Question 1

When the F-test is used for ANOVA,the rejection region is always in the right tail.

Accepted Answer

A) True 
 B)False

Question 2

In a two-factor ANOVA,always test for ____________________ first.

Accepted Answer

The answer of In a two-factor ANOVA,always test for ____________________...

Question 3

In employing the randomized block design,the primary interest lies in reducing sum of squares for blocks (SSB).

Accepted Answer

A) True 
 B)False

Question 4

Arthritis Pain Formulas
A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain.Their laboratories have produced three different medications and they want to determine if the different medications produce different responses.Fifteen people who complained of arthritis pains were recruited for an experiment;five were randomly assigned to each medication.Each person was asked to take the medicine and report the length of time until some relief was felt (minutes).The results are shown below.(Assume normal distributions with equal variances. )
 $$\begin{array}{l}
\text { Time in Minutes Whtil pelef is Felt (min) }\
\begin{array} { | c c c | } 
\hline \text { Medication 1 } & \text { Medication 2 } & \text { Medication } 3 \
\hline 4 & 2 & 6 \
8 & 5 & 7 \
6 & 3 & 7 \
9 & 7 & 8 \
8 & 1 & 0 \
\hline
\end{array}
\end{array}$$
-{Arthritis Pain Formulas Narrative} Do these data provide sufficient evidence to indicate that differences in the average time of relief exist among the three medications? Use $\alpha$ = 0.05.

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂

Question 5

The F-test of the randomized block design of the analysis of variance has the same requirements as the independent samples design;that is,the random variable must be normally distributed and the population variances must be equal.

Accepted Answer

A) True 
 B)False

Question 6

Consider the following partial ANOVA table: $$\begin{array} { | l | c c c c | } 
\hline \text { Source of Variation } & 5 & \boldsymbol { G } & \boldsymbol { M S } & \boldsymbol { F } \
\hline \text { Treatments } & 75 & * & 25 & 6.67 \
\text { Errar } & 60 & * & 3.75 & \
\hline \text { Total } & 135 & 19 & & \
\hline
\end{array}$$ The numerator and denominator degrees of freedom for the F-test (identified by asterisks)are

Accepted Answer

A)  4 and 15 
B)  3 and 16 
C)  15 and 4 
D)  16 and 3 
A)  4 and 15 
B)  3 and 16 
C)  15 and 4 
D)  16 and 3

Question 7

The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

Accepted Answer

The answer of The ____________________ adjustment used with the LSD...

Question 8

The numerator and denominator degrees of freedom for the F-test in a one-way ANOVA are,respectively,

Accepted Answer

A)  (n - k)and (k - 1) 
B)  (k - 1)and (n - k) 
C)  (k - n)and (n - 1) 
D)  (n -1)and (k - n) 
A)  (n - k)and (k - 1) 
B)  (k - 1)and (n - k) 
C)  (k - n)and (n - 1) 
D)  (n -1)and (k - n)

Question 9

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}
a.
Create the ANOVA table.
b.
Is there sufficient evidence at the 5% significance level to infer that factors A and B interact?

Accepted Answer

a.
Source of Variation
SS
df
MS
F
P-valu

Question 10

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} Fill in the missing values (identified by asterisks)in the above ANOVA Table.

Accepted Answer

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

Question 11

When we perform a blocked experiment by using the same subject for each treatment,this is called a(n)____________________ design.

Accepted Answer

The answer of When we perform a blocked experiment by...

Question 12

In one-way ANOVA,the term $\bar{\bar { x }}$ refers to the:

Accepted Answer

A)  weighted average of the sample means. 
B)  sum of the sample means divided by the total number of observations. 
C)  sum of the population means. 
D)  sum of the sample means. 
A)  weighted average of the sample means. 
B)  sum of the sample means divided by the total number of observations. 
C)  sum of the population means. 
D)  sum of the sample means.

Question 13

Which of the following statements about multiple comparison methods is false?

Accepted Answer

A)  They are to be use once the F-test in ANOVA has been rejected. 
B)  They are used to determine which particular population means differ. 
C)  There are many different multiple comparison methods but all yield the same conclusions. 
D)  All of these choices are true. 
A)  They are to be use once the F-test in ANOVA has been rejected. 
B)  They are used to determine which particular population means differ. 
C)  There are many different multiple comparison methods but all yield the same conclusions. 
D)  All of these choices are true.

Question 14

The F-statistic in a one-way ANOVA represents the variation within the treatments divided by the variation between the treatments.

Accepted Answer

A) True 
 B)False

Question 15

In the randomized block design ANOVA,the sum of squares for error equals:

Accepted Answer

A)  SS(Total)- SST 
B)  SS(Total)- SSB 
C)  SS(Total)-SST - SSB 
D)  None of these choices. 
A)  SS(Total)- SST 
B)  SS(Total)- SSB 
C)  SS(Total)-SST - SSB 
D)  None of these choices.

Question 16

The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

Accepted Answer

Question 17

The F-test statistic in a one-way ANOVA is equal to:

Accepted Answer

A)  MST/MSE 
B)  SST/SSE 
C)  MSE/MST 
D)  SSE/SST 
A)  MST/MSE 
B)  SST/SSE 
C)  MSE/MST 
D)  SSE/SST

Question 18

In a completely randomized design,15 experimental units were assigned to each of four treatments.Fill in the blanks (identified by asterisks)in the partial ANOVA table shown below.
 $$\begin{array} { | l | c c c c | } 
\hline \text { Source of Variation } & \mathbf { 5 } & \boldsymbol { H } & \mathbf { M S } & \boldsymbol { F } \
\hline \text { Treatments } & * & * & 240 &* \
\text { Error } & * & * & * & \
\hline \text { Total } & 2512 & * & & \
\hline
\end{array}$$

Accepted Answer

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

Question 19

Consider the following ANOVA table: $$\begin{array} { | l | r c c c | } 
\hline \text { Source of Variation } & \mathbf { SS } &  { \boldsymbol { df } } & \boldsymbol { M S } & \boldsymbol { F } \
\hline \text { Treatments } & 4 & 2 & 2.0 & 0.80 \
\text { Error } & 30 & 12 & 2.5 & \
\hline \text { Total } & 34 & 14 & & \
\hline
\end{array}$$ The number of treatments is

Accepted Answer

A)  13 
B)  5 
C)  3 
D)  12 
A)  13 
B)  5 
C)  3 
D)  12

Question 20

In employing the randomized block design,the primary interest lies in reducing sum of squares for ____________________.

Accepted Answer

The answer of In employing the randomized block design,the primary...

Exam 14: Analysis of Variance

When the F-test is used for ANOVA,the rejection region is always in the right tail.

In a two-factor ANOVA,always test for ____________________ first.

In employing the randomized block design,the primary interest lies in reducing sum of squares for blocks (SSB).

The F-test of the randomized block design of the analysis of variance has the same requirements as the independent samples design;that is,the random variable must be normally distributed and the population variances must be equal.

Consider the following partial ANOVA table: Source of Variation 5 Treatments 75 * 25 6.67 Errar 60 * 3.75 Total 135 19 The numerator and denominator degrees of freedom for the F-test (identified by asterisks)are

The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

The numerator and denominator degrees of freedom for the F-test in a one-way ANOVA are,respectively,

When we perform a blocked experiment by using the same subject for each treatment,this is called a(n)____________________ design.

In one-way ANOVA,the term xˉˉ\bar{\bar { x }}xˉˉ refers to the:

Which of the following statements about multiple comparison methods is false?

The F-statistic in a one-way ANOVA represents the variation within the treatments divided by the variation between the treatments.

In the randomized block design ANOVA,the sum of squares for error equals:

The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

The F-test statistic in a one-way ANOVA is equal to:

In a completely randomized design,15 experimental units were assigned to each of four treatments.Fill in the blanks (identified by asterisks)in the partial ANOVA table shown below. Source of Variation Treatments * * 240 * Error * * * Total 2512 *

Consider the following ANOVA table: Source of Variation Treatments 4 2 2.0 0.80 Error 30 12 2.5 Total 34 14 The number of treatments is

In employing the randomized block design,the primary interest lies in reducing sum of squares for ____________________.

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

In one-way ANOVA,the term $\bar{\bar { x }}$ refers to the:

The F-test statistic in ANOVA is equal to MS divided by MS and H₀ is rejected for values of F.