Factor A: Number of Repetitions
Factor B: Amount of Coffee Drank		(A1) One Repetition	(A2) Two Repetitions	(A3) Three Repetitions	Row Means
(B1) No Coffee	13.1	18.7	22.8	18.2
(B2) 2-Cups	17.9	21.0	22.0	20.3
	Column Means	15.5	19.8	22.4

Effect	Eta Square	Omega Square
Factor A	0.56	0.54
Factor B	0.077	0
AxB Interaction	0.089	0.077

A researcher decides to study the effects of both repetition and caffeine on subjects' memory for a 30-word list. He randomly assigns nine subjects to each of the six cells of his two-factor, between-subjects experimental design, as shown below. The scores for each subject are the number of words recalled. Repetitions are the number of times the participants heard the word list read out loud before they were asked to recall it.

1. How can you write sentences comparing the values for eta square and omega square computed for the effects of Repetition, Coffee, and the Interaction of Coffee and Repetitions on memory ? Why are the values different for eta and omega square and which of the two is the most conservative estimate of strength of effect?

2. The table below shows only the AXB cell means for our 3x2 Factorial ANOVA. The cell means are shown in bold type. Between each adjacent pair of cell means are the absolute differences between those means for Repetitions (column comparisons) or cell means for Coffee (row comparisons). These absolute differences are in italicized type.

	Factor A: Number of Repetitions of Word List
Factor B: Amount of Coffee Drank		One Repetition	Absolute Difference Between Col. Means	Two Repetitions	Absolute Difference Between Col. Means	Three Repetitions
No Coffee	13.1	5.6	18.7	4.1	22.8
Absolute Differences Between Row Means	4.8		2.3		0.8
2-Cups	17.9	3.1	21.0	1.0	22.0

Problem 4. How do you complete a "Simple Main Effect" analysis of the effects of Coffee within each level of Repetition, one level of Repetitions at a time?

How can I fill in the table with statistically significant at the p < .05 level. and q = 4.04 for this computation?

Problem 5. What new information the Simple Main Effect analysis of provides about how the Interaction of Coffee with Repetitions influences people's memory of the 30-item word list?