Question 1

When two factors interact,the effect of one factor on the population mean depends upon the specific value or level present for the other factor.

Accepted Answer

A) True 
 B)False

Question 2

If units with each block are randomly assigned to each of the treatments,then the design of the experiment is referred to as a _______________________.

Accepted Answer

A)  factorial design 
B)  completely randomized design 
C)  randomized block design 
D)  balanced incomplete block design 
A)  factorial design 
B)  completely randomized design 
C)  randomized block design 
D)  balanced incomplete block design

Question 3

Which of the following is the Fisher's 100(1 - α)% confidence interval for the difference between two population means μi - μj?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

A career counselor wants to determine if there is an interaction between gender (male or female)and sector (private or public)on average weekly income.The counselor obtains data and produces the following incomplete two-way ANOVA table.   a.Complete the ANOVA table.
b.At the 5% significance level,can you conclude there is interaction between gender and sector?
c.Are you able to conduct tests on the main effects? If yes,conduct these tests at the 5% significance level.
d.Why is a two-way ANOVA (with or without interaction)preferable to two two-sample T-tests in this situation?

Accepted Answer

General format of a two-way ANOVA table

Question 5

AutoTrader.com would like to test if a difference exists in the age of three different types of vehicles currently on the road: trucks,cars,and vans.The following data represent the age of a random sample of trucks,cars,and vans.   The sum of squares within SSE for these observations is ________.

Accepted Answer

A)  22.4 
B)  20.5 
C)  41.8 
D)  30.0 
A)  22.4 
B)  20.5 
C)  41.8 
D)  30.0

Question 6

Psychology students want to determine if there are differences between the ability of business majors and science majors to solve various types of analytic problems.They conduct an experiment and record the amount of time it takes to complete each analytic problem.The following Two-Way ANOVA table summarizes their findings.   The number of different analytic problems the students solved is _____.

Accepted Answer

A)  1 
B)  2 
C)  4 
D)  5 
A)  1 
B)  2 
C)  4 
D)  5

Question 7

The variability due to chance,also known as within-treatments variability,is the estimate of σ2 which is based on the _____________.

Accepted Answer

A)  variability of the data across different samples 
B)  consistency of the data within each sample 
C)  variability of the data within each sample 
D)  reliability of the data within each sample 
A)  variability of the data across different samples 
B)  consistency of the data within each sample 
C)  variability of the data within each sample 
D)  reliability of the data within each sample

Question 8

Between-treatments variability is based on a weighted sum of squared differences between the ____________________________________________________.

Accepted Answer

A)  population variances and the overall mean of the data set 
B)  sample means and the overall mean of the data set 
C)  sample variances and the overall mean of the data set 
D)  population means and the overall mean of the data set 
A)  population variances and the overall mean of the data set 
B)  sample means and the overall mean of the data set 
C)  sample variances and the overall mean of the data set 
D)  population means and the overall mean of the data set

Question 9

When using Fisher's LSD method at some stated significance level,the probability of committing a Type I error increases as the number of _________________________.

Accepted Answer

A)  pairwise comparisons decreases 
B)  pairwise comparisons increases 
C)  sample size increases 
D)  treatments decreases 
A)  pairwise comparisons decreases 
B)  pairwise comparisons increases 
C)  sample size increases 
D)  treatments decreases

Question 10

Consider the partially completed two-way ANOVA (without interaction)summary table.   The mean square for factor A is ______.

Accepted Answer

A)  200 
B)  410 
C)  160 
D)  50 
A)  200 
B)  410 
C)  160 
D)  50

Question 11

Which of the following is the correct interpretation of the Fisher's 100(1 - α)% confidence interval for μi - μj?

Accepted Answer

A)  If the interval includes the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected for at α level of significance. 
B)  If the interval does not include the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected at 100(1 - α)% level of significance. 
C)  If the interval does not include the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected at α level of significance. 
D)  If the interval includes the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected at 100(1 - α)% level of significance. 
A)  If the interval includes the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected for at α level of significance. 
B)  If the interval does not include the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected at 100(1 - α)% level of significance. 
C)  If the interval does not include the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected at α level of significance. 
D)  If the interval includes the value zero,the null hypothesis,that H0: μi - μj = 0,is rejected at 100(1 - α)% level of significance.

Question 12

A career counselor wants to understand if the average salary differs by educational attainment blocking on industry.The counselor uses four degree levels (high school,undergraduate,master's,and doctoral)and three industries.The study resulted in the following incomplete ANOVA table.   a.Complete the ANOVA table.
b.At the 5% significance level,can you conclude the average salary differs by educational attainment?
c.At the 5% significance level,can you conclude the average salary differs by industry?

Accepted Answer

General format of a two-way ANOVA table

Question 13

When the null hypothesis is rejected in an ANOVA test,Fisher's least significant difference method is superior to Tukey's honestly significant differences method to determine which population means differ.

Accepted Answer

A) True 
 B)False

Question 14

One of the disadvantages of Fisher's LSD method is that the probability of committing a _____________________________________________________________.

Accepted Answer

A)  Type II error increases as the number of pairwise comparisons increases 
B)  Type I error increases as the number of pairwise comparisons decreases 
C)  Type II error increases as the number of pairwise comparisons decreases 
D)  Type I error increases as the number of pairwise comparisons increases 
A)  Type II error increases as the number of pairwise comparisons increases 
B)  Type I error increases as the number of pairwise comparisons decreases 
C)  Type II error increases as the number of pairwise comparisons decreases 
D)  Type I error increases as the number of pairwise comparisons increases

Question 15

Fisher's LSD method is applied when the _________________

Accepted Answer

A)  ANOVA test has not rejected the null hypothesis of equal population means. 
B)  ANOVA test has rejected the null hypothesis of equal population means. 
C)  two-sample t test is not applicable. 
D)  None of these choices is correct. 
A)  ANOVA test has not rejected the null hypothesis of equal population means. 
B)  ANOVA test has rejected the null hypothesis of equal population means. 
C)  two-sample t test is not applicable. 
D)  None of these choices is correct.

Question 16

A research firm wants to compare the miles per gallon (mpg)for three different types of gasoline.To control for the performance of different types of cars,seven types of cars were used as the blocks.The study yielded the below as the following incomplete two-way ANOVA table.   a.Complete the ANOVA table.
b.At the 5% significance level,can you conclude if the average mpg differs by gas type?
c.At the 5% significance level,can you conclude if the average mpg differs by car type?

Accepted Answer

General format of a two-way ANOVA table

Question 17

Tukey's 100(1 −α)% confidence interval for the difference between two population means μi - μj for unbalanced data is given by ____________________.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Which of the following is a correct formula for the sum of squares due to treatments?

Accepted Answer

A)  SSTR =   
B)  SSTR =   
C)  SSTR =   
D)  SSTR =   
A)  SSTR =   
B)  SSTR =   
C)  SSTR =   
D)  SSTR =

Question 19

Psychology students want to determine if there are differences between the ability of business majors and science majors to solve various types of analytic problems.They conduct an experiment and record the amount of time it takes to complete each analytic problem.The following two-way ANOVA table summarizes their findings.   At the 5% significance level,the critical value for the test about the interaction is less than ______.

Accepted Answer

A)  2.14 
B)  2.69 
C)  2.25 
D)  2.51 
A)  2.14 
B)  2.69 
C)  2.25 
D)  2.51

Question 20

Consider the partially completed two-way ANOVA (without interaction)summary table.   The sum of squares for factor A is ______.

Accepted Answer

A)  930 
B)  800 
C)  1,150 
D)  980 
A)  930 
B)  800 
C)  1,150 
D)  980

When two factors interact,the effect of one factor on the population mean depends upon the specific value or level present for the other factor.

If units with each block are randomly assigned to each of the treatments,then the design of the experiment is referred to as a _______________________.

Which of the following is the Fisher's 100(1 - α)% confidence interval for the difference between two population means μ_i - μ_j?

AutoTrader.com would like to test if a difference exists in the age of three different types of vehicles currently on the road: trucks,cars,and vans.The following data represent the age of a random sample of trucks,cars,and vans. The sum of squares within SSE for these observations is ________.

The variability due to chance,also known as within-treatments variability,is the estimate of σ² which is based on the _____________.

Between-treatments variability is based on a weighted sum of squared differences between the ____________________________________________________.

When using Fisher's LSD method at some stated significance level,the probability of committing a Type I error increases as the number of _________________________.

Consider the partially completed two-way ANOVA (without interaction)summary table. The mean square for factor A is ______.

Which of the following is the correct interpretation of the Fisher's 100(1 - α)% confidence interval for μ_i - μ_j?

When the null hypothesis is rejected in an ANOVA test,Fisher's least significant difference method is superior to Tukey's honestly significant differences method to determine which population means differ.

One of the disadvantages of Fisher's LSD method is that the probability of committing a _____________________________________________________________.

Fisher's LSD method is applied when the _________________

Tukey's 100(1 −α)% confidence interval for the difference between two population means μ_i - μ_j for unbalanced data is given by ____________________.

Which of the following is a correct formula for the sum of squares due to treatments?

Consider the partially completed two-way ANOVA (without interaction)summary table. The sum of squares for factor A is ______.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Basic Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Exam 13: Analysis of Variance

When two factors interact,the effect of one factor on the population mean depends upon the specific value or level present for the other factor.

If units with each block are randomly assigned to each of the treatments,then the design of the experiment is referred to as a _______________________.

Which of the following is the Fisher's 100(1 - α)% confidence interval for the difference between two population means μi - μj?

AutoTrader.com would like to test if a difference exists in the age of three different types of vehicles currently on the road: trucks,cars,and vans.The following data represent the age of a random sample of trucks,cars,and vans. The sum of squares within SSE for these observations is ________.

The variability due to chance,also known as within-treatments variability,is the estimate of σ2 which is based on the _____________.

Between-treatments variability is based on a weighted sum of squared differences between the ____________________________________________________.

When using Fisher's LSD method at some stated significance level,the probability of committing a Type I error increases as the number of _________________________.

Consider the partially completed two-way ANOVA (without interaction)summary table. The mean square for factor A is ______.

Which of the following is the correct interpretation of the Fisher's 100(1 - α)% confidence interval for μi - μj?

When the null hypothesis is rejected in an ANOVA test,Fisher's least significant difference method is superior to Tukey's honestly significant differences method to determine which population means differ.

One of the disadvantages of Fisher's LSD method is that the probability of committing a _____________________________________________________________.

Fisher's LSD method is applied when the _________________

Tukey's 100(1 −α)% confidence interval for the difference between two population means μi - μj for unbalanced data is given by ____________________.

Which of the following is a correct formula for the sum of squares due to treatments?

Consider the partially completed two-way ANOVA (without interaction)summary table. The sum of squares for factor A is ______.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Basic Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Which of the following is the Fisher's 100(1 - α)% confidence interval for the difference between two population means μ_i - μ_j?

The variability due to chance,also known as within-treatments variability,is the estimate of σ² which is based on the _____________.

Which of the following is the correct interpretation of the Fisher's 100(1 - α)% confidence interval for μ_i - μ_j?

Tukey's 100(1 −α)% confidence interval for the difference between two population means μ_i - μ_j for unbalanced data is given by ____________________.