Question 1

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. A

Question 2

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts. F.
F = 10.10 $$\begin{array} { l c c c c } 
\text { Source } & \text { SS } & \text { DF } & \text { MS } & \text { F } \
\text { Treatments } & .007077 & 3 & 0.002359 & 10.10 \
\text { Errors } & .003502 & 15 & .0002335 & \
\text { Total } & 0.010579 & 18 & &
\end{array}$$

Accepted Answer

$$\begin{array} { c l l l l } 
& \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } & \text { Machine 4 } \
N & 4 & 6 & 5 & 4 \
\bar { x } & 4.03 & 4.0017 & 3.974 & 4.005 \
S & 0.0183 & 0.0117 & 0.0182 & 0.0129
\end{array}$$ 
And the following partial ANOVA table. $$\begin{array} { l c c c c } 
\text { Source } & \text { SS } & \text { DF } & \text { MS } & \text { F } \
\text { Treatments } & & & 0.002359 \
\text { Errors } & & & \
\text { Total } & 0.010579 & &
\end{array}$$ 
Complete the ANOVA table and calculate F.
F = 10.10 $$\begin{array} { l c c c c } 
\text { Source } & \text { SS } & \text { DF } & \text { MS } & \text { F } \
\text { Treatments } & .007077 & 3 & 0.002359 & 10.10 \
\text { Errors } & .003502 & 15 & .0002335 & \
\text { Total } & 0.010579 & 18 & &
\end{array}$$ 
Feedback:DF treatment = 4 machines - 1 = 3
DF total = n - 1 = 19 - 1 = 18
DF error = DF total - DF treatment = 18 - 3 = 15
SS treatment = MS treatment × DF treatment = .002359 × 3 = .007077
SS error = SS total - SS treatment = .010579 - .007077 = .003502
MS error = SS error/DF error = .003502/15 = .0002335
F = MS treatment/MS error = .002359/.0002335 = 10.10

Question 3

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

Accepted Answer

$$\begin{array} { l c } 
\text { Source } & \text { Sum of Squares } \
\text { Treatments } & 15.93 \
\text { Blocks } & 42.09 \
\text { Error } & 23.84 \
\text { Total } & 81.86
\end{array}$$ 
What is the mean square error?
1.59
Feedback: $\frac { 23.84 } { ( 3 ) ( 5 ) } = 1.59$

Question 4

Find Tukey's simultaneous 95 percent confidence interval for μC - μB,where

Accepted Answer

@#LAT-DLM& 
= 51.5, @#LAT-DLM& 
= 55.8,and MSE = 6

Question 5

What is 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?

Accepted Answer

3
Feedback:Treatment

Question 6

Consider the one-way ANOVA table.

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

When computing confidence intervals using Tukey's procedure,for all possible pairwise comparison of means,the experimentwise error rate will be:

Accepted Answer

A) Equal to α. 
B) Less than α. 
C) Greater than α. 
A) Equal to α. 
B) Less than α. 
C) Greater than α.

Question 9

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 10

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.The study looks at a total of 55 companies equally divided among categories groups A,B,C,D,and E.
 $$\begin{array} { | l | c | c | c | c | } 
\hline \text { Source } & \text { SS } & d f & \text { MS } & F \
\hline \text { Treatment } & 583.39 & 4 & 145.85 & 7.501 \
\hline \text { Error } & 972.18 & 50 & 19.4436 & \
\hline \text { Total } & 1555.57 & 54 & & \
\hline
\end{array}$$

Accepted Answer

\[\begin{array} { | l | c | c | c | c |

Question 11

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

Question 12

A sum of squares that measures the variability among the sample means is referred to as the:

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 13

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

Accepted Answer

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

Question 14

The variable of interest in an experiment is referred to as the __________ variable.

Accepted Answer

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

Question 15

After rejecting the null hypothesis of equal treatments,a researcher decided to compute a 95 percent confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on Tukey's procedure.At α = .05,if the confidence interval includes the value of zero,then we can reject the hypothesis that the two population means are equal.

Accepted Answer

A) True 
 B)False

Question 16

___________ refers to applying a treatment to more than one experimental unit.

Accepted Answer

A) Randomization 
B) Balanced experiment 
C) One-way ANOVA 
D) Replication 
A) Randomization 
B) Balanced experiment 
C) One-way ANOVA 
D) Replication

Question 17

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

Accepted Answer

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

Question 18

The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

Accepted Answer

A) True 
 B)False

Question 19

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 20

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

Accepted Answer

A) Closer to 1 
B) Closer to 0 
C) Larger 
D) Smaller 
A) Closer to 1 
B) Closer to 0 
C) Larger 
D) Smaller

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

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

Find Tukey's simultaneous 95 percent confidence interval for μ_C - μ_B,where

What is 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?

Consider the one-way ANOVA table.

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

When computing confidence intervals using Tukey's procedure,for all possible pairwise comparison of means,the experimentwise error rate will be:

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

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.The study looks at a total of 55 companies equally divided among categories groups A,B,C,D,and E. Source SS df MS F Treatment 583.39 4 145.85 7.501 Error 972.18 50 19.4436 Total 1555.57 54

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

A sum of squares that measures the variability among the sample means is referred to as the:

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

The variable of interest in an experiment is referred to as the __________ variable.

___________ refers to applying a treatment to more than one experimental unit.

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

The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

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

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

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

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

Find Tukey's simultaneous 95 percent confidence interval for μC - μB,where

What is 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?

Consider the one-way ANOVA table.

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

When computing confidence intervals using Tukey's procedure,for all possible pairwise comparison of means,the experimentwise error rate will be:

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

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.The study looks at a total of 55 companies equally divided among categories groups A,B,C,D,and E. Source SS df MS F Treatment 583.39 4 145.85 7.501 Error 972.18 50 19.4436 Total 1555.57 54

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

A sum of squares that measures the variability among the sample means is referred to as the:

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

The variable of interest in an experiment is referred to as the __________ variable.

___________ refers to applying a treatment to more than one experimental unit.

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

The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

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

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

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

Find Tukey's simultaneous 95 percent confidence interval for μ_C - μ_B,where