Question 1

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

Accepted Answer

A) 71.297 
B) .5604 
C) 1.297 
D) 213.8810 
E) 9.7 
A) 71.297 
B) .5604 
C) 1.297 
D) 213.8810 
E) 9.7

Question 2

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.   Calculate the degrees of freedom for blocks.

Accepted Answer

A) 4 
B) 3 
C) 6 
D) 5 
A) 4 
B) 3 
C) 6 
D) 5

Question 3

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as:

Accepted Answer

A) Treatment sum of squares 
B) Error sum of squares 
C) Sum of squares within-treatment 
D) Total sum of squares 
E) Interaction sum of squares 
A) Treatment sum of squares 
B) Error sum of squares 
C) Sum of squares within-treatment 
D) Total sum of squares 
E) Interaction sum of squares

Question 4

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

Accepted Answer

A) 11,661.38 
B) 194.36 
C) 265.03 
D) 259.14 
A) 11,661.38 
B) 194.36 
C) 265.03 
D) 259.14

Question 5

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

Accepted Answer

A) Variable 
B) Block 
C) Experimental 
D) Random 
A) Variable 
B) Block 
C) Experimental 
D) Random

Question 6

When using a completely randomized design (one - way analysis of variance),the calculated F statistic will decrease

Accepted Answer

A) The variability among the groups decreases relative to the variability within the groups 
B) The total variability increases 
C) The total variability decreases 
D) The variability among the groups increases relative to the variability within the groups 
A) The variability among the groups decreases relative to the variability within the groups 
B) The total variability increases 
C) The total variability decreases 
D) The variability among the groups increases relative to the variability within the groups

Question 7

Find Tukey's simultaneous 95 percent confidence interval for   where   C = 51.5,   B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

Accepted Answer

A) (-6.41 -2.19) 
B) (-8.30 -.299) 
C) (-7.28 -1.32) 
D) (-13.63 5.03) 
A) (-6.41 -2.19) 
B) (-8.30 -.299) 
C) (-7.28 -1.32) 
D) (-13.63 5.03)

Question 8

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations.The response variable is sales in millions of dollars and four treatment levels represent the four regions that the company serves. MSE = 101.25   overall = 39   1 = 33   2 = 43   3 = 49   4 = 31
Perform a pairwise comparison between treatment mean 1 and treatment mean 4 by computing a Tukey 95% simultaneous confidence interval.

Accepted Answer

A) (-14.425 18.225) 
B) (-16.225 20.225) 
C) (-16.9 20.9) 
D) (-18.25 22.25) 
A) (-14.425 18.225) 
B) (-16.225 20.225) 
C) (-16.9 20.9) 
D) (-18.25 22.25)

Question 9

In general,a Tukey simultaneous 100 (1 -   )percent confidence interval is _____ than the corresponding individual 100 (1 -   )percent confidence interval.

Accepted Answer

A) Wider 
B) Narrower 
C) No different 
D) Two times more 
A) Wider 
B) Narrower 
C) No different 
D) Two times more

Question 10

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

Accepted Answer

A) 15 
B) 2 
C) 3 
D) 10 
A) 15 
B) 2 
C) 3 
D) 10

Question 11

In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

Accepted Answer

A) True 
 B)False

Question 12

The degrees of freedom error (within group variation)of a completely randomized design (one-way)ANOVA test with 4 groups and 15 observations per each group is:

Accepted Answer

A) 3 
B) 56 
C) 59 
D) 14 
E) 4 
A) 3 
B) 56 
C) 59 
D) 14 
E) 4

Question 13

In a completely randomized ANOVA,other things equal as the sample means get closer to each other,the probability of rejecting the null hypothesis:

Accepted Answer

A) Decreases. 
B) Increases. 
C) Is unaffected. 
A) Decreases. 
B) Increases. 
C) Is unaffected.

Question 14

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

Accepted Answer

A) comparisonwise error rate 
B) Tukey simultaneous error rate 
C) experimentwise error rate 
D) pairwise error rate 
A) comparisonwise error rate 
B) Tukey simultaneous error rate 
C) experimentwise error rate 
D) pairwise error rate

Question 15

In a completely randomized (one-way)ANOVA,other things equal as the sample means get closer to each other the probability of rejecting the null hypothesis decreases.

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

A) 3 
B) 4 
C) 6 
D) 20 
E) 24 
A) 3 
B) 4 
C) 6 
D) 20 
E) 24

Question 17

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.   Test H0: There is no difference between blocks at   = .05.

Accepted Answer

A) Reject H0 
B) Fail to Reject H0 
A) Reject H0 
B) Fail to Reject H0

Question 18

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.

Accepted Answer

A) Always 
B) Sometimes 
C) Never 
A) Always 
B) Sometimes 
C) Never

Question 19

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

Accepted Answer

A) Reject H0 
B) Fail to Reject H0 
A) Reject H0 
B) Fail to Reject H0

Question 20

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

Accepted Answer

A) 4 
B) 3 
C) 12 
D) 6 
A) 4 
B) 3 
C) 12 
D) 6

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Calculate the degrees of freedom for blocks.

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as:

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

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

When using a completely randomized design (one - way analysis of variance),the calculated F statistic will decrease

Find Tukey's simultaneous 95 percent confidence interval for where _C = 51.5, _B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

In general,a Tukey simultaneous 100 (1 - )percent confidence interval is _____ than the corresponding individual 100 (1 - )percent confidence interval.

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

In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

The degrees of freedom error (within group variation)of a completely randomized design (one-way)ANOVA test with 4 groups and 15 observations per each group is:

In a completely randomized ANOVA,other things equal as the sample means get closer to each other,the probability of rejecting the null hypothesis:

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

In a completely randomized (one-way)ANOVA,other things equal as the sample means get closer to each other the probability of rejecting the null hypothesis decreases.

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: There is no difference between blocks at = .05.

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

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

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

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 11: Experimental Design and Analysis of Variance

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Calculate the degrees of freedom for blocks.

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as:

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

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

When using a completely randomized design (one - way analysis of variance),the calculated F statistic will decrease

Find Tukey's simultaneous 95 percent confidence interval for where C = 51.5, B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

In general,a Tukey simultaneous 100 (1 - )percent confidence interval is _____ than the corresponding individual 100 (1 - )percent confidence interval.

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

In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

The degrees of freedom error (within group variation)of a completely randomized design (one-way)ANOVA test with 4 groups and 15 observations per each group is:

In a completely randomized ANOVA,other things equal as the sample means get closer to each other,the probability of rejecting the null hypothesis:

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

In a completely randomized (one-way)ANOVA,other things equal as the sample means get closer to each other the probability of rejecting the null hypothesis decreases.

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H0: There is no difference between blocks at = .05.

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

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

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

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Find Tukey's simultaneous 95 percent confidence interval for where _C = 51.5, _B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

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

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: There is no difference between blocks at = .05.

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