Deck 12: Analysis of Variance: One-Factor Repeated Measures

Question 1

The repeated-measures ANOVA in Chapter 12 can be used to analyze two or more factors.

Answer 1

False

Question 2

In a one-factor repeated-measures ANOVA, the total variance is divided into three components.

Answer 2

True

Question 3

The F test for a one-factor repeated-measures ANOVA is the product of two variances.

Answer 3

False

Question 4

Sums of squares in one-factor repeated-measures ANOVAs are found by dividing mean squares by degrees of freedom.

Question 5

In a one-factor repeated-measures ANOVA, the between-subjects variability is discarded and not tested for significance.

Question 6

To compare two means after a one-factor repeated-measures ANOVA, calculate a Tukey HSD test.

Question 7

As a general rule, one-factor repeated-measures ANOVA is less powerful than one-way ANOVA.

Question 8

A one-factor repeated-measures ANOVA can compare only two means.

Question 9

With one-factor repeated-measures ANOVA, factor means independent variable.

Question 10

The repeated-measures ANOVA in Chapter 12 can be used to analyze only one independent variable.

Question 11

In a one-factor repeated-measures ANOVA, the total variance is divided into two components.

Question 12

The F test for a one-factor repeated-measures ANOVA is a difference between means divided by a sum of squares.

Question 13

Mean squares in one-factor repeated-measures ANOVAs are found by dividing sums of squares by degrees of freedom.

Question 14

In a one-factor repeated-measures ANOVA, the between-subjects variability is discarded, which reduces the size of the error variability.

Question 15

A Tukey HSD test is not appropriate for data analyzed with a one-factor repeated-measures ANOVA.

Question 16

As a general rule, one-factor repeated-measures ANOVA is more powerful than one-way ANOVA.

Question 17

A one-factor repeated-measures ANOVA is more like a paired-samples t test than an independent-samples t test.

Question 18

The repeated-measures ANOVA in Chapter 12 should be used if the experiment has three factors.

Question 19

In a one-factor repeated-measures ANOVA, the total variance is divided into four components.

Question 20

The F test for a one-factor repeated-measures ANOVA is a ratio of two variances.

Question 21

When sums of squares are divided by their degrees of freedom in one-factor repeated-measures ANOVA, means squares are the result.

Question 22

In a one-factor repeated-measures ANOVA, the between-treatments variability is discarded and not tested for significance.

Question 23

A Tukey HSD test compares only two means.

Question 24

As a general rule, one-factor repeated-measures ANOVA is more efficient than one-way ANOVA.

Question 25

A one-factor repeated-measures ANOVA is more like an independent-samples t test than a paired?samples t test.

Question 26

Data Set 12-1: $$\begin{array} { c l l l r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 0 & 3 & 5 & 8 \\2 & 3 & 4 & 6 & 13 \\\hline \Sigma & 3 & 7 & 11 & 21\end{array}$$

-In Data Set 12-1, SS_tot is equal to

A) 74.00
B) 21.50
C) 91.50

Question 27

Data Set 12-1: $$\begin{array} { c l l l r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 0 & 3 & 5 & 8 \\2 & 3 & 4 & 6 & 13 \\\hline \Sigma & 3 & 7 & 11 & 21\end{array}$$

-In Data Set 12-1, SS_treat is equal to

A) 16.00
B) 86.00
C) 4.17

Question 28

Data Set 12-1: $$\begin{array} { c l l l r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 0 & 3 & 5 & 8 \\2 & 3 & 4 & 6 & 13 \\\hline \Sigma & 3 & 7 & 11 & 21\end{array}$$

-In Data Set 12-1, MS_error is equal to

A) 4.34
B) 1.33
C) 2.08
D) 0.67

Question 29

Data Set 12-1: $$\begin{array} { c l l l r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 0 & 3 & 5 & 8 \\2 & 3 & 4 & 6 & 13 \\\hline \Sigma & 3 & 7 & 11 & 21\end{array}$$

-In Data Set 12-1, the F value for a repeated-measures ANOVA is

A) 6.00
B) 3.85
C) 12.00

Question 30

Data Set 12-2: $$\begin{array} { c r r c r } \text { Subjects } & \mathrm { X } _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 1 & 6 & 3 & 10 \\2 & 2 & 7 & 5 & 14 \\\Sigma & 13 & 8 & 24 &\end{array}$$

-In Data Set 12-2, SS_tot, is equal to

A) 120.00
B) 100.00
C) 25.00
D) 28.00

Question 31

Data Set 12-2: $$\begin{array} { c r r c r } \text { Subjects } & \mathrm { X } _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 1 & 6 & 3 & 10 \\2 & 2 & 7 & 5 & 14 \\\Sigma & 13 & 8 & 24 &\end{array}$$

-In Data Set 12-2, SS_treat is equal to

A) 25.00
B) 117.00
C) 2.67

Question 32

Data Set 12-2: $$\begin{array} { c r r c r } \text { Subjects } & \mathrm { X } _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 1 & 6 & 3 & 10 \\2 & 2 & 7 & 5 & 14 \\\Sigma & 13 & 8 & 24 &\end{array}$$

-In Data Set 12-2, MS_error is equal to

A) 0.167
B) 0.333
C) 1.500

Question 33

Data Set 12-2: $$\begin{array} { c r r c r } \text { Subjects } & \mathrm { X } _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 1 & 6 & 3 & 10 \\2 & 2 & 7 & 5 & 14 \\\Sigma & 13 & 8 & 24 &\end{array}$$

-In Data Set 12-2, the F value for a repeated-measures ANOVA is

A) more than 50.00
B) between 25.00 and 50.00
C) between 10.00 and 25.00
D) less than 10.00.

Question 34

Data Set 12-3: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 6 & 9 & 17 \\2 & 5 & 10 & 10 & 25 \\\Sigma & 7 & 16 & 19 & 42\end{array}$$

-In Data Set 12-3, SS_tot is equal to

A) 339.00
B) 304.00
C) 52.00

Question 35

Data Set 12-3: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 6 & 9 & 17 \\2 & 5 & 10 & 10 & 25 \\\Sigma & 7 & 16 & 19 & 42\end{array}$$

-In Data Set 12-3, SS_treat is equal to

A) 10.67
B) 49.75
C) 226.00
D) 39.00

Question 36

Data Set 12-3: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 6 & 9 & 17 \\2 & 5 & 10 & 10 & 25 \\\Sigma & 7 & 16 & 19 & 42\end{array}$$

-In Data Set 12-3, MS_error is equal to

A) 1.167
B) 2.333
C) 6.500

Question 37

Data Set 12-3: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 6 & 9 & 17 \\2 & 5 & 10 & 10 & 25 \\\Sigma & 7 & 16 & 19 & 42\end{array}$$

-In Data Set 12-3, the F value for a repeated-measures ANOVA is

A) 33.42
B) 8.37
C) 16.71

Question 38

Data Set 12-4: $$\begin{array} { c c c r c } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 3 & 0 & 7 & 10 \\2 & 5 & 4 & 7 & 16 \\\hline \Sigma & 8 & 4 & 14 & 26\end{array}$$

-In Data Set 12-4, SS_tot is equal to

A) 35.33
B) 122.00
C) 143.67

Question 39

Data Set 12-4: $$\begin{array} { c c c r c } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 3 & 0 & 7 & 10 \\2 & 5 & 4 & 7 & 16 \\\hline \Sigma & 8 & 4 & 14 & 26\end{array}$$

-In Data Set 12-4, SS_treat is equal to

A) 6.00
B) 25.33
C) 133.67

Question 40

Data Set 12-4: $$\begin{array} { c c c r c } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 3 & 0 & 7 & 10 \\2 & 5 & 4 & 7 & 16 \\\hline \Sigma & 8 & 4 & 14 & 26\end{array}$$

-In Data Set 12-4, MS_error is equal to

A) 5.00
B) 4.00
C) 2.00

Question 41

Data Set 12-4: $$\begin{array} { c c c r c } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 3 & 0 & 7 & 10 \\2 & 5 & 4 & 7 & 16 \\\hline \Sigma & 8 & 4 & 14 & 26\end{array}$$

-In Data Set 12-4, the F value for a repeated-measures ANOVA is

A) 12.67
B) 3.00
C) 1.50
D) 6.33

Question 42

Data Set 12-5: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 8 & 9 & 19 \\2 & 0 & 9 & 6 & 15 \\\Sigma & 2 & 17 & 15 & 34\end{array}$$

-In Data Set 12-5, SS_tot is equal to

A) 260.33
B) 232.00
C) 73.33

Question 43

Data Set 12-5: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 8 & 9 & 19 \\2 & 0 & 9 & 6 & 15 \\\Sigma & 2 & 17 & 15 & 34\end{array}$$

-In Data Set 12-5, SS_treat is equal to

A) 2.67
B) 66.33
C) 253.33

Question 44

Data Set 12-5: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 8 & 9 & 19 \\2 & 0 & 9 & 6 & 15 \\\Sigma & 2 & 17 & 15 & 34\end{array}$$

-In Data Set 12-5, MS_error is equal to

A) 2.17
B) 4.33
C) 5.00

Question 45

Data Set 12-5: $$\begin{array} { c r r r r } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \sum \\\hline 1 & 2 & 8 & 9 & 19 \\2 & 0 & 9 & 6 & 15 \\\Sigma & 2 & 17 & 15 & 34\end{array}$$

-In Data Set 12-5, the F value for a repeated-measures ANOVA is

A) 30.57
B) 7.66
C) 2.17
D) 15.31

Question 46

Data Set 12-6: CD : $$\begin{array} { c r r r r } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 7 & 6 & 9 & 22 \\2 & 3 & 5 & 8 & 16 \\\hline \Sigma & 10 & 11 & 17 & 38\end{array}$$

-In Data Set 12-6, SS_tot is equal to

A) 23.33
B) 226.00
C) 257.67

Question 47

Data Set 12-6: CD : $$\begin{array} { c r r r r } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 7 & 6 & 9 & 22 \\2 & 3 & 5 & 8 & 16 \\\hline \Sigma & 10 & 11 & 17 & 38\end{array}$$

-In Data Set 12-6, SS_treat is equal to

A) 248.67
B) 14.33
C) 6.00

Question 48

Data Set 12-6: CD : $$\begin{array} { c r r r r } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 7 & 6 & 9 & 22 \\2 & 3 & 5 & 8 & 16 \\\hline \Sigma & 10 & 11 & 17 & 38\end{array}$$

-In Data Set 12-6, MS_error is equal to

A) 5.00
B) 3.00
C) 0.50
D) 1.50

Question 49

Data Set 12-6: CD : $$\begin{array} { c r r r r } \text { Subjects } & X _ { l } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 7 & 6 & 9 & 22 \\2 & 3 & 5 & 8 & 16 \\\hline \Sigma & 10 & 11 & 17 & 38\end{array}$$

-In Data Set 12-6, the F value for a repeated-measures ANOVA is

A) 4.78
B) 4.00
C) 9.55

Question 50

Data Set 12-7: $$\begin{array} { c c c c c } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 2 & 3 & 7 & 12 \\2 & 3 & 5 & 6 & 14 \\\hline \Sigma & 5 & 8 & 13 & 26\end{array}$$

-In Data Set 12-7, SS_tot is equal to

A) 19.33
B) 106.00
C) 127.67

Question 51

Data Set 12-7: $$\begin{array} { c c c c c } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 2 & 3 & 7 & 12 \\2 & 3 & 5 & 6 & 14 \\\hline \Sigma & 5 & 8 & 13 & 26\end{array}$$

-In Data Set 12-7, SS_treat is equal to

A) 0.67
B) 16.33
C) 124.67

Question 52

Data Set 12-7: $$\begin{array} { c c c c c } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 2 & 3 & 7 & 12 \\2 & 3 & 5 & 6 & 14 \\\hline \Sigma & 5 & 8 & 13 & 26\end{array}$$

-In Data Set 12-7, MS_error is equal to

A) 2.33
B) 1.50
C) 1.17

Question 53

Data Set 12-7: $$\begin{array} { c c c c c } \text { Subjects } & X _ { 1 } & X _ { 2 } & X _ { 3 } & \Sigma \\\hline 1 & 2 & 3 & 7 & 12 \\2 & 3 & 5 & 6 & 14 \\\hline \Sigma & 5 & 8 & 13 & 26\end{array}$$

-In Data Set 12-7, the F value for a repeated-measures ANOVA is

A) 3.50
B) 4.44
C) 10.20
D) 7.00

Question 54

Which of these things is not like the others which of these things doesn't belong?

A) independent variable
B) factor
C) dependent variable

Question 55

An independent variable in a repeated-measures ANOVA is called a(n)

A) factor
B) dependent variable
C) variable
D) mean square.

Question 56

In analysis of variance, an independent variable is called a

A) variance
B) dependent variable
C) level
D) factor.

Question 57

Another word for independent variable is

A) variance
B) mean square
C) factor
D) none of the other alternatives are correct.

Question 58

The word or phrase that means the same thing as factor is

A) variance
B) repeated-measures
C) dependent variable
D) independent variable.

Question 59

The F value obtained from the data is 3.75 based on 2 and 14 degrees of freedom. You should _________________the null hypothesis if $\alpha$ = .05, even though you might be making a _________________ error.

A) reject Type I
B) reject Type II
C) retain Type I
D) retain Type II

Question 60

The F value obtained from the data is 3.45 based on 3 and 12 degrees of freedom. You shouldthe null hypothesis if $\alpha$ = .05, even though you might be making a error.

A) reject Type I
B) reject Type II
C) retain Type I
D) retain Type II

Question 61

An F value of 3.50 with 4 and 10 degrees of freedom is obtained from the data. You shouldthe null hypothesis if $\alpha$ = .05, even though you might be making a error.

A) reject Type I
B) reject Type II
C) retain Type I
D) retain Type II

Question 62

An F value obtained from the data is 3.45 based on 2 and 20 degrees of freedom. You shouldthe null hypothesis if $\alpha$ = .05, even though you might be making a error.

A) reject Type I
B) reject Type II
C) retain Type I
D) retain Type II

Question 63

An F value obtained from the data is 3.65 based on 2 and 18 degrees of freedom. Alpha = .05. With such results it is possible to make a _______ error.

A) Type I
B) Type II
C) both of the descriptive alternatives are correct
D) neither of the descriptive alternatives is correct.

Question 64

The F value obtained from the data is 3.05 based on 4 and 14 degrees of freedom. Alpha = .05. With such results it is possible to make a _______ error.

A) Type I
B) Type II
C) both of the descriptive alternatives are correct
D) neither of the descriptive alternatives is correct.

Question 65

The "one factor"in the title "one-factor repeated- measures ANOVA"refers to the number of

A) independent variables
B) levels of the independent variable
C) dependent variables.

Question 66

A one-factor repeated-measures ANOVA is designed forindependent variable(s).

A) 1
B) 2
C) many
D) any number depending on the number of levels of the independent variable.

Question 67

The number of independent variables that can be handled by a one-factor repeated-measures-ANOVA is

A) 1
B) 2
C) 3
D) many.

Question 68

The null hypothesis for a repeated-measures ANOVA is

A) H₀: $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B) H₀: $\mu$ ₁ $\neq$ $\mu$ ₂ $\neq$$\mu$ ₃
C) H₀: $\mu$ ₁ < $\mu$ ₂ < $\mu$ ₃
D) H₀: $\mu$ ₁ > $\mu$ ₂ > $\mu$ ₃.

Question 69

The F ratio in a repeated-measures ANOVA consists of the

A) between-subjects variance divided by the between-treatments variance
B) between-treatments variance divided by the between-subjects variance
C)between-subjects variance divided by the error variance
D) between-treatments variance divided by the error variance.

Question 70

A repeated-measures ANOVA removes ________variance from further consideration.

A) between treatments
B) between subjects
C) error
D) all of the other alternatives are correct.

Question 71

A one-factor repeated-measures ANOVA partitions the total variance into _______ component(s).

A) 1
B) 2
C) 3
D) 4.

Question 72

What is the critical value of F (for $\alpha$ = .05) for a repeated-measures ANOVA that has three subjects who provide data in four conditions?

A) 4.76
B) 5.14
C) 3.59

Question 73

A repeated-measures ANOVA with five subjects who provide data in three conditions would have what critical value of F ( $\alpha$ = .05)?

A) 3.84
B) 3.74
C) 4.46

Question 74

A repeated-measures ANOVA with six subjects who provide data in four conditions would have what critical value of F ( $\alpha$ = .05)?

A) 3.03
B) 3.29
C) 2.90

Question 75

A repeated-measures ANOVA with three subjects who provide data in five conditions would have what critical value of F ( $\alpha$ = .05)?

A) 3.84
B) 4.35
C) 4.46

Question 76

A repeated-measures ANOVA with four subjects who provide data in three conditions would have what critical value of F ( $\alpha$ = .05)?

A) 4.76
B) 5.14
C) 3.98

Question 77

A repeated-measures ANOVA with three subjects who provide data in six conditions would have what critical value of F ( $\alpha$ = .05)?

A) 2.81
B) 4.10
C) 3.33

Question 78

A one-factor repeated-measures ANOVA is like a one-way ANOVA with respect to

A) number of factors
B) number of dependent variables
C) use of the F distribution
D) all of the other alternatives are correct.

Question 79

A one-factor repeated-measures ANOVA is like a one-way ANOVA with respect to

A) the number of factors
B) the number of components that the total variance is partitioned into
C) its degree of efficiency
D) its power.

Question 80

A one-factor repeated-measures ANOVA is like a one-way ANOVA with respect to

A) number of factors
B) number of dependent variables
C) both of the descriptive alternatives are correct
D) neither of the descriptive alternatives is correct.