Question 1

____________________ multiple comparison method is based on the Studentized range statistic.

Accepted Answer

The answer of ____________________ multiple comparison method is based on...

Question 2

In a(n)____________________ factorial experiment,data for all possible combinations of the levels of the factors are gathered.

Accepted Answer

The answer of In a(n)____________________ factorial experiment,data for all possible...

Question 3

TV News Viewing Habits
A statistician employed by a television rating service wanted to determine if there were differences in television viewing habits among three different cities in New York.She took a random sample of five adults in each of the cities and asked each to report the number of hours spent watching television in the previous week.The results are shown below.(Assume normal distributions with equal variances. )
 $$\begin{array}{l}
\text { Hour Spent Watehing News on Television }\
\begin{array} { c c c } 
\hline \text { Albany } & \text { Syracuse } & \text { Utica } \
\hline 25 & 28 & 23 \
31 & 33 & 18 \
18 & 35 & 21 \
23 & 29 & 17 \
27 & 36 & 15 \
\hline
\end{array}
\end{array}$$
-{TV News Viewing Habits Narrative} Set up the ANOVA Table.Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

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

Question 4

When is the Tukey multiple comparison method used?

Accepted Answer

A)  To test for normality. 
B)  To test for differences in pairwise means. 
C)  To test for equality of a group of population means. 
D)  To test equal variances. 
A)  To test for normality. 
B)  To test for differences in pairwise means. 
C)  To test for equality of a group of population means. 
D)  To test equal variances.

Question 5

Fisher's least significant difference (LSD)multiple comparison method is flawed because

Accepted Answer

A)  it will increase $\beta$;the probability of committing a Type II error 
B)  it will increase $\alpha$;the probability of committing a Type I error 
C)  it will increase both $\alpha$ and $\beta$,the probabilities of committing Type I and Type II errors,respectively. 
D)  None of these choices. 
A)  it will increase $\beta$;the probability of committing a Type II error 
B)  it will increase $\alpha$;the probability of committing a Type I error 
C)  it will increase both $\alpha$ and $\beta$,the probabilities of committing Type I and Type II errors,respectively. 
D)  None of these choices.

Question 6

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples,the degrees of freedom for treatments is given by:

Accepted Answer

A)  n - k 
B)  k - 1 
C)  n - 1 
D)  n - k + 1 
A)  n - k 
B)  k - 1 
C)  n - 1 
D)  n - k + 1

Question 7

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 2000,SST = 400,SSE = 200.The value of MSB must be 350.

Accepted Answer

A) True 
 B)False

Question 8

Conducting t-tests for each pair or population means is statistically equivalent to conducting one F-test comparing all the population means.

Accepted Answer

A) True 
 B)False

Question 9

Acid Reflux
A partial ANOVA table in a randomized block design is shown below,where the treatments refer to different acid reflux medicines,and the blocks refer to groups of men with similar levels of stomach acid.
 $$\begin{array} { | l | c c c c | } 
\hline \text { Source of Variation } & \mathbf { S S } & \boldsymbol { f } & \boldsymbol { M S } & \boldsymbol { F } \
\hline \text { Treatments } & * & 4 & * & * \
\text { Blocks } & 3,120 & 6 & * & * \
\text { Error } & * & * & 115& \
\hline \text { Total } &12,600 &34 &  & \
\hline
\end{array}$$
-{Acid Reflux Narrative} Can we infer at the 5% significance level that the block means differ?

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂

Question 10

When the objective is to compare more than two populations,the experimental design that is the counterpart of the matched pairs experiment is called a:

Accepted Answer

A)  completely randomized design. 
B)  one-way ANOVA design. 
C)  randomized block design. 
D)  None of these choices. 
A)  completely randomized design. 
B)  one-way ANOVA design. 
C)  randomized block design. 
D)  None of these choices.

Question 11

If there is enough evidence to conclude that there is interaction in a two-factor ANOVA,do not proceed to conduct the F-tests for each factor individually.

Accepted Answer

A) True 
 B)False

Question 12

In a two-factor ANOVA,the sum of squares due to both factors,the interaction sum of squares,and the error sum of squares must all add up to the total sum of squares.

Accepted Answer

A) True 
 B)False

Question 13

In a completely randomized design for ANOVA,the numerator and denominator degrees of freedom are 4 and 25,respectively.The total number of observations must equal:

Accepted Answer

A)  24 
B)  25 
C)  29 
D)  30 
A)  24 
B)  25 
C)  29 
D)  30

Question 14

In a two-factor ANOVA,there are 4 levels for factor A and 5 levels for factor B,and two observations within each cell.The number of treatments in this experiment is 40.

Accepted Answer

A) True 
 B)False

Question 15

GMAT Scores
A recent college graduate is in the process of deciding which one of three graduate schools he should apply to.He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following GMAT scores.Assume that the data are normally distributed with equal variances for each school.
 $$\begin{array}{l}
\text { GMAT SEons }\
\begin{array} { c c c } 
\hline \text { School 1 } & \text { School 2 } & \text { School 3 } \
\hline 650 & 105 & 590 \
620 & 550 & 510 \
630 & 700 & 520 \
580 & 630 & 500 \
710 & 600 & 490 \
690 & 650 & 530 \
\hline
\end{array}
\end{array}$$
-{GMAT Scores Narrative} Can he infer at the 10% significance level that the GMAT scores differ among the three schools?

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂

Question 16

Keyboard Configuration and Size
The data shown below were taken from a 2 * 3 factorial experiment to examine the effects of factor A (keyboard configuration,3 levels)and factor B (keyboard size,2 levels)on typing speed.Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes).
 $$\begin{array}{l}
\quad\quad\quad\quad\quad\text { Factor } B\
\begin{array} { | c | c c | } 
\hline \text { Factor } A & 1 & 2 \
\hline 1 & 26 & 24 \
& 19 & 21 \
& 20 & 20 \
2 & 21 & 23 \
& 30 & 33 \
& 24 & 27 \
& 25 & 31 \
& 29 & 29 \
& 26 & 31 \
& 22 & 23 \
& 27 & 24 \
& 17 & 26 \
\hline
\end{array}
\end{array}$$
-{Keyboard Configuration and Size Narrative} Test at the 5% significance level to determine if time differences exist among the keyboard sizes.

Accepted Answer

H₀: No difference in means am

Question 17

If you plan to compare all possible combinations of pairs of population means,the multiple comparison method to use is ____________________ method.

Accepted Answer

The answer of If you plan to compare all possible...

Question 18

Which of the following is true of Tukey's Multiple Comparison Method?

Accepted Answer

A)  It is based on the studentized range statistic to obtain the critical value needed to construct individual confidence intervals. 
B)  It theoretically requires that all sample sizes be equal,or at least similar. 
C)  It is more powerful than the LSD method. 
D)  All of these choices are true. 
A)  It is based on the studentized range statistic to obtain the critical value needed to construct individual confidence intervals. 
B)  It theoretically requires that all sample sizes be equal,or at least similar. 
C)  It is more powerful than the LSD method. 
D)  All of these choices are true.

Question 19

In a one-way ANOVA,error variability is computed as the sum of the squared errors,SSE,for all values of the response variable.This variability is the:

Accepted Answer

A)  the total variation. 
B)  within-treatments variation. 
C)  between-treatments variation. 
D)  None of these choices. 
A)  the total variation. 
B)  within-treatments variation. 
C)  between-treatments variation. 
D)  None of these choices.

Question 20

The sum of squares for treatments,SST,achieves its smallest value (zero)when all the sample means are equal.

Accepted Answer

A) True 
 B)False

Exam 14: Analysis of Variance

____________________ multiple comparison method is based on the Studentized range statistic.

In a(n)____________________ factorial experiment,data for all possible combinations of the levels of the factors are gathered.

When is the Tukey multiple comparison method used?

Fisher's least significant difference (LSD)multiple comparison method is flawed because

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples,the degrees of freedom for treatments is given by:

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 2000,SST = 400,SSE = 200.The value of MSB must be 350.

Conducting t-tests for each pair or population means is statistically equivalent to conducting one F-test comparing all the population means.

When the objective is to compare more than two populations,the experimental design that is the counterpart of the matched pairs experiment is called a:

If there is enough evidence to conclude that there is interaction in a two-factor ANOVA,do not proceed to conduct the F-tests for each factor individually.

In a two-factor ANOVA,the sum of squares due to both factors,the interaction sum of squares,and the error sum of squares must all add up to the total sum of squares.

In a completely randomized design for ANOVA,the numerator and denominator degrees of freedom are 4 and 25,respectively.The total number of observations must equal:

In a two-factor ANOVA,there are 4 levels for factor A and 5 levels for factor B,and two observations within each cell.The number of treatments in this experiment is 40.

If you plan to compare all possible combinations of pairs of population means,the multiple comparison method to use is ____________________ method.

Which of the following is true of Tukey's Multiple Comparison Method?

In a one-way ANOVA,error variability is computed as the sum of the squared errors,SSE,for all values of the response variable.This variability is the:

The sum of squares for treatments,SST,achieves its smallest value (zero)when all the sample means are equal.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters