Question 1

Fisher's least significant difference method (LSD)substitutes the pooled variance estimator from the equal variances t-test with the MSE from ANOVA.

Accepted Answer

A) True 
 B)False

Question 2

If the numerator (MST)degrees of freedom is 3 and the denominator (MSE)degrees of freedom is 18,the total number of observations must equal 21.

Accepted Answer

A) True 
 B)False

Question 3

SSE in the independent samples design is equal to the sum of SS____________________ and SS____________________ in the randomized block design.

Accepted Answer

The answer of SSE in the independent samples design is...

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} 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 5

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

Accepted Answer

A) True 
 B)False

Question 6

SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

Accepted Answer

A) True 
 B)False

Question 7

The F-test in ANOVA tests whether or not the population variances are equal.

Accepted Answer

A) True 
 B)False

Question 8

LSAT Scores
A recent college graduate is in the process of deciding which one of three Law schools he should apply to.He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following LSAT scores.An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools.
 $$\begin{array}{l}
\text { LSAT  Scores }\
\begin{array} { c c c } 
\hline \text { School 1 } & \text { School 2 } & \text { School 3 } \
\hline 650 & 510 & 590 \
620 & 550 & 510 \
630 & 700 & 520 \
580 & 630 & 500 \
710 & 600 & 490 \
690 & 650 & 530 \
\hline
\end{array}
\end{array}$$
-{LSAT Scores Narrative} Use Fisher's LSD method with $\alpha$= 0.05 to determine which school's means differ.

Accepted Answer

LSD = 64.65
 \[\begin{array} { c c | c c

Question 9

The equation: SS(Total)= SS(A)+ SS(B)+ SS(AB)+ SSE applies to which ANOVA model?

Accepted Answer

A)  One-way ANOVA with 2 treatments. 
B)  Two-factor ANOVA with interaction. 
C)  Two-factor ANOVA with no interaction. 
D)  None of these choices. 
A)  One-way ANOVA with 2 treatments. 
B)  Two-factor ANOVA with interaction. 
C)  Two-factor ANOVA with no interaction. 
D)  None of these choices.

Question 10

The alternative hypothesis of ANOVA is that ____________________ population means are different.

Accepted Answer

at least 2

Question 11

A complete 3 * 2 factorial experiment is called balanced if:

Accepted Answer

A)  data is collected at all three levels of factor A. 
B)  data is collected at both levels of factor B. 
C)  the number of replicates is the same for each of the 6 treatments. 
D)  None of these choices. 
A)  data is collected at all three levels of factor A. 
B)  data is collected at both levels of factor B. 
C)  the number of replicates is the same for each of the 6 treatments. 
D)  None of these choices.

Question 12

In a single-factor analysis of variance,MST is the mean square for treatments and MSE is the mean square for error.The null hypothesis of equal population means is rejected if:

Accepted Answer

A)  MST is much larger than MSE. 
B)  MST is much smaller than MSE. 
C)  MST is equal to MSE. 
D)  None of these choices. 
A)  MST is much larger than MSE. 
B)  MST is much smaller than MSE. 
C)  MST is equal to MSE. 
D)  None of these choices.

Question 13

Motorcycle Repair Cost
Motorcycle insurance appraisers examine motorcycles that have been involved in accidental collisions and estimate the cost of repairs.An insurance executive claims that there are significant differences in the estimates from different appraisers.To support his claim he takes a random sample of six motorcycles that have recently been damaged in accidents.Three appraisers then estimate the repair costs of all six motorcycles.The data are shown below.
 $$\begin{array}{l}
\text { Bstimatad Repair Cost }\
\begin{array} { | c | c c c | } 
\hline \text { Motorcycles } & \text { Appraiser 1 } & \text { Appraiser 2 } & \text { Appraiser 3 } \
\hline 1 & 650 & 600 & 750 \
2 & 930 & 910 & 1010 \
3 & 440 & 450 & 500 \
4 & 750 & 710 & 810 \
5 & 1190 & 1050 & 1250 \
6 & 1560 & 1270 & 1450 \
\hline
\end{array}
\end{array}$$
-{Motorcycle Repair Cost Narrative} Can we infer at the 5% significance level that the executive's claim is true?

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂

Question 14

One-way ANOVA is applied to independent samples taken from four normally distributed populations with equal variances.If the null hypothesis is rejected,then we can infer that

Accepted Answer

A)  all population means are equal. 
B)  all population means differ. 
C)  at least two population means are equal. 
D)  at least two population means differ. 
A)  all population means are equal. 
B)  all population means differ. 
C)  at least two population means are equal. 
D)  at least two population means differ.

Question 15

The F-test used in one-way ANOVA is an extension of the t-test of $\mu$1 - $\mu$2.

Accepted Answer

A) True 
 B)False

Question 16

The required conditions for a two-factor ANOVA are that the distribution of the response is ____________________ distributed;the variance for each treatment is ____________________;and the samples are ____________________.

Accepted Answer

normally;equal;indep

Question 17

The ANOVA procedure tests to determine whether differences exist between two or more population ____________________.

Accepted Answer

The answer of The ANOVA procedure tests to determine whether...

Question 18

A balanced experiment requires that the sample size for each treatment be equal.

Accepted Answer

A) True 
 B)False

Question 19

Migraine Treatments
The following data were generated from a 2*2 factorial experiment with 3 replicates,where factor A levels represent two different injection procedures of an anesthetic to the occipital nerve (located in the back of the neck),and factor B levels represent two different drugs,which physicians recommend to increase the effectiveness of the injections.Three migraine patients were randomly selected for each combination of injection and drug.
 $$\begin{array} { | c | c c | } 
 &\text { Factor B }\
\hline \text { Factor A } & 1 & 2 \
\hline 1 & 7 & 13 \
& 10 & 11 \
& 8 & 12 \
2 & 10 & 10 \
& 11 & 15 \
& 0 & 11 \
\hline
\end{array}$$
-{Migraine Treatments Narrative}
a.
Create the ANOVA table.
b.
Test at the 5% significance level to determine if factors A and B interact.

Accepted Answer

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

Question 20

In one-way analysis of variance,between-treatments variation is measured by the:

Accepted Answer

A)  SSE 
B)  SS(Total) 
C)  SST 
D)  standard deviation 
A)  SSE 
B)  SS(Total) 
C)  SST 
D)  standard deviation

Exam 14: Analysis of Variance

Fisher's least significant difference method (LSD)substitutes the pooled variance estimator from the equal variances t-test with the MSE from ANOVA.

If the numerator (MST)degrees of freedom is 3 and the denominator (MSE)degrees of freedom is 18,the total number of observations must equal 21.

SSE in the independent samples design is equal to the sum of SS____________________ and SS____________________ in the randomized block design.

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

The F-test in ANOVA tests whether or not the population variances are equal.

The equation: SS(Total)= SS(A)+ SS(B)+ SS(AB)+ SSE applies to which ANOVA model?

The alternative hypothesis of ANOVA is that ____________________ population means are different.

A complete 3 * 2 factorial experiment is called balanced if:

In a single-factor analysis of variance,MST is the mean square for treatments and MSE is the mean square for error.The null hypothesis of equal population means is rejected if:

One-way ANOVA is applied to independent samples taken from four normally distributed populations with equal variances.If the null hypothesis is rejected,then we can infer that

The F-test used in one-way ANOVA is an extension of the t-test of μ\muμ 1 - μ\muμ 2.

The required conditions for a two-factor ANOVA are that the distribution of the response is ____________________ distributed;the variance for each treatment is ____________________;and the samples are ____________________.

The ANOVA procedure tests to determine whether differences exist between two or more population ____________________.

A balanced experiment requires that the sample size for each treatment be equal.

In one-way analysis of variance,between-treatments variation is measured by the:

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

SSE in the independent samples design is equal to the sum of SS and SS in the randomized block design.

The F-test used in one-way ANOVA is an extension of the t-test of $\mu$ ₁ - $\mu$ ₂.

The required conditions for a two-factor ANOVA are that the distribution of the response is distributed;the variance for each treatment is ;and the samples are .