Question 1

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

Accepted Answer

A) 12 
B) 4 
C) 2 
D) 3 
A) 12 
B) 4 
C) 2 
D) 3

Question 2

In one-way ANOVA,the numerator degrees of freedom equals the number of samples being compared.

Accepted Answer

A) True 
 B)False

Question 3

If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then the error sum of squares is?

Accepted Answer

A) 42 
B) 8 
C) -8 
D) 64 
A) 42 
B) 8 
C) -8 
D) 64

Question 4

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.   What is the treatment mean square?

Accepted Answer

A) 3.98 
B) 5.31 
C) 15.93 
D) 1.06 
A) 3.98 
B) 5.31 
C) 15.93 
D) 1.06

Question 5

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

Accepted Answer

A) 12 
B) 4 
C) 2 
D) 3 
A) 12 
B) 4 
C) 2 
D) 3

Question 6

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

Accepted Answer

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

Question 7

In one-way ANOVA,the treatment sum of squares equals:

Accepted Answer

A) SSTO - SS (error)- SS (interaction) 
B) SSTO - SS (factor 1)- SSE 
C) SSTO - SS (interaction)- SS (factor 1)- SS (factor 2) 
D) SSTO - SS (factor 1)- SS (factor 2) 
E) SSTO - SS (error) 
A) SSTO - SS (error)- SS (interaction) 
B) SSTO - SS (factor 1)- SSE 
C) SSTO - SS (interaction)- SS (factor 1)- SS (factor 2) 
D) SSTO - SS (factor 1)- SS (factor 2) 
E) SSTO - SS (error)

Question 8

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25   overall = 39   1 = 33   2 = 43   3 = 49   4 = 31
Compute a 95% confidence interval for the first treatment mean.

Accepted Answer

A) (12.75 53.25) 
B) (25.14 40.86) 
C) (23.46 42.54) 
D) (20.51 45.49) 
A) (12.75 53.25) 
B) (25.14 40.86) 
C) (23.46 42.54) 
D) (20.51 45.49)

Question 9

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?

Accepted Answer

A) 3.34 
B) 5.29 
C) 5.14 
D) 2.64 
A) 3.34 
B) 5.29 
C) 5.14 
D) 2.64

Question 10

Experimental data is collected so that the values of the dependent variables are set before the values of the independent variable are observed.

Accepted Answer

A) True 
 B)False

Question 11

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 is:

Accepted Answer

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

Question 12

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the value of the F statistic for blocks?

Accepted Answer

A) 0.75 
B) 0.90 
C) 0.30 
D) 0.60 
A) 0.75 
B) 0.90 
C) 0.30 
D) 0.60

Question 13

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

Accepted Answer

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

Question 14

A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among the recent graduates from 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.

Accepted Answer

A) F = 8 
B) F = 4 
C) F = 6 
D) F = 5 
A) F = 8 
B) F = 4 
C) F = 6 
D) F = 5

Question 15

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment mean square?

Accepted Answer

A) 2 
B) 1 
C) 3 
D) 0.67 
A) 2 
B) 1 
C) 3 
D) 0.67

Question 16

The Excel/Mega-Stat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners.The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt. At a significance level of .05,we would:

Accepted Answer

A) Not be able to reject the null hypothesis of equal population means. 
B) Reject the null hypothesis of equal population means. 
C) Reject or fail to reject depending on the value of the t statistic. 
D) Not be able to decide whether or not to reject the null hypothesis due to insufficient information. 
A) Not be able to reject the null hypothesis of equal population means. 
B) Reject the null hypothesis of equal population means. 
C) Reject or fail to reject depending on the value of the t statistic. 
D) Not be able to decide whether or not to reject the null hypothesis due to insufficient information.

Question 17

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

Accepted Answer

A) 71.297 
B) .5604 
C) 1.297 
D) 213.881 
E) 9.7 
A) 71.297 
B) .5604 
C) 1.297 
D) 213.881 
E) 9.7

Question 18

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

Accepted Answer

A) Categorical 
B) Regression 
C) Response 
D) Factor 
A) Categorical 
B) Regression 
C) Response 
D) Factor

Question 19

In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

A) MS Error 
B) MS Treatment 
C) SS Error 
D) SS Treatment 
A) MS Error 
B) MS Treatment 
C) SS Error 
D) SS Treatment

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

In one-way ANOVA,the numerator degrees of freedom equals the number of samples being compared.

If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then the error sum of squares is?

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the treatment mean square?

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

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

In one-way ANOVA,the treatment sum of squares equals:

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25 _overall = 39 ₁ = 33 ₂ = 43 ₃ = 49 ₄ = 31 Compute a 95% confidence interval for the first treatment mean.

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?

Experimental data is collected so that the values of the dependent variables are set before the values of the independent variable are observed.

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 is:

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the value of the F statistic for blocks?

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

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment mean square?

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

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

In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

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

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

In one-way ANOVA,the numerator degrees of freedom equals the number of samples being compared.

If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then the error sum of squares is?

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the treatment mean square?

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

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

In one-way ANOVA,the treatment sum of squares equals:

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25 overall = 39 1 = 33 2 = 43 3 = 49 4 = 31 Compute a 95% confidence interval for the first treatment mean.

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?

Experimental data is collected so that the values of the dependent variables are set before the values of the independent variable are observed.

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 is:

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the value of the F statistic for blocks?

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

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment mean square?

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

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

In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

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

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

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25 _overall = 39 ₁ = 33 ₂ = 43 ₃ = 49 ₄ = 31 Compute a 95% confidence interval for the first treatment mean.