it answers a different question.

Calculation: post-hoc contrasts require adjustment

For calculation review, the numerical checkpoint post-hoc contrasts require adjustment is reconstructed in this Friedman rank test for related ordinal responses analysis from famrel, freetime, goout and health. At the calculation stage for post-hoc contrasts require adjustment, post-hoc contrasts require adjustment must agree with the displayed formula, the software objects, the Excel cells, and the Paired-item descriptive summary graphic after rounding. The calculation meaning of post-hoc contrasts require adjustment is limited to within-respondent ranks for famrel, freetime, goout and health; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of post-hoc contrasts require adjustment also depends on ordinal or continuous responses. During calculation review, post-hoc contrasts require adjustment is read with omnibus difference and with the complete finding, The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. Any discrepancy in the calculation reconstruction of post-hoc contrasts require adjustment is investigated at full precision rather than concealed by formatting, and Cochran Q is not used to force agreement because it answers a different question.

Calculation: repeated-measures ANOVA in Friedman Test for Likert Data

During calculation review, repeated-measures ANOVA is a legitimate neighboring method, but at that stage it is not another name for Friedman Test for Likert Data. The calculation comparison with repeated-measures ANOVA starts from whether the same 649 respondents give systematically different ratings across four related 1–5 items and the outcome within-respondent ranks for famrel, freetime, goout and health from famrel, freetime, goout and health. At the calculation stage, choosing repeated-measures ANOVA would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The calculation decision boundary for repeated-measures ANOVA is made explicit through k = 4 related items, independent respondent blocks, and the Primary Friedman metrics figure. When the calculation evidence for repeated-measures ANOVA supports the declared Friedman rank test for related ordinal responses rather than repeated-measures ANOVA, the result remains The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. When the same calculation evidence instead supports repeated-measures ANOVA, the alternative is reported under its own name with its own formula and interpretation. In the calculation comparison with repeated-measures ANOVA, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Calculation: Wilcoxon signed-rank tests

During calculation review, Wilcoxon signed-rank tests is a legitimate neighboring method, but at that stage it is not another name for this Friedman rank test for related ordinal responses analysis. The calculation comparison with Wilcoxon signed-rank tests starts from whether the same 649 respondents give systematically different ratings across four related 1–5 items and the outcome within-respondent ranks for famrel, freetime, goout and health from famrel, freetime, goout and health. At the calculation stage, choosing Wilcoxon signed-rank tests would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The calculation decision boundary for Wilcoxon signed-rank tests is made explicit through N = 649 complete blocks, comparable response scale, and the Within-row rank-pattern frequencies figure. When the calculation evidence for Wilcoxon signed-rank tests supports the declared Friedman rank test for related ordinal responses rather than Wilcoxon signed-rank tests, the result remains The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. When the same calculation evidence instead supports Wilcoxon signed-rank tests, the alternative is reported under its own name with its own formula and interpretation. In the calculation comparison with Wilcoxon signed-rank tests, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Calculation: Cochran Q

During calculation review, Cochran Q is a legitimate neighboring method, but at that stage it is not another name for Friedman Test for Likert Data. The calculation comparison with Cochran Q starts from whether the same 649 respondents give systematically different ratings across four related 1–5 items and the outcome within-respondent ranks for famrel, freetime, goout and health from famrel, freetime, goout and health. At the calculation stage, choosing Cochran Q would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The calculation decision boundary for Cochran Q is made explicit through post-hoc contrasts require adjustment, same respondents across items, and the Mean rank ordering figure. When the calculation evidence for Cochran Q supports the declared Friedman rank test for related ordinal responses rather than Cochran Q, the result remains The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. When the same calculation evidence instead supports Cochran Q, the alternative is reported under its own name with its own formula and interpretation. In the calculation comparison with Cochran Q, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Calculation: Primary Friedman metrics in Friedman Test for Likert Data

During calculation review, the Primary Friedman metrics figure is interpreted as part of this Friedman rank test for related ordinal responses analysis, not as decorative output. At the calculation stage for Primary Friedman metrics, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint ties handled within rows. The calculation reading of Primary Friedman metrics is used to clarify related samples for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Primary Friedman metrics plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Primary Friedman metrics and ordinal or continuous responses is examined before the visual pattern is described. The calculation caption for Primary Friedman metrics states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the calculation review of Primary Friedman metrics instead represents the target of Wilcoxon signed-rank tests, that figure belongs in the separate Wilcoxon signed-rank tests analysis rather than this post.

Calculation: Mean rank ordering

During calculation review, the Mean rank ordering figure is interpreted as part of Friedman Test for Likert Data, not as decorative output. At the calculation stage for Mean rank ordering, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint k = 4 related items. The calculation reading of Mean rank ordering is used to clarify within-row ranks for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Mean rank ordering plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Mean rank ordering and independent respondent blocks is examined before the visual pattern is described. The calculation caption for Mean rank ordering states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the calculation review of Mean rank ordering instead represents the target of repeated-measures ANOVA, that figure belongs in the separate repeated-measures ANOVA analysis rather than this post.

Calculation: Paired-item descriptive summary

During calculation review, the Paired-item descriptive summary figure is interpreted as part of this Friedman rank test for related ordinal responses analysis, not as decorative output. At the calculation stage for Paired-item descriptive summary, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint N = 649 complete blocks. The calculation reading of Paired-item descriptive summary is used to clarify omnibus difference for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Paired-item descriptive summary plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Paired-item descriptive summary and comparable response scale is examined before the visual pattern is described. The calculation caption for Paired-item descriptive summary states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the calculation review of Paired-item descriptive summary instead represents the target of Cochran Q, that figure belongs in the separate Cochran Q analysis rather than this post.

Calculation: Within-row rank-pattern frequencies in Friedman Test for Likert Data

During calculation review, the Within-row rank-pattern frequencies figure is interpreted as part of Friedman Test for Likert Data, not as decorative output. At the calculation stage for Within-row rank-pattern frequencies, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint post-hoc contrasts require adjustment. The calculation reading of Within-row rank-pattern frequencies is used to clarify Kendall concordance for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Within-row rank-pattern frequencies plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Within-row rank-pattern frequencies and same respondents across items is examined before the visual pattern is described. The calculation caption for Within-row rank-pattern frequencies states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the calculation review of Within-row rank-pattern frequencies instead represents the target of Wilcoxon signed-rank tests, that figure belongs in the separate Wilcoxon signed-rank tests analysis rather than this post.

Calculation: Verified Friedman summary

During calculation review, the Verified Friedman summary figure is interpreted as part of this Friedman rank test for related ordinal responses analysis, not as decorative output. At the calculation stage for Verified Friedman summary, its axes, categories, item direction, sample size, and annotations must match famrel, freetime, goout and health and the checkpoint ties handled within rows. The calculation reading of Verified Friedman summary is used to clarify tied ranks for the defined outcome within-respondent ranks for famrel, freetime, goout and health. The Verified Friedman summary plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond whether the same 649 respondents give systematically different ratings across four related 1–5 items. Agreement between Verified Friedman summary and ordinal or continuous responses is examined before the visual pattern is described. The calculation caption for Verified Friedman summary states what the plot shows, what it does not establish, and how it relates to the verified finding The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone. If the calculation review of Verified Friedman summary instead represents the target of repeated-measures ANOVA, that figure belongs in the separate repeated-measures ANOVA analysis rather than this post.

Interpretation: related samples

During the interpretation review, in Friedman Test for Likert Data, related samples is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the interpretation stage for related samples, the diagnostic is anchored to k = 4 related items, not to an unrelated rule of thumb. The interpretation finding for related samples—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when independent respondent blocks remains defensible and the Verified Friedman summary figure tells the same numerical story as the table. A visible pattern involving related samples is interpreted through post-hoc pairs; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for related samples reveals a changed population, coding direction, group order, or response scale, the related samples calculation is rebuilt before reporting. During the interpretation review of related samples, Cochran Q is considered only when its different estimand actually matches the revised research question.

Interpretation: within-row ranks in Friedman Test for Likert Data

During the interpretation review, in this Friedman rank test for related ordinal responses analysis, within-row ranks is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the interpretation stage for within-row ranks, the diagnostic is anchored to N = 649 complete blocks, not to an unrelated rule of thumb. The interpretation finding for within-row ranks—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when comparable response scale remains defensible and the Paired-item descriptive summary figure tells the same numerical story as the table. A visible pattern involving within-row ranks is interpreted through related samples; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for within-row ranks reveals a changed population, coding direction, group order, or response scale, the within-row ranks calculation is rebuilt before reporting. During the interpretation review of within-row ranks, Wilcoxon signed-rank tests is considered only when its different estimand actually matches the revised research question.

Interpretation: omnibus difference

During the interpretation review, in Friedman Test for Likert Data, omnibus difference is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the interpretation stage for omnibus difference, the diagnostic is anchored to post-hoc contrasts require adjustment, not to an unrelated rule of thumb. The interpretation finding for omnibus difference—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when same respondents across items remains defensible and the Primary Friedman metrics figure tells the same numerical story as the table. A visible pattern involving omnibus difference is interpreted through within-row ranks; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for omnibus difference reveals a changed population, coding direction, group order, or response scale, the omnibus difference calculation is rebuilt before reporting. During the interpretation review of omnibus difference, repeated-measures ANOVA is considered only when its different estimand actually matches the revised research question.

Interpretation: Kendall concordance

During the interpretation review, in this Friedman rank test for related ordinal responses analysis, Kendall concordance is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the interpretation stage for Kendall concordance, the diagnostic is anchored to ties handled within rows, not to an unrelated rule of thumb. The interpretation finding for Kendall concordance—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when ordinal or continuous responses remains defensible and the Within-row rank-pattern frequencies figure tells the same numerical story as the table. A visible pattern involving Kendall concordance is interpreted through omnibus difference; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for kendall concordance reveals a changed population, coding direction, group order, or response scale, the Kendall concordance calculation is rebuilt before reporting. During the interpretation review of Kendall concordance, Cochran Q is considered only when its different estimand actually matches the revised research question.

Interpretation: tied ranks in Friedman Test for Likert Data

During the interpretation review, in Friedman Test for Likert Data, tied ranks is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the interpretation stage for tied ranks, the diagnostic is anchored to k = 4 related items, not to an unrelated rule of thumb. The interpretation finding for tied ranks—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when independent respondent blocks remains defensible and the Mean rank ordering figure tells the same numerical story as the table. A visible pattern involving tied ranks is interpreted through Kendall concordance; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for tied ranks reveals a changed population, coding direction, group order, or response scale, the tied ranks calculation is rebuilt before reporting. During the interpretation review of tied ranks, Wilcoxon signed-rank tests is considered only when its different estimand actually matches the revised research question.

Interpretation: post-hoc pairs

During the interpretation review, in this Friedman rank test for related ordinal responses analysis, post-hoc pairs is evaluated within the exact target within-respondent ranks for famrel, freetime, goout and health, using famrel, freetime, goout and health. At the interpretation stage for post-hoc pairs, the diagnostic is anchored to N = 649 complete blocks, not to an unrelated rule of thumb. The interpretation finding for post-hoc pairs—The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone—is retained only when comparable response scale remains defensible and the Verified Friedman summary figure tells the same numerical story as the table. A visible pattern involving post-hoc pairs is interpreted through tied ranks; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for post-hoc pairs reveals a changed population, coding direction, group order, or response scale, the post-hoc pairs calculation is rebuilt before reporting. During the interpretation review of post-hoc pairs, repeated-measures ANOVA is considered only when its different estimand actually matches the revised research question.

Interpretation: same respondents across items

During interpretation review, the same respondents across items condition has a concrete role in Friedman Test for Likert Data. At its interpretation stage, same respondents across items determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the interpretation stage for same respondents across items, the check uses famrel, freetime, goout and health and is reconciled with post-hoc contrasts require adjustment. When same respondents across items is doubtful during interpretation review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Paired-item descriptive summary display is examined for the observable consequence of failing same respondents across items, while post-hoc pairs is reviewed in the original response units. In the interpretation assessment of same respondents across items, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Cochran Q. This is why same respondents across items appears beside the interpretation result rather than as a detached checklist item.

Interpretation: ordinal or continuous responses in Friedman Test for Likert Data

During interpretation review, the ordinal or continuous responses condition has a concrete role in this Friedman rank test for related ordinal responses analysis. At its interpretation stage, ordinal or continuous responses determines whether Friedman rank test for related ordinal responses can answer whether the same 649 respondents give systematically different ratings across four related 1–5 items. At the interpretation stage for ordinal or continuous responses, the check uses famrel, freetime, goout and health and is reconciled with ties handled within rows. When ordinal or continuous responses is doubtful during interpretation review, software output may still appear complete, but the result cannot automatically retain the interpretation within-respondent ranks for famrel, freetime, goout and health. The Primary Friedman metrics display is examined for the observable consequence of failing ordinal or continuous responses, while related samples is reviewed in the original response units. In the interpretation assessment of ordinal or continuous responses, the article either narrows the claim, applies a justified sensitivity calculation, or moves to Wilcoxon signed-rank tests. This is why ordinal or continuous responses appears beside the interpretation result rather than as a detached checklist item.

Friedman Test for Likert Data downloads

Only files assigned to this workbook row are linked.

Python reportFriedman rank test for related ordinal responses output for within-respondent ranks for famrel, freetime, goout and health, including the numerical checkpoints and diagnostics discussed above.Open file

R reportFriedman rank test for related ordinal responses output for within-respondent ranks for famrel, freetime, goout and health, including the numerical checkpoints and diagnostics discussed above.Open file

SPSS outputFriedman rank test for related ordinal responses output for within-respondent ranks for famrel, freetime, goout and health, including the numerical checkpoints and diagnostics discussed above.Open file

Worked Excel analysisFriedman rank test for related ordinal responses output for within-respondent ranks for famrel, freetime, goout and health, including the numerical checkpoints and diagnostics discussed above.Open file

Friedman Test for Likert Data FAQs

Answers stay within the worked variables and result.

What question does Friedman Test for Likert Data answer?

It asks whether the same 649 respondents give systematically different ratings across four related 1–5 items and limits the answer to within-respondent ranks for famrel, freetime, goout and health.

Which fields are used in Friedman Test for Likert Data?

The worked analysis uses famrel, freetime, goout and health; changing that ledger creates a different analysis.

What is the main worked result?

The reported result is The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone.

Which condition is most important?

Same respondents across items is checked first, followed by ordinal or continuous responses, independent respondent blocks and comparable response scale.

How should N = 649 complete blocks be interpreted?

It is read in the units and category order of within-respondent ranks for famrel, freetime, goout and health and reconciled with the remaining numerical checkpoints.

What does the first diagnostic figure contribute?

Primary Friedman metrics establishes the headline numerical context; the remaining figures examine within-row ranks, omnibus difference and the final result.

When would repeated-measures ANOVA be preferable?

It is preferable only when its estimand and assumptions match the revised research question more closely than Friedman rank test for related ordinal responses.

How are missing values or invalid codes handled?

The same declared analysis population is used in Python, R, SPSS and Excel, and any exclusion is reported before k = 4 related items is calculated.

Can the result be interpreted causally?

No. The worked dataset is observational; Friedman Test for Likert Data reports the defined association, distribution, score, model or data-management result without claiming an intervention effect.

What must appear in the final report?

Name famrel, freetime, goout and health, identify Friedman rank test for related ordinal responses, report The mean profiles differ visibly, with famrel highest and freetime/goout lower; the omnibus rank test is interpreted with Kendall’s W rather than by p-value alone, describe the relevant diagnostics, and state the limitation created by same respondents across items.