Question 1

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 2

The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

Accepted Answer

A) Randomly selected 
B) The same 
C) Different 
D) Representative 
E) Equally timed 
A) Randomly selected 
B) The same 
C) Different 
D) Representative 
E) Equally timed

Question 3

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.
 $$\begin{array} { l r r } 
\text { Source of Variation } & d f & \text { SS } \
\text { Factor A } & & 71 \
\text { Factor B } & & 63 \
\text { Interaction } & & 50 \
\text { Error } & & 280 \
\text { Total } & 71 & 464
\end{array}$$ 
Compute the mean squares and F to test the null hypothesis that no interaction exists between factor A and B at α = .05.

Accepted Answer

F_int = 1.78 < F_.05,6,60 = 2.25,so no interaction be

Question 4

When we compute 100(1 - α)confidence intervals,the value of α 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 5

What is 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?

Accepted Answer

56
Feedback:Error df

Question 6

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 for the individual confidence intervals?

Accepted Answer

76
Feedback:df for t value for

Question 7

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

Accepted Answer

8
Feedback:SSE = Tot

Question 8

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

Accepted Answer

5,6
Feedback:Factor

Question 9

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

Accepted Answer

12
Feedbac

Question 10

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 11

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.
 $$\begin{array} { l r r } 
\text { Source of Variation } & d f & \text { SS } \
\text { Factor A } & & 71 \
\text { Factor B } && 63 \
\text { Interaction } && 50 \
\text { Error } & & 280 \
\text { Total } & 71 & 464
\end{array}$$ 
Calculate the degrees of freedom for the interaction between Factors A and B.

Accepted Answer

6
Feedback

Question 12

The 95 percent individual confidence interval for μ1 - μ2 (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey's 95 percent simultaneous confidence interval for μ1 - μ2.

Accepted Answer

A) True 
 B)False

Question 13

A ___________ design,is an experimental design that compares "v" treatments by using "d" blocks,where each block is used exactly once to measure the effect of each treatment.

Accepted Answer

A) One-way ANOVA 
B) Two-way ANOVA 
C) Randomized block 
D) Balanced complete factorial 
A) One-way ANOVA 
B) Two-way ANOVA 
C) Randomized block 
D) Balanced complete factorial

Question 14

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 15

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degrees of freedom for error?

Accepted Answer

12
Feedback:Error df

Question 16

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.
 $$\begin{array} { l r r } 
\text { Source of Variation } & d f & \text { SS } \
\text { Factor A } & & 71 \
\text { Factor B } & &63 \
\text { Interaction } && 50 \
\text { Error } & &280 \
\text { Total } &71 & 464
\end{array}$$ 
Compute the mean squares and appropriate F statistic to test the null hypotheses of no effect from either factor at α = .05 (assumption: no interaction effect).

Accepted Answer

Factor A:a difference between the levels

Question 17

Which of the following is not an assumption for one-way analysis of variance?

Accepted Answer

A) The p populations of values of the response variable associated with the treatments have equal variances. 
B) The samples of experimental units associated with the treatments are randomly selected. 
C) The experimental units associated with the treatments are independent samples. 
D) The number of sampled observations must be equal for all p treatments. 
E) The distribution of the response variable is normal for all treatments. 
A) The p populations of values of the response variable associated with the treatments have equal variances. 
B) The samples of experimental units associated with the treatments are randomly selected. 
C) The experimental units associated with the treatments are independent samples. 
D) The number of sampled observations must be equal for all p treatments. 
E) The distribution of the response variable is normal for all treatments.

Question 18

In a 2-way ANOVA,if factor 1 has 'a' levels and factor 2 has 'b' levels,then there are a total of _______ treatments.

Accepted Answer

A) a + b 
B) a × b 
C) |a - b| 
D) a/b 
E) a 
A) a + b 
B) a × b 
C) |a - b| 
D) a/b 
E) a

Question 19

Which one of the following is not an assumption of one-way analysis of variance?

Accepted Answer

A) Random selection of samples from each population. 
B) Equality of the population variances. 
C) Equality of the population means. 
D) Samples selected from each treatment population all have normal distributions. 
A) Random selection of samples from each population. 
B) Equality of the population variances. 
C) Equality of the population means. 
D) Samples selected from each treatment population all have normal distributions.

Question 20

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

Accepted Answer

A) Randomized 
B) Tukey's 
C) Covariate 
D) Interacting 
A) Randomized 
B) Tukey's 
C) Covariate 
D) Interacting

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

The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

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

What is 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?

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 for the individual confidence intervals?

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

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

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

The 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey's 95 percent simultaneous confidence interval for μ₁ - μ₂.

A ___________ design,is an experimental design that compares "v" treatments by using "d" blocks,where each block is used exactly once to measure the effect of each treatment.

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

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degrees of freedom for error?

Which of the following is not an assumption for one-way analysis of variance?

In a 2-way ANOVA,if factor 1 has 'a' levels and factor 2 has 'b' levels,then there are a total of _______ treatments.

Which one of the following is not an assumption of one-way analysis of variance?

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

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

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

The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

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

What is 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?

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 for the individual confidence intervals?

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

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

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

The 95 percent individual confidence interval for μ1 - μ2 (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey's 95 percent simultaneous confidence interval for μ1 - μ2.

A ___________ design,is an experimental design that compares "v" treatments by using "d" blocks,where each block is used exactly once to measure the effect of each treatment.

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

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degrees of freedom for error?

Which of the following is not an assumption for one-way analysis of variance?

In a 2-way ANOVA,if factor 1 has 'a' levels and factor 2 has 'b' levels,then there are a total of _______ treatments.

Which one of the following is not an assumption of one-way analysis of variance?

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

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

The 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the Tukey's 95 percent simultaneous confidence interval for μ₁ - μ₂.