Question 1

Which of the following is true of Tukey's Multiple Comparison Method?

Accepted Answer

A) It is based on the studentized range statistic to obtain the critical value needed to construct individual confidence intervals. 
B) It theoretically requires that all sample sizes be equal,or at least similar. 
C) It is more powerful than the LSD method. 
D) All of these choices are true. 
A) It is based on the studentized range statistic to obtain the critical value needed to construct individual confidence intervals. 
B) It theoretically requires that all sample sizes be equal,or at least similar. 
C) It is more powerful than the LSD method. 
D) All of these choices are true.

Question 2

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

Accepted Answer

A) True 
 B)False

Question 3

The null hypothesis of ANOVA is that all the population means are ____________________.

Accepted Answer

The answer of The null hypothesis of ANOVA is that...

Question 4

The sum of squares for error is also known as the between-treatments variation.

Accepted Answer

A) True 
 B)False

Question 5

In a completely randomized design for ANOVA,the numerator and denominator degrees of freedom are 4 and 25,respectively.The total number of observations must equal:

Accepted Answer

A) 24 
B) 25 
C) 29 
D) 30 
A) 24 
B) 25 
C) 29 
D) 30

Question 6

Migraine Treatments
 The following data were generated from a 2 × 2 factorial experiment with 3 replicates,where factor A levels represent two different injection procedures of an anesthetic to the occipital nerve (located in the back of the neck),and factor B levels represent two different drugs,which physicians recommend to increase the effectiveness of the injections.Three migraine patients were randomly selected for each combination of injection and drug.   ​ ​
-{Migraine Treatments Narrative} Test at the 5% significance level to determine if differences exist among the four treatment means.

Accepted Answer

@#IMG-DLM& H₀: μ₁ = μ₂ = μ₃ = μ₄ vs.H₁: At l

Question 7

Acid Reflux
 A partial ANOVA table in a randomized block design is shown below,where the treatments refer to different acid reflux medicines,and the blocks refer to groups of men with similar levels of stomach acid.   ​ ​
-{Acid Reflux Narrative} Can we infer at the 5% significance level that the block means differ?

Accepted Answer

H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ₆ = μ₇ vs.H₁: At le

Question 8

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29.The degrees of freedom for the numerator and denominator are 5 and 10,respectively.Using an F table,the most accurate statements to be made about the p-value is that it is:

Accepted Answer

A) greater than 0.05 
B) between 0.001 and 0.010. 
C) between 0.010 and 0.025. 
D) between 0.025 and 0.050. 
A) greater than 0.05 
B) between 0.001 and 0.010. 
C) between 0.010 and 0.025. 
D) between 0.025 and 0.050.

Question 9

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

Accepted Answer

A) True 
 B)False

Question 10

In a two-factor ANOVA,always test for interaction last.

Accepted Answer

A) True 
 B)False

Question 11

In one-way analysis of variance,between-treatments variation is measured by the:

Accepted Answer

A) SSE 
B) SS(Total) 
C) SST 
D) standard deviation 
A) SSE 
B) SS(Total) 
C) SST 
D) standard deviation

Question 12

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples,the degrees of freedom for treatments is given by:

Accepted Answer

A) n − k 
B) k − 1 
C) n − 1 
D) n − k + 1 
A) n − k 
B) k − 1 
C) n − 1 
D) n − k + 1

Question 13

Arthritis Pain Formulas
 A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain.Their laboratories have produced three different medications and they want to determine if the different medications produce different responses.Fifteen people who complained of arthritis pains were recruited for an experiment; five were randomly assigned to each medication.Each person was asked to take the medicine and report the length of time until some relief was felt (minutes).The results are shown below. (Assume normal distributions with equal variances.)   ​ ​
-{Arthritis Pain Formulas Narrative} Do these data provide sufficient evidence to indicate that differences in the average time of relief exist among the three medications? Use α = 0.05.

Accepted Answer

H₀: μ₁ = μ₂ = μ₃ vs.H₁: At least tw

Question 14

In a(n)____________________ factorial experiment,data for all possible combinations of the levels of the factors are gathered.

Accepted Answer

The answer of In a(n)____________________ factorial experiment,data for all possible...

Question 15

SSE in the independent samples design is equal to the sum of SS____________________ and SS____________________ in the randomized block design.

Accepted Answer

The answer of SSE in the independent samples design is...

Question 16

____________________ multiple comparison method is based on the Studentized range statistic.

Accepted Answer

The answer of ____________________ multiple comparison method is based on...

Question 17

The average cost of remodeling one room in a house was compared for four different remodeling companies.A random sample of 10 rooms remodeled by each company were selected all with the same square footage,and cost of remodeling each room was recorded.(Rooms were randomly chosen from different houses.)The data are shown below.An F-test using ANOVA concluded that average costs differ for at least two of the remodeling companies.   Use Tukey's and LSD multiple comparison methods to determine which remodeling companies differ in their average cost.Compare the results and discuss.(Keep the experimentwise Type I error at or close to 5%.)

Accepted Answer

Computer output showing Tukey's analysis

Question 18

Keyboard Configuration and Size
 The data shown below were taken from a 2 × 3 factorial experiment to examine the effects of factor A (keyboard configuration,3 levels)and factor B (keyboard size,2 levels)on typing speed.Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes).   ​ ​
-{Keyboard Configuration and Size Narrative} Test at the 5% significance level to determine if time differences exist among the keyboard sizes.

Accepted Answer

H₀: No difference in means among the two

Question 19

A(n)____________________ experiment requires that the sample size for each treatment be equal.

Accepted Answer

The answer of A(n)____________________ experiment requires that the sample size...

Question 20

The within-treatments variation provides a measure of the amount of variation in the response variables that is caused by the treatments.

Accepted Answer

A) True 
 B)False

Which of the following is true of Tukey's Multiple Comparison Method?

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

The null hypothesis of ANOVA is that all the population means are ____________________.

The sum of squares for error is also known as the between-treatments variation.

In a completely randomized design for ANOVA,the numerator and denominator degrees of freedom are 4 and 25,respectively.The total number of observations must equal:

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29.The degrees of freedom for the numerator and denominator are 5 and 10,respectively.Using an F table,the most accurate statements to be made about the p-value is that it is:

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

In a two-factor ANOVA,always test for interaction last.

In one-way analysis of variance,between-treatments variation is measured by the:

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples,the degrees of freedom for treatments is given by:

In a(n)____________________ factorial experiment,data for all possible combinations of the levels of the factors are gathered.

SSE in the independent samples design is equal to the sum of SS and SS in the randomized block design.

____________________ multiple comparison method is based on the Studentized range statistic.

A(n)____________________ experiment requires that the sample size for each treatment be equal.

The within-treatments variation provides a measure of the amount of variation in the response variables that is caused by the treatments.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 14: Analysis of Variance

Which of the following is true of Tukey's Multiple Comparison Method?

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

The null hypothesis of ANOVA is that all the population means are ____________________.

The sum of squares for error is also known as the between-treatments variation.

In a completely randomized design for ANOVA,the numerator and denominator degrees of freedom are 4 and 25,respectively.The total number of observations must equal:

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29.The degrees of freedom for the numerator and denominator are 5 and 10,respectively.Using an F table,the most accurate statements to be made about the p-value is that it is:

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

In a two-factor ANOVA,always test for interaction last.

In one-way analysis of variance,between-treatments variation is measured by the:

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples,the degrees of freedom for treatments is given by:

In a(n)____________________ factorial experiment,data for all possible combinations of the levels of the factors are gathered.

SSE in the independent samples design is equal to the sum of SS____________________ and SS____________________ in the randomized block design.

____________________ multiple comparison method is based on the Studentized range statistic.

A(n)____________________ experiment requires that the sample size for each treatment be equal.

The within-treatments variation provides a measure of the amount of variation in the response variables that is caused by the treatments.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

SSE in the independent samples design is equal to the sum of SS and SS in the randomized block design.