Brown-Forsythe Test R Results

Dataset path:
D:/low kda score priority basis posts/first post/Brown-Forsythe Test/student-por.csv 

Output folder:
D:/low kda score priority basis posts/first post/Brown-Forsythe Test/brown_forsythe_R_outputs 

Main result:
                                         test outcome group_variable statistic df1 df2   p_value
1 Brown-Forsythe homogeneity-of-variance test      G3      studytime  1.026312   3 645 0.3803575
                  decision_0_05
1 Do not reject equal variances


ANOVA table on absolute deviations from group medians:
             Df Sum Sq Mean Sq F value Pr(>F)
studytime     3   14.1   4.686   1.026   0.38
Residuals   645 2944.7   4.565               


Group summary:
         studytime G3.n  G3.mean G3.median    G3.sd G3.variance G3.min G3.max
1      1: <2 hours  212 10.84434        11 3.218624   10.359541      0     18
2  2: 2 to 5 hours  305 12.09180        12 3.243125   10.517860      0     19
3 3: 5 to 10 hours   97 13.22680        13 2.502104    6.260524      8     18
4     4: >10 hours   35 13.05714        13 3.038410    9.231933      6     19


P-value comparison:
                   test statistic    p_value
1 Brown-Forsythe median 1.0263121 0.38035752
2           Levene mean 0.9845269 0.39953648
3              Bartlett 9.4626870 0.02373164
4       Fligner-Killeen 3.9943394 0.26207602


Report sentence:
A Brown-Forsythe homogeneity-of-variance test was conducted to compare the variance of G3 final grades across studytime groups. The result was F(3, 645) = 1.0263, p = 0.3804. Because p >= 0.05, the analysis did not find strong evidence that G3 variance differs across studytime groups. 
