Question 1

In one-way ANOVA, the test statistic is defined as the ratio of the mean square for error (MSE) and the mean square for treatments (MST), namely, F = MSE / MST.

Accepted Answer

A) True 
 B)False

Question 2

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

Accepted Answer

A) True 
 B)False

Question 3

In one-way analysis of variance, within-treatments variation is measured by:

Accepted Answer

A) sum of squares for error. 
B) sum of squares for treatments. 
C) total sum of squares. 
D) standard deviation. 
A) sum of squares for error. 
B) sum of squares for treatments. 
C) total sum of squares. 
D) standard deviation.

Question 4

Multiple comparison methods are used after it is found that H0 from ANOVA has been ____________________.

Accepted Answer

Question 5

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples, the degrees of freedom for treatments is given by:

Accepted Answer

A) n - k 
B) k - 1 
C) n - 1 
D) n - k + 1 
A) n - k 
B) k - 1 
C) n - 1 
D) n - k + 1

Question 6

NARRBEGIN: Gold Funds
Gold Funds
An investor studied the percentage rates of return of three different gold funds. Random samples of percentage rates of return for four periods were taken from each fund. The results appear in the table below:
 $$\begin{array}{l}
\text { Gold Funds Percentage Rates }\
\begin{array} { | c c c | } 
\hline \text { Fund 1 } & \text { Fund 2 } & \text { Fund 3 } \
\hline 12 & 4 & 9 \
15 & 8 & 3 \
13 & 6 & 5 \
14 & 5 & 7 \
17 & 4 & 4 \
\hline
\end{array}
\end{array}$$ NARREND
-{Gold Funds Narrative} Set up the ANOVA Table. Use $\alpha$= 0.05 to determine the critical value.

Accepted Answer

\[\begin{array} { | l | c c c c | } 
\hl

Question 7

NARRBEGIN: Acid Reflux
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. $$\begin{array} { | l | c c c c | } 
\hline \text { Source of Variation } & \mathbf { S S } & \boldsymbol { df } & \boldsymbol { M S } & \boldsymbol { F } \
\hline \text { Treatments } & * & 4 & * & * \
\text { Blocks } & 3,120 & 6 & * & * \
\text { Error } &* &*&115 & \
\hline \text { Total } &12,600&34 & & \
\hline
\end{array}$$ NARREND
-{Acid Reflux Narrative} Can we infer at the 5% significance level that the block means differ?

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂ = @#LAT-DLM&₃ = @#LAT-DLM&₄ = @#LAT-DLM&₅ = @#LAT-DLM&₆ = @#LAT-DLM&₇ vs. H₁: At least tw

Question 8

NARRBEGIN: Keyboard Configuration an
Keyboard Configuration and Size
The data shown below were taken from a 2 * 3 factorial experiment to examine the effects of factor A (keyboard configuration, 3 levels) and factor B (keyboard size, 2 levels) on typing speed. Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes). $$\begin{array}{l}
                   \text { Factor } B\
\begin{array} { | c | c c | } 
\hline \text { Factor } A & 1 & 2 \
\hline 1 & 26 & 24 \
& 19 & 21 \
& 20 & 20 \
 & 21 & 23 \
2& 30 & 33 \
& 24 & 27 \
& 25 & 31 \
& 29 & 29 \
3& 26 & 31 \
& 22 & 23 \
& 27 & 24 \
& 17 & 26 \
\hline
\end{array}
\end{array}$$ NARREND
-{Keyboard Configuration and Size Narrative}
a.Create the ANOVA table.
b.Is there sufficient evidence at the 5% significance level to infer that factors A and B interact?

Accepted Answer

a.Source of Variation
SS
df
MS
F
P-value

Question 9

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 10

The sum of squares for treatments, SST, achieves its smallest value (zero) when all the sample means are equal.

Accepted Answer

A) True 
 B)False

Question 11

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 12

The Bonferroni adjustment decreases the experimentwise Type I error rate, but it increases the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 13

The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

Accepted Answer

Question 14

Tukey's multiple comparison method is based on the Studentized range statistic.

Accepted Answer

A) True 
 B)False

Question 15

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29. The degrees of freedom for the numerator and denominator are 5 and 10, respectively. Using an F table, the most accurate statements to be made about the p-value is that it is:

Accepted Answer

A) greater than 0.05 
B) between 0.001 and 0.010. 
C) between 0.010 and 0.025. 
D) between 0.025 and 0.050. 
A) greater than 0.05 
B) between 0.001 and 0.010. 
C) between 0.010 and 0.025. 
D) between 0.025 and 0.050.

Question 16

NARRBEGIN: MigraineTreatments
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. $$\begin{array} { l  } 
\begin{array} { | c | c c | } 
&\text { Factor B } \
\hline \text { Factor A } & 1 & 2 \
\hline 1 & 7 & 13 \
& 10 & 11 \
& 8 & 12 \
2 & 10 & 10 \
& 11 & 15 \
& 0 & 11 \
\hline\end{array}
\end{array}$$ NARREND
-{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

Question 17

For which of the following is not a required condition for ANOVA?

Accepted Answer

A) The populations are normally distributed. 
B) The population variances are equal. 
C) The samples are independent. 
D) All of these choices are required conditions for ANOVA. 
A) The populations are normally distributed. 
B) The population variances are equal. 
C) The samples are independent. 
D) All of these choices are required conditions for ANOVA.

Question 18

In employing the randomized block design, the primary interest lies in reducing sum of squares for ____________________.

Accepted Answer

The answer of In employing the randomized block design, the...

Question 19

In a two-factor ANOVA, where a is the number of factor A levels and b is the number of factor B levels, the number of degrees of freedom for the interaction term is

Accepted Answer

A) (a - 1)(b - 1) 
B) ab - 1 
C) (a - 1) + (b - 1) 
D) Unknown; need to know the number of replicates. 
A) (a - 1)(b - 1) 
B) ab - 1 
C) (a - 1) + (b - 1) 
D) Unknown; need to know the number of replicates.

Question 20

The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

Accepted Answer

The answer of The ____________________ adjustment used with the LSD...

In one-way ANOVA, the test statistic is defined as the ratio of the mean square for error (MSE) and the mean square for treatments (MST), namely, F = MSE / MST.

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

In one-way analysis of variance, within-treatments variation is measured by:

Multiple comparison methods are used after it is found that H₀ from ANOVA has been ____________________.

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples, the degrees of freedom for treatments is given by:

When is the Tukey multiple comparison method used?

The sum of squares for treatments, SST, achieves its smallest value (zero) when all the sample means are equal.

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:

The Bonferroni adjustment decreases the experimentwise Type I error rate, but it increases the probability of a Type II error.

The F-test statistic in ANOVA is equal to MS divided by MS and H₀ is rejected for values of F.

Tukey's multiple comparison method is based on the Studentized range statistic.

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29. The degrees of freedom for the numerator and denominator are 5 and 10, respectively. Using an F table, the most accurate statements to be made about the p-value is that it is:

For which of the following is not a required condition for ANOVA?

In employing the randomized block design, the primary interest lies in reducing sum of squares for ____________________.

In a two-factor ANOVA, where a is the number of factor A levels and b is the number of factor B levels, the number of degrees of freedom for the interaction term is

The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

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 Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 14: Analysis of Variance

In one-way ANOVA, the test statistic is defined as the ratio of the mean square for error (MSE) and the mean square for treatments (MST), namely, F = MSE / MST.

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

In one-way analysis of variance, within-treatments variation is measured by:

Multiple comparison methods are used after it is found that H0 from ANOVA has been ____________________.

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples, the degrees of freedom for treatments is given by:

When is the Tukey multiple comparison method used?

The sum of squares for treatments, SST, achieves its smallest value (zero) when all the sample means are equal.

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:

The Bonferroni adjustment decreases the experimentwise Type I error rate, but it increases the probability of a Type II error.

The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

Tukey's multiple comparison method is based on the Studentized range statistic.

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29. The degrees of freedom for the numerator and denominator are 5 and 10, respectively. Using an F table, the most accurate statements to be made about the p-value is that it is:

For which of the following is not a required condition for ANOVA?

In employing the randomized block design, the primary interest lies in reducing sum of squares for ____________________.

In a two-factor ANOVA, where a is the number of factor A levels and b is the number of factor B levels, the number of degrees of freedom for the interaction term is

The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

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 Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Multiple comparison methods are used after it is found that H₀ from ANOVA has been ____________________.

The F-test statistic in ANOVA is equal to MS divided by MS and H₀ is rejected for values of F.