Question 1

Which of the following is the pooled estimate of the common population variance for Fisher's test?

Accepted Answer

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

Question 2

Tukey's honestly significant differences (HSD)method ensures that the probability of a Type I error remains fixed irrespective of the number of ________________.

Accepted Answer

A)  pairwise comparisons 
B)  treatments 
C)  replications within each treatment 
D)  replications for each combination of factor A and factor B 
A)  pairwise comparisons 
B)  treatments 
C)  replications within each treatment 
D)  replications for each combination of factor A and factor B

Question 3

If the amount of variability between treatments is significantly greater than the amount of variability within treatments,then _________.

Accepted Answer

A)  reject the null hypothesis of equal population means 
B)  do not reject the null hypothesis of equal population means 
C)  conclude that the ratio of between-treatments variability to within-treatments variability is significantly less than 1 
D)  perform further analysis using the two-way ANOVA with interaction 
A)  reject the null hypothesis of equal population means 
B)  do not reject the null hypothesis of equal population means 
C)  conclude that the ratio of between-treatments variability to within-treatments variability is significantly less than 1 
D)  perform further analysis using the two-way ANOVA with interaction

Question 4

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 three weeks,he measures the height of each tomato plant from each of the four plots.The data he collects is given below.   a.Construct an ANOVA table.
b.Set up the competing hypothesis to test whether there are some differences in the mean heights between the different plots/fertilizers.
c.At the 5% significance level,what is the conclusion to the test?
d.Consider the sample standard deviations for each plot.Which of the assumptions might be violated?

Accepted Answer

The general format of a One-Way ANOVA ta

Question 5

One-way ANOVA analyzes the effect of one factor on the population mean and it is based on a completely randomized design.

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

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.   For the hypothesis test about the interaction term,the p-value is ______________.

Accepted Answer

A)  less than 0.01 
B)  between 0.01 and 0.025 
C)  between 0.025 and 0.05 
D)  greater than 0.05 
A)  less than 0.01 
B)  between 0.01 and 0.025 
C)  between 0.025 and 0.05 
D)  greater than 0.05

Question 8

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 mean square for treatments MSTR for these observations is ________.

Accepted Answer

A)  2.0 
B)  4.7 
C)  16.0 
D)  12.5 
A)  2.0 
B)  4.7 
C)  16.0 
D)  12.5

Question 9

The interaction test is performed before making any conclusions based on the tests for the main effects.

Accepted Answer

A) True 
 B)False

Question 10

Which of the following is a correct formula for the error sum of squares?

Accepted Answer

A)  SSE =   
B)  SSE =   
C)  SSE =   
D)  SSE =   
A)  SSE =   
B)  SSE =   
C)  SSE =   
D)  SSE =

Question 11

A career counselor wants to understand if the average annual earnings differ by educational attainment.The counselor uses three education levels: high school or less,undergraduate degree,and master's degree or more.After collecting data,the resulting incomplete one-way ANOVA table and Tukey's confidence intervals are shown below.     a.Complete the ANOVA table.
b.Set up the competing hypothesis to test whether there are differences in mean annual salary between the different education levels.
c.At the 5% significance level,what is the conclusion to the test?
d.If significant differences exist,use Tukey's confidence intervals to determine which educational levels have different mean annual earnings.

Accepted Answer

The general format of a One-Way ANOVA ta

Question 12

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples.

Accepted Answer

A) True 
 B)False

Question 13

Which of the following is the correct degrees of freedom when computing MSE?

Accepted Answer

A)  nT - c - r + 1 
B)  nT - 1 
C)  (c - 1)(r - 1) 
D)  cr(w - 1) 
A)  nT - c - r + 1 
B)  nT - 1 
C)  (c - 1)(r - 1) 
D)  cr(w - 1)

Question 14

Which of the following is a correct formula for the test statistic for a one-way ANOVA test?

Accepted Answer

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

Question 15

If there are five treatments under study,the number of pairwise comparisons is _______.

Accepted Answer

A)  15 
B)  5 
C)  20 
D)  10 
A)  15 
B)  5 
C)  20 
D)  10

Question 16

Consider the partially completed two-way ANOVA (with interaction)summary table.   The degrees of freedom for the interaction of factors A and B is _____.

Accepted Answer

A)  6 
B)  4 
C)  3 
D)  5 
A)  6 
B)  4 
C)  3 
D)  5

Question 17

Which of the following formulas is used to compute the grand mean?

Accepted Answer

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

Question 18

Which of the following is the correct formula for the error sum of squares SSE?

Accepted Answer

A)  SSE = SST - (SSA + SSB + SSA
B)  
B)  SSE = SST - (SSA - SS
B)  
C)  SSE = SST + SSA + SSB 
D)  SSE = SST - (SSA + SS
B)  
A)  SSE = SST - (SSA + SSB + SSA
B)  
B)  SSE = SST - (SSA - SS
B)  
C)  SSE = SST + SSA + SSB 
D)  SSE = SST - (SSA + SS
B)

Which of the following is the pooled estimate of the common population variance for Fisher's test?

Tukey's honestly significant differences (HSD)method ensures that the probability of a Type I error remains fixed irrespective of the number of ________________.

If the amount of variability between treatments is significantly greater than the amount of variability within treatments,then _________.

One-way ANOVA analyzes the effect of one factor on the population mean and it is based on a completely randomized design.

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

The interaction test is performed before making any conclusions based on the tests for the main effects.

Which of the following is a correct formula for the error sum of squares?

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples.

Which of the following is the correct degrees of freedom when computing MSE?

Which of the following is a correct formula for the test statistic for a one-way ANOVA test?

If there are five treatments under study,the number of pairwise comparisons is _______.

Consider the partially completed two-way ANOVA (with interaction)summary table. The degrees of freedom for the interaction of factors A and B is _____.

Which of the following formulas is used to compute the grand mean?

Which of the following is the correct formula for the error sum of squares SSE?

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

Which of the following is the pooled estimate of the common population variance for Fisher's test?

Tukey's honestly significant differences (HSD)method ensures that the probability of a Type I error remains fixed irrespective of the number of ________________.

If the amount of variability between treatments is significantly greater than the amount of variability within treatments,then _________.

One-way ANOVA analyzes the effect of one factor on the population mean and it is based on a completely randomized design.

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

The interaction test is performed before making any conclusions based on the tests for the main effects.

Which of the following is a correct formula for the error sum of squares?

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples.

Which of the following is the correct degrees of freedom when computing MSE?

Which of the following is a correct formula for the test statistic for a one-way ANOVA test?

If there are five treatments under study,the number of pairwise comparisons is _______.

Consider the partially completed two-way ANOVA (with interaction)summary table. The degrees of freedom for the interaction of factors A and B is _____.

Which of the following formulas is used to compute the grand mean?

Which of the following is the correct formula for the error sum of squares SSE?

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