Question

1. Which of the following situations would be most likely to lead to rejecting the null hypothesis?

	a.	There is a lot of between-group variance and a lot of within-group variance.
	b.	There is a lot of between-group variance and very little within-group variance.
	c.	There is very little between-group variance and a lot of within-group variance.
	d.	There is very little between-group variance and very little within-group variance.

2.

Would researchers rather increase or decrease within-group variance?

	a.	increase
	b.	decrease

3.

If an independent variable has no effect on a dependent variable, what should the value of the F ratio be close to?

	a.	0
	b.	1
	c.	the population mean
	d.	It depends on the number of degrees of freedom in the study.

4. A student does an ANOVA and finds that little girls spent more time playing with dolls than boys, F(1, 32) = 9.00, p= .02. The student’s supervisor suggests that the student reports a t-test rather than an F. If the student did a t-test, what would the p value be for that test?

	a.	.02
	b.	.01
	c.	There is no way to tell based on the information provided

Answer 1

Que.1

There is a lot of between-group variance and very little within-group variance.

If value of F statistic is greater than critical value then we reject null hypothesis. We get maximum F-value if  between-group variance is greater than within-group variance.

Que.2

Decrease

Within group variance refers to variations caused by differences within individual groups (or levels). And researcher want to reduce this variation.

Que.3

It depends on the number of degrees of freedom in the study.

Que.4

P-value = 0.02

Because here F test is used to compared only two means hence its p-value is same as p-value for t-test.