Exam 11: Experimental Design and Analysis of Variance

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: There is no difference between treatment effects at α = .05.

(Essay)

4.8/5

(45)

Question 61

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to:

(Multiple Choice)

4.7/5

(30)

Question 62

The variable of interest in an experiment is referred to as the __________ variable.

(Multiple Choice)

4.8/5

(39)

Question 63

If sample mean plots look essentially parallel,we can intuitively conclude that there is an interaction between the two factors.

(True/False)

4.8/5

(36)

Question 64

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

(Multiple Choice)

4.9/5

(30)

Question 65

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 four treatment levels represent the four regions that the company serves. Perform a pairwise comparison between treatment mean 1 and treatment mean 4 by computing a Tukey 95 percent simultaneous confidence interval.

(Short Answer)

4.9/5

(29)

Question 66

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results. Compute the mean square and F to test the null hypothesis that there is no interaction at α = .01.

(Essay)

4.7/5

(32)

Question 67

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for treatments.

(Short Answer)

4.8/5

(31)

Question 68

___________ refers to applying a treatment to more than one experimental unit.

(Multiple Choice)

4.9/5

(30)

Question 69

A sum of squares that measures the variability among the sample means is referred to as the:

(Multiple Choice)

4.8/5

(37)

Question 70

In a 2-way ANOVA,if factor 1 has a levels and factor 2 has b levels,then there are a total of _______ treatments.

(Multiple Choice)

4.7/5

(21)

Question 71

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the calculated F statistic for treatments?

(Short Answer)

4.9/5

(36)

Question 72

We have just performed a one-way ANOVA on a given set of data and rejected the null hypothesis for the ANOVA F test.Assume that we are able to perform a randomized block design ANOVA on the same data.For the randomized block design ANOVA,the null hypothesis for equal treatments will __________ be rejected.

(Multiple Choice)

4.8/5

(33)

Question 73

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

(Multiple Choice)

4.7/5

(32)

Question 74

In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

(True/False)

4.7/5

(25)

Question 75

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.Is there a significant difference in the starting salaries among the four disciplines? (H₀: No difference)

(Essay)

4.9/5

(37)

Question 76

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

(Short Answer)

4.8/5

(34)

Question 77

Consider the one-way ANOVA table. How many groups (treatment levels)are included in the study?

(Short Answer)

4.8/5

(39)

Question 78

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. Determine the degrees of freedom treatment,degrees of freedom error,and degrees of freedom total,and state the critical value of the F statistic at α = .05.

(Essay)

4.9/5

(27)

Question 79

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

(Multiple Choice)

5.0/5

(23)

Question 80

Showing 61 - 80 of 98

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: There is no difference between treatment effects at α = .05.

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to:

The variable of interest in an experiment is referred to as the __________ variable.

If sample mean plots look essentially parallel,we can intuitively conclude that there is an interaction between the two factors.

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results. Compute the mean square and F to test the null hypothesis that there is no interaction at α = .01.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for treatments.

___________ refers to applying a treatment to more than one experimental unit.

A sum of squares that measures the variability among the sample means is referred to as the:

In a 2-way ANOVA,if factor 1 has a levels and factor 2 has b levels,then there are a total of _______ treatments.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the calculated F statistic for treatments?

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

In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

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

Consider the one-way ANOVA table. How many groups (treatment levels)are included in the study?

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H0: There is no difference between treatment effects at α = .05.

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to:

The variable of interest in an experiment is referred to as the __________ variable.

If sample mean plots look essentially parallel,we can intuitively conclude that there is an interaction between the two factors.

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results. Compute the mean square and F to test the null hypothesis that there is no interaction at α = .01.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for treatments.

___________ refers to applying a treatment to more than one experimental unit.

A sum of squares that measures the variability among the sample means is referred to as the:

In a 2-way ANOVA,if factor 1 has a levels and factor 2 has b levels,then there are a total of _______ treatments.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the calculated F statistic for treatments?

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

In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

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

Consider the one-way ANOVA table. How many groups (treatment levels)are included in the study?

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: There is no difference between treatment effects at α = .05.