descriptive two-way tabulation

Cross Tabulation for Survey Data: Formula, Real Data, Results and Software Workflows

Cross Tabulation for Survey Data is a complete worked analysis of how school and gender categories are distributed jointly before any inferential claim is made using school (GP/MS) and gender (F/M). Within Cross Tabulation for Survey Data, the 649-record example connects the exact formula to the observed values, diagnostic figures, and reproducible Python, R, SPSS and Excel calculations.

school-by-gender count and percentage tablecell countsrow denominator649-record real-data analysisNative MathML formulas

Checkpoint 1grand total = 649

Checkpoint 2female total = 383

Checkpoint 3male total = 266

Checkpoint 4GP total = 423; MS total = 226

Quick answer

GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS

The worked Cross Tabulation for Survey Data analysis is restricted to school-by-gender count and percentage table. It uses school (GP/MS) and gender (F/M) and reaches this reportable conclusion: GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Within Cross Tabulation for Survey Data, that wording is deliberately narrower than a general claim about all survey constructs, all groups or all possible models.

Cross Tabulation for Survey Data interpretation boundary: one record per student and stable category labels are checked before the result is generalized. A different design may require chi-square test rather than this procedure.

What Cross Tabulation for Survey Data measures

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

Cross Tabulation for Survey Data addresses how school and gender categories are distributed jointly before any inferential claim is made. Its target is school-by-gender count and percentage table, not a general claim about every variable in the source file.

Defined target

Within Cross Tabulation for Survey Data, the analysis treats school (GP/MS) and gender (F/M) as the complete variable ledger. This ledger fixes the unit of analysis, group order, score direction and denominator. The central result is GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS.

Descriptive two-way tabulation is appropriate only for this defined target. The article does not relabel chi-square test, frequency table or mosaic plot as the same procedure.

What is not being claimed

Cross Tabulation for Survey 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 one record per student, stable category labels, correct denominator choice and no percentage without counts.

The post therefore reports cell counts, row denominator and column denominator before extending the result. This sequence prevents a software label from becoming a broader scientific conclusion.

Cross Tabulation for Survey Data data and variable ledger

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

Analysis population and source structure

For Cross Tabulation for Survey Data, the working source contains 649 records and 33 variables, while the operative fields are school (GP/MS) and gender (F/M). Within Cross Tabulation for Survey 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	grand total = 649	For Cross Tabulation for Survey Data, checkpoint 1 must agree across the article, its assigned chart, the software report and the workbook.
Checkpoint 2	female total = 383	For Cross Tabulation for Survey Data, checkpoint 2 must agree across the article, its assigned chart, the software report and the workbook.
Checkpoint 3	male total = 266	For Cross Tabulation for Survey Data, checkpoint 3 must agree across the article, its assigned chart, the software report and the workbook.
Checkpoint 4	GP total = 423; MS total = 226	For Cross Tabulation for Survey Data, checkpoint 4 must agree across the article, its assigned chart, the software report and the workbook.
Question	how school and gender categories are distributed jointly before any inferential claim is made	Cannot be broadened after seeing the p-value or graphic.
Outcome	school-by-gender count and percentage table	Units and category order remain explicit.

Figure sequence: The analysis moves from Primary crosstab metrics through Verified crosstab summary. Each figure is interpreted with grand total = 649 and the declared school-by-gender count and percentage table rather than as a stand-alone visual claim.

Research design and estimand for Cross Tabulation for Survey Data

Within Cross Tabulation for Survey 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 school-by-gender count and percentage table; no row is silently duplicated across this analysis.

Estimand

The estimand asks how school and gender categories are distributed jointly before any inferential claim is made.

Primary output

The primary output is stated as GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS.

Scale meaning

school-by-gender count and percentage table is interpreted in its declared unit and order.

Software agreement

Python, R, SPSS and Excel must use the same rows, coding and descriptive two-way tabulation formula.

Decision rule

Magnitude, precision, assumptions and diagnostics for school-by-gender count and percentage table are considered together; a p-value is never the entire conclusion.

Cross Tabulation for Survey Data assumptions and failure consequences

Each condition is connected to a specific change in interpretation.

One record per student

If one record per student fails, the stated descriptive two-way tabulation interpretation may no longer identify school-by-gender count and percentage table.

Stable category labels

The software can still return output when stable category labels is false, so this condition is checked independently.

Correct denominator choice

The article narrows its language or redirects analysis to mosaic plot when correct denominator choice is not defensible.

No percentage without counts

The assigned charts are reviewed for evidence relevant to no percentage without counts before publication.

Cross Tabulation for Survey Data formulas in native MathML

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

The equations below belong to descriptive two-way tabulation and the declared school-by-gender count and percentage table. Within Cross Tabulation for Survey Data, symbols are defined in the surrounding text and numerical substitution remains tied to school (GP/MS) and gender (F/M).

Row % = \frac{n_{i j}}{n_{i \cdot}} \times 100

A row percentage uses the row total as denominator; changing the denominator changes the question.

E_{i j} = \frac{R_{i} C_{j}}{N}

Expected counts are generated from fixed row and column margins under independence.

χ^{2} = \sum_{i = 1}^{r} \sum_{j = 1}^{c} \frac{{(O_{i j} - E_{i j})}^{2}}{E_{i j}}

Pearson contributions accumulate squared observed–expected discrepancies scaled by expected counts.

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

Within Cross Tabulation for Survey 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 Cross Tabulation for Survey Data, sample variance uses the n−1 denominator and describes dispersion in the stated score unit.

Cross Tabulation for Survey 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 Cross Tabulation for Survey Data, browser-native MathML keeps stacked fractions, radicals, sums, subscripts and superscripts readable without an external rendering service.

Worked Cross Tabulation for Survey Data calculation

The result is reconstructed from its actual variables and checkpoints.

Freeze the analysis set

Within Cross Tabulation for Survey Data, retain the rows required for school (GP/MS) and gender (F/M) and record the denominator.

Apply coding rules

Validate range, direction, category order and derived fields for school-by-gender count and percentage table.

Compute the statistic

Use the displayed descriptive two-way tabulation formula rather than a similarly named procedure.

Reconcile software

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

Write the conclusion

Report GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS with its assumptions and limitations.

Calculation checkpoint	Verified content	Interpretive role
1	grand total = 649	cell counts must agree across all outputs.
2	female total = 383	row denominator must agree across all outputs.
3	male total = 266	column denominator must agree across all outputs.
4	GP total = 423; MS total = 226	joint distribution must agree across all outputs.

Verified Cross Tabulation for Survey Data result

The numerical result is stated before broader discussion.

Primary finding

grand total = 649

descriptive two-way tabulation

For the primary release decision, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS.

Wording that is not permitted: Cross Tabulation for Survey Data is not described as proof, certainty, causation or universal measurement validity. The defensible wording remains limited to how school and gender categories are distributed jointly before any inferential claim is made.

Five assigned Cross Tabulation for Survey Data charts

Within Cross Tabulation for Survey Data, the first chart is full width; the remaining figures are paired as in the supplied sample.

Cross Tabulation for Survey Data: Primary crosstab metrics — Primary crosstab metrics
The Primary crosstab metrics panel opens the evidence sequence for descriptive two-way tabulation. It anchors cell counts to grand total = 649 and to school (GP/MS) and gender (F/M). Within Primary crosstab metrics, because the estimand is school-by-gender count and percentage table, the figure is interpreted only as evidence about how school and gender categories are distributed jointly before any inferential claim is made. Within Cross Tabulation for Survey Data, its row count, coding direction and denominator must agree with the result table before the visual pattern is released.

Cross Tabulation for Survey Data: Cell-count table — Cell-count table
In the second figure, Cell-count table isolates row denominator. The plotted values must reproduce female total = 383 from school (GP/MS) and gender (F/M); otherwise the image belongs to a different filter or coding version. The Cell-count table display supports school-by-gender count and percentage table without converting the chapter into a broader claim about unrelated survey fields.

Cross Tabulation for Survey Data: Row-percentage distribution — Row-percentage distribution
The Row-percentage distribution graphic supplies the third numerical cross-check. For this descriptive two-way tabulation, column denominator is read together with male total = 266, the declared group or item order, and the 649-record denominator. A visually strong pattern cannot override a contradictory table, formula or software object.

Cross Tabulation for Survey Data: Column-percentage composition — Column-percentage composition
Figure four, Column-percentage composition, focuses on joint distribution as a diagnostic rather than decoration. It must preserve school (GP/MS) and gender (F/M) and remain consistent with GP total = 423; MS total = 226. Within Cross Tabulation for Survey Data, if its categories, score direction or sample differ, the caption is withheld until the asset and analysis ledger are reconciled.

Cross Tabulation for Survey Data: Verified crosstab summary — Verified crosstab summary
The closing Verified crosstab summary panel consolidates the worked result for school-by-gender count and percentage table. It is accepted only when the displayed category composition, grand total = 649, and the independent Python, R, SPSS and Excel outputs agree. The summary does not widen the estimand beyond how school and gender categories are distributed jointly before any inferential claim is made.

Cross Tabulation for Survey Data in Python

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

Cross Tabulation for Survey Data in Python starts from the original semicolon-delimited file and creates a dedicated object for school-by-gender count and percentage table. It does not reuse a filtered object from another analysis. Assertions check the 649-row denominator, field ranges and the specific values needed for descriptive two-way tabulation.

Python

import pandas as pd

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

counts = pd.crosstab(df["school"], df["sex"])

row_pct = pd.crosstab(df["school"], df["sex"], normalize="index") * 100

col_pct = pd.crosstab(df["school"], df["sex"], normalize="columns") * 100

print(counts, row_pct.round(1), col_pct.round(1))

The expected Python interpretation is GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Within Cross Tabulation for Survey Data, printed values are retained at full precision before the article rounds them, and every chart label is checked against the same result object.

Cross Tabulation for Survey Data in R

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

The R section independently rebuilds school-by-gender count and percentage table. Character categories are converted only where the method requires factors or ordered responses, and the formula is checked against grand total = 649. Within Cross Tabulation for Survey 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=";")

tab <- table(d$school,d$sex)

print(tab); print(prop.table(tab,1)*100); print(prop.table(tab,2)*100)

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

Cross Tabulation for Survey 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 descriptive two-way tabulation. It does not substitute a different menu procedure under the Cross Tabulation for Survey Data heading. Pivot tables are checked against grand total = 649 and exported only after the active output document is saved.

SPSS syntax

CROSSTABS

/TABLES=school BY sex

/CELLS=COUNT ROW COLUMN TOTAL.

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

Cross Tabulation for Survey Data in Excel

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

Excel component	Required formula or action	Control
Cell count	`COUNTIFS(row variable,row label,column variable,column label)`	Reconcile with grand total = 649.
Row percent	`cell ÷ row total`	Reconcile with female total = 383.
Column percent	`cell ÷ column total`	Reconcile with male total = 266.
Total percent	`cell ÷ 649`	Reconcile with GP total = 423; MS total = 226.

The Excel chapter for Cross Tabulation for Survey Data is not a generic worksheet tutorial. It reconstructs school-by-gender count and percentage table and protects raw columns from formula overwrite. Within Cross Tabulation for Survey Data, any formula filled down must cover exactly the same 649 records used by the software reports.

Cross Tabulation for Survey Data diagnostics and error detection

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

Cell Counts

Cross Tabulation for Survey Data checks cell counts against grand total = 649. The cell counts check is tied to school (GP/MS) and gender (F/M) and is not copied from a different method. A failed check changes the result wording or triggers chi-square test.

Row Denominator

Cross Tabulation for Survey Data checks row denominator against female total = 383. The row denominator check is tied to school (GP/MS) and gender (F/M) and is not copied from a different method. A failed check changes the result wording or triggers frequency table.

Column Denominator

Cross Tabulation for Survey Data checks column denominator against male total = 266. The column denominator check is tied to school (GP/MS) and gender (F/M) and is not copied from a different method. A failed check changes the result wording or triggers mosaic plot.

Joint Distribution

Cross Tabulation for Survey Data checks joint distribution against GP total = 423; MS total = 226. The joint distribution check is tied to school (GP/MS) and gender (F/M) and is not copied from a different method. A failed check changes the result wording or triggers chi-square test.

Category Composition

Cross Tabulation for Survey Data checks category composition against grand total = 649. The category composition check is tied to school (GP/MS) and gender (F/M) and is not copied from a different method. A failed check changes the result wording or triggers frequency table.

Descriptive Table

Cross Tabulation for Survey Data checks descriptive table against female total = 383. The descriptive table check is tied to school (GP/MS) and gender (F/M) and is not copied from a different method. A failed check changes the result wording or triggers mosaic plot.

Cross Tabulation for Survey Data sensitivity analysis

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

Sensitivity to one record per student

The primary Cross Tabulation for Survey Data result is recalculated or reinterpreted after reviewing one record per student. The comparison tracks whether grand total = 649 changes enough to alter the substantive conclusion. Where sensitivity to one record per student answers a different estimand, it is labeled as chi-square test rather than presented as a duplicate confirmation.

Sensitivity to stable category labels

The primary Cross Tabulation for Survey Data result is recalculated or reinterpreted after reviewing stable category labels. The comparison tracks whether female total = 383 changes enough to alter the substantive conclusion. Where sensitivity to stable category labels answers a different estimand, it is labeled as frequency table rather than presented as a duplicate confirmation.

Sensitivity to correct denominator choice

The primary Cross Tabulation for Survey Data result is recalculated or reinterpreted after reviewing correct denominator choice. The comparison tracks whether male total = 266 changes enough to alter the substantive conclusion. Where sensitivity to correct denominator choice answers a different estimand, it is labeled as mosaic plot rather than presented as a duplicate confirmation.

Sensitivity to no percentage without counts

The primary Cross Tabulation for Survey Data result is recalculated or reinterpreted after reviewing no percentage without counts. The comparison tracks whether GP total = 423; MS total = 226 changes enough to alter the substantive conclusion. Where sensitivity to no percentage without counts answers a different estimand, it is labeled as chi-square test rather than presented as a duplicate confirmation.

Cross Tabulation for Survey Data compared with neighboring methods

Methods are separated by estimand, design and assumptions.

Method	Question it answers	Why it is not interchangeable here
Cross Tabulation for Survey Data	how school and gender categories are distributed jointly before any inferential claim is made	Uses descriptive two-way tabulation with school (GP/MS) and gender (F/M).
chi-square test	Against the Cross Tabulation for Survey Data estimand, chi-square test answers a neighboring question using a different statistic or data structure.	Use chi-square test only when its estimand and assumptions match the research design; it cannot be relabeled as Cross Tabulation for Survey Data.
frequency table	Against the Cross Tabulation for Survey Data estimand, frequency table answers a neighboring question using a different statistic or data structure.	Use frequency table only when its estimand and assumptions match the research design; it cannot be relabeled as Cross Tabulation for Survey Data.
mosaic plot	Against the Cross Tabulation for Survey Data estimand, mosaic plot answers a neighboring question using a different statistic or data structure.	Use mosaic plot only when its estimand and assumptions match the research design; it cannot be relabeled as Cross Tabulation for Survey Data.

How to report Cross Tabulation for Survey Data

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

Worked reporting paragraph

A descriptive two-way tabulation was conducted to examine how school and gender categories are distributed jointly before any inferential claim is made. For Cross Tabulation for Survey Data, the analysis used school (GP/MS) and gender (F/M) from 649 records. GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Interpretation was conditioned on one record per student, stable category labels and the diagnostic evidence shown in the assigned figures. Within Cross Tabulation for Survey Data, the finding is observational and is not presented as proof of causation or universal validity.

Concise release wording: Cross Tabulation for Survey Data produced GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS; the practical meaning remains tied to school-by-gender count and percentage table.

Independent content review for Cross Tabulation for Survey Data

Within Cross Tabulation for Survey Data, each review card is tied to this post’s variables, numerical checkpoints, assumptions, figures or legitimate alternatives.

Definition: cell counts in Cross Tabulation for Survey Data

During the definition review, in Cross Tabulation for Survey Data, cell counts is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the definition stage for cell counts, the diagnostic is anchored to female total = 383, not to an unrelated rule of thumb. The definition finding for cell counts—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when correct denominator choice remains defensible and the Row-percentage distribution figure tells the same numerical story as the table. A visible pattern involving cell counts is interpreted through joint distribution; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for cell counts reveals a changed population, coding direction, group order, or response scale, the cell counts calculation is rebuilt before reporting. During the definition review of cell counts, frequency table is considered only when its different estimand actually matches the revised research question.

Definition: row denominator

During the definition review, in this descriptive two-way tabulation analysis, row denominator is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the definition stage for row denominator, the diagnostic is anchored to grand total = 649, not to an unrelated rule of thumb. The definition finding for row denominator—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when no percentage without counts remains defensible and the Primary crosstab metrics figure tells the same numerical story as the table. A visible pattern involving row denominator is interpreted through category composition; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for row denominator reveals a changed population, coding direction, group order, or response scale, the row denominator calculation is rebuilt before reporting. During the definition review of row denominator, chi-square test is considered only when its different estimand actually matches the revised research question.

Definition: column denominator

During the definition review, in Cross Tabulation for Survey Data, column denominator is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the definition stage for column denominator, the diagnostic is anchored to GP total = 423; MS total = 226, not to an unrelated rule of thumb. The definition finding for column denominator—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when one record per student remains defensible and the Column-percentage composition figure tells the same numerical story as the table. A visible pattern involving column denominator is interpreted through descriptive table; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for column denominator reveals a changed population, coding direction, group order, or response scale, the column denominator calculation is rebuilt before reporting. During the definition review of column denominator, mosaic plot is considered only when its different estimand actually matches the revised research question.

Definition: joint distribution in Cross Tabulation for Survey Data

During the definition review, in this descriptive two-way tabulation analysis, joint distribution is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the definition stage for joint distribution, the diagnostic is anchored to male total = 266, not to an unrelated rule of thumb. The definition finding for joint distribution—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when stable category labels remains defensible and the Cell-count table figure tells the same numerical story as the table. A visible pattern involving joint distribution is interpreted through cell counts; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for joint distribution reveals a changed population, coding direction, group order, or response scale, the joint distribution calculation is rebuilt before reporting. During the definition review of joint distribution, frequency table is considered only when its different estimand actually matches the revised research question.

Definition: category composition

During the definition review, in Cross Tabulation for Survey Data, category composition is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the definition stage for category composition, the diagnostic is anchored to female total = 383, not to an unrelated rule of thumb. The definition finding for category composition—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when correct denominator choice remains defensible and the Verified crosstab summary figure tells the same numerical story as the table. A visible pattern involving category composition is interpreted through row denominator; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for category composition reveals a changed population, coding direction, group order, or response scale, the category composition calculation is rebuilt before reporting. During the definition review of category composition, chi-square test is considered only when its different estimand actually matches the revised research question.

Definition: descriptive table

During the definition review, in this descriptive two-way tabulation analysis, descriptive table is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the definition stage for descriptive table, the diagnostic is anchored to grand total = 649, not to an unrelated rule of thumb. The definition finding for descriptive table—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when no percentage without counts remains defensible and the Row-percentage distribution figure tells the same numerical story as the table. A visible pattern involving descriptive table is interpreted through column denominator; the definition reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the definition stage for descriptive table reveals a changed population, coding direction, group order, or response scale, the descriptive table calculation is rebuilt before reporting. During the definition review of descriptive table, mosaic plot is considered only when its different estimand actually matches the revised research question.

Definition: one record per student in Cross Tabulation for Survey Data

During definition review, the one record per student condition has a concrete role in Cross Tabulation for Survey Data. At its definition stage, one record per student determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the definition stage for one record per student, the check uses school (GP/MS) and gender (F/M) and is reconciled with GP total = 423; MS total = 226. When one record per student is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Primary crosstab metrics display is examined for the observable consequence of failing one record per student, while joint distribution is reviewed in the original response units. In the definition assessment of one record per student, the article either narrows the claim, applies a justified sensitivity calculation, or moves to frequency table. This is why one record per student appears beside the definition result rather than as a detached checklist item.

Definition: stable category labels

During definition review, the stable category labels condition has a concrete role in this descriptive two-way tabulation analysis. At its definition stage, stable category labels determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the definition stage for stable category labels, the check uses school (GP/MS) and gender (F/M) and is reconciled with male total = 266. When stable category labels is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Column-percentage composition display is examined for the observable consequence of failing stable category labels, while category composition is reviewed in the original response units. In the definition assessment of stable category labels, the article either narrows the claim, applies a justified sensitivity calculation, or moves to chi-square test. This is why stable category labels appears beside the definition result rather than as a detached checklist item.

Definition: correct denominator choice

During definition review, the correct denominator choice condition has a concrete role in Cross Tabulation for Survey Data. At its definition stage, correct denominator choice determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the definition stage for correct denominator choice, the check uses school (GP/MS) and gender (F/M) and is reconciled with female total = 383. When correct denominator choice is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Cell-count table display is examined for the observable consequence of failing correct denominator choice, while descriptive table is reviewed in the original response units. In the definition assessment of correct denominator choice, the article either narrows the claim, applies a justified sensitivity calculation, or moves to mosaic plot. This is why correct denominator choice appears beside the definition result rather than as a detached checklist item.

Definition: no percentage without counts in Cross Tabulation for Survey Data

During definition review, the no percentage without counts condition has a concrete role in this descriptive two-way tabulation analysis. At its definition stage, no percentage without counts determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the definition stage for no percentage without counts, the check uses school (GP/MS) and gender (F/M) and is reconciled with grand total = 649. When no percentage without counts is doubtful during definition review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Verified crosstab summary display is examined for the observable consequence of failing no percentage without counts, while cell counts is reviewed in the original response units. In the definition assessment of no percentage without counts, the article either narrows the claim, applies a justified sensitivity calculation, or moves to frequency table. This is why no percentage without counts appears beside the definition result rather than as a detached checklist item.

Definition: grand total = 649

For definition review, the numerical checkpoint grand total = 649 is reconstructed in Cross Tabulation for Survey Data from school (GP/MS) and gender (F/M). At the definition stage for grand total = 649, grand total = 649 must agree with the displayed formula, the software objects, the Excel cells, and the Row-percentage distribution graphic after rounding. The definition meaning of grand total = 649 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of grand total = 649 also depends on one record per student. During definition review, grand total = 649 is read with row denominator and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the definition reconstruction of grand total = 649 is investigated at full precision rather than concealed by formatting, and chi-square test is not used to force agreement because it answers a different question.

Definition: female total = 383

For definition review, the numerical checkpoint female total = 383 is reconstructed in this descriptive two-way tabulation analysis from school (GP/MS) and gender (F/M). At the definition stage for female total = 383, female total = 383 must agree with the displayed formula, the software objects, the Excel cells, and the Primary crosstab metrics graphic after rounding. The definition meaning of female total = 383 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of female total = 383 also depends on stable category labels. During definition review, female total = 383 is read with column denominator and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the definition reconstruction of female total = 383 is investigated at full precision rather than concealed by formatting, and mosaic plot is not used to force agreement because it answers a different question.

Definition: male total = 266 in Cross Tabulation for Survey Data

For definition review, the numerical checkpoint male total = 266 is reconstructed in Cross Tabulation for Survey Data from school (GP/MS) and gender (F/M). At the definition stage for male total = 266, male total = 266 must agree with the displayed formula, the software objects, the Excel cells, and the Column-percentage composition graphic after rounding. The definition meaning of male total = 266 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of male total = 266 also depends on correct denominator choice. During definition review, male total = 266 is read with joint distribution and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the definition reconstruction of male total = 266 is investigated at full precision rather than concealed by formatting, and frequency table is not used to force agreement because it answers a different question.

Definition: GP total = 423; MS total = 226

For definition review, the numerical checkpoint GP total = 423; MS total = 226 is reconstructed in this descriptive two-way tabulation analysis from school (GP/MS) and gender (F/M). At the definition stage for GP total = 423; MS total = 226, GP total = 423; MS total = 226 must agree with the displayed formula, the software objects, the Excel cells, and the Cell-count table graphic after rounding. The definition meaning of GP total = 423; MS total = 226 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of GP total = 423; MS total = 226 also depends on no percentage without counts. During definition review, GP total = 423; MS total = 226 is read with category composition and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the definition reconstruction of GP total = 423; MS total = 226 is investigated at full precision rather than concealed by formatting, and chi-square test is not used to force agreement because it answers a different question.

Definition: chi-square test

During definition review, chi-square test is a legitimate neighboring method, but at that stage it is not another name for Cross Tabulation for Survey Data. The definition comparison with chi-square test starts from how school and gender categories are distributed jointly before any inferential claim is made and the outcome school-by-gender count and percentage table from school (GP/MS) and gender (F/M). At the definition stage, choosing chi-square test would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The definition decision boundary for chi-square test is made explicit through GP total = 423; MS total = 226, one record per student, and the Verified crosstab summary figure. When the definition evidence for chi-square test supports the declared descriptive two-way tabulation rather than chi-square test, the result remains GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. When the same definition evidence instead supports chi-square test, the alternative is reported under its own name with its own formula and interpretation. In the definition comparison with chi-square test, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Definition: frequency table in Cross Tabulation for Survey Data

During definition review, frequency table is a legitimate neighboring method, but at that stage it is not another name for this descriptive two-way tabulation analysis. The definition comparison with frequency table starts from how school and gender categories are distributed jointly before any inferential claim is made and the outcome school-by-gender count and percentage table from school (GP/MS) and gender (F/M). At the definition stage, choosing frequency table would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The definition decision boundary for frequency table is made explicit through male total = 266, stable category labels, and the Row-percentage distribution figure. When the definition evidence for frequency table supports the declared descriptive two-way tabulation rather than frequency table, the result remains GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. When the same definition evidence instead supports frequency table, the alternative is reported under its own name with its own formula and interpretation. In the definition comparison with frequency table, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Definition: mosaic plot

During definition review, mosaic plot is a legitimate neighboring method, but at that stage it is not another name for Cross Tabulation for Survey Data. The definition comparison with mosaic plot starts from how school and gender categories are distributed jointly before any inferential claim is made and the outcome school-by-gender count and percentage table from school (GP/MS) and gender (F/M). At the definition stage, choosing mosaic plot would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The definition decision boundary for mosaic plot is made explicit through female total = 383, correct denominator choice, and the Primary crosstab metrics figure. When the definition evidence for mosaic plot supports the declared descriptive two-way tabulation rather than mosaic plot, the result remains GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. When the same definition evidence instead supports mosaic plot, the alternative is reported under its own name with its own formula and interpretation. In the definition comparison with mosaic plot, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Definition: Primary crosstab metrics

During definition review, the Primary crosstab metrics figure is interpreted as part of this descriptive two-way tabulation analysis, not as decorative output. At the definition stage for Primary crosstab metrics, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint grand total = 649. The definition reading of Primary crosstab metrics is used to clarify column denominator for the defined outcome school-by-gender count and percentage table. The Primary crosstab metrics plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Primary crosstab metrics and no percentage without counts is examined before the visual pattern is described. The definition caption for Primary crosstab metrics states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the definition review of Primary crosstab metrics instead represents the target of mosaic plot, that figure belongs in the separate mosaic plot analysis rather than this post.

Definition: Cell-count table in Cross Tabulation for Survey Data

During definition review, the Cell-count table figure is interpreted as part of Cross Tabulation for Survey Data, not as decorative output. At the definition stage for Cell-count table, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint GP total = 423; MS total = 226. The definition reading of Cell-count table is used to clarify joint distribution for the defined outcome school-by-gender count and percentage table. The Cell-count table plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Cell-count table and one record per student is examined before the visual pattern is described. The definition caption for Cell-count table states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the definition review of Cell-count table instead represents the target of frequency table, that figure belongs in the separate frequency table analysis rather than this post.

Definition: Row-percentage distribution

During definition review, the Row-percentage distribution figure is interpreted as part of this descriptive two-way tabulation analysis, not as decorative output. At the definition stage for Row-percentage distribution, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint male total = 266. The definition reading of Row-percentage distribution is used to clarify category composition for the defined outcome school-by-gender count and percentage table. The Row-percentage distribution plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Row-percentage distribution and stable category labels is examined before the visual pattern is described. The definition caption for Row-percentage distribution states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the definition review of Row-percentage distribution instead represents the target of chi-square test, that figure belongs in the separate chi-square test analysis rather than this post.

Definition: Column-percentage composition

During definition review, the Column-percentage composition figure is interpreted as part of Cross Tabulation for Survey Data, not as decorative output. At the definition stage for Column-percentage composition, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint female total = 383. The definition reading of Column-percentage composition is used to clarify descriptive table for the defined outcome school-by-gender count and percentage table. The Column-percentage composition plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Column-percentage composition and correct denominator choice is examined before the visual pattern is described. The definition caption for Column-percentage composition states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the definition review of Column-percentage composition instead represents the target of mosaic plot, that figure belongs in the separate mosaic plot analysis rather than this post.

Definition: Verified crosstab summary in Cross Tabulation for Survey Data

During definition review, the Verified crosstab summary figure is interpreted as part of this descriptive two-way tabulation analysis, not as decorative output. At the definition stage for Verified crosstab summary, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint grand total = 649. The definition reading of Verified crosstab summary is used to clarify cell counts for the defined outcome school-by-gender count and percentage table. The Verified crosstab summary plot cannot replace the underlying table or formula, and its definition caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Verified crosstab summary and no percentage without counts is examined before the visual pattern is described. The definition caption for Verified crosstab summary states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the definition review of Verified crosstab summary instead represents the target of frequency table, that figure belongs in the separate frequency table analysis rather than this post.

Calculation: cell counts

During the calculation review, in Cross Tabulation for Survey Data, cell counts is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the calculation stage for cell counts, the diagnostic is anchored to GP total = 423; MS total = 226, not to an unrelated rule of thumb. The calculation finding for cell counts—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when one record per student remains defensible and the Column-percentage composition figure tells the same numerical story as the table. A visible pattern involving cell counts is interpreted through row denominator; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for cell counts reveals a changed population, coding direction, group order, or response scale, the cell counts calculation is rebuilt before reporting. During the calculation review of cell counts, chi-square test is considered only when its different estimand actually matches the revised research question.

Calculation: row denominator

During the calculation review, in this descriptive two-way tabulation analysis, row denominator is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the calculation stage for row denominator, the diagnostic is anchored to male total = 266, not to an unrelated rule of thumb. The calculation finding for row denominator—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when stable category labels remains defensible and the Cell-count table figure tells the same numerical story as the table. A visible pattern involving row denominator is interpreted through column denominator; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for row denominator reveals a changed population, coding direction, group order, or response scale, the row denominator calculation is rebuilt before reporting. During the calculation review of row denominator, mosaic plot is considered only when its different estimand actually matches the revised research question.

Calculation: column denominator in Cross Tabulation for Survey Data

During the calculation review, in Cross Tabulation for Survey Data, column denominator is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the calculation stage for column denominator, the diagnostic is anchored to female total = 383, not to an unrelated rule of thumb. The calculation finding for column denominator—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when correct denominator choice remains defensible and the Verified crosstab summary figure tells the same numerical story as the table. A visible pattern involving column denominator is interpreted through joint distribution; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for column denominator reveals a changed population, coding direction, group order, or response scale, the column denominator calculation is rebuilt before reporting. During the calculation review of column denominator, frequency table is considered only when its different estimand actually matches the revised research question.

Calculation: joint distribution

During the calculation review, in this descriptive two-way tabulation analysis, joint distribution is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the calculation stage for joint distribution, the diagnostic is anchored to grand total = 649, not to an unrelated rule of thumb. The calculation finding for joint distribution—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when no percentage without counts remains defensible and the Row-percentage distribution figure tells the same numerical story as the table. A visible pattern involving joint distribution is interpreted through category composition; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for joint distribution reveals a changed population, coding direction, group order, or response scale, the joint distribution calculation is rebuilt before reporting. During the calculation review of joint distribution, chi-square test is considered only when its different estimand actually matches the revised research question.

Calculation: category composition

During the calculation review, in Cross Tabulation for Survey Data, category composition is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the calculation stage for category composition, the diagnostic is anchored to GP total = 423; MS total = 226, not to an unrelated rule of thumb. The calculation finding for category composition—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when one record per student remains defensible and the Primary crosstab metrics figure tells the same numerical story as the table. A visible pattern involving category composition is interpreted through descriptive table; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for category composition reveals a changed population, coding direction, group order, or response scale, the category composition calculation is rebuilt before reporting. During the calculation review of category composition, mosaic plot is considered only when its different estimand actually matches the revised research question.

Calculation: descriptive table in Cross Tabulation for Survey Data

During the calculation review, in this descriptive two-way tabulation analysis, descriptive table is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the calculation stage for descriptive table, the diagnostic is anchored to male total = 266, not to an unrelated rule of thumb. The calculation finding for descriptive table—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when stable category labels remains defensible and the Column-percentage composition figure tells the same numerical story as the table. A visible pattern involving descriptive table is interpreted through cell counts; the calculation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the calculation stage for descriptive table reveals a changed population, coding direction, group order, or response scale, the descriptive table calculation is rebuilt before reporting. During the calculation review of descriptive table, frequency table is considered only when its different estimand actually matches the revised research question.

Calculation: one record per student

During calculation review, the one record per student condition has a concrete role in Cross Tabulation for Survey Data. At its calculation stage, one record per student determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the calculation stage for one record per student, the check uses school (GP/MS) and gender (F/M) and is reconciled with female total = 383. When one record per student is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Cell-count table display is examined for the observable consequence of failing one record per student, while row denominator is reviewed in the original response units. In the calculation assessment of one record per student, the article either narrows the claim, applies a justified sensitivity calculation, or moves to chi-square test. This is why one record per student appears beside the calculation result rather than as a detached checklist item.

Calculation: stable category labels

During calculation review, the stable category labels condition has a concrete role in this descriptive two-way tabulation analysis. At its calculation stage, stable category labels determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the calculation stage for stable category labels, the check uses school (GP/MS) and gender (F/M) and is reconciled with grand total = 649. When stable category labels is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Verified crosstab summary display is examined for the observable consequence of failing stable category labels, while column denominator is reviewed in the original response units. In the calculation assessment of stable category labels, the article either narrows the claim, applies a justified sensitivity calculation, or moves to mosaic plot. This is why stable category labels appears beside the calculation result rather than as a detached checklist item.

Calculation: correct denominator choice in Cross Tabulation for Survey Data

During calculation review, the correct denominator choice condition has a concrete role in Cross Tabulation for Survey Data. At its calculation stage, correct denominator choice determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the calculation stage for correct denominator choice, the check uses school (GP/MS) and gender (F/M) and is reconciled with GP total = 423; MS total = 226. When correct denominator choice is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Row-percentage distribution display is examined for the observable consequence of failing correct denominator choice, while joint distribution is reviewed in the original response units. In the calculation assessment of correct denominator choice, the article either narrows the claim, applies a justified sensitivity calculation, or moves to frequency table. This is why correct denominator choice appears beside the calculation result rather than as a detached checklist item.

Calculation: no percentage without counts

During calculation review, the no percentage without counts condition has a concrete role in this descriptive two-way tabulation analysis. At its calculation stage, no percentage without counts determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the calculation stage for no percentage without counts, the check uses school (GP/MS) and gender (F/M) and is reconciled with male total = 266. When no percentage without counts is doubtful during calculation review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Primary crosstab metrics display is examined for the observable consequence of failing no percentage without counts, while category composition is reviewed in the original response units. In the calculation assessment of no percentage without counts, the article either narrows the claim, applies a justified sensitivity calculation, or moves to chi-square test. This is why no percentage without counts appears beside the calculation result rather than as a detached checklist item.

Calculation: grand total = 649

For calculation review, the numerical checkpoint grand total = 649 is reconstructed in Cross Tabulation for Survey Data from school (GP/MS) and gender (F/M). At the calculation stage for grand total = 649, grand total = 649 must agree with the displayed formula, the software objects, the Excel cells, and the Column-percentage composition graphic after rounding. The calculation meaning of grand total = 649 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of grand total = 649 also depends on correct denominator choice. During calculation review, grand total = 649 is read with descriptive table and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the calculation reconstruction of grand total = 649 is investigated at full precision rather than concealed by formatting, and mosaic plot is not used to force agreement because it answers a different question.

Calculation: female total = 383 in Cross Tabulation for Survey Data

For calculation review, the numerical checkpoint female total = 383 is reconstructed in this descriptive two-way tabulation analysis from school (GP/MS) and gender (F/M). At the calculation stage for female total = 383, female total = 383 must agree with the displayed formula, the software objects, the Excel cells, and the Cell-count table graphic after rounding. The calculation meaning of female total = 383 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of female total = 383 also depends on no percentage without counts. During calculation review, female total = 383 is read with cell counts and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the calculation reconstruction of female total = 383 is investigated at full precision rather than concealed by formatting, and frequency table is not used to force agreement because it answers a different question.

Calculation: male total = 266

For calculation review, the numerical checkpoint male total = 266 is reconstructed in Cross Tabulation for Survey Data from school (GP/MS) and gender (F/M). At the calculation stage for male total = 266, male total = 266 must agree with the displayed formula, the software objects, the Excel cells, and the Verified crosstab summary graphic after rounding. The calculation meaning of male total = 266 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of male total = 266 also depends on one record per student. During calculation review, male total = 266 is read with row denominator and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the calculation reconstruction of male total = 266 is investigated at full precision rather than concealed by formatting, and chi-square test is not used to force agreement because it answers a different question.

Calculation: GP total = 423; MS total = 226

For calculation review, the numerical checkpoint GP total = 423; MS total = 226 is reconstructed in this descriptive two-way tabulation analysis from school (GP/MS) and gender (F/M). At the calculation stage for GP total = 423; MS total = 226, GP total = 423; MS total = 226 must agree with the displayed formula, the software objects, the Excel cells, and the Row-percentage distribution graphic after rounding. The calculation meaning of GP total = 423; MS total = 226 is limited to school-by-gender count and percentage table; the same number would not have the same meaning under a different grouping variable, scoring key, missing-data rule, or reference category. Interpretation of GP total = 423; MS total = 226 also depends on stable category labels. During calculation review, GP total = 423; MS total = 226 is read with column denominator and with the complete finding, GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. Any discrepancy in the calculation reconstruction of GP total = 423; MS total = 226 is investigated at full precision rather than concealed by formatting, and mosaic plot is not used to force agreement because it answers a different question.

Calculation: chi-square test in Cross Tabulation for Survey Data

During calculation review, chi-square test is a legitimate neighboring method, but at that stage it is not another name for Cross Tabulation for Survey Data. The calculation comparison with chi-square test starts from how school and gender categories are distributed jointly before any inferential claim is made and the outcome school-by-gender count and percentage table from school (GP/MS) and gender (F/M). At the calculation stage, choosing chi-square test would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The calculation decision boundary for chi-square test is made explicit through female total = 383, correct denominator choice, and the Primary crosstab metrics figure. When the calculation evidence for chi-square test supports the declared descriptive two-way tabulation rather than chi-square test, the result remains GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. When the same calculation evidence instead supports chi-square test, the alternative is reported under its own name with its own formula and interpretation. In the calculation comparison with chi-square test, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Calculation: frequency table

During calculation review, frequency table is a legitimate neighboring method, but at that stage it is not another name for this descriptive two-way tabulation analysis. The calculation comparison with frequency table starts from how school and gender categories are distributed jointly before any inferential claim is made and the outcome school-by-gender count and percentage table from school (GP/MS) and gender (F/M). At the calculation stage, choosing frequency table would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The calculation decision boundary for frequency table is made explicit through grand total = 649, no percentage without counts, and the Column-percentage composition figure. When the calculation evidence for frequency table supports the declared descriptive two-way tabulation rather than frequency table, the result remains GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. When the same calculation evidence instead supports frequency table, the alternative is reported under its own name with its own formula and interpretation. In the calculation comparison with frequency table, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Calculation: mosaic plot

During calculation review, mosaic plot is a legitimate neighboring method, but at that stage it is not another name for Cross Tabulation for Survey Data. The calculation comparison with mosaic plot starts from how school and gender categories are distributed jointly before any inferential claim is made and the outcome school-by-gender count and percentage table from school (GP/MS) and gender (F/M). At the calculation stage, choosing mosaic plot would alter at least one of the estimand, response scale, group structure, model assumptions, or reported effect. The calculation decision boundary for mosaic plot is made explicit through GP total = 423; MS total = 226, one record per student, and the Cell-count table figure. When the calculation evidence for mosaic plot supports the declared descriptive two-way tabulation rather than mosaic plot, the result remains GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. When the same calculation evidence instead supports mosaic plot, the alternative is reported under its own name with its own formula and interpretation. In the calculation comparison with mosaic plot, this separation prevents a method label from being selected merely because it produces a preferred probability value.

Calculation: Primary crosstab metrics in Cross Tabulation for Survey Data

During calculation review, the Primary crosstab metrics figure is interpreted as part of this descriptive two-way tabulation analysis, not as decorative output. At the calculation stage for Primary crosstab metrics, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint male total = 266. The calculation reading of Primary crosstab metrics is used to clarify cell counts for the defined outcome school-by-gender count and percentage table. The Primary crosstab metrics plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Primary crosstab metrics and stable category labels is examined before the visual pattern is described. The calculation caption for Primary crosstab metrics states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the calculation review of Primary crosstab metrics instead represents the target of frequency table, that figure belongs in the separate frequency table analysis rather than this post.

Calculation: Cell-count table

During calculation review, the Cell-count table figure is interpreted as part of Cross Tabulation for Survey Data, not as decorative output. At the calculation stage for Cell-count table, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint female total = 383. The calculation reading of Cell-count table is used to clarify row denominator for the defined outcome school-by-gender count and percentage table. The Cell-count table plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Cell-count table and correct denominator choice is examined before the visual pattern is described. The calculation caption for Cell-count table states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the calculation review of Cell-count table instead represents the target of chi-square test, that figure belongs in the separate chi-square test analysis rather than this post.

Calculation: Row-percentage distribution

During calculation review, the Row-percentage distribution figure is interpreted as part of this descriptive two-way tabulation analysis, not as decorative output. At the calculation stage for Row-percentage distribution, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint grand total = 649. The calculation reading of Row-percentage distribution is used to clarify column denominator for the defined outcome school-by-gender count and percentage table. The Row-percentage distribution plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Row-percentage distribution and no percentage without counts is examined before the visual pattern is described. The calculation caption for Row-percentage distribution states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the calculation review of Row-percentage distribution instead represents the target of mosaic plot, that figure belongs in the separate mosaic plot analysis rather than this post.

Calculation: Column-percentage composition in Cross Tabulation for Survey Data

During calculation review, the Column-percentage composition figure is interpreted as part of Cross Tabulation for Survey Data, not as decorative output. At the calculation stage for Column-percentage composition, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint GP total = 423; MS total = 226. The calculation reading of Column-percentage composition is used to clarify joint distribution for the defined outcome school-by-gender count and percentage table. The Column-percentage composition plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Column-percentage composition and one record per student is examined before the visual pattern is described. The calculation caption for Column-percentage composition states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the calculation review of Column-percentage composition instead represents the target of frequency table, that figure belongs in the separate frequency table analysis rather than this post.

Calculation: Verified crosstab summary

During calculation review, the Verified crosstab summary figure is interpreted as part of this descriptive two-way tabulation analysis, not as decorative output. At the calculation stage for Verified crosstab summary, its axes, categories, item direction, sample size, and annotations must match school (GP/MS) and gender (F/M) and the checkpoint male total = 266. The calculation reading of Verified crosstab summary is used to clarify category composition for the defined outcome school-by-gender count and percentage table. The Verified crosstab summary plot cannot replace the underlying table or formula, and its calculation caption cannot broaden the conclusion beyond how school and gender categories are distributed jointly before any inferential claim is made. Agreement between Verified crosstab summary and stable category labels is examined before the visual pattern is described. The calculation caption for Verified crosstab summary states what the plot shows, what it does not establish, and how it relates to the verified finding GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS. If the calculation review of Verified crosstab summary instead represents the target of chi-square test, that figure belongs in the separate chi-square test analysis rather than this post.

Interpretation: cell counts

During the interpretation review, in Cross Tabulation for Survey Data, cell counts is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the interpretation stage for cell counts, the diagnostic is anchored to female total = 383, not to an unrelated rule of thumb. The interpretation finding for cell counts—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when correct denominator choice remains defensible and the Verified crosstab summary figure tells the same numerical story as the table. A visible pattern involving cell counts is interpreted through descriptive table; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for cell counts reveals a changed population, coding direction, group order, or response scale, the cell counts calculation is rebuilt before reporting. During the interpretation review of cell counts, mosaic plot is considered only when its different estimand actually matches the revised research question.

Interpretation: row denominator in Cross Tabulation for Survey Data

During the interpretation review, in this descriptive two-way tabulation analysis, row denominator is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the interpretation stage for row denominator, the diagnostic is anchored to grand total = 649, not to an unrelated rule of thumb. The interpretation finding for row denominator—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when no percentage without counts remains defensible and the Row-percentage distribution figure tells the same numerical story as the table. A visible pattern involving row denominator is interpreted through cell counts; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for row denominator reveals a changed population, coding direction, group order, or response scale, the row denominator calculation is rebuilt before reporting. During the interpretation review of row denominator, frequency table is considered only when its different estimand actually matches the revised research question.

Interpretation: column denominator

During the interpretation review, in Cross Tabulation for Survey Data, column denominator is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the interpretation stage for column denominator, the diagnostic is anchored to GP total = 423; MS total = 226, not to an unrelated rule of thumb. The interpretation finding for column denominator—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when one record per student remains defensible and the Primary crosstab metrics figure tells the same numerical story as the table. A visible pattern involving column denominator is interpreted through row denominator; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for column denominator reveals a changed population, coding direction, group order, or response scale, the column denominator calculation is rebuilt before reporting. During the interpretation review of column denominator, chi-square test is considered only when its different estimand actually matches the revised research question.

Interpretation: joint distribution

During the interpretation review, in this descriptive two-way tabulation analysis, joint distribution is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the interpretation stage for joint distribution, the diagnostic is anchored to male total = 266, not to an unrelated rule of thumb. The interpretation finding for joint distribution—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when stable category labels remains defensible and the Column-percentage composition figure tells the same numerical story as the table. A visible pattern involving joint distribution is interpreted through column denominator; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for joint distribution reveals a changed population, coding direction, group order, or response scale, the joint distribution calculation is rebuilt before reporting. During the interpretation review of joint distribution, mosaic plot is considered only when its different estimand actually matches the revised research question.

Interpretation: category composition in Cross Tabulation for Survey Data

During the interpretation review, in Cross Tabulation for Survey Data, category composition is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the interpretation stage for category composition, the diagnostic is anchored to female total = 383, not to an unrelated rule of thumb. The interpretation finding for category composition—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when correct denominator choice remains defensible and the Cell-count table figure tells the same numerical story as the table. A visible pattern involving category composition is interpreted through joint distribution; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for category composition reveals a changed population, coding direction, group order, or response scale, the category composition calculation is rebuilt before reporting. During the interpretation review of category composition, frequency table is considered only when its different estimand actually matches the revised research question.

Interpretation: descriptive table

During the interpretation review, in this descriptive two-way tabulation analysis, descriptive table is evaluated within the exact target school-by-gender count and percentage table, using school (GP/MS) and gender (F/M). At the interpretation stage for descriptive table, the diagnostic is anchored to grand total = 649, not to an unrelated rule of thumb. The interpretation finding for descriptive table—GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS—is retained only when no percentage without counts remains defensible and the Verified crosstab summary figure tells the same numerical story as the table. A visible pattern involving descriptive table is interpreted through category composition; the interpretation reading is not treated as automatic evidence for causation, validity, or a different outcome. If at the interpretation stage for descriptive table reveals a changed population, coding direction, group order, or response scale, the descriptive table calculation is rebuilt before reporting. During the interpretation review of descriptive table, chi-square test is considered only when its different estimand actually matches the revised research question.

Interpretation: one record per student

During interpretation review, the one record per student condition has a concrete role in Cross Tabulation for Survey Data. At its interpretation stage, one record per student determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the interpretation stage for one record per student, the check uses school (GP/MS) and gender (F/M) and is reconciled with GP total = 423; MS total = 226. When one record per student is doubtful during interpretation review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Row-percentage distribution display is examined for the observable consequence of failing one record per student, while descriptive table is reviewed in the original response units. In the interpretation assessment of one record per student, the article either narrows the claim, applies a justified sensitivity calculation, or moves to mosaic plot. This is why one record per student appears beside the interpretation result rather than as a detached checklist item.

Interpretation: stable category labels in Cross Tabulation for Survey Data

During interpretation review, the stable category labels condition has a concrete role in this descriptive two-way tabulation analysis. At its interpretation stage, stable category labels determines whether descriptive two-way tabulation can answer how school and gender categories are distributed jointly before any inferential claim is made. At the interpretation stage for stable category labels, the check uses school (GP/MS) and gender (F/M) and is reconciled with male total = 266. When stable category labels is doubtful during interpretation review, software output may still appear complete, but the result cannot automatically retain the interpretation school-by-gender count and percentage table. The Primary crosstab metrics display is examined for the observable consequence of failing stable category labels, while cell counts is reviewed in the original response units. In the interpretation assessment of stable category labels, the article either narrows the claim, applies a justified sensitivity calculation, or moves to frequency table. This is why stable category labels appears beside the interpretation result rather than as a detached checklist item.

Cross Tabulation for Survey Data downloads

Only files assigned to this workbook row are linked.

Python reportDescriptive two-way tabulation output for school-by-gender count and percentage table, including the numerical checkpoints and diagnostics discussed above.Open file

R reportDescriptive two-way tabulation output for school-by-gender count and percentage table, including the numerical checkpoints and diagnostics discussed above.Open file

SPSS outputDescriptive two-way tabulation output for school-by-gender count and percentage table, including the numerical checkpoints and diagnostics discussed above.Open file

Worked Excel analysisDescriptive two-way tabulation output for school-by-gender count and percentage table, including the numerical checkpoints and diagnostics discussed above.Open file

Cross Tabulation for Survey Data FAQs

Answers stay within the worked variables and result.

What question does Cross Tabulation for Survey Data answer?

It asks how school and gender categories are distributed jointly before any inferential claim is made and limits the answer to school-by-gender count and percentage table.

Which fields are used in Cross Tabulation for Survey Data?

Within Cross Tabulation for Survey Data, the worked analysis uses school (GP/MS) and gender (F/M); changing that ledger creates a different analysis.

What is the main worked result?

The reported result is GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS.

Which condition is most important?

One record per student is checked first, followed by stable category labels, correct denominator choice and no percentage without counts.

How should grand total = 649 be interpreted?

It is read in the units and category order of school-by-gender count and percentage table and reconciled with the remaining numerical checkpoints.

What does the first diagnostic figure contribute?

Primary crosstab metrics establishes the headline numerical context; the remaining figures examine row denominator, column denominator and the final result.

When would chi-square test be preferable?

It is preferable only when its estimand and assumptions match the revised research question more closely than descriptive two-way tabulation.

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 female total = 383 is calculated.

Can the result be interpreted causally?

No. The worked dataset is observational; Cross Tabulation for Survey 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 school (GP/MS) and gender (F/M), identify descriptive two-way tabulation, report GP contains 237 F and 186 M; MS contains 146 F and 80 M; row percentages are 56.0%/44.0% for GP and 64.6%/35.4% for MS, describe the relevant diagnostics, and state the limitation created by one record per student.