Question 1

A complete 3  x 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.

Question 2

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

Accepted Answer

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

Question 3

Tukey's multiple comparison method is based on the Studentized range statistic.

Accepted Answer

A) True 
 B)False

Question 4

If our analysis includes all possible levels of a factor, the technique for analyzing the data is called a(n) ____________________-effects ANOVA.

Accepted Answer

The answer of If our analysis includes all possible levels...

Question 5

A(n) ____________________ experiment requires that the sample size for each treatment be equal.

Accepted Answer

The answer of A(n) ____________________ experiment requires that the sample...

Question 6

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 7

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

Accepted Answer

A) True 
 B)False

Question 8

The null hypothesis of ANOVA is that all the population means are ____________________.

Accepted Answer

The answer of The null hypothesis of ANOVA is that...

Question 9

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)

Question 10

A complete factorial experiment is an experiment in which the number of replicates is the same for each treatment on which data is collected.

Accepted Answer

A) True 
 B)False

Question 11

Which of the following is true regarding SSB?

Accepted Answer

A)  SSB stands for sum of squares for blocks. 
B)  SSB can help to reduce SSE. 
C)  SSB can help make it easier to determine whether differences exist between the treatment means. 
D)  All of these choices are true.

Question 12

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 13

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 14

The Bonferroni adjustment decreases the experimentwise Type I error rate, but it increases the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 15

In one-way analysis of variance, if all the sample means are equal, then the:

Accepted Answer

A)  total sum of squares is zero. 
B)  sum of squares for treatments is zero. 
C)  sum of squares for error is zero. 
D)  sum of squares for error equals sum of squares for treatments.

Question 16

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.
 
-{Motorcycle Repair Cost Narrative} Set up the ANOVA Table.Use $\alpha$ = 0.05 to determine the critical values.

Accepted Answer

The answer of Motorcycle Repair Cost
Motorcycle insurance appraisers examine motorcycles...

Question 17

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.)
 
-{TV News Viewing Habits Narrative} Can she infer at the 5% significance level that differences in hours of television watching exist among the three cities?

Accepted Answer

The answer of TV News Viewing Habits
A statistician employed by...

Question 18

Migraine Treatments
The following data were generated from a 2  x2 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.
 
-{Migraine Treatments Narrative} Test at the 5% significance level to determine if differences exist among the levels of factor A.

Accepted Answer

The answer of Migraine Treatments
The following data were generated from...

Question 19

SSE measures the variation ____________________ treatments.

Accepted Answer

The answer of SSE measures the variation ____________________ treatments....

Question 20

In a two-factor ANOVA, always test for interaction last.

Accepted Answer

A) True 
 B)False

Exam 14: Analysis of Variance

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

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

Tukey's multiple comparison method is based on the Studentized range statistic.

If our analysis includes all possible levels of a factor, the technique for analyzing the data is called a(n) ____________________-effects ANOVA.

A(n) ____________________ experiment requires that the sample size for each treatment be equal.

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.

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

The null hypothesis of ANOVA is that all the population means are ____________________.

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

A complete factorial experiment is an experiment in which the number of replicates is the same for each treatment on which data is collected.

Which of the following is true regarding SSB?

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.

The Bonferroni adjustment decreases the experimentwise Type I error rate, but it increases the probability of a Type II error.

In one-way analysis of variance, if all the sample means are equal, then the:

SSE measures the variation ____________________ treatments.

In a two-factor ANOVA, always test for interaction last.