Question

A one-way within-subjects ANOVA was carried out on a set of data with 4 groups of 6 subjects each. The responses are presented in the following table:

Subject	A1	A2	A3	A4
S1	5	6	10	9
S2	6	6	11	9
S3	7	7	8	7
S4	6	8	11	8
S5	4	6	10	8
S6	6	5	7	7

1. Complete the ANOVA table (show the work as well)

Source	SS		df		MS		F
Factor A	__		__		_		___
Subject	__		__		___
Within/error	__		__		___
Total	__		___

2. Find and report the critical value(s) and make the statistical decision for F statistic; and perform post-hoc test, if applicable.

Answer 1

SOLUTION

This is a simple problem related to ascertaining the significance of treatment (6 different subjects) on four different groups .

We need to conduct a one way ANOVA to identify the F statisitic (it is a statistical test statisitic of the entire process) and then to compare it to the critical values to conclude if it is significant or not.

So we shall follow the following steps to raise our ANOVA table.

I am giving a very exaustive detailed calculation and it will be followed by a summary table.