Deck 12: Analysis of Variance

Question 1

Answer 1

False

Question 2

Answer 2

True

Question 3

Answer 3

False

Question 4

Question 5

In an Analysis of Variance Summary Table, if the Mean Square Between = 14 and the Mean Square Within = 27, then the null hypothesis of the groups having the same mean
Is

A) cannot be determined without knowing the Degrees of Freedom (between and within).
B) accepted because 14 < 27.
C) cannot be determined without knowing the Sums of Squares (between and within).
D) rejected because 14 < 27.

Question 6

In an Analysis of Variance Summary Table, if the Mean Square Between = 41 and the Mean Square Within = 27, then the null hypothesis of the groups having the same mean
Is

A) rejected because 41 > 27.
B) cannot be determined without knowing the Sums of Squares (between and within).
C) accepted because 41 > 27.
D) cannot be determined without knowing the Degrees of Freedom (between and within).

Question 7

The variance is made by computing the variance using all
the data and is not affected by differences in the means.

Question 8

Question 9

Question 10

Question 11

A) 15
B) 30
C) 6
D) 36

Question 12

A) F = 0.91
B) F = 3.46
C) F = 1.32
D) F = 2.39

Question 13

A researcher is comparing 4 groups to test if they have the same means. There are data values altogether. The degrees of freedom for the Between (dfB) and the degrees of
Freedom for the Within (dfW) are

A) dfB = 4, dfW = 63
B) dfB = 3, dfW = 60
C) dfB = 60, dfW = 63
D) dfB = 3, dfW = 63

Question 14

A) The variances of the populations must be equal.
B) The samples must be independent of each other.
C) The sample sizes must be equal.
D) The populations from which the samples were obtained must be normally distributed.

Question 15

When there is one independent variable, the analysis of variance is called a
ANOVA.

Question 16

If there is no difference in the means, the variance
will be approximately equal to the within-group variance.

Question 17

The between-group variance and the within-group variance are sometimes referred to as

A) mean squares.
B) main effects.
C) interaction effects.
D) an ANOVA summary table.

Question 18

Question 19

ANOVA is an abbreviation for the following term:

A) Scheffé test
B) Tukey test
C) analysis of variance
D) variance

Question 20

A) dfN = 35, dfD = 20
B) dfN = 29, dfD = 2
C) dfN = 20, dfD = 35
D) dfN = 2, dfD = 29

Question 21

Question 22

Question 23

A) 0.158
B) 0.031
C) 3.900
D) 0.062

Question 24

The test can be used after the analysis of variance has been
completed to make pairwise comparisons between means when groups have the
same sample size.

Question 25

Question 26

Question 27

In order to conduct the Scheffé test, one must compare the means two at a time using all
possible combinations of means.

Question 28

Question 29

A) 5.06
B) 2.25
C) 4.86
D) 6.62

Question 30

A) Yes
B) No

Question 31

The test to detect where the difference is among the means can
be used even if the sample sizes are not equal.

Question 32

A) -0.17
B) -0.01
C) -0.82
D) -2.31

Question 33

Question 34

A) -1.25
B) 3.91
C) 6.25
D) 1.56

Question 35

Question 36

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 8 population means (from equal sized samples) are not all equal. We
Should expect that

Question 37

Question 38

Question 39

A) No
B) Yes

Question 40

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 5 population means are not all equal. We should expect that

Question 41

Which of the following assumptions does not apply to the two-way ANOVA?

A) The means of the populations must be equal.
B) The populations from which the samples were obtained must be normally or approximately normally distributed.
C) The samples must be independent of each other.
D) The groups must be equal in sample size.

Question 42

A) only the null hypothesis concerning Factor A and the Interaction (A ×
B) effect should be rejected.
B) only the null hypothesis concerning Factor A should be rejected.
C) only the null hypothesis concerning Factor B should be rejected.
D) all of the null hypotheses should be accepted.

Question 43

Question 44

A) all of the null hypotheses should be accepted.
B) effect should be rejected.
B) the null hypothesis concerning Factor A should be rejected.
C) the null hypothesis concerning Factor B should be rejected.
D) the null hypothesis concerning Factor A and the Interaction (A ×

Question 45

Question 46

A) only the null hypothesis concerning Factor A should be rejected.
B) effect should be rejected.
B) only the null hypothesis concerning Factor B should be rejected.
C) all of the null hypotheses should be accepted.
D) only the null hypothesis concerning Factor A and the Interaction (A ×

Question 47

In 2-way ANOVA, each independent variable investigated could have two or
more different treatments or .

Question 48

A) The null hypothesis concerning Factor A should be rejected
B) The null hypothesis concerning Factor A and the Interaction (A ×
B) effect should be rejected
C) The null hypothesis concerning Factor B should be rejected
D) All of the null hypotheses should be accepted

Question 49

In 2-way ANOVA, effects of the independent variables are also referred to as the
.

Question 50

In a two-way ANOVA design, variable A has four levels and variable B has two
levels. There are eight data values in each cell. What is the d.f.N. for factor B?

Question 51

For a disordinal interaction, the main effects can be interpreted independently of each
other.

Question 52

A) Yes
B) No

Question 53

A researcher is performing a two-way ANOVA using two factors. The first factor has levels and the second factor has 3 levels. In the ANOVA Summary Table, the degrees of
Freedom for the first and second factors will be

A) 7 d.f. for the first factor and 3 d.f. for the second factor
B) 8 d.f. for the first factor and 4 d.f. for the second factor
C) 6 d.f. for the first factor and 2 d.f. for the second factor
D) 21 d.f. for the first factor and 21 d.f. for the second factor

Question 54

A) disordinal interaction
B) polar interaction
C) cardinal interaction
D) ordinal interaction

Question 55

In a two-way ANOVA procedure, variable A has four levels and variable B has two
levels. The d.f.N. for factor A × B would be 3.

Question 56

Independent variables can also be called .

Question 57

Question 58

A researcher is performing a two-way ANOVA using two factors. The first factor has levels and the second factor has 9 levels. In the ANOVA Summary Table, the degrees of
Freedom for the interaction between the first and second factors will be

A) 32
B) 27
C) 24
D) 36

Question 59

A) The graph does not give any indication of whether or not there is an interaction effect.
B) The main effects should not be interpreted without considering the interaction effect.
C) There is no significant interaction effect.
D) There is a significant interaction effect.

Question 60

A) disordinal interaction
B) ordinal interaction
C) cardinal interaction
D) There is no interaction because the lines do not cross.

Question 61

Question 62

Question 63

Question 64

Question 65

A) Yes
B) No

Question 66

Question 67

Question 68

Question 69

A) No
B) Yes