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