Question 1

What value is expected,on average,for the F-ratio in ANOVA when the null hypothesis is true? Explain why this value is expected.

Accepted Answer

When the null hypothesis is true,the F-ratio is expected to be near 1.00.The structure of the F-ratio is balanced so that the numerator and denominator are measuring identical sources of variance if the treatment effect is zero (H₀ is true).

Question 2

An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true.

Accepted Answer

A) True 
 B)False  True

Question 3

For an analysis of variance comparing four treatments,MSbetween = 12.What is the value of SSbetween?​

Accepted Answer

A) ​3 
B) ​4 
C) ​36 
D) ​48 
A) ​3 
B) ​4 
C) ​36 
D) ​48 C

Question 4

The percentage of variance accounted for by the treatment effect is usually known as _____ in published reports of ANOVA results.​

Accepted Answer

A) µ2​ 
B) ​η2 
C) ​σ2 
D) ​α2 
A) µ2​ 
B) ​η2 
C) ​σ2 
D) ​α2

Question 5

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio?? $$\begin{array} { l c c c c } 
\text { Source } & \mathrm { SS } & \mathrm { df } & \mathrm { MS } & \
\hline \text { Between } & 30 & \mathrm { xx } & \mathrm { xx } & \mathrm { F } = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx } & \
\text { Total } & 62 & \mathrm { xx } & & \
\hline
\end{array}$$

Accepted Answer

A) ?0.50 
B) ?3.75 
C) ?5.00 
D) ?45.00 
A) ?0.50 
B) ?3.75 
C) ?5.00 
D) ?45.00

Question 6

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children.Three samples of children are selected with n = 5 in each sample.One group gets no sugar,one group gets a small dose,and the third group gets a large dose.The psychologist records the activity level for each child.The data from this experiment are presented below.
a. Do these data indicate any significant differences among the three groups? Test with α = .05.
b. Compute η2, the percentage of variance accounted for by the treatment.​ $$\begin{array}{l}
\text { No Sugar Small Dose Large Dose }\
\begin{array} { l l l l } 
5 & 3 & 6 & \
3 & 3 & 8 & \
1 & 7 & 5 & \mathrm { G } = 60 \
1 & 4 & 2 & \sum \mathrm { X } ^ { 2 } = 298 \
5 & 3 & 4 \
\mathrm {~T} = 15 & \mathrm {~T} = 20 & \mathrm {~T} = 25 \
\mathrm { SS } = 16 & \mathrm { SS } = 12 & \mathrm { SS } = 20
\end{array}
\end{array}$$

Accepted Answer

a. @#IMG-DLM& With α = .05 and df = 2,12

Question 7

For an independent-measures study with n = 10 participants in each treatment condition,dfwithin = 9.

Accepted Answer

A) True 
 B)False

Question 8

For an independent-measures ANOVA comparing three treatments with a sample of n = 5 in each treatment,what is the critical value for the F-ratio using α = .05?​

Accepted Answer

A) ​3.88 
B) ​3.49 
C) ​3.74 
D) ​3.34 
A) ​3.88 
B) ​3.49 
C) ​3.74 
D) ​3.34

Question 9

In an analysis of variance,MStotal = MSbetween + MSwithin.

Accepted Answer

A) True 
 B)False

Question 10

If an analysis of variance produces SSbetween treatments = 30 and MSbetween treatments = 10,then the ANOVA is comparing four treatment conditions.

Accepted Answer

A) True 
 B)False

Question 11

The individual conditions or values that make up a factor are called the levels of the factor.

Accepted Answer

A) True 
 B)False

Question 12

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment,the F-ratio will have df = 3,31.

Accepted Answer

A) True 
 B)False

Question 13

SSbetween measures the size of the mean differences from one treatment to another.

Accepted Answer

A) True 
 B)False

Question 14

For an independent-measures study comparing four treatment conditions,dfbetween = 3.

Accepted Answer

A) True 
 B)False

Question 15

What is stated by the null hypothesis (H0)for an ANOVA?​

Accepted Answer

A) ​There are no differences between any of the population means. 
B) ​At least one of the population means is different from another mean. 
C) ​All of the population means are different from each other. 
D) ​The beta estimate is significant. 
A) ​There are no differences between any of the population means. 
B) ​At least one of the population means is different from another mean. 
C) ​All of the population means are different from each other. 
D) ​The beta estimate is significant.

Question 16

In general,a post hoc test enables you to go back through the data and compare the individual treatments two at a time,a process known as making pairwise comparisons.​

Accepted Answer

A) True 
 B)False

Question 17

The larger the differences among the sample means,the larger the numerator of the F-ratio will be.

Accepted Answer

A) True 
 B)False

Question 18

In an analysis of variance,which statement is false?​

Accepted Answer

A) ​SStotal = SSbetween + SSwithin 
B) ​dftotal = dfbetween + dfwithin 
C) ​MStotal = MSbetween + MSSwithin 
D) ​MStotal = MSbetween - dfbetween 
A) ​SStotal = SSbetween + SSwithin 
B) ​dftotal = dfbetween + dfwithin 
C) ​MStotal = MSbetween + MSSwithin 
D) ​MStotal = MSbetween - dfbetween

Question 19

What is stated by the alternative hypothesis (H1)for an ANOVA?​

Accepted Answer

A) ​There are no differences between any of the population means. 
B) ​At least one of the population means is different from another mean. 
C) ​All of the population means are different from each other. 
D) ​The beta estimate is significant. 
A) ​There are no differences between any of the population means. 
B) ​At least one of the population means is different from another mean. 
C) ​All of the population means are different from each other. 
D) ​The beta estimate is significant.

Question 20

An ANOVA is used to determine whether a significant difference exists between any of the treatments,and post tests are used to determine exactly which treatment means are significantly different.​

Accepted Answer

A) True 
 B)False

What value is expected,on average,for the F-ratio in ANOVA when the null hypothesis is true? Explain why this value is expected.

An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true.

For an analysis of variance comparing four treatments,MS_between = 12.What is the value of SS_between?

The percentage of variance accounted for by the treatment effect is usually known as _____ in published reports of ANOVA results.

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio?? Source Between 30 = Within Total 62

For an independent-measures study with n = 10 participants in each treatment condition,df_within = 9.

For an independent-measures ANOVA comparing three treatments with a sample of n = 5 in each treatment,what is the critical value for the F-ratio using α = .05?

In an analysis of variance,MS_total = MS_between + MS_within.

If an analysis of variance produces SS_{between treatments} = 30 and MS_{between treatments} = 10,then the ANOVA is comparing four treatment conditions.

The individual conditions or values that make up a factor are called the levels of the factor.

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment,the F-ratio will have df = 3,31.

SS_between measures the size of the mean differences from one treatment to another.

For an independent-measures study comparing four treatment conditions,df_between = 3.

What is stated by the null hypothesis (H₀)for an ANOVA?

In general,a post hoc test enables you to go back through the data and compare the individual treatments two at a time,a process known as making pairwise comparisons.

The larger the differences among the sample means,the larger the numerator of the F-ratio will be.

In an analysis of variance,which statement is false?

What is stated by the alternative hypothesis (H₁)for an ANOVA?

An ANOVA is used to determine whether a significant difference exists between any of the treatments,and post tests are used to determine exactly which treatment means are significantly different.

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

Exam 12: Introduction to Analysis of Variance

What value is expected,on average,for the F-ratio in ANOVA when the null hypothesis is true? Explain why this value is expected.

An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true.

For an analysis of variance comparing four treatments,MSbetween = 12.What is the value of SSbetween?​

The percentage of variance accounted for by the treatment effect is usually known as _____ in published reports of ANOVA results.​

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio?? Source Between 30 = Within Total 62

For an independent-measures study with n = 10 participants in each treatment condition,dfwithin = 9.

For an independent-measures ANOVA comparing three treatments with a sample of n = 5 in each treatment,what is the critical value for the F-ratio using α = .05?​

In an analysis of variance,MStotal = MSbetween + MSwithin.

If an analysis of variance produces SSbetween treatments = 30 and MSbetween treatments = 10,then the ANOVA is comparing four treatment conditions.

The individual conditions or values that make up a factor are called the levels of the factor.

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment,the F-ratio will have df = 3,31.

SSbetween measures the size of the mean differences from one treatment to another.

For an independent-measures study comparing four treatment conditions,dfbetween = 3.

What is stated by the null hypothesis (H0)for an ANOVA?​

In general,a post hoc test enables you to go back through the data and compare the individual treatments two at a time,a process known as making pairwise comparisons.​

The larger the differences among the sample means,the larger the numerator of the F-ratio will be.

In an analysis of variance,which statement is false?​

What is stated by the alternative hypothesis (H1)for an ANOVA?​

An ANOVA is used to determine whether a significant difference exists between any of the treatments,and post tests are used to determine exactly which treatment means are significantly different.​

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

For an analysis of variance comparing four treatments,MS_between = 12.What is the value of SS_between?

The percentage of variance accounted for by the treatment effect is usually known as _____ in published reports of ANOVA results.

For an independent-measures study with n = 10 participants in each treatment condition,df_within = 9.

For an independent-measures ANOVA comparing three treatments with a sample of n = 5 in each treatment,what is the critical value for the F-ratio using α = .05?

In an analysis of variance,MS_total = MS_between + MS_within.

If an analysis of variance produces SS_{between treatments} = 30 and MS_{between treatments} = 10,then the ANOVA is comparing four treatment conditions.

SS_between measures the size of the mean differences from one treatment to another.

For an independent-measures study comparing four treatment conditions,df_between = 3.

What is stated by the null hypothesis (H₀)for an ANOVA?

In general,a post hoc test enables you to go back through the data and compare the individual treatments two at a time,a process known as making pairwise comparisons.

In an analysis of variance,which statement is false?

What is stated by the alternative hypothesis (H₁)for an ANOVA?

An ANOVA is used to determine whether a significant difference exists between any of the treatments,and post tests are used to determine exactly which treatment means are significantly different.