Question 1

The between-treatments variability is the estimate of σ2 which is based on the variability due to chance.

Accepted Answer

A) True 
 B)False  False

Question 2

When using Fisher's least difference (LSD)method at some stated significance level α,the probability of committing a Type I error increases as the number of pairwise comparisons increases.

Accepted Answer

A) True 
 B)False  True

Question 3

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

Accepted Answer

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

Question 4

One-way ANOVA analyzes the effect of one factor on the population mean.It is based on a _______.

Accepted Answer

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

Question 5

A regional sales manager of a bank wants to know if the number of ATM transactions per day is different for four cities of equal size in the executive's region.The executive collects relevant data and obtains the following incomplete One-Way ANOVA table.   a.Complete the ANOVA table.
b.Set up the competing hypothesis to test whether there are differences in the mean number of ATM transactions per day between the different cities.
c.At the 5% significance level,what is the conclusion to the test?

Accepted Answer

General format of a One-Way ANOVA table:

Question 6

Tukey's HSD method uses _____ instead of _____ when compared to Fisher's LSD method for pairwise comparisons.

Accepted Answer

A)  t values;studentized range values 
B)  studentized range values;F values 
C)  F values;t values 
D)  studentized range values;t values 
A)  t values;studentized range values 
B)  studentized range values;F values 
C)  F values;t values 
D)  studentized range values;t values

Question 7

Consider the partially completed two-way ANOVA (with interaction)summary table.   The mean square error (MSE)is _____.

Accepted Answer

A)  21 
B)  43 
C)  32 
D)  26 
A)  21 
B)  43 
C)  32 
D)  26

Question 8

Which of the following is the correct formula for the sum of squares SSA for factor A ?

Accepted Answer

A)  SSA =   
B)  SSA =   
C)  SSA =   
D)  SSA =   
A)  SSA =   
B)  SSA =   
C)  SSA =   
D)  SSA =

Question 9

ANOVA is a statistical technique used to determine if differences exist between the means of two populations.

Accepted Answer

A) True 
 B)False

Question 10

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 conclusion for the hypothesis test about the interaction term is ______.

Accepted Answer

A)  do not reject the null hypothesis;there is no evidence of an interaction effect between major and problem type 
B)  reject the null hypothesis;there is no evidence of an interaction effect between major and problem type 
C)  reject the null hypothesis;there is evidence of an interaction effect between major and problem type 
D)  do not reject the null hypothesis;there is evidence of an interaction effect between major and problem type 
A)  do not reject the null hypothesis;there is no evidence of an interaction effect between major and problem type 
B)  reject the null hypothesis;there is no evidence of an interaction effect between major and problem type 
C)  reject the null hypothesis;there is evidence of an interaction effect between major and problem type 
D)  do not reject the null hypothesis;there is evidence of an interaction effect between major and problem type

Question 11

Consider the partially completed two-way ANOVA (with interaction)summary table.   The interaction test statistic is ____.

Accepted Answer

A)  3.16 
B)  4.80 
C)  2.56 
D)  0.75 
A)  3.16 
B)  4.80 
C)  2.56 
D)  0.75

Question 12

In a two-way ANOVA test,how many null hypotheses are tested?

Accepted Answer

A)  1 
B)  1 or 2 
C)  2 or 3 
D)  More than 3 
A)  1 
B)  1 or 2 
C)  2 or 3 
D)  More than 3

Question 13

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 grand mean for these observations is ________.

Accepted Answer

A)  7.2 
B)  8.0 
C)  8.9 
D)  9.3 
A)  7.2 
B)  8.0 
C)  8.9 
D)  9.3

Question 14

A fund manager suspects there is an interaction between fund market cap (either small,mid,or large)and the fund objective (either growth or value)on the average annual fund performance.The fund manager 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 market cap and objective?
c.Are you able to conduct tests on the main effects? If yes,conduct these tests at the 5% significance level.

Accepted Answer

a. @#IMG-DLM& Formulas for all fields are given in

Question 15

Consider the partially completed two-way ANOVA (without interaction)summary table.   Which of the following is the value of the test statistic for factor B?

Accepted Answer

A)  3.20 
B)  6.70 
C)  5.16 
D)  4.00 
A)  3.20 
B)  6.70 
C)  5.16 
D)  4.00

Question 16

Which of the following is the assumption that is not applicable for a one-way ANOVA test?

Accepted Answer

A)  The populations are normally distributed. 
B)  The population standard deviations are not all equal. 
C)  The samples are selected independently. 
D)  The sample is drawn at random from each population. 
A)  The populations are normally distributed. 
B)  The population standard deviations are not all equal. 
C)  The samples are selected independently. 
D)  The sample is drawn at random from each population.

Question 17

In general,blocks are the levels at which we hold an integral factor fixed,so that we can measure its contribution to the variation within the samples.

Accepted Answer

A) True 
 B)False

Question 18

Consider the partially completed two-way ANOVA (with interaction)summary table.   The mean square for interaction MSAB is _____.

Accepted Answer

A)  50 
B)  24 
C)  75 
D)  65 
A)  50 
B)  24 
C)  75 
D)  65

Question 19

If the interaction between two factors is not significant,the next tests to be done are ___________________.

Accepted Answer

A)  none,the analysis is complete 
B)  none,gather more data 
C)  tests about the population means of factor A or factor B using two-way ANOVA without interaction 
D)  Tukey's confidence intervals 
A)  none,the analysis is complete 
B)  none,gather more data 
C)  tests about the population means of factor A or factor B using two-way ANOVA without interaction 
D)  Tukey's confidence intervals

Question 20

A farmer plants tomato seeds into four different plots.In each plot,there is a different fertilizer treatment that is applied to the soil.After conducting the hypothesis test for the mean heights,he obtains Tukey's confidence intervals which are below.   Use Tukey's confidence intervals to determine which plots/fertilizers have different mean heights.

Accepted Answer

The decision rule is to reject the null

The between-treatments variability is the estimate of σ2 which is based on the variability due to chance.

When using Fisher's least difference (LSD)method at some stated significance level α,the probability of committing a Type I error increases as the number of pairwise comparisons increases.

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

One-way ANOVA analyzes the effect of one factor on the population mean.It is based on a _______.

Tukey's HSD method uses _ instead of _ when compared to Fisher's LSD method for pairwise comparisons.

Consider the partially completed two-way ANOVA (with interaction)summary table. The mean square error (MSE)is _____.

Which of the following is the correct formula for the sum of squares SSA for factor A ?

ANOVA is a statistical technique used to determine if differences exist between the means of two populations.

Consider the partially completed two-way ANOVA (with interaction)summary table. The interaction test statistic is ____.

In a two-way ANOVA test,how many null hypotheses are tested?

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 grand mean for these observations is ________.

Consider the partially completed two-way ANOVA (without interaction)summary table. Which of the following is the value of the test statistic for factor B?

Which of the following is the assumption that is not applicable for a one-way ANOVA test?

In general,blocks are the levels at which we hold an integral factor fixed,so that we can measure its contribution to the variation within the samples.

Consider the partially completed two-way ANOVA (with interaction)summary table. The mean square for interaction MSAB is _____.

If the interaction between two factors is not significant,the next tests to be done are ___________________.

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

The between-treatments variability is the estimate of σ2 which is based on the variability due to chance.

When using Fisher's least difference (LSD)method at some stated significance level α,the probability of committing a Type I error increases as the number of pairwise comparisons increases.

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

One-way ANOVA analyzes the effect of one factor on the population mean.It is based on a _______.

Tukey's HSD method uses _____ instead of _____ when compared to Fisher's LSD method for pairwise comparisons.

Consider the partially completed two-way ANOVA (with interaction)summary table. The mean square error (MSE)is _____.

Which of the following is the correct formula for the sum of squares SSA for factor A ?

ANOVA is a statistical technique used to determine if differences exist between the means of two populations.

Consider the partially completed two-way ANOVA (with interaction)summary table. The interaction test statistic is ____.

In a two-way ANOVA test,how many null hypotheses are tested?

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 grand mean for these observations is ________.

Consider the partially completed two-way ANOVA (without interaction)summary table. Which of the following is the value of the test statistic for factor B?

Which of the following is the assumption that is not applicable for a one-way ANOVA test?

In general,blocks are the levels at which we hold an integral factor fixed,so that we can measure its contribution to the variation within the samples.

Consider the partially completed two-way ANOVA (with interaction)summary table. The mean square for interaction MSAB is _____.

If the interaction between two factors is not significant,the next tests to be done are ___________________.

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

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

Tukey's HSD method uses _ instead of _ when compared to Fisher's LSD method for pairwise comparisons.