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ANOVA: Interaction Factor

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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

Test the null hypothesis that SAT scores are not affected by an interaction between gender and test (verbal/math). What do you conclude?

ANOVA
SOURCE OF VARIATION SS df MS F P-value Fcrit
SAMPLE 526350.3 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

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The interaction factor from the ANOVA table has a p value of p = 0.09. This means that we CANNOT ...

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