Question 1

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 2

The distribution of the test statistic for analysis of variance is the F-distribution.

Accepted Answer

A) True 
 B)False

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.)
  
-{TV News Viewing Habits Narrative} Set up the ANOVA Table.Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

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

Question 4

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; ind

Question 5

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

Accepted Answer

at least 2

Question 6

Tukey's multiple comparison method is ____________________ (more/less) powerful than Fisher's LSD method.

Accepted Answer

The answer of Tukey's multiple comparison method is ____________________ (more/less)...

Question 7

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 8

In a two-factor ANOVA, the total sum of squares is broken down into the sum of SS(A) + SS(B) + SSE + SS(____________________).

Accepted Answer

The answer of In a two-factor ANOVA, the total sum...

Question 9

The F-test in ANOVA requires that the random variable be ____________________ distributed with equal ____________________.

Accepted Answer

normally;

Question 10

We can use the F-test to determine whether $\mu$1 is greater than $\mu$2.

Accepted Answer

A) True 
 B)False

Question 11

In a two-factor ANOVA, there are 5 levels for factor A, 4 levels for factor B, and 3 observations for each combination of factor A and factor B levels.The number of treatments in this experiment equals 20.

Accepted Answer

A) True 
 B)False

Question 12

The sum of squares for error (SSE) measures the amount of variation that is explained by the ANOVA model, while the sum of squares for treatments (SST) measures the amount of variation that remains unexplained.

Accepted Answer

A) True 
 B)False

Question 13

How does conducting multiple t-tests compare to conducting a single F-test?

Accepted Answer

A)  Multiple t-tests increases the chance of a Type I error. 
B)  Multiple t-tests decreases the chance of a Type I error. 
C)  Multiple t-tests does not affect the chance of a Type I error. 
D)  This comparison cannot be made without knowing the number of populations. 
A)  Multiple t-tests increases the chance of a Type I error. 
B)  Multiple t-tests decreases the chance of a Type I error. 
C)  Multiple t-tests does not affect the chance of a Type I error. 
D)  This comparison cannot be made without knowing the number of populations.

Question 14

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.
  
-{GMAT Scores Narrative} Set up the ANOVA Table.Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

The answer of GMAT Scores
A recent college graduate is in...

Question 15

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 16

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.)
  
-{Arthritis Pain Formulas Narrative} Set up the ANOVA Table.Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

The answer of Arthritis Pain Formulas
A pharmaceutical manufacturer has been...

Question 17

In the one-way ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to, respectively:

Accepted Answer

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

Question 18

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.
  
-{Acid Reflux Narrative} Can we infer at the 5% significance level that the treatment means differ?

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂ = @#LAT-DLM&₃ = @#LAT-DLM&₄ = @#LAT-DLM&₅ vs.H₁: At least two means

Question 19

In ANOVA, the F-test is the ratio of two sample variances.In the one-way ANOVA (completely randomized design), the variance used as a numerator of the ratio is:

Accepted Answer

A)  mean square for treatments. 
B)  mean square for error. 
C)  total sum of squares. 
D)  None of these choices. 
A)  mean square for treatments. 
B)  mean square for error. 
C)  total sum of squares. 
D)  None of these choices.

Question 20

One example of a blocking variable is the dosage level that each subject is assigned to in a randomized experiment.

Accepted Answer

A) True 
 B)False

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.

The distribution of the test statistic for analysis of variance is the F-distribution.

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

Tukey's multiple comparison method is ____________________ (more/less) powerful than Fisher's LSD method.

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

In a two-factor ANOVA, the total sum of squares is broken down into the sum of SS(A) + SS(B) + SSE + SS(____________________).

The F-test in ANOVA requires that the random variable be distributed with equal .

We can use the F-test to determine whether $\mu$ ₁ is greater than $\mu$ ₂.

In a two-factor ANOVA, there are 5 levels for factor A, 4 levels for factor B, and 3 observations for each combination of factor A and factor B levels.The number of treatments in this experiment equals 20.

The sum of squares for error (SSE) measures the amount of variation that is explained by the ANOVA model, while the sum of squares for treatments (SST) measures the amount of variation that remains unexplained.

How does conducting multiple t-tests compare to conducting a single F-test?

When is the Tukey multiple comparison method used?

In the one-way ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to, respectively:

In ANOVA, the F-test is the ratio of two sample variances.In the one-way ANOVA (completely randomized design), the variance used as a numerator of the ratio is:

One example of a blocking variable is the dosage level that each subject is assigned to in a randomized experiment.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

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

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 14: Analysis of Variance

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.

The distribution of the test statistic for analysis of variance is the F-distribution.

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

Tukey's multiple comparison method is ____________________ (more/less) powerful than Fisher's LSD method.

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

In a two-factor ANOVA, the total sum of squares is broken down into the sum of SS(A) + SS(B) + SSE + SS(____________________).

The F-test in ANOVA requires that the random variable be ____________________ distributed with equal ____________________.

We can use the F-test to determine whether μ\muμ 1 is greater than μ\muμ 2.

In a two-factor ANOVA, there are 5 levels for factor A, 4 levels for factor B, and 3 observations for each combination of factor A and factor B levels.The number of treatments in this experiment equals 20.

The sum of squares for error (SSE) measures the amount of variation that is explained by the ANOVA model, while the sum of squares for treatments (SST) measures the amount of variation that remains unexplained.

How does conducting multiple t-tests compare to conducting a single F-test?

When is the Tukey multiple comparison method used?

In the one-way ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to, respectively:

In ANOVA, the F-test is the ratio of two sample variances.In the one-way ANOVA (completely randomized design), the variance used as a numerator of the ratio is:

One example of a blocking variable is the dosage level that each subject is assigned to in a randomized experiment.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

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

Simple Linear Regression and Correlation

Multiple Regression

Filters

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 F-test in ANOVA requires that the random variable be distributed with equal .

We can use the F-test to determine whether $\mu$ ₁ is greater than $\mu$ ₂.