Exam 12: Experimental Design and Analysis of Variance

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.

(Short Answer)

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Question 41

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 42

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 43

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 44

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 treatments?

(Short Answer)

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Question 45

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)

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Question 46

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

(Short Answer)

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Question 47

The error sum of squares measures the between-treatment variability.

(True/False)

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Question 48

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 error term.

(Short Answer)

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Question 49

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

(Multiple Choice)

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Question 50

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

(Short Answer)

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Question 51

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. Compute the mean squares and appropriate F statistics to test the null hypotheses of no effect from either factor at α = .05 (assumption: no interaction effect).

(Short Answer)

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Question 52

The dependent variable, the variable of interest in an experiment, is also called the ________ variable.

(Multiple Choice)

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Question 53

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

(True/False)

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Question 54

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments. MSE = 101.25 = 39 = 33 = 43 = 49 = 31 Compute a 95 percent confidence interval for the first treatment mean.

(Short Answer)

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Question 55

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

(Short Answer)

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Question 56

After analyzing a data set using the one-way ANOVA model, the same data are analyzed using the randomized block design ANOVA model. SS (Treatment) in the one-way ANOVA model is ________ the SS (Treatment) in the randomized block design ANOVA model.

(Multiple Choice)

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Question 57

If the factors being studied cannot be controlled, the data are said to be observational.

(True/False)

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Question 58

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

(Short Answer)

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Question 59

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)

(Short Answer)

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Question 60

Showing 41 - 60 of 132

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.

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.

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?

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 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?

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

The error sum of squares measures the between-treatment variability.

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 error term.

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

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

The dependent variable, the variable of interest in an experiment, is also called the ________ variable.

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 calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments. MSE = 101.25 = 39 = 33 = 43 = 49 = 31 Compute a 95 percent confidence interval for the first treatment mean.

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

After analyzing a data set using the one-way ANOVA model, the same data are analyzed using the randomized block design ANOVA model. SS (Treatment) in the one-way ANOVA model is ________ the SS (Treatment) in the randomized block design ANOVA model.

If the factors being studied cannot be controlled, the data are said to be observational.

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

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

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.

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.

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?

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 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?

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

The error sum of squares measures the between-treatment variability.

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 error term.

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

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

The dependent variable, the variable of interest in an experiment, is also called the ________ variable.

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 calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments. MSE = 101.25 = 39 = 33 = 43 = 49 = 31 Compute a 95 percent confidence interval for the first treatment mean.

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

After analyzing a data set using the one-way ANOVA model, the same data are analyzed using the randomized block design ANOVA model. SS (Treatment) in the one-way ANOVA model is ________ the SS (Treatment) in the randomized block design ANOVA model.

If the factors being studied cannot be controlled, the data are said to be observational.

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

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

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.