Question 1

In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

Accepted Answer

A) True 
 B)False

Question 2

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations.
MSE = 101.25

Accepted Answer

@#LAT-DLM& 
= 39 @#LAT-DLM& 
= 33 @#LAT-DLM& 
= 43 @#LAT-DLM&
 
= 49 @#LAT-DLM&

Question 3

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

Accepted Answer

A) True 
 B)False

Question 4

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

Accepted Answer

A) True 
 B)False

Question 5

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.

Accepted Answer

\[\begin{array} { l c } 
\text { Source

Question 6

In a completely randomized (one-way)ANOVA,with other things being 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 7

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.

Accepted Answer

\[\begin{array} { l c } 
\text { Source

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 the four treatment levels represent the four regions that the company serves.
MSE = 101.25

Accepted Answer

@#LAT-DLM& 
= 39 @#LAT-DLM& 
= 33 @#LAT-DLM& 
= 43| @#LAT-DLM& 
= 49 @#LAT-DLM& 
= 31
Perf

Question 9

We have just performed a one-way ANOVA on a given set of data and rejected 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 10

In randomized block ANOVA,the sum of squares for factor 1 equals:

Accepted Answer

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

Question 11

Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below.
 $$\begin{array} { l r r } 
\text { Source of Variation } & \text { df } & \text { SS } \
\text { Factor A } & 4 & 86 \
\text { Factor B } & 5 & 75 \
\text { Interaction } & 20 & 75 \
\text { Error } & 90 & 300 \
\text { Total } & 119 & 536
\end{array}$$

Accepted Answer

\[\begin{array} { l r r } 
\text { Sourc

Question 12

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.
Determine the degrees of freedom treatment,degrees of freedom error,and degrees of freedom total,and state the critical value of the F statistic at α = .05.

Accepted Answer

DF(Treatment)= 3,DF(Error)= 12

Question 13

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to:

Accepted Answer

A) (Total sum of squares)- (Sum of squares within columns). 
B) (Sum of squares between columns)/(c - 1). 
C) (Total sum of squares)- [(Sum of squares within columns)/(n - c)]. 
D) [(Total sum of squares)/(n - 1)] - [(Sum of squares between columns)/(c - 1)]. 
A) (Total sum of squares)- (Sum of squares within columns). 
B) (Sum of squares between columns)/(c - 1). 
C) (Total sum of squares)- [(Sum of squares within columns)/(n - c)]. 
D) [(Total sum of squares)/(n - 1)] - [(Sum of squares between columns)/(c - 1)].

Question 14

Different levels of a factor are called ____________.

Accepted Answer

A) Treatments 
B) Variables 
C) Responses 
D) Observations 
A) Treatments 
B) Variables 
C) Responses 
D) Observations

Question 15

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results.

Accepted Answer

\[\begin{array} { l r r r } 
\text { Sou

Question 16

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 17

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 18

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response,and its corresponding treatment mean.

Accepted Answer

A) SS Error 
B) SS Treatment 
C) SS Total 
D) SS Treatment/SS Error 
A) SS Error 
B) SS Treatment 
C) SS Total 
D) SS Treatment/SS Error

Question 19

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Accepted Answer

79
Feedback:Total df

Question 20

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

In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25

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

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.

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

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.

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 the four treatment levels represent the four regions that the company serves. MSE = 101.25

In randomized block ANOVA,the sum of squares for factor 1 equals:

Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below. Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to:

Different levels of a factor are called ____________.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results.

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

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

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response,and its corresponding treatment mean.

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Statistical Inferences for Population Variances

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 12: Experimental Design and Analysis of Variance

In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25

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

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.

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

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.

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 the four treatment levels represent the four regions that the company serves. MSE = 101.25

In randomized block ANOVA,the sum of squares for factor 1 equals:

Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below. Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to:

Different levels of a factor are called ____________.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results.

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

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

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response,and its corresponding treatment mean.

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Statistical Inferences for Population Variances

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters