Exam 12: Analysis of Variance

A diet center wanted to test three different methods for losing weight to determine if the average weight loss (reported in pounds/week) for each method is the same. The results for the three methods are tabulated below. Given that there is a significant difference between the three methods, use the Tukey test to determine if there is a significant difference between each pair of methods. Let .

(Essay)

5.0/5

(77)

Question 41

Which of the following assumptions is not made for the F test for comparing three or more means?

(Multiple Choice)

4.9/5

(88)

Question 42

In 2-way ANOVA, each independent variable investigated could have two or more different treatments or ______________.

(Short Answer)

4.9/5

(80)

Question 43

A researcher is performing a two-way ANOVA using two factors. The first factor has 5 levels and the second factor has 9 levels. In the ANOVA Summary Table, the degrees of freedom for the interaction between the first and second factors will be

(Multiple Choice)

5.0/5

(88)

Question 44

If there is no difference in the means, the _____________ variance will be approximately equal to the within-group variance.

(Short Answer)

4.9/5

(88)

Question 45

Two methods for teaching Introductory Statistics are to be compared. Ten students are randomly assigned to one of two groups and their midterm averages are recorded. Analyze the data using a two-way ANOVA at .

(Essay)

4.9/5

(89)

Question 46

An F-test can be used to compare the variances of three or more means.

(True/False)

4.9/5

(86)

Question 47

In an Analysis of Variance Summary Table, if the Mean Square Between = 34 and the Mean Square Within = 24, then the null hypothesis of the groups having the same mean is

(Multiple Choice)

4.7/5

(90)

Question 48

Complete the formula for the sum of squares between groups:

(Multiple Choice)

4.9/5

(73)

Question 49

The value of the F-distribution can be negative.

(True/False)

4.9/5

(75)

Question 50

The ____________ test can be used after the analysis of variance has been completed to make pairwise comparisons between means when groups have the same sample size.

(Short Answer)

4.7/5

(87)

Question 51

When the absolute value of q is less than the critical value for the Tukey test, there is a significant difference between the two means being compared.

(True/False)

4.8/5

(91)

Question 52

In order to conduct the Scheffé test, one must compare the means two at a time using all possible combinations of means.

(True/False)

4.8/5

(95)

Question 53

When there is one independent variable, the analysis of variance is called a __________ ANOVA.

(Short Answer)

4.9/5

(72)

Question 54

Showing 41 - 54 of 54

Which of the following assumptions is not made for the F test for comparing three or more means?

In 2-way ANOVA, each independent variable investigated could have two or more different treatments or ______________.

A researcher is performing a two-way ANOVA using two factors. The first factor has 5 levels and the second factor has 9 levels. In the ANOVA Summary Table, the degrees of freedom for the interaction between the first and second factors will be

If there is no difference in the means, the _____________ variance will be approximately equal to the within-group variance.

Two methods for teaching Introductory Statistics are to be compared. Ten students are randomly assigned to one of two groups and their midterm averages are recorded. Analyze the data using a two-way ANOVA at .

An F-test can be used to compare the variances of three or more means.

In an Analysis of Variance Summary Table, if the Mean Square Between = 34 and the Mean Square Within = 24, then the null hypothesis of the groups having the same mean is

Complete the formula for the sum of squares between groups:

The value of the F-distribution can be negative.

The ____________ test can be used after the analysis of variance has been completed to make pairwise comparisons between means when groups have the same sample size.

When the absolute value of q is less than the critical value for the Tukey test, there is a significant difference between the two means being compared.

In order to conduct the Scheffé test, one must compare the means two at a time using all possible combinations of means.

When there is one independent variable, the analysis of variance is called a __________ ANOVA.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Nonparametric Statistics

Sampling and Simulation

Filters