1) Analysis of variance should only be conducted when a. sample sizes are greate

Question

1) Analysis of variance should only be conducted when
a. sample sizes are greater than 30 per group.
b. there are less than 30 subjects per group.
c. population variances are equal.
d. population sizes are equal.

2) When an analysis of variance is conducted,
a. fewer subjects are required than when a t test for independent means is conducted.
b. two estimates of the population variance are compared.
c. difference scores are computed, as in a t test for dependent means.
d. all of the above.

3)In an analysis of variance, if the null hypothesis is true, then
a. the research hypothesis is also true.
b. fewer subjects are needed for the experiment.
c. there should be less variance among means of samples than if the null hypothesis were not true.
d. the within-group estimate of the population variance is smaller than the between-group estimate.

4) When conducting an analysis of variance, if the within-group variance estimate is about the same as the between-group variance estimate, then
a. the null hypothesis should be rejected.
b. any difference between sample means is probably due to random sampling error.
c. an error in the calculations was made, because within-group variance estimate must always be smaller than the between-group variance estimate.
d. any difference between sample means is probably due to a real difference caused by experimental conditions.

5) When conducting an analysis of variance, the null hypothesis is rejected when
a. the t score is significantly larger than the cutoff t.
b. the F ratio is significantly larger than 1.
c. the t score is significantly smaller than the F ratio.
d. the F ratio is significantly smaller than the t score.

6) In an analysis of variance, the population variance can be estimated within any one group by
a. finding the sum of squared deviations of the scores in that group from that group's mean, and then dividing that sum by that group's degrees of freedom.
b. finding the sum of squared deviations of the scores in that group from that group's mean, and then dividing that sum by the numerator degrees of freedom.
c. finding the sum of squared deviations of the scores in that group from the overall mean of all the scores (in all groups), and dividing that sum by that group's degrees of freedom.
d. finding the sum of squared deviations of the scores in that group from the overall mean of all the scores (in all groups), and dividing that sum by the numerator degrees of freedom.

Explanation / Answer

1) Analysis of variance should only be conducted when the population sizes are equal.
So, d is the correct one.
2) When an Anova is conducted, then the two estimates of the population variance are compared. 3) The within group estimate of the population variance is smaller than the between group estimate d is the correct anwer. 4) Any difference between sample means is probably due to random sampling error, so b is the correct answer. 5) b) The F-ratio should significantly larger than 1. 6) a is the correct one. Finding the sum of squared deviations of the scores in that group from that group's mean and then dividing that sum by that group's degrees of freedom.

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