Mathematics
Question 1
An independent-measures t test produced a t statistic with df = 20. If the same data had been evaluated with an analysis of variance, what would be the df values for the F-ratio?
Answer
a. | 1, 20 | |
b. | 2, 20 | |
c. | 1, 19 | |
d. | 2, 19 |
Question 2
An analysis of variance comparing three treatment conditions produces dftotal = 24. For this ANOVA, what is the value of dfwithin?
Answer
a. | 3 | |
b. | 2 | |
c. | 21 | |
d. | 22 |
Question 3
A researcher uses analysis of variance to test for mean differences among four treatments with a sample of n = 6 in each treatment. The F-ratio for this analysis would have what df values?
Answer
a. | df = 3, 15 | |
b. | df = 4, 24 | |
c. | df = 3, 5 | |
d. | df = 3, 20 |
Question 4
For an analysis of variance comparing four treatments, MSbetween = 12. What is the value of SSbetween?
Answer
a. | 4 | |
b. | 48 | |
c. | 36 | |
d. | 3 |
Question 5
An analysis of variance produces SSwithin = 40 and MSwithin = 10. In this analysis, how many treatment conditions are being compared?
Answer
a. | 4 | |
b. | 5 | |
c. | 50 | |
d. | 30 |
Question 6
An analysis of variance comparing three treatment conditions produces dftotal = 24. For this ANOVA, what is the value of dfbetween?
Answer
a. | 2 | |
b. | 3 | |
c. | 22 | |
d. | 21 |
Question 7
An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment. For this study, the three sample totals are, T1 = 5, T2 = 10, and T3 = 15. What value would be obtained for SSbetween?
Answer
a. | 15 | |
b. | 5 | |
c. | 1 | |
d. | 10 |
Question 8
An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment. For this study, the three sample totals are, T1 = 5, T2 = 10, T3 = 15, and 2 = 75 for the entire set of scores. What value would be obtained for SStotal?
Answer
a. | 15 | |
b. | 5 | |
c. | 10 | |
d. | 1 |
Question 9
The following table shows the results of an analysis of variance. Based on this table, what is the value for ?2, the percentage of variance accounted for?
Source | SS | df | MS | |
Between | 16 | 2 | 8 | F = 2.00 |
Within | 84 | 21 | 4 | |
Total | 100 | 23 | ||
Answer
a. | 16/100 | |
b. | 16/18 | |
c. | 84/100 | |
d. | 4/10 |
Question 10
The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment. Note that several values are missing in the table. What is the missing value for the F-ratio?
Source | SS | df | MS | |
Between | xx | xx | 14 | F = xx |
Within | xx | xx | xx | |
Total | 154 | xx | ||
Answer
a. | 28 | |
b. | 2 | |
c. | 7 | |
d. | 14 |
Question 11
An analysis of variances produce SSbetween = 20, SSwithin = 30, and an F-ratio with df = 2, 15. For this analysis, what is the F-ratio?
Answer
a. | 30/20 = 1.50 | |
b. | 20/30 = 0.67 | |
c. | 10/2 = 5.00 | |
d. | 2/10 = 0.20 |
Question 12
An experiment compares three treatment conditions with a separate sample of n = 10 in each treatment. If the data are analyzed with ANOVA, the analysis would have dftotal = _____.
Answer
a. | 29 | |
b. | 28 | |
c. | 27 | |
d. | 30 |
Question 13
An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment. For this study, the three samples have SS1= 10, SS2 = 20, and SS3 = 15. What value would be obtained for MSwithin?
Answer
a. | 45/27 | |
b. | 45/3 | |
c. | 45/29 | |
d. | 45/30 |
Question 14
For an F-ratio with df = 2, 10, the critical value for a hypothesis test using a = .05 would be _____.
Answer
a. | 99.40 | |
b. | 4.10 | |
c. | 19.39 | |
d. | 7.56 |
Question 15
The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 10 participants in each treatment. Note that several values are missing in the table. What is the missing value for SStotal?
Source | SS | df | MS | |
Between | 20 | xx | xx | F = xx |
Within | xx | xx | 2 | |
Total | xx | xx | ||
Answer
a. | 30 | |
b. | 54 | |
c. | 22 | |
d. | 74 |