Deck 17: Beyond the Basics in Basic Data Analysis

Question 1

The SSB is calculated by multiplying the deviation of each group mean from the grand mean and dividing by the number of observations.

Answer 1

False
the SSB is calculated by squaring the deviation of each group mean from the grand mean,multiplying by the number of items in the group,and then summing these scores.

Question 2

The SSB is the variability of the groups' means about a grand mean.

Answer 2

True

Question 3

A randomized block design is a variation of GLM ANOVA.

Answer 3

True

Question 4

F-ratio = MSB/MSE.

Question 5

The SST is equal to the total sum of the observed values' deviations from the overall or grand mean.

Question 6

A demand artifact results when the differences between treatment levels is caused by a genuine response to the treatments rather than by an awareness of the treatments.

Question 7

An RBD allows the analyst to control statistically for the impact of a blocking variable.

Question 8

In between-subjects experimental design,experimental subjects are exposed to multiple treatment combinations in the same experiment.

Question 9

The F-test partitions the total variation into within-group sum of squares and between-group sum of squares.

Question 10

The SSE is the total sum of observed values' deviations from the overall or grand mean.

Question 11

In a two-factor experimental design model,Yᵢⱼk = µ + βᵢ + αⱼ + Iᵢⱼ + εᵢⱼₖ,Yᵢⱼk represents the individual observation on the dependent variable.

Question 12

A factorial design is an experimental design fully implemented with one experimental variable.

Question 13

The F-ratio is calculated by taking the ratio of the mean square between groups to the mean square within groups.

Question 14

In a two-factor experimental design model,Yᵢⱼk = µ + βᵢ + αⱼ + Iᵢⱼ + εᵢⱼₖ,Iᵢⱼ represents the interaction effect of factors A and B.

Question 15

The SST is computed by squaring the deviation of each observed value from the grand mean and summing these values.

Question 16

The X-statistic is a basic test statistic of ANOVA,and GLM in general,involving the ratio of systematic to error variance.

Question 17

Within-subjects designs involve repeated measures because with each treatment,a different subject is measured.

Question 18

In the F-statistic,SST = SSE + SSB.

Question 19

The total sum of squares minus the within-group sum of squares is equal to the between-group sum of squares.

Question 20

The SSE is calculated by squaring the deviation of each score from its group mean and summing these scores.

Question 21

If MSB=803.7 and the F-ratio is 1.72,MSE is equal to about ____.

A)467
B)596
C)801.98
D)1,382

Question 22

An unbalanced experimental design presents equal cell sizes.

Question 23

The total sum of squares is equal to the ____.

A)within-group sum of squares plus the between-group sum of squares
B)within-group sum of squares minus the between-group sum of squares
C)within-group sum of squares multiplied by the between-group sum of squares
D)within-group sum of squares divided by the between-group sum of squares

Question 24

Resource limitations may limit the number of subjects recruited for an experiment,such that only the combinations most likely to be considered realistic are used.

Question 25

In a two-factor experimental design model,Yᵢⱼk = µ + βᵢ + αⱼ + Iᵢⱼ + εᵢⱼₖ,what does Yᵢⱼk represent?

A)individual observation on the dependent variable
B)grand mean
C)interaction effect of factors A and B
D)jth effect of factor A - column treatment

Question 26

A balanced experimental design is one in which random numbers of subjects are exposed to each combination of treatment levels.

Question 27

The mean square within groups is equal to ____.

A)SSB/c-1
B)SSE/cn-c
C)MSB/MSE
D)c-1/cn-c

Question 28

The F-statistic is equal to ____.

A)MSB - MSE
B)MSE - MSB
C)MSB/MSE
D)MSE/MSB

Question 29

If MSB=803.7 and MSE=520.4,the F-ratio is equal to ____.

A)0
B)0.65
C)1.54
D)283.3

Question 30

Which of the following is defined as the variability of the group means about a grand mean?

A)between-group sum of squares
B)total sum of squares
C)F-statistic
D)ꭓ² value

Question 31

The mean square between groups is equal to ____.

A)SSB/c-1
B)SSE/cn-c
C)MSB/MSE
D)c-1/cn-c

Question 32

Which design is an experimental design fully implemented with two or more experimental variables?

A)randomized block design
B)factorial design
C)within-subjects experimental design
D)demand artifact

Question 33

Which design is a variation of GLM ANOVA and allows the analyst to control statistically for the impact of a nominal or ordinal control variable?

A)randomized block design
B)factorial design
C)within-subjects experimental design
D)demand artifact

Question 34

The formula given below yields the ____.

A)total sum of squares
B)between-group sum of squares
C)within-group sum of squares
D)mean squares between groups

Question 35

Even an incomplete experimental design requires that observations be made on all combinations of treatments.

Question 36

In a two-factor experimental design model,Yᵢⱼk = µ + βᵢ + αⱼ + Iᵢⱼ + εᵢⱼₖ,what does µ represent?

A)individual observation on the dependent variable
B)grand mean
C)interaction effect of factors A and B
D)jth effect of factor A - column treatment

Question 37

The sum of the squared differences between observed values and the group mean for a given set of observations is known as the ____.

A)within-group sum of squares
B)between-groups sum of squares
C)F-ratio
D)Y statistic

Question 38

The formula given below yields the ____.

A)total sum of squares
B)between-group sum of squares
C)within-group sum of squares
D)mean squares between groups

Question 39

A post-hoc comparison tests the statistical significance of all possible group differences between means provided that a hypothesis about such differences exists.

Question 40

The total sum of squares minus the within-group sum of squares is equal to the ____.:

A)F-statistic
B)between-groups sum of squares
C)F-ratio
D)Y statistic

Question 41

The F-test partitions total variation into ____________________ sum of squares and ____________________ sum of squares.

Question 42

In which artifact are observed effects due to awareness of the treatments rather than a genuine response to the treatments?

A)instrumentation
B)history
C)attrition
D)demand

Question 43

Which tool graphically depicts what-if analyses illustrating the chances of some event occurring?

A)decision-tree
B)probability matrix
C)functional analysis
D)comparison branching

Question 44

Which of the following is the most commonly applied post-hoc comparison technique?

A)Tukey Honestly Significant Difference
B)Pearson r
C)Wilks lambda
D)Cronbach's alpha

Question 45

Which design requires repeated measures because the same subject is measured with each treatment?

A)randomized block design
B)factorial design
C)within-subjects experimental design
D)between-subjects experimental design

Question 46

In a two-factor experimental design model,Yᵢⱼk = µ + βᵢ + αⱼ + Iᵢⱼ + εᵢⱼₖ,what does Iᵢⱼ represent?

A)individual observation on the dependent variable
B)grand mean
C)interaction effect of factors A and B
D)jth effect of factor A - column treatment

Question 47

The combination of individual or group means representing a planned comparison is called a ____.

A)difference
B)differential
C)contrast
D)divergence

Question 48

In a two-factor experimental design model,Yᵢⱼk = µ + βᵢ + αⱼ + Iᵢⱼ + εᵢⱼₖ,what does αⱼ represent?

A)individual observation on the dependent variable
B)grand mean
C)interaction effect of factors A and B
D)jth effect of factor A - column treatment

Question 49

Which design results in some empty cells?

A)balanced experimental design
B)unbalanced experimental design
C)incomplete experimental design
D)pseudo-experimental design

Question 50

The basic statistical test of the ANOVA that is used to compare the sample variance with another sample variance is the ____________________.

Question 51

SSB represents variance around the ____________________ means.

Question 52

Which comparison tests differences between specific cells in an experimental design that is based on some specific hypothesized condition corresponding to that contrast?

A)internal comparison
B)non-experimental comparison
C)planned comparison
D)post-hoc comparison

Question 53

Which design has unequal numbers of subjects per experimental cell?

A)balanced experimental design
B)unbalanced experimental design
C)incomplete experimental design
D)pseudo-experimental design

Question 54

The variability that is not explained by SSB in the standard ANOVA computation is ____________________.

Question 55

In which of the following are experimental subjects exposed to multiple treatment combinations in the same experiment?

A)randomized block design
B)factorial design
C)within-subjects experimental design
D)between-subjects experimental design

Question 56

Which tool involves an automatic interaction routine combining cross-classification and regression analysis?

A)RBD
B)CHAID
C)CART
D)HSD

Question 57

Which procedure tests that statistical significance of all possible group differences between means even when no hypothesis about such differences exists?

A)internal comparison
B)non-experimental comparison
C)planned comparison
D)post-hoc comparison

Question 58

Which tool refers to a computerized procedure that searches for variables within a data set relating systematically with a dependent variable?

A)decision-tree
B)post-hoc comparison
C)CART
D)automatic interaction detection

Question 59

In which design are approximately an equal number of subjects exposed to each combination of treatment levels?

A)balanced experimental design
B)unbalanced experimental design
C)incomplete experimental design
D)pseudo-experimental design

Question 60

The degrees of freedom associated with the between-groups sum of squares is equal to____________________.

Question 61

The most basic form of automatic interaction detection is ____________________.

Question 62

How are sequential chi-square analyses useful when analyzing big data?

Question 63

Explain the total sum of squares and its components.

Question 64

A(n)____________________ experimental design results in some empty cells.

Question 65

When a contrast equation is set up,the sum of all the weights must equal ____________________.

Question 66

In ____________________ -subjects experimental design,experimental subjects are exposed to multiple treatment combinations in the same experiment.

Question 67

The denominator of an F-statistic has ____________________ degrees of freedom.

Question 68

A(n)____________________ occurs when the observed effects are due to awareness of the treatments rather an a genuine response to the treatments.

Question 69

The most commonly applied post-hoc comparison technique is the____________________ test.

Question 70

Explain how data entry is complicated with a within-subjects design,which calls for a repeated measures analysis.

Question 71

Explain how a factorial design is different from a one-way ANOVA.

Question 72

CART is an automatic interaction routine combining cross-classification and ____________________.

Question 73

Explain how planned comparisons are different from post-hoc comparisons.

Question 74

A factorial design involves interpretation of main effects and ____________________.

Question 75

A factorial design that is well-implemented is called a(n)____________________ experimental design.