CH 10 Analysis of Variance (ANOVA)

Assume the following: An ANOVA research problem has four samples; 34 cases total; the SSw =180; the SSB = 27; What is the value of F?

1.50

Assume the following: An ANOVA research problem has three samples; 25 cases total; the SSw =2; the SSB = 10; the level of significance = .05. What is appropriate critical value?

3.44

Assume the following: A ANOVA research problem is based upon four samples and a total of 34 cases. The SSw =108; the SSB = 27; the level of significance = .01. Using Appendix E to arrive at the proper answer, what is the appropriate critical value?

4.51

An analysis of variance (ANOVA) is conducted for a research problem involving five samples and a total of 52 subjects. The number of degrees of freedom within will equal:

47

Assume the following: An ANOVA research problem involves four samples; 25 cases total; F = 2.75; the level of significance = .05; a critical value of 3.07. What would be the proper interpretation?

Fail to reject the null hypothesis

The procedure for calculating the sum of squares between involves:

First, find the deviations of each sample mean from the grand mean. Square the deviations. Sum those squared deviations and multiply the sum by the number of cases in the sample. Repeat the procedures for each sample. Sum the sample results over all of the categories or samples.

The procedure for calculating the sum of squares within involves:

First, find the deviations of each score or value in a sample from the mean of the sample. Square the deviations. Sum the squared deviations. Repeat the procedures for each sample. Sum the sample results over all of the samples.

As related to ANOVA, what do the symbols MSB and MSW refer to?

Mean square between and mean square within

In terms of Analysis of Variance (ANOVA), when would you use post hoc testing?

When you have rejected the null hypothesis

Assume the following: .05 level of significance; five samples; 21 cases; SSB= 26; SSW= 29 a.Calculate the F ratio b.What is the critical value?c.What is your conclusion?

a. 3.59 b.3.01 c. Reject

Which of the following is/are correct? a. The F ratio is the ration of the mean square between to the mean square within b. The F ratio is the ratio of the expected frequency to the observed frequency c. The F ratio is limited to hypotheses involving two population means d. All of the above are true

a. The F ratio is the ration of the mean square between to the mean square within

The number of degrees of freedom between in the Analysis of Variance (ANOVA) procedure:

is a function of the number of categories or samples involved in the analysis

The formula for calculating the number of degrees of freedom between is:

k - 1

The Analysis of Variance (ANOVA) procedure:

may be appropriate for a test involving several samples, even though each sample might have a different number of cases

The analysis of variance procedure (ANOVA) is designed to:

measure the ration of the variation between to variation within

The formula for calculating the number of degrees of freedom within is:

n - k

As related to ANOVA, what do the symbols SSB and SSW refer to?

sum of squares between and sum of squares within

What is the null hypothesis for an ANOVA?

All of the population means are equal

The procedure for calculating the mean square between involves:

Dividing the sum of squares between by the number of degrees of freedom between

An analysis of variance (ANOVA) is conducted for a research problem involving a total of 80 students. The 80 students are classified on the basis of several different school programs. The number of degrees of freedom between will equal:

Cannot determine on the basis of the information given.

The procedure for calculating the mean square within involves:

Dividing the sum of squares within by the number of degrees of freedom within

See # 22 on Ch 10 quiz

WA