Question 1

An analysis of variance that controls extraneous factors by using the randomized block design is called:

Accepted Answer

A)  one-way ANOVA 
B)  two-way ANOVA 
C)  three-way ANOVA 
D)  four-way ANOVA 
E)  five-way ANOVA 
A)  one-way ANOVA 
B)  two-way ANOVA 
C)  three-way ANOVA 
D)  four-way ANOVA 
E)  five-way ANOVA

Question 2

Consider the following ANOVA table:   The number of treatments is:

Accepted Answer

A)  13 
B)  5 
C)  3 
D)  12 
E)  6 
A)  13 
B)  5 
C)  3 
D)  12 
E)  6

Question 3

One-factor or one-way ANOVA is one of several versions of the analysis of variance, which controls extraneous factors by using the randomized group design.

Accepted Answer

A) True 
 B)False

Question 4

In a one-way ANOVA, if the sum of squares for error (SSE) is large relative to the sum of squares for treatments (SST), this is an indication that the population means are likely to be different.

Accepted Answer

A) True 
 B)False

Question 5

One-way ANOVA is used when:

Accepted Answer

A)  analyzing the difference between more than two population means 
B)  analyzing the difference between two population variances 
C)  analyzing the difference between two sample means 
D)  analyzing the difference between two population proportions 
E)  none of these 
A)  analyzing the difference between more than two population means 
B)  analyzing the difference between two population variances 
C)  analyzing the difference between two sample means 
D)  analyzing the difference between two population proportions 
E)  none of these

Question 6

In a two-way ANOVA, it is easier to interpret main effects when the interaction component is not significant.

Accepted Answer

A) True 
 B)False

Question 7

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 8

In a one-way ANOVA, if the null hypothesis is   then the alternative hypothesis is:

Accepted Answer

A)  at least one of the means are different from the others 
B)  at least two of the means are different from the others 
C)  at least three of the means are different from the others 
D)  all populations means differ 
E)  none of the populations means differ 
A)  at least one of the means are different from the others 
B)  at least two of the means are different from the others 
C)  at least three of the means are different from the others 
D)  all populations means differ 
E)  none of the populations means differ

Question 9

A consumer would like to know if there is a difference in the performance of three different laundry detergents. Eighteen pieces of white cloth were soiled with grape juice then washed in one of the three detergents A, B, or C. The resulting whiteness readings are listed below, where the larger number indicates whiter fabric.   How many degrees of freedom are associated with the F test statistic?
______________
Calculate the value of the test statistic F.
F = ______________
Set up the rejection region for   = 0.05.
The rejection region is ______________.
What is the appropriate conclusion?
______________
The sample evidence ______________ that the true mean whiteness readings are not the same for the three detergents.
Develop a 95% confidence interval for   .
CI = ______________ Enter (n1, n2)
Develop a 95% confidence interval for   .
CI = ______________ Enter (n1, n2)

Accepted Answer

15; 15.567; 3.68; Re

Question 10

Which of the following statements about blocks variation is false?

Accepted Answer

A)  It equals the sum of the squared deviations between each block sample mean and the grand mean. 
B)  It measures the variation among block sample means, which is attributable not to chance to inherent differences among blocks of experimental units. 
C)  In two-way ANOVA, it equals the blocks mean square. 
D)  In three-way ANOVA, it equals the blocks sample mean. 
E)  None of these. 
A)  It equals the sum of the squared deviations between each block sample mean and the grand mean. 
B)  It measures the variation among block sample means, which is attributable not to chance to inherent differences among blocks of experimental units. 
C)  In two-way ANOVA, it equals the blocks mean square. 
D)  In three-way ANOVA, it equals the blocks sample mean. 
E)  None of these.

Question 11

The test statistic of the single-factor ANOVA equals:

Accepted Answer

A)  sum of squares for treatments / sum of squares for error 
B)  sum of squares for error / sum of squares for treatments 
C)  sum of squares for error / mean square for error 
D)  mean square for treatments / mean square for error 
E)  mean square for error / mean square for treatments 
A)  sum of squares for treatments / sum of squares for error 
B)  sum of squares for error / sum of squares for treatments 
C)  sum of squares for error / mean square for error 
D)  mean square for treatments / mean square for error 
E)  mean square for error / mean square for treatments

Question 12

All members of the F-distribution family are:

Accepted Answer

A)  positively skewed between values ofand 
B)  positively skewed between values of 0 and 
C)  negatively skewed between values ofand 0 
D)  negatively skewed between values of 0 and 
E)  correctly described by "positively skewed between values of 0 and" and "negatively skewed between values ofand 0", which is why the normal distribution is a special case of the F-distribution family 
A)  positively skewed between values ofand 
B)  positively skewed between values of 0 and 
C)  negatively skewed between values ofand 0 
D)  negatively skewed between values of 0 and 
E)  correctly described by "positively skewed between values of 0 and" and "negatively skewed between values ofand 0", which is why the normal distribution is a special case of the F-distribution family

Question 13

In one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F > 3.06 for the 5% level of significance, F > 3.8 for the 2.5% level, and F > 4.89 for the 1% level. For this test, the approximate p-value is:

Accepted Answer

A)  greater than 0.05 
B)  between 0.025 and 0.05 
C)  between 0.01 and 0.025 
D)  approximately 0.05 
E)  approximately 0.01 
A)  greater than 0.05 
B)  between 0.025 and 0.05 
C)  between 0.01 and 0.025 
D)  approximately 0.05 
E)  approximately 0.01

Question 14

Water samples were taken at four different locations in a river to determine whether the quantity of dissolved oxygen, a measure of water pollution, varied from one location to another. Locations 1 and 2 were selected above an industrial plant, one near the shore and the other in midstream; location 3 was adjacent to the industrial water discharge for the plant; and location 4 was slightly downriver in midstream. Five water specimens were randomly selected at each location, but one specimen, corresponding to location 4, was lost in the laboratory. The data and an ANOVA computer printout are provided here (the greater the pollution, the lower the dissolved oxygen readings).   Do the data provide sufficient evidence to indicate a difference in the mean dissolved oxygen contents for the four locations?
Conclusion: ______________
There ______________ a significant difference in the mean dissolved oxygen content for the four locations.
Compare the mean dissolved oxygen content in midstream above the plant with the mean content adjacent to the plant (location 2 versus location 3). What is the 95% confidence interval (CI) for   ?
CI = ______________ Enter (n1, n2)

Accepted Answer

Reject H₀;

Question 15

Which of the following correctly describes the treatment sum of squares in one-way ANOVA?

Accepted Answer

A)  It equals the sum of the squared deviations between each treatment sample mean and the grand mean, multiplied by the number of observations made for each treatment. 
B)  It equals the sum of the square deviations between each block sample mean and the grand mean, multiplied by the number of observations made for each block, multiplied by the number of observations per cell. 
C)  It equals the number of rows (or columns) multiplied by the sum of the squared deviations of the column-block sample means from the grand mean. 
D)  It equals the number of columns (or rows) multiplied by the sum of the squared deviations of the row-block sample means from the grand mean. 
E)  None of these. 
A)  It equals the sum of the squared deviations between each treatment sample mean and the grand mean, multiplied by the number of observations made for each treatment. 
B)  It equals the sum of the square deviations between each block sample mean and the grand mean, multiplied by the number of observations made for each block, multiplied by the number of observations per cell. 
C)  It equals the number of rows (or columns) multiplied by the sum of the squared deviations of the column-block sample means from the grand mean. 
D)  It equals the number of columns (or rows) multiplied by the sum of the squared deviations of the row-block sample means from the grand mean. 
E)  None of these.

Question 16

The F-test of the randomized block design of the analysis of variance requires that the random variable of interest must be normally distributed and the population variances must be equal. When the random variable is not normally distributed, we can use:

Accepted Answer

A)  one-way ANOVA 
B)  two-way ANOVA 
C)  chi-square test 
D)  binomial square test 
E)  Friedman test 
A)  one-way ANOVA 
B)  two-way ANOVA 
C)  chi-square test 
D)  binomial square test 
E)  Friedman test

An analysis of variance that controls extraneous factors by using the randomized block design is called:

Consider the following ANOVA table: The number of treatments is:

One-factor or one-way ANOVA is one of several versions of the analysis of variance, which controls extraneous factors by using the randomized group design.

In a one-way ANOVA, if the sum of squares for error (SSE) is large relative to the sum of squares for treatments (SST), this is an indication that the population means are likely to be different.

One-way ANOVA is used when:

In a two-way ANOVA, it is easier to interpret main effects when the interaction component is not significant.

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.

In a one-way ANOVA, if the null hypothesis is then the alternative hypothesis is:

Which of the following statements about blocks variation is false?

The test statistic of the single-factor ANOVA equals:

All members of the F-distribution family are:

In one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F > 3.06 for the 5% level of significance, F > 3.8 for the 2.5% level, and F > 4.89 for the 1% level. For this test, the approximate p-value is:

Which of the following correctly describes the treatment sum of squares in one-way ANOVA?

The F-test of the randomized block design of the analysis of variance requires that the random variable of interest must be normally distributed and the population variances must be equal. When the random variable is not normally distributed, we can use:

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Nonparametric Statistics

Filters

Exam 11: The Analysis of Variance

An analysis of variance that controls extraneous factors by using the randomized block design is called:

Consider the following ANOVA table: The number of treatments is:

One-factor or one-way ANOVA is one of several versions of the analysis of variance, which controls extraneous factors by using the randomized group design.

In a one-way ANOVA, if the sum of squares for error (SSE) is large relative to the sum of squares for treatments (SST), this is an indication that the population means are likely to be different.

One-way ANOVA is used when:

In a two-way ANOVA, it is easier to interpret main effects when the interaction component is not significant.

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.

In a one-way ANOVA, if the null hypothesis is then the alternative hypothesis is:

Which of the following statements about blocks variation is false?

The test statistic of the single-factor ANOVA equals:

All members of the F-distribution family are:

In one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F > 3.06 for the 5% level of significance, F > 3.8 for the 2.5% level, and F > 4.89 for the 1% level. For this test, the approximate p-value is:

Which of the following correctly describes the treatment sum of squares in one-way ANOVA?

The F-test of the randomized block design of the analysis of variance requires that the random variable of interest must be normally distributed and the population variances must be equal. When the random variable is not normally distributed, we can use:

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Nonparametric Statistics

Filters