Question 1

Which of the following is not a required condition for one-way ANOVA?

Accepted Answer

A) The sample sizes must be equal. 
B) The populations must all be normally distributed. 
C) The population variances must be equal. 
D) The samples for each treatment must be selected randomly and independently. 
A) The sample sizes must be equal. 
B) The populations must all be normally distributed. 
C) The population variances must be equal. 
D) The samples for each treatment must be selected randomly and independently. A

Question 2

In one-way ANOVA, the total variation SS(Total) is partitioned into two sources of variation: the sum of squares for treatments (SST) and the sum of squares for error (SSE).

Accepted Answer

A) True 
 B)False  True

Question 3

NARRBEGIN: TV News Viewing Habits
TV News Viewing Habits
A statistician employed by a television rating service wanted to determine if there were differences in television viewing habits among three different cities in New York. She took a random sample of five adults in each of the cities and asked each to report the number of hours spent watching television in the previous week. The results are shown below. (Assume normal distributions with equal variances.)
 $$\begin{array}{l}
\text { Hour Spent Watehing News on Television }\
\begin{array} { c c c } 
\hline \text { Albany } & \text { Syracuse } & \text { Utica } \
\hline 25 & 28 & 23 \
31 & 33 & 18 \
18 & 35 & 21 \
23 & 29 & 17 \
27 & 36 & 15 \
\hline
\end{array}
\end{array}$$ NARREND
-{TV News Viewing Habits Narrative} Set up the ANOVA Table. Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

$$\begin{array} { | l | c c c c c c | } 
\hline \text { Source of Variation } &  \mathrm {SS} & \boldsymbol { df } & \boldsymbol { M S } & \boldsymbol { F } & \text { F-value } & \text { F ceritical } \
\hline \text { Treatments } & 450.533 & 2 & 225.267 & 14.659 & 0.0006 & 3.885 \
\text { Error } & 184.400 & 12 & 15.367 & & & \
\hline \text { Total } & 634.933 & 14 & & & & \
\hline
\end{array}$$

Question 4

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals ____________________ divided by ____________________.

Accepted Answer

MS(AB); MS

Question 5

The required conditions for a two-factor ANOVA are that the distribution of the response is ____________________ distributed; the variance for each treatment is ____________________; and the samples are ____________________.

Accepted Answer

normally; equal; ind

Question 6

The F-statistic in a one-way ANOVA represents the variation within the treatments divided by the variation between the treatments.

Accepted Answer

A) True 
 B)False

Question 7

NARRBEGIN: Arthritis Pain Formulas
Arthritis Pain Formulas
A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain. Their laboratories have produced three different medications and they want to determine if the different medications produce different responses. Fifteen people who complained of arthritis pains were recruited for an experiment; five were randomly assigned to each medication. Each person was asked to take the medicine and report the length of time until some relief was felt (minutes). The results are shown below. (Assume normal distributions with equal variances.)
 $$\begin{array}{l}
\text { Time in Minutes Whtil pelef is Felt (min) }\
\begin{array} { | c c c | } 
\hline \text { Medication 1 } & \text { Medication 2 } & \text { Medication } 3 \
\hline 4 & 2 & 6 \
8 & 5 & 7 \
6 & 3 & 7 \
9 & 7 & 8 \
8 & 1 & 6 \
\hline
\end{array}
\end{array}$$ NARREND
-{Arthritis Pain Formulas Narrative} Set up the ANOVA Table. Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

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

Question 8

When the variation associated with blocks is removed from the data, SSE increases.

Accepted Answer

A) True 
 B)False

Question 9

If we square the t-statistic for two means, the result is the ____________________-statistic.

Accepted Answer

A) True 
 B)False

Question 10

The F-test in ANOVA is an expansion of the t-test for two independent population means.

Accepted Answer

A) True 
 B)False

Question 11

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 12

Fisher's least significant difference method (LSD) substitutes the pooled variance estimator from the equal variances t-test with the MSE from ANOVA.

Accepted Answer

A) True 
 B)False

Question 13

NARRBEGIN: Health Inspectors' Ages
Health Inspectors' Ages
In order to examine the differences in ages of health inspectors among five counties, a Health Department statistician took random samples of six inspectors' ages in each county. The data are listed below. An F-test using ANOVA showed that average age differs for at least two counties. $$\begin{array}{l}
\text { Ages of hipectors among Five sehoal Districts }\
\begin{array} { | c c c c c | } 
\hline 1 & 2 & 3 & 4 & 5 \
\hline 41 & 39 & 36 & 45 & 53 \
53 & 48 & 28 & 37 & 55 \
28 & 41 & 29 & 46 & 49 \
45 & 51 & 33 & 48 & 56 \
40 & 49 & 27 & 51 & 48 \
59 & 50 & 26 & 49 & 61 \
\hline
\end{array}
\end{array}$$ NARREND
-{Health Inspectors' Ages Narrative} Use Tukey's multiple comparison method to determine which means differ.

Accepted Answer

@#LAT-DLM& = 10.717
 \[\begin{array} {|c c | c c|

Question 14

In which case can an F-test be used to compare two population means?

Accepted Answer

A) For one tail tests only. 
B) For two tail tests only. 
C) For either one or two tail tests. 
D) None of these choices. 
A) For one tail tests only. 
B) For two tail tests only. 
C) For either one or two tail tests. 
D) None of these choices.

Question 15

In one-way analysis of variance, if all the sample means are equal, then the:

Accepted Answer

A) total sum of squares is zero. 
B) sum of squares for treatments is zero. 
C) sum of squares for error is zero. 
D) sum of squares for error equals sum of squares for treatments. 
A) total sum of squares is zero. 
B) sum of squares for treatments is zero. 
C) sum of squares for error is zero. 
D) sum of squares for error equals sum of squares for treatments.

Question 16

In a(n) ____________________ factorial experiment, data for all possible combinations of the levels of the factors are gathered.

Accepted Answer

The answer of In a(n) ____________________ factorial experiment, data for...

Question 17

The sum of squares for treatments (SST) is the variation attributed to the differences between the treatment means, while the sum of squares for error (SSE) measures the within-treatment variation.

Accepted Answer

A) True 
 B)False

Question 18

Multiple comparison methods are used to determine whether or not any differences occur amongst a group of population means.

Accepted Answer

A) True 
 B)False

Question 19

The number of degrees of freedom for the denominator in one-way ANOVA test involving 4 population means with 15 observations sampled from each population is:

Accepted Answer

A) 60 
B) 19 
C) 56 
D) 45 
A) 60 
B) 19 
C) 56 
D) 45

Question 20

In a two-factor ANOVA, there are 4 levels for factor A and 5 levels for factor B, and two observations within each cell. The number of treatments in this experiment is 40.

Accepted Answer

A) True 
 B)False

Which of the following is not a required condition for one-way ANOVA?

In one-way ANOVA, the total variation SS(Total) is partitioned into two sources of variation: the sum of squares for treatments (SST) and the sum of squares for error (SSE).

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals divided by .

The required conditions for a two-factor ANOVA are that the distribution of the response is distributed; the variance for each treatment is ; and the samples are .

The F-statistic in a one-way ANOVA represents the variation within the treatments divided by the variation between the treatments.

When the variation associated with blocks is removed from the data, SSE increases.

If we square the t-statistic for two means, the result is the ____________________-statistic.

The F-test in ANOVA is an expansion of the t-test for two independent 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:

Fisher's least significant difference method (LSD) substitutes the pooled variance estimator from the equal variances t-test with the MSE from ANOVA.

In which case can an F-test be used to compare two population means?

In one-way analysis of variance, if all the sample means are equal, then the:

In a(n) ____________________ factorial experiment, data for all possible combinations of the levels of the factors are gathered.

The sum of squares for treatments (SST) is the variation attributed to the differences between the treatment means, while the sum of squares for error (SSE) measures the within-treatment variation.

Multiple comparison methods are used to determine whether or not any differences occur amongst a group of population means.

The number of degrees of freedom for the denominator in one-way ANOVA test involving 4 population means with 15 observations sampled from each population is:

In a two-factor ANOVA, there are 4 levels for factor A and 5 levels for factor B, and two observations within each cell. The number of treatments in this experiment is 40.

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

Which of the following is not a required condition for one-way ANOVA?

In one-way ANOVA, the total variation SS(Total) is partitioned into two sources of variation: the sum of squares for treatments (SST) and the sum of squares for error (SSE).

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals ____________________ divided by ____________________.

The required conditions for a two-factor ANOVA are that the distribution of the response is ____________________ distributed; the variance for each treatment is ____________________; and the samples are ____________________.

The F-statistic in a one-way ANOVA represents the variation within the treatments divided by the variation between the treatments.

When the variation associated with blocks is removed from the data, SSE increases.

If we square the t-statistic for two means, the result is the ____________________-statistic.

The F-test in ANOVA is an expansion of the t-test for two independent 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:

Fisher's least significant difference method (LSD) substitutes the pooled variance estimator from the equal variances t-test with the MSE from ANOVA.

In which case can an F-test be used to compare two population means?

In one-way analysis of variance, if all the sample means are equal, then the:

In a(n) ____________________ factorial experiment, data for all possible combinations of the levels of the factors are gathered.

The sum of squares for treatments (SST) is the variation attributed to the differences between the treatment means, while the sum of squares for error (SSE) measures the within-treatment variation.

Multiple comparison methods are used to determine whether or not any differences occur amongst a group of population means.

The number of degrees of freedom for the denominator in one-way ANOVA test involving 4 population means with 15 observations sampled from each population is:

In a two-factor ANOVA, there are 4 levels for factor A and 5 levels for factor B, and two observations within each cell. The number of treatments in this experiment is 40.

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

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals divided by .

The required conditions for a two-factor ANOVA are that the distribution of the response is distributed; the variance for each treatment is ; and the samples are .