Exam 12: Experimental Design and Analysis of Variance

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)

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Question 121

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 122

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?

(Short Answer)

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Question 123

A company that fills one-gallon containers of water has four machines. The quality control manager needs to determine whether the average fill for these machines is the same. For a sample of 19 one-gallon containers, we have the following data of fill measures (x) in quarts. Machine 1 Machine 2 Machine 3 Machine 4 N 4 6 5 4 (3 - 2) ± 4.53 = (-2.377, 4.377) 4.03 4.0017 3.974 4.005 S 0.0183 0.0117 0.0182 0.0129 And the following partial ANOVA table. Complete the ANOVA table and calculate F.

(Short Answer)

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Question 124

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)

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Question 125

We have just performed a one-way ANOVA on a given set of data and did not reject 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)

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Question 126

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 127

Consider a two-way analysis of variance experiment with treatment factors A and B, with factor A having four levels and factor B having three levels. The results are summarized below. Calculate the degrees of freedom for the interaction between factors A and B.

(Short Answer)

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Question 128

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

(Short Answer)

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Question 129

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

(Short Answer)

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Question 130

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

(Multiple Choice)

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Question 131

Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below. Compute the mean square and F and test the null hypothesis that no interaction exists between factors A and B at α = .05.

(Short Answer)

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Question 132

Showing 121 - 132 of 132

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?

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?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?

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.

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.

Consider a two-way analysis of variance experiment with treatment factors A and B, with factor A having four levels and factor B having three levels. The results are summarized below. Calculate the degrees of freedom for the interaction between factors A and B.

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

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

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

Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below. Compute the mean square and F and test the null hypothesis that no interaction exists between factors A and B at α = .05.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 12: Experimental Design and Analysis of Variance

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?

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?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?

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.

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.

Consider a two-way analysis of variance experiment with treatment factors A and B, with factor A having four levels and factor B having three levels. The results are summarized below. Calculate the degrees of freedom for the interaction between factors A and B.

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

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

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

Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below. Compute the mean square and F and test the null hypothesis that no interaction exists between factors A and B at α = .05.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

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.