Exam 11: A: The Analysis of Variance

How many degrees of freedom are there for a denominator in a one-way ANOVA test that includes three population means with ten observations sampled from each population?

(Multiple Choice)

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Question 121

In one-way ANOVA, the test statistic is defined as the ratio of the mean square for error (MSE) and the mean square for treatments (MST); namely, F = MSE/MST.

(True/False)

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Question 122

In an ANOVA test, the test statistic is F = 6.75. The rejection region is F > 3.97 for the 5% level of significance, F > 5.29 for the 2.5% level, and F > 7.46 for the 1% level. For this test, what is the p-value?

(Multiple Choice)

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Question 123

The analysis of variance (ANOVA) technique analyzes the variance of the data to determine whether differences exist between the population variances.

(True/False)

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Question 124

In the completely randomized design of ANOVA where there are k treatments and n observations, what are the degrees of freedom for the F statistic?

(Multiple Choice)

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Question 125

In one-way ANOVA, what is the sum of the squared deviations of each individual sample observation (regardless of the sample to which it belongs) from the mean of all observations?

(Multiple Choice)

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Question 126

The completely randomized design is an experimental plan that divides all available experimental units into blocks of fairly homogeneous units:each block containing as many units as there are treatments or some multiple of that number:and then randomly matches each treatment with one or more units within each block.

(True/False)

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Question 127

Tukey's method for paired comparisons assumes that the sample means are equal and independent of each other.

(True/False)

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Question 128

Which of the following is equal to the test statistic of the completely randomized ANOVA design?

(Multiple Choice)

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Question 129

Given the significance level 0.05, the F-value for the degrees of freedom = 5 and = 8 is 4.82.

(True/False)

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Question 130

The one-way ANOVA assumes that the population means are equal.

(True/False)

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Question 131

In any ANOVA test, whenever the computed F statistic exceeds a chosen critical value of F, the null hypothesis of equal population means should be rejected.

(True/False)

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Question 132

In a two-way ANOVA, there are 4 levels for factor A, 3 levels for factor B, and 2 observations within each of the 12 factor combinations. The number of treatments in this experiment will be 12.

(True/False)

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Question 133

In one-way ANOVA, there is a single factor of interest but there may be multiple levels of the factor.

(True/False)

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Question 134

When the objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

(True/False)

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Question 135

What is an analysis of variance that controls extraneous factors by using the randomized block design?

(Multiple Choice)

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Question 136

Showing 121 - 136 of 136

How many degrees of freedom are there for a denominator in a one-way ANOVA test that includes three population means with ten observations sampled from each population?

In one-way ANOVA, the test statistic is defined as the ratio of the mean square for error (MSE) and the mean square for treatments (MST); namely, F = MSE/MST.

In an ANOVA test, the test statistic is F = 6.75. The rejection region is F > 3.97 for the 5% level of significance, F > 5.29 for the 2.5% level, and F > 7.46 for the 1% level. For this test, what is the p-value?

The analysis of variance (ANOVA) technique analyzes the variance of the data to determine whether differences exist between the population variances.

In the completely randomized design of ANOVA where there are k treatments and n observations, what are the degrees of freedom for the F statistic?

In one-way ANOVA, what is the sum of the squared deviations of each individual sample observation (regardless of the sample to which it belongs) from the mean of all observations?

Tukey's method for paired comparisons assumes that the sample means are equal and independent of each other.

Which of the following is equal to the test statistic of the completely randomized ANOVA design?

Given the significance level 0.05, the F-value for the degrees of freedom = 5 and = 8 is 4.82.

The one-way ANOVA assumes that the population means are equal.

In any ANOVA test, whenever the computed F statistic exceeds a chosen critical value of F, the null hypothesis of equal population means should be rejected.

In a two-way ANOVA, there are 4 levels for factor A, 3 levels for factor B, and 2 observations within each of the 12 factor combinations. The number of treatments in this experiment will be 12.

In one-way ANOVA, there is a single factor of interest but there may be multiple levels of the factor.

When the objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

What is an analysis of variance that controls extraneous factors by using the randomized block design?

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

A: probability and Probability Distributions

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

A: large-Sample Tests of Hypotheses

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

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