Two Way ANOVA
Use the Excel display, which results from the scores listed in the accompanying table. The sample data are SAT scores on the verbal and math portions of SAT-I and are based on reported statistics from the College Board. The “Columns” variable is SAT (verbal/math) and the “Sample” variable is gender.
|
Verbal |
||||||||||
|
Female |
646 |
539 |
348 |
623 |
478 |
429 |
298 |
782 |
626 |
533 |
|
Male |
562 |
525 |
512 |
576 |
570 |
480 |
571 |
555 |
519 |
596 |
|
Math |
||||||||||
|
Female |
484 |
489 |
436 |
396 |
545 |
504 |
574 |
352 |
365 |
350 |
|
Male |
547 |
678 |
464 |
651 |
645 |
673 |
624 |
624 |
328 |
548 |
|
ANOVA |
||||||||||
|
Source of Variation |
SS |
df |
MSF |
F |
P-Value |
F critical |
||||
|
Sample |
52635.03 |
1 |
52635.03 |
5.029517 |
0.031169 |
4.113161 |
||||
|
Columns |
6027.025 |
1 |
6027.025 |
0.57591 |
0.45286 |
4.113161 |
||||
|
Interaction |
31528.22 |
1 |
31528.22 |
3.012666 |
0.09117 |
4.113161 |
||||
|
Within |
376748.1 |
36 |
10465.23 |
|||||||
|
Total |
466938.4 |
39 |
Test the null hypothesis that SAT scores are not affected by an interaction between gender and test (verbal/math). What do you conclude?
