Question 1

A significant interaction becomes a matter of concern

Accepted Answer

A)  when at least one main effect is significant 
B)  when both main effects are significant 
C)  when neither main effect is significant 
D)  under any of the above conditions 
A)  when at least one main effect is significant 
B)  when both main effects are significant 
C)  when neither main effect is significant 
D)  under any of the above conditions D

Question 2

A  2*3    ANOVA is performed. The following is a partial list of the df's: 
   
 What is the value of

Accepted Answer

A)  33 
B)  35 
C)  37 
D)  31 
A)  33 
B)  35 
C)  37 
D)  31 B

Question 3

In two-factor analysis of variance, the numerator of the F test is

Accepted Answer

A)    
B)    
C)    depending on the test to be made 
D)    depending on the test to be made 
A)    
B)    
C)    depending on the test to be made 
D)    depending on the test to be made D

Question 4

Both main effects in a two-factor ANOVA turn out to be nonsignificant. Does this mean that the sample results showed no effects of the two factors beyond those expected by chance?

Accepted Answer

A)  yes 
B)  no, if interaction is significant 
C)  no, if interaction is also insignificant 
D)  yes, if interaction is significant 
A)  yes 
B)  no, if interaction is significant 
C)  no, if interaction is also insignificant 
D)  yes, if interaction is significant

Question 5

An experiment employing a 2*2
 design is performed. The raw scores are shown in the table below. What is the value of SST (raw score formula not necessary)?

Accepted Answer

A)  2 
B)  6 
C)  4 
D)  8 
A)  2 
B)  6 
C)  4 
D)  8

Question 6

Thirty words are flashed on a screen, one at a time, under various combinations of type style (A, B, and C) and exposure time (60 milliseconds and 120 milliseconds). Two randomly assigned participants are used in each cell (considerably more participants would be required for a practical study). The results, given below, are numbers of words correctly recognized. 
(a) Compute   and   for each cell and display these values in a table. 
(b) Proceed to obtain

(c) Compute the variance estimates; perform the three F tests at   and   and draw statistical conclusions. Display your results in a summary analysis of variance table. 
(d) Construct a table showing cell and marginal means. Considering the F-test results, which means would be of interest? Why? Draw final conclusions concerning the treatment variables.

Accepted Answer

(a) Check cell sums 
 @#IMG-DLM& 
 to se

Question 7

In terms of the two-way table layout for two-factor ANOVA, interaction is concerned solely with

Accepted Answer

A)  marginal means 
B)  cell means 
C)  grand means 
D)  differences between marginal means and grand means 
A)  marginal means 
B)  cell means 
C)  grand means 
D)  differences between marginal means and grand means

Question 8

A human factors psychologist investigates which of two simulators (P and Q) results in improved task performance. Eight participants are randomly assigned to one of the two simulators and each participant's performance score is measured across five trials.

The performance scores are given below (normally far more cases would be used in an actual study). 
(a) Compute the appropriate variance estimates; complete the F tests at    and draw statistical conclusions. Show your results in a summary analysis of variance table 
(b) Construct a graph of the cell means. Draw final conclusions.

Accepted Answer

(a)
 @#IMG-DLM& (b)
 @#IMG-DLM& There is a main effect for t

Question 9

In terms of the two-way table layout for two-factor ANOVA, main effects are concerned solely with

Accepted Answer

A)  marginal means 
B)  cell means 
C)  grand means 
D)  differences between marginal and cell means. 
A)  marginal means 
B)  cell means 
C)  grand means 
D)  differences between marginal and cell means.

Question 10

In studying the outcome of a two-way ANOVA for which one or more F's turn out to be significant, one should always

Accepted Answer

A)  perform Tukey's HSD test 
B)  examine the various sample means 
C)  perform a planned comparison test 
D)  do all of the above 
A)  perform Tukey's HSD test 
B)  examine the various sample means 
C)  perform a planned comparison test 
D)  do all of the above

Question 11

The finding of a significant main effect in two-way analysis of variance may not be open to straight-forward interpretation when

Accepted Answer

A)  there is a significant interaction effect 
B)  one main effect is significant but the other is not 
C)  both main effects are significant 
D)  sample size is small 
A)  there is a significant interaction effect 
B)  one main effect is significant but the other is not 
C)  both main effects are significant 
D)  sample size is small

Question 12

Suppose, in a two-way analysis of variance, based on 15 cases per cell, the indicated cell means were observed. We might expect to find that

Accepted Answer

A)  there will be a significant main effect for factor 1 
B)  there will be a significant main effect for factor 2 
C)  there will be significant degree of interaction 
D)  all of the above are true 
A)  there will be a significant main effect for factor 1 
B)  there will be a significant main effect for factor 2 
C)  there will be significant degree of interaction 
D)  all of the above are true

Question 13

In a study investigating the effects of four different training techniques (Training) on job knowledge, twenty-four employees were divided evenly into four groups. Each group was assigned a particular type of training and each employee was measured on a knowledge test on three successive days (Trials) of training. The F-test on the Training factor is comparable to which of the following?

Accepted Answer

A)  A two-dependent sample t-test. 
B)  A two-independent sample t-test. 
C)  A one-way ANOVA with dependent groups. 
D)  A one-way ANOVA with independent groups. 
A)  A two-dependent sample t-test. 
B)  A two-independent sample t-test. 
C)  A one-way ANOVA with dependent groups. 
D)  A one-way ANOVA with independent groups.

Question 14

A two-factor ANOVA gives the following results:   
 What is the value of SSWC?

Accepted Answer

A)  25 
B)  20 
C)  35 
D)  15 
A)  25 
B)  20 
C)  35 
D)  15

Question 15

A 3*2   factorial ANOVA gives the following results: 
  
 What is the value of SSR×C?

Accepted Answer

A)  12 
B)  8 
C)  4 
D)  6 
A)  12 
B)  8 
C)  4 
D)  6

Question 16

Which is not an advantage of two-factor analysis of variance?

Accepted Answer

A)  The number of cases required to answer the questions is less than if the questions had been asked in separate experiments. 
B)  Interaction between two Factors may be more easily studied. 
C)  Better experimental control of extraneous variables can be achieved than in a simple experiment. 
D)  Conclusions regarding the effect of a particular factor apply with wider generality than they would in a simple experiment. 
A)  The number of cases required to answer the questions is less than if the questions had been asked in separate experiments. 
B)  Interaction between two Factors may be more easily studied. 
C)  Better experimental control of extraneous variables can be achieved than in a simple experiment. 
D)  Conclusions regarding the effect of a particular factor apply with wider generality than they would in a simple experiment.

Question 17

A main effect is most precisely described as a(n)

Accepted Answer

A)  primary effect 
B)  average effect 
C)  major effect 
D)  total effect 
A)  primary effect 
B)  average effect 
C)  major effect 
D)  total effect

Question 18

In two-factor analysis of variance, ____________ corresponds most closely to the within-groups variance estimate in one-way analysis of variance.

Accepted Answer

A)  SS1U1B1CS1U1B0S1U1P12S1S1P0 
B)  SS1U1B1RS1U1B0S1U1P12S1S1P0 
C)  S S1U1B1R*CS1U1B0S1U1P12S1S1P0 
D)  SS1U1B1WCS1U1B0S1U1P12S1S1P0 
A)  SS1U1B1CS1U1B0S1U1P12S1S1P0 
B)  SS1U1B1RS1U1B0S1U1P12S1S1P0 
C)  S S1U1B1R*CS1U1B0S1U1P12S1S1P0 
D)  SS1U1B1WCS1U1B0S1U1P12S1S1P0

Question 19

In a study investigating the effects of three different diets (Diet) on physical abilities, twelve participants were divided evenly into three groups. Each group was assigned a particular diet and each participant was measured on a physical ability test on seven consecutive days (Trials). What are the appropriate denominator degrees of freedom for the F-test on the Diet × Trials interaction?

Accepted Answer

A)  2 
B)  6 
C)  12 
D)  54 
A)  2 
B)  6 
C)  12 
D)  54

Question 20

Suppose, in a two-way analysis of variance, based on 15 cases per cell, the indicated cell means were observed. We might expect to find that there will be a significant

Accepted Answer

A)  main effect for factor 1 
B)  main effect for factor 2 
C)  main effect for factor 1 and factor 2 
D)  interaction effect 
A)  main effect for factor 1 
B)  main effect for factor 2 
C)  main effect for factor 1 and factor 2 
D)  interaction effect

A significant interaction becomes a matter of concern

A 2*3 ANOVA is performed. The following is a partial list of the df's: What is the value of

In two-factor analysis of variance, the numerator of the F test is

Both main effects in a two-factor ANOVA turn out to be nonsignificant. Does this mean that the sample results showed no effects of the two factors beyond those expected by chance?

An experiment employing a 2*2 design is performed. The raw scores are shown in the table below. What is the value of SS_T (raw score formula not necessary)?

In terms of the two-way table layout for two-factor ANOVA, interaction is concerned solely with

In terms of the two-way table layout for two-factor ANOVA, main effects are concerned solely with

In studying the outcome of a two-way ANOVA for which one or more F's turn out to be significant, one should always

The finding of a significant main effect in two-way analysis of variance may not be open to straight-forward interpretation when

Suppose, in a two-way analysis of variance, based on 15 cases per cell, the indicated cell means were observed. We might expect to find that

A two-factor ANOVA gives the following results: What is the value of SS_WC?

A 3*2 factorial ANOVA gives the following results: What is the value of SS_R×C?

Which is not an advantage of two-factor analysis of variance?

A main effect is most precisely described as a(n)

In two-factor analysis of variance, ____________ corresponds most closely to the within-groups variance estimate in one-way analysis of variance.

Suppose, in a two-way analysis of variance, based on 15 cases per cell, the indicated cell means were observed. We might expect to find that there will be a significant

Introduction

Frequency Distributions, Percentiles,

Graphic Representation of Frequency Distributions

Central Tendency

Variability and Standard Z Scores

Standard Scores and the Normal Curve

Correlation

Prediction

Interpretive Aspects of Correlation and Regression

Probability

Random Sampling and Sampling Distributions

Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power

Testing Hypotheses About the Difference Between Two Independent Groups

Testing for a Difference

Inference About Correlation Coefficients

An Alternative to Hypothesis Testing: Confidence Intervals

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

Chi-Square and Inference About Frequencies

Some Almost Assumption-Free Tests

Filters

Exam 19: Factorial Analysis of Variance

A significant interaction becomes a matter of concern

A 2*3 ANOVA is performed. The following is a partial list of the df's: What is the value of

In two-factor analysis of variance, the numerator of the F test is

Both main effects in a two-factor ANOVA turn out to be nonsignificant. Does this mean that the sample results showed no effects of the two factors beyond those expected by chance?

An experiment employing a 2*2 design is performed. The raw scores are shown in the table below. What is the value of SST (raw score formula not necessary)?

In terms of the two-way table layout for two-factor ANOVA, interaction is concerned solely with

In terms of the two-way table layout for two-factor ANOVA, main effects are concerned solely with

In studying the outcome of a two-way ANOVA for which one or more F's turn out to be significant, one should always

The finding of a significant main effect in two-way analysis of variance may not be open to straight-forward interpretation when

Suppose, in a two-way analysis of variance, based on 15 cases per cell, the indicated cell means were observed. We might expect to find that

A two-factor ANOVA gives the following results: What is the value of SSWC?

A 3*2 factorial ANOVA gives the following results: What is the value of SSR×C?

Which is not an advantage of two-factor analysis of variance?

A main effect is most precisely described as a(n)

In two-factor analysis of variance, ____________ corresponds most closely to the within-groups variance estimate in one-way analysis of variance.

Suppose, in a two-way analysis of variance, based on 15 cases per cell, the indicated cell means were observed. We might expect to find that there will be a significant

Introduction

Frequency Distributions, Percentiles,

Graphic Representation of Frequency Distributions

Central Tendency

Variability and Standard Z Scores

Standard Scores and the Normal Curve

Correlation

Prediction

Interpretive Aspects of Correlation and Regression

Probability

Random Sampling and Sampling Distributions

Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power

Testing Hypotheses About the Difference Between Two Independent Groups

Testing for a Difference

Inference About Correlation Coefficients

An Alternative to Hypothesis Testing: Confidence Intervals

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives

Chi-Square and Inference About Frequencies

Some Almost Assumption-Free Tests

Filters

An experiment employing a 2*2 design is performed. The raw scores are shown in the table below. What is the value of SS_T (raw score formula not necessary)?

A two-factor ANOVA gives the following results: What is the value of SS_WC?

A 3*2 factorial ANOVA gives the following results: What is the value of SS_R×C?