Exam 11: Experimental Design and Analysis of Variance

Find a Tukey simultaneous 95 percent confidence interval for μ₁ - μ₂,where ₁ = 33.98, ₂ = 36.56,and MSE = 0.669.There were 15 observations total and 3 treatments.Assume that the number of observations in each treatment is equal.

(Short Answer)

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Question 41

If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then what is the error sum of squares?

(Short Answer)

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Question 42

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

(True/False)

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Question 43

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

(Multiple Choice)

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Question 44

In one-way ANOVA,the total sum of squares is equal to _______________________.

(Multiple Choice)

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Question 45

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. Compute a 95 percent confidence interval for the first treatment mean.

(Short Answer)

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Question 46

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H₀: there is no difference between blocks at α = .05.

(Short Answer)

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Question 47

When we compute 100(1 - α)confidence intervals,the value of α is called the

(Multiple Choice)

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Question 48

In performing a one-way ANOVA,the _________ is the between-group variance.

(Multiple Choice)

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Question 49

A ___________ design is an experimental design that compares v treatments by using d blocks,where each block is used exactly once to measure the effect of each treatment.

(Multiple Choice)

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Question 50

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

(True/False)

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Question 51

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the block mean square?

(Short Answer)

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Question 52

A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

(True/False)

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Question 53

The ___________________ units are the entities (objects,people,etc. )to which the treatments are assigned.

(Multiple Choice)

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Question 54

Find a Tukey simultaneous 95 percent confidence interval for μ_C - μ_B,where and MSE = 6.125.There were 4 treatments and 24 observations total,and the number of observations were equal in each group.

(Short Answer)

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Question 55

Consider the one-way ANOVA table. If there are an equal number of observations in each group,then each group (treatment level)consists of how many observations?

(Short Answer)

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Question 56

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H₀: there is no difference between treatment effects at α = .05.

(Essay)

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Question 57

In randomized block ANOVA,the sum of squares for factor 1 equals:

(Multiple Choice)

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Question 58

Consider the one-way ANOVA table. What is the treatment mean square?

(Short Answer)

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Question 59

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the block mean square?

(Short Answer)

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Question 60

Showing 41 - 60 of 98

Find a Tukey simultaneous 95 percent confidence interval for μ₁ - μ₂,where ₁ = 33.98, ₂ = 36.56,and MSE = 0.669.There were 15 observations total and 3 treatments.Assume that the number of observations in each treatment is equal.

If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then what is the error sum of squares?

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

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

In one-way ANOVA,the total sum of squares is equal to _______________________.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. Compute a 95 percent confidence interval for the first treatment mean.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H₀: there is no difference between blocks at α = .05.

When we compute 100(1 - α)confidence intervals,the value of α is called the

In performing a one-way ANOVA,the _________ is the between-group variance.

A ___________ design is an experimental design that compares v treatments by using d blocks,where each block is used exactly once to measure the effect of each treatment.

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the block mean square?

A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

The ___________________ units are the entities (objects,people,etc. )to which the treatments are assigned.

Find a Tukey simultaneous 95 percent confidence interval for μ_C - μ_B,where and MSE = 6.125.There were 4 treatments and 24 observations total,and the number of observations were equal in each group.

Consider the one-way ANOVA table. If there are an equal number of observations in each group,then each group (treatment level)consists of how many observations?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H₀: there is no difference between treatment effects at α = .05.

In randomized block ANOVA,the sum of squares for factor 1 equals:

Consider the one-way ANOVA table. What is the treatment mean square?

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the block mean square?

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

Find a Tukey simultaneous 95 percent confidence interval for μ1 - μ2,where 1 = 33.98, 2 = 36.56,and MSE = 0.669.There were 15 observations total and 3 treatments.Assume that the number of observations in each treatment is equal.

If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then what is the error sum of squares?

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

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

In one-way ANOVA,the total sum of squares is equal to _______________________.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. Compute a 95 percent confidence interval for the first treatment mean.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H0: there is no difference between blocks at α = .05.

When we compute 100(1 - α)confidence intervals,the value of α is called the

In performing a one-way ANOVA,the _________ is the between-group variance.

A ___________ design is an experimental design that compares v treatments by using d blocks,where each block is used exactly once to measure the effect of each treatment.

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the block mean square?

A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

The ___________________ units are the entities (objects,people,etc. )to which the treatments are assigned.

Find a Tukey simultaneous 95 percent confidence interval for μC - μB,where and MSE = 6.125.There were 4 treatments and 24 observations total,and the number of observations were equal in each group.

Consider the one-way ANOVA table. If there are an equal number of observations in each group,then each group (treatment level)consists of how many observations?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H0: there is no difference between treatment effects at α = .05.

In randomized block ANOVA,the sum of squares for factor 1 equals:

Consider the one-way ANOVA table. What is the treatment mean square?

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the block mean square?

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

Find a Tukey simultaneous 95 percent confidence interval for μ₁ - μ₂,where ₁ = 33.98, ₂ = 36.56,and MSE = 0.669.There were 15 observations total and 3 treatments.Assume that the number of observations in each treatment is equal.

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

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H₀: there is no difference between blocks at α = .05.

Find a Tukey simultaneous 95 percent confidence interval for μ_C - μ_B,where and MSE = 6.125.There were 4 treatments and 24 observations total,and the number of observations were equal in each group.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test H₀: there is no difference between treatment effects at α = .05.