Question 1

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

Accepted Answer

normally;

Question 2

When the problem objective is to compare more than two populations,the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

Accepted Answer

A) True 
 B)False

Question 3

Consider the following partial ANOVA table:   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 4

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 5

In Fisher's least significant difference (LSD)multiple comparison method,the LSD value will be the same for all pairs of means if:

Accepted Answer

A) all sample sizes are the same. 
B) all sample means are the same. 
C) all population means are the same. 
D) None of these choices. 
A) all sample sizes are the same. 
B) all sample means are the same. 
C) all population means are the same. 
D) None of these choices.

Question 6

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 7

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 8

We use the analysis of variance (ANOVA)technique to compare two or more population means.

Accepted Answer

A) True 
 B)False

Question 9

In the randomized block design for ANOVA,where k is the number of treatments and b is the number of blocks,the number of degrees of freedom for error is:

Accepted Answer

A) k − b 
B) kb − 1 
C) n − k − b + 1 
D) None of these choices. 
A) k − b 
B) kb − 1 
C) n − k − b + 1 
D) None of these choices.

Question 10

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 11

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 12

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 13

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 14

In ANOVA,a criterion by which the populations are classified is called a factor.

Accepted Answer

A) True 
 B)False

Question 15

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 1,951,SST = 349,SSE = 188 .The value of SSB must be:

Accepted Answer

A) 537 
B) 1,763 
C) 1,414 
D) 1,602 
A) 537 
B) 1,763 
C) 1,414 
D) 1,602

Question 16

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 17

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 18

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

Accepted Answer

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

Question 19

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 20

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.   ​ ​
-{Migraine Treatments Narrative} Test at the 5% significance level to determine if differences exist among the levels of factor A.

Accepted Answer

H₀: No difference among the means of the

Exam 14: Analysis of Variance

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

When the problem objective is to compare more than two populations,the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

Consider the following partial ANOVA table: The numerator and denominator degrees of freedom for the F-test (identified by asterisks)are

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

In Fisher's least significant difference (LSD)multiple comparison method,the LSD value will be the same for all pairs of means if:

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

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:

We use the analysis of variance (ANOVA)technique to compare two or more population means.

In the randomized block design for ANOVA,where k is the number of treatments and b is the number of blocks,the number of degrees of freedom for error is:

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:

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

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.

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.

In ANOVA,a criterion by which the populations are classified is called a factor.

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 1,951,SST = 349,SSE = 188 .The value of SSB must be:

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.

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

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

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

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

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

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

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