Exam 11: Experimental Design and Analysis of Variance

In one-way ANOVA,other factors being equal,the further apart the treatment means are from each other,the more likely we are to reject the null hypothesis associated with the ANOVA F test.

(True/False)

4.9/5

(29)

Question 21

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the error?

(Short Answer)

4.7/5

(28)

Question 22

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations.The response variable is sales in millions of dollars,and the four treatment levels represent the four regions that the company serves. Perform a pairwise comparison between treatment mean 3 and treatment mean 4 by computing a Tukey 90 percent simultaneous confidence interval.

(Short Answer)

4.8/5

(37)

Question 23

Which one of the following is not an assumption of one-way analysis of variance?

(Multiple Choice)

4.7/5

(30)

Question 24

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,compute the F statistic where the sum of squares treatment is 17.0493 and the sum of squares error is 8.028.

(Short Answer)

4.9/5

(34)

Question 25

When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

(True/False)

4.8/5

(36)

Question 26

A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among recent graduates from the nursing,engineering,business,and education disciplines.She has randomly selected four graduates from each of the four areas. If MSE = 4,and SSTO = 120,complete the following ANOVA table and determine the value of the F statistic.

(Essay)

4.8/5

(23)

Question 27

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for blocks?

(Short Answer)

4.8/5

(46)

Question 28

What is the degrees of freedom treatment (between-group variation)of a completely randomized design (one-way)ANOVA test with 4 groups and 15 observations per each group?

(Short Answer)

5.0/5

(35)

Question 29

The 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ₁ - μ₂.

(True/False)

5.0/5

(41)

Question 30

When computing a confidence interval for the difference between two means,the width of the (1 - α)confidence interval based on the Tukey procedure will be __________ the width of the (1 - α)individual confidence interval based on the t statistic.

(Multiple Choice)

4.8/5

(34)

Question 31

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

(True/False)

4.9/5

(30)

Question 32

After rejecting the null hypothesis of equal treatments,a researcher decided to compute a 95 percent confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on the Tukey procedure.At α = .05,if the confidence interval includes the value of zero,then we can reject the hypothesis that the two population means are equal.

(True/False)

4.9/5

(34)

Question 33

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

(True/False)

4.8/5

(44)

Question 34

In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

(True/False)

4.8/5

(37)

Question 35

When computing individual confidence intervals using the t statistic,for all possible pairwise comparisons of means,the experimentwise error rate will be:

(Multiple Choice)

4.8/5

(26)

Question 36

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

(Short Answer)

4.7/5

(37)

Question 37

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the treatments?

(Short Answer)

4.9/5

(43)

Question 38

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for treatment?

(Short Answer)

4.9/5

(33)

Question 39

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:

(Multiple Choice)

4.8/5

(42)

Question 40

Showing 21 - 40 of 98

In one-way ANOVA,other factors being equal,the further apart the treatment means are from each other,the more likely we are to reject the null hypothesis associated with the ANOVA F test.

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the error?

Which one of the following is not an assumption of one-way analysis of variance?

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,compute the F statistic where the sum of squares treatment is 17.0493 and the sum of squares error is 8.028.

When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for blocks?

What is the degrees of freedom treatment (between-group variation)of a completely randomized design (one-way)ANOVA test with 4 groups and 15 observations per each group?

The 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ₁ - μ₂.

When computing a confidence interval for the difference between two means,the width of the (1 - α)confidence interval based on the Tukey procedure will be __________ the width of the (1 - α)individual confidence interval based on the t statistic.

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

When computing individual confidence intervals using the t statistic,for all possible pairwise comparisons of means,the experimentwise error rate will be:

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the treatments?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for treatment?

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

Exam 11: Experimental Design and Analysis of Variance

In one-way ANOVA,other factors being equal,the further apart the treatment means are from each other,the more likely we are to reject the null hypothesis associated with the ANOVA F test.

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the error?

Which one of the following is not an assumption of one-way analysis of variance?

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,compute the F statistic where the sum of squares treatment is 17.0493 and the sum of squares error is 8.028.

When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for blocks?

What is the degrees of freedom treatment (between-group variation)of a completely randomized design (one-way)ANOVA test with 4 groups and 15 observations per each group?

The 95 percent individual confidence interval for μ1 - μ2 (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ1 - μ2.

When computing a confidence interval for the difference between two means,the width of the (1 - α)confidence interval based on the Tukey procedure will be __________ the width of the (1 - α)individual confidence interval based on the t statistic.

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

When computing individual confidence intervals using the t statistic,for all possible pairwise comparisons of means,the experimentwise error rate will be:

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the treatments?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the calculated F statistic for treatment?

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

The 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ₁ - μ₂.