Question

Two-Way ANOVA

Find the 3 F statistics for this two-way ANOVA, to look at the interaction between caffeine use and gender on memory scores in a list of 9 words. Use alpha .05 to test whether the null was correct or not.

	A1	A2	A3
B1	5	4	4
	2	6	9
	1	3	7
	4	1	5
	2	3	4
B2	6	6	5
	2	7	7
	3	4	5
	3	3	4
	2	3	8

Please help!!

Answer 1

Using Excel. go to Data, select Data Analysis, choose Anova: Two-Factor With Replication. Put all values along with headers in input range at alpha = 0.05and rows per sample = 5.

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
B	2.13	1	2.13	0.660	0.425	4.260
A	40.27	2	20.13	6.227	0.007	3.403
Interaction	1.87	2	0.93	0.289	0.752	3.403
Within	77.60	24	3.23
Total	121.87	29

F statistic (B1 and B2) = 0.660

F statistic (A1, A2 and A3) = 6.227

F (Interaction) = 0.289

Intercation effect

H₀: There is no significant interaction between caffeine use and gender on memory scores in a list of 9 words

H₁: There is a significant interaction between caffeine use and gender on memory scores in a list of 9 words

p-value = 0.752

Level of significance = 0.05

Since p-value is more than 0.05, we do not reject the null hypothesis.

So, there is no significant interaction between caffeine use and gender on memory scores in a list of 9 words.