Question 1

The variable of interest in an experiment is referred to as the ________ variable.

Accepted Answer

A)  categorical 
B)  regression 
C)  response 
D)  factor 
A)  categorical 
B)  regression 
C)  response 
D)  factor

Question 2

Consider the following one-way ANOVA table.
   What is the value of the F statistic?

Accepted Answer

F = 127.22
MS(Treatm

Question 3

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

Accepted Answer

Df error =

Question 4

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments. The response variable is sales in millions of dollars, and the four treatment levels represent the four regions that the company serves.
MSE = 101.25   = 39   = 33   = 43   = 49   = 31
Perform a pairwise comparison between treatment mean 3 and treatment mean 4 by computing a Tukey 90 percent simultaneous confidence interval.

Accepted Answer

[2.16, 33.

Question 5

Suppose you are a researcher investigating the annual sales differences among five categories of businesses. The study looks at 55 companies equally divided among categories A, B, C, D, and E.
Complete the following ANOVA table and determine the value of the F statistic.

Accepted Answer

F = 7.50
 @#IMG-DLM& SSE = SS total − SS treatment

Question 6

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.
   Determine the degrees of freedom for the blocks.

Accepted Answer

df blocks

Question 7

In one-way ANOVA, other factors being equal, the further apart the treatment means are from each other, the more likely we are to reject the null hypothesis associated with the ANOVA F test.

Accepted Answer

A) True 
 B)False

Question 8

What is the degrees of freedom error (within-group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group?

Accepted Answer

Error df = 56
Error

Question 9

Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below.
   Find an individual 95 percent confidence interval of the mean response of 25.1 obtained when using level 1 of factor A and level 2 of factor B.

Accepted Answer

[23.29, 26.91]
[25.1

Question 10

Which one of the following is not an assumption of one-way analysis of variance?

Accepted Answer

A)  random selection of samples from each population 
B)  equality of the population variances 
C)  equality of the population means 
D)  Samples selected from each treatment population all have normal distributions. 
A)  random selection of samples from each population 
B)  equality of the population variances 
C)  equality of the population means 
D)  Samples selected from each treatment population all have normal distributions.

Question 11

In performing a one-way ANOVA, ________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

Accepted Answer

A)  SS Error 
B)  SS Treatment 
C)  SS Total 
D)  SS Treatment/SS Error 
A)  SS Error 
B)  SS Treatment 
C)  SS Total 
D)  SS Treatment/SS Error

Question 12

Consider the following one-way ANOVA table.
   If there is an equal number of observations in each group, then each group (treatment level) consists of how many observations?

Accepted Answer

N = 6
N = Total df +

Question 13

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

Accepted Answer

A) True 
 B)False

Question 14

Find a Tukey simultaneous 95 percent confidence interval for μC − μB, where   = 51.5,   = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.

Accepted Answer

[−8.301, −.299]
51.5

Question 15

In a completely randomized (one-way) ANOVA, with other things being equal, as the sample means get closer to each other, the probability of rejecting the null hypothesis decreases.

Accepted Answer

A) True 
 B)False

Question 16

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for treatments?

Accepted Answer

df for tre

Question 17

When computing confidence intervals using the Tukey procedure, for all possible pairwise comparisons of means, the experimentwise error rate will be

Accepted Answer

A)  equal to α. 
B)  less than α. 
C)  greater than α. 
A)  equal to α. 
B)  less than α. 
C)  greater than α.

Question 18

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom total?

Accepted Answer

Total df = 79
Total

Question 19

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the

Accepted Answer

A)  treatment sum of squares. 
B)  error sum of squares. 
C)  sum of squares within-treatment. 
D)  total sum of squares. 
E)  interaction sum of squares. 
A)  treatment sum of squares. 
B)  error sum of squares. 
C)  sum of squares within-treatment. 
D)  total sum of squares. 
E)  interaction sum of squares.

Question 20

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments.
MSE = 101.25   = 39   = 33   = 43   = 49   = 31
Compute a 95 percent confidence interval for the second treatment mean.

Accepted Answer

[33.46, 52

The variable of interest in an experiment is referred to as the ________ variable.

Consider the following one-way ANOVA table. What is the value of the F statistic?

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

Suppose you are a researcher investigating the annual sales differences among five categories of businesses. The study looks at 55 companies equally divided among categories A, B, C, D, and E. Complete the following ANOVA table and determine the value of the F statistic.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for the blocks.

In one-way ANOVA, other factors being equal, the further apart the treatment means are from each other, the more likely we are to reject the null hypothesis associated with the ANOVA F test.

What is the degrees of freedom error (within-group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group?

Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below. Find an individual 95 percent confidence interval of the mean response of 25.1 obtained when using level 1 of factor A and level 2 of factor B.

Which one of the following is not an assumption of one-way analysis of variance?

In performing a one-way ANOVA, ________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

Consider the following one-way ANOVA table. If there is an equal number of observations in each group, then each group (treatment level) consists of how many observations?

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

Find a Tukey simultaneous 95 percent confidence interval for μ_C − μ_B, where = 51.5, = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.

In a completely randomized (one-way) ANOVA, with other things being equal, as the sample means get closer to each other, the probability of rejecting the null hypothesis decreases.

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for treatments?

When computing confidence intervals using the Tukey procedure, for all possible pairwise comparisons of means, the experimentwise error rate will be

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom total?

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments. MSE = 101.25 = 39 = 33 = 43 = 49 = 31 Compute a 95 percent confidence interval for the second treatment mean.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 12: Experimental Design and Analysis of Variance

The variable of interest in an experiment is referred to as the ________ variable.

Consider the following one-way ANOVA table. What is the value of the F statistic?

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

Suppose you are a researcher investigating the annual sales differences among five categories of businesses. The study looks at 55 companies equally divided among categories A, B, C, D, and E. Complete the following ANOVA table and determine the value of the F statistic.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for the blocks.

In one-way ANOVA, other factors being equal, the further apart the treatment means are from each other, the more likely we are to reject the null hypothesis associated with the ANOVA F test.

What is the degrees of freedom error (within-group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group?

Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below. Find an individual 95 percent confidence interval of the mean response of 25.1 obtained when using level 1 of factor A and level 2 of factor B.

Which one of the following is not an assumption of one-way analysis of variance?

In performing a one-way ANOVA, ________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

Consider the following one-way ANOVA table. If there is an equal number of observations in each group, then each group (treatment level) consists of how many observations?

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

Find a Tukey simultaneous 95 percent confidence interval for μC − μB, where = 51.5, = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.

In a completely randomized (one-way) ANOVA, with other things being equal, as the sample means get closer to each other, the probability of rejecting the null hypothesis decreases.

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for treatments?

When computing confidence intervals using the Tukey procedure, for all possible pairwise comparisons of means, the experimentwise error rate will be

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom total?

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations equally divided into 4 treatments. MSE = 101.25 = 39 = 33 = 43 = 49 = 31 Compute a 95 percent confidence interval for the second treatment mean.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Find a Tukey simultaneous 95 percent confidence interval for μ_C − μ_B, where = 51.5, = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.