Question

You are asked to go into a primary school and perform a study to look for any correlation between participation in school sports teams and whether the pupil attends the after-school book club. Each independent variable for the study has two conditions attached to it. How would the ANOVA be represented?

		1 × 1 × 1 × 1
		2 × 2
		2 × 2 × 2 × 2
		4 × 4

The results of a one-way repeated-measures ANOVA with four levels on the independent variable revealed a significance value for Mauchly's test of p = 0.048. What does this mean?

		The assumption of sphericity has been violated.
		The assumption of sphericity has been met.
		This value can be ignored because sphericity is not an issue in a one-way repeated-measures ANOVA design.
		That Tukey's test should be used.

A repeated-measures design is one in which?

		Single measurements are taken on a single unit.
		Multiple/repeated measurements are made on an experimental unit.
		No measurements are made at all.
		Measurements are devoid of errors.

Answer 1

1)

2X2 is correct

because it combines two variables, each of which has two levels.

2)

Option A is correct

The assumption of sphericity has been violated.

Because The significance value (.048) is less than the critical value of .05, which means that the assumption of sphericity has been violated.

3)

Multiple/repeated measurements are made on an experimental unit.