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Homework answers / question archive / The following table summarizes the results of a two-factor ANOVA evaluating an independent-measures experiment with 2 levels of factor A, 3 levels of factor B, and n = 8 participants in each treatment condition

The following table summarizes the results of a two-factor ANOVA evaluating an independent-measures experiment with 2 levels of factor A, 3 levels of factor B, and n = 8 participants in each treatment condition

Statistics

The following table summarizes the results of a two-factor ANOVA
evaluating an independent-measures experiment with 2 levels of factor A, 3 levels of factor
B, and n = 8 participants in each treatment condition.
Source
SS df
MS

Between Treatments
124
____

Factor
A
____ ____
____ FA
= 10

Factor
B
____ ____
____ FB =
____

A x
B
20
____ ____ FAxB
= ____

Within Treatments
____ ____
4

Total
____ ____

A. Fill in all missing values in the table. Show your work (i.e., all
computational steps for finding the missing values). Hint: start with the df
values.
B. Do these data indicate any
significant effects (assume p < .05="" for="" hypothesis="" testing="" of="" all="" three="" effects)?="" for="" each="" effect,="" your="" answer="" should="" include="" :="" -="" the="" null="" hypothesis="" h0="" &="" the="" alternative="" hypothesis="" h1="" -="" the="" critical="" f="" value="" used="" for="" the="" decision="" about="" h0="" -="" if="" the="" difference="" is="" statistically="" significant,="" the="" computed="" effect="" size,="" η2="" -="" the="" conclusion="" in="" apa="" format="">

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The table for ANOVA is given by 
Source of Variation df Sum of Squares Mean Sum of Squares F— ratios Factor A or Row effect (a-1) SSA MSA= SSA/(3-1) MSA/MSE Factor B or Column effect (b-1) SSB MSB = SSB/(b-1) MSB/ MSE Interaction AB (a-1)(b-1) SSAB MSAB= SSAB/(a-1)(b-1) WAD/ MSE Error ab(n-1) SSE MSE = SSE/ ab(n-1) Total n-1 TSS 

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