Question 1

A sum of squares that measures the variability among the sample means 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. A

Question 2

The F test for testing the difference between means is equal to the ratio of Mean Square _____________ over Mean Square __________________.

Accepted Answer

A)  Treatment,Error 
B)  Error,Treatment 
C)  Treatment,Total 
D)  Error,Total 
A)  Treatment,Error 
B)  Error,Treatment 
C)  Treatment,Total 
D)  Error,Total A

Question 3

In the one-way ANOVA,the treatment sum of squares equals

Accepted Answer

A)  SSTO − SS(error)− SS(interaction). 
B)  SSTO − SS(factor 1)− SSE. 
C)  SSTO − SS(interaction)− SS(factor 1)− SS(factor 2). 
D)  SSTO − SS(factor 1)− SS(factor 2). 
E)  SSTO − SS(error). 
A)  SSTO − SS(error)− SS(interaction). 
B)  SSTO − SS(factor 1)− SSE. 
C)  SSTO − SS(interaction)− SS(factor 1)− SS(factor 2). 
D)  SSTO − SS(factor 1)− SS(factor 2). 
E)  SSTO − SS(error). E

Question 4

In one-way ANOVA,the total sum of squares is equal to _______________________.

Accepted Answer

A)  Treatment SS + Error SS 
B)  Treatment SS − Error SS 
C)  Treatment SS × Error SS 
D)  Treatment SS/Error SS 
A)  Treatment SS + Error SS 
B)  Treatment SS − Error SS 
C)  Treatment SS × Error SS 
D)  Treatment SS/Error SS

Question 5

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

Accepted Answer

A)  one-way ANOVA 
B)  two-way ANOVA 
C)  randomized block 
D)  balanced complete factorial 
A)  one-way ANOVA 
B)  two-way ANOVA 
C)  randomized block 
D)  balanced complete factorial

Question 6

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 7

In a completely randomized ANOVA,with other things equal,as the sample means get closer to each other,the probability of rejecting the null hypothesis

Accepted Answer

A)  decreases. 
B)  increases. 
C)  is unaffected. 
A)  decreases. 
B)  increases. 
C)  is unaffected.

Question 8

After analyzing a data set using the one-way ANOVA model,the same data are analyzed using the randomized block design ANOVA model.SS (Treatment)in the one-way ANOVA model is _______________ the SS (Treatment)in the randomized block design ANOVA model.

Accepted Answer

A)  always equal to 
B)  always greater than 
C)  always less than 
D)  sometimes greater than 
A)  always equal to 
B)  always greater than 
C)  always less than 
D)  sometimes greater than

Question 9

The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

Accepted Answer

A)  randomly selected 
B)  the same 
C)  different 
D)  representative 
E)  equally timed 
A)  randomly selected 
B)  the same 
C)  different 
D)  representative 
E)  equally timed

Question 10

The dependent variable,the variable of interest in an experiment,is also called the ___________ variable.

Accepted Answer

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

Question 11

In a 2-way ANOVA,if factor 1 has a levels and factor 2 has b levels,then there are a total of _______ treatments.

Accepted Answer

A)  a + b 
B)  a × b 
C)  |a − b| 
D)  a/b 
E)  a 
A)  a + b 
B)  a × b 
C)  |a − b| 
D)  a/b 
E)  a

Question 12

The experimentwise α for the 95 percent individual confidence interval for μ1 − μ2 (treatment mean 1 − treatment mean 2)will always be smaller than the experimentwise α for a Tukey 95 percent simultaneous confidence interval for μ1 − μ2.

Accepted Answer

A) True 
 B)False

Question 13

___________ refers to applying a treatment to more than one experimental unit.

Accepted Answer

A)  Randomization 
B)  Balanced experiment 
C)  One-way ANOVA 
D)  Replication 
A)  Randomization 
B)  Balanced experiment 
C)  One-way ANOVA 
D)  Replication

Question 14

When computing individual confidence intervals using the t statistic,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 15

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

Accepted Answer

A)  The p populations of values of the response variable associated with the treatments have equal variances. 
B)  The samples of experimental units associated with the treatments are randomly selected. 
C)  The experimental units associated with the treatments are independent samples. 
D)  The number of sampled observations must be equal for all p treatments. 
E)  The distribution of the response variable is normal for all treatments. 
A)  The p populations of values of the response variable associated with the treatments have equal variances. 
B)  The samples of experimental units associated with the treatments are randomly selected. 
C)  The experimental units associated with the treatments are independent samples. 
D)  The number of sampled observations must be equal for all p treatments. 
E)  The distribution of the response variable is normal for all treatments.

Question 16

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 17

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to

Accepted Answer

A)  (Total sum of squares)− (Sum of squares within columns). 
B)  (Sum of squares between columns)/(c − 1). 
C)  (Total sum of squares)− [(Sum of squares within columns)/(n − c)]. 
D)  [(Total sum of squares)/(n − 1)] − [(Sum of squares between columns)/(c − 1)]. 
A)  (Total sum of squares)− (Sum of squares within columns). 
B)  (Sum of squares between columns)/(c − 1). 
C)  (Total sum of squares)− [(Sum of squares within columns)/(n − c)]. 
D)  [(Total sum of squares)/(n − 1)] − [(Sum of squares between columns)/(c − 1)].

Question 18

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

Accepted Answer

A)  closer to 1 
B)  closer to 0 
C)  larger 
D)  smaller 
A)  closer to 1 
B)  closer to 0 
C)  larger 
D)  smaller

Question 19

After rejecting the null hypothesis of equal treatments,a researcher decided to compute a 95 percent confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on the Tukey procedure.At α = .05,if the confidence interval includes the value of zero,then we can reject the hypothesis that the two population means are equal.

Accepted Answer

A) True 
 B)False

Question 20

In performing a one-way ANOVA,the _________ is the between-group variance.

Accepted Answer

A)  MS Error 
B)  MS Treatment 
C)  SS Error 
D)  SS Treatment 
A)  MS Error 
B)  MS Treatment 
C)  SS Error 
D)  SS Treatment

A sum of squares that measures the variability among the sample means is referred to as the

The F test for testing the difference between means is equal to the ratio of Mean Square _ over Mean Square ______.

In the one-way ANOVA,the treatment sum of squares equals

In one-way ANOVA,the total sum of squares is equal to _______________________.

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

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

In a completely randomized ANOVA,with other things equal,as the sample means get closer to each other,the probability of rejecting the null hypothesis

After analyzing a data set using the one-way ANOVA model,the same data are analyzed using the randomized block design ANOVA model.SS (Treatment)in the one-way ANOVA model is _______________ the SS (Treatment)in the randomized block design ANOVA model.

The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

The dependent variable,the variable of interest in an experiment,is also called the ___________ variable.

In a 2-way ANOVA,if factor 1 has a levels and factor 2 has b levels,then there are a total of _______ treatments.

The experimentwise α for the 95 percent individual confidence interval for μ₁ − μ₂ (treatment mean 1 − treatment mean 2)will always be smaller than the experimentwise α for a Tukey 95 percent simultaneous confidence interval for μ₁ − μ₂.

___________ refers to applying a treatment to more than one experimental unit.

When computing individual confidence intervals using the t statistic,for all possible pairwise comparisons of means,the experimentwise error rate will be

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

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.

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

In performing a one-way ANOVA,the _________ is the between-group variance.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences for Means and Proportions

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 11: Statistical Inferences for Population Variances

A sum of squares that measures the variability among the sample means is referred to as the

The F test for testing the difference between means is equal to the ratio of Mean Square _____________ over Mean Square __________________.

In the one-way ANOVA,the treatment sum of squares equals

In one-way ANOVA,the total sum of squares is equal to _______________________.

In a ___________________ experimental design,independent random samples of experimental units are assigned to the treatments.

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

In a completely randomized ANOVA,with other things equal,as the sample means get closer to each other,the probability of rejecting the null hypothesis

After analyzing a data set using the one-way ANOVA model,the same data are analyzed using the randomized block design ANOVA model.SS (Treatment)in the one-way ANOVA model is _______________ the SS (Treatment)in the randomized block design ANOVA model.

The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

The dependent variable,the variable of interest in an experiment,is also called the ___________ variable.

In a 2-way ANOVA,if factor 1 has a levels and factor 2 has b levels,then there are a total of _______ treatments.

The experimentwise α for the 95 percent individual confidence interval for μ1 − μ2 (treatment mean 1 − treatment mean 2)will always be smaller than the experimentwise α for a Tukey 95 percent simultaneous confidence interval for μ1 − μ2.

___________ refers to applying a treatment to more than one experimental unit.

When computing individual confidence intervals using the t statistic,for all possible pairwise comparisons of means,the experimentwise error rate will be

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

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.

In a completely randomized (one-way)analysis of variance problem with c groups and a total of n observations in all groups,the variance between groups is equal to

In a one way ANOVA table,the ___________ the value of MSE,the higher the probability of rejecting the hypothesis that all treatment means are equal.

In performing a one-way ANOVA,the _________ is the between-group variance.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences for Means and Proportions

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

The F test for testing the difference between means is equal to the ratio of Mean Square _ over Mean Square ______.

The experimentwise α for the 95 percent individual confidence interval for μ₁ − μ₂ (treatment mean 1 − treatment mean 2)will always be smaller than the experimentwise α for a Tukey 95 percent simultaneous confidence interval for μ₁ − μ₂.