Question

D Question 23 1 pts A recent research study involved the effects of several dosage levels of a new drug (Factor A) and severity of depression (Factor B) on mood (dependent variable). Their partial summary table is shown here. Sum of f Mean SquareF Squares ource Between Factor A Factor B A x B Interaction Within Total 100 40 300 96 560 107 If participants were evenly distributed in the cells, how many participants were in each cell? 910 12

Answer 1

Answer: Number of participants in each cell is 9

Explanation

General ANOVA table for 2 factors is as follows:

Source of Degrees of Sum of Mean Varation Freedom Squares Square F-ratio Factor A r-1 Factor B c-1 InteractionSSA MSAB FAB-MSMSTail area P-value SSA Ms, | F1 = MSA /MSE | Tail area FR MSMSTail area 1 SSE MSg Error (within) Total SST ren-1

Here, r = Number of levels in Factor A

c = Number of levels in Factor B

n = Number of participants in each cell

Comparing the General ANOVA table with the given table, we derive following:

r - 1 = 3

r = 4

(r-1)*(c-1) = 6

c - 1 = 6/3

c = 2 + 1 = 3

rcn - 1 = 107

3*4*n = 108

n = 108/12

n = 9