Question 1

Define sampling distribution of F .

Accepted Answer

The sampling distribution of F refers to

Question 2

A researcher is interested in knowing if different types of treatments have an effect on the number of relapses for clients with the diagnosis of alcoholism. He randomly selects a group of 24 clients from a waiting list at a local mental health center who consent to the study. Then he randomly assigns 6 subjects to each treatment group. Group 1 is a waiting list control group. They are given no treatment. Group 2 receives a medication that causes illness when alcohol is consumed. Group 3 gets cognitive behavior therapy, and Group 4 gets cognitive behavior therapy plus the drug. The researcher then records the number of relapses in the next 12 months. The following data are obtained.
a. State the alternative hypothesis.
b. State the null hypothesis.
c. What is the value of SS within ?
d. What is the value of SS between ?
e. What is the value of SS total ?
f. What is the value of F obt ?
g. What do you conclude, using a = 0.05? 
h. What is the size of the effect, using   ? 
i. What is the size of the effect, using 2?

Accepted Answer

Question 3

An experimental psychologist used 5 different methods to teach rats to run a maze. The ANOVA results are shown below along with the sample means.   *With a = 0.01 F crit = 4.98, therefore reject H0 . = 13.75, = 7.75 , = 13.25 , = 12.50 , = 5.75 (seconds)
a. Do a planned comparison test on the difference between group 2 and group 4. Are the results significant using a = 0.01 1 tail ? Assume equal n 's in each group.
b. Is group 2 different from group 4 using a = 0.01 with the HSD test?
c. Is group 2 different from group 4 using a = 0.01 with the Scheffé test?
d. Explain any differences in results between parts a, b and c.

Accepted Answer

Question 4

MSbetween is a measure of _________.

Accepted Answer

A)  s 2 alone 
B)  s 2 + the effects of the independent variable 
C)  the variability between the means 
D)  b and c 
A)  s 2 alone 
B)  s 2 + the effects of the independent variable 
C)  the variability between the means 
D)  b and c

Question 5

Using the Scheffé test, the appropriate critical value = _________.

Accepted Answer

A)  F crit taken from the entire ANOVA 
B)  F crit taken from the 2 groups being compared 
C)  t crit using the df taken from the entire ANOVA 
D)  t crit using the df taken from the 2 groups being compared 
A)  F crit taken from the entire ANOVA 
B)  F crit taken from the 2 groups being compared 
C)  t crit using the df taken from the entire ANOVA 
D)  t crit using the df taken from the 2 groups being compared

Question 6

A significant F obt value indicates that all the group means are significantly different from each other.

Accepted Answer

A) True 
 B)False

Question 7

F obt = MSbetween / MSwithin

Accepted Answer

A) True 
 B)False

Question 8

When comparisons are planned in advance of conducting the experiment, you need a significant value for F obt before you can make the comparisons.

Accepted Answer

A) True 
 B)False

Question 9

Define between-groups sum of squares ( ΣS  between  ).

Accepted Answer

The between-groups sum of squares (often

Question 10

The HSD test is more powerful than the Scheffé test.

Accepted Answer

A) True 
 B)False

Question 11

An investigator conducts an experiment involving the effects of three levels of a drug on memory. Subjects are randomly assigned to one of three conditions. A different drug level is administered in each condition. Memory is measured 10 minutes after each subject receives the drug. The following scores are recorded. The higher the score, the better the memory.   Assume you are doing post hoc testing between drug levels 2 and 3 using the Scheff test. Given the following values obtained from the ANOVA:   ,   ,   , n 1 = n 2 = n 3 = 4, k = 3, df between = 2, df within = 9, MSwithin = 6.639, the value of SS  between ( groups i and j) = _________.

Accepted Answer

A)  78.125 
B)  66.125 
C)  0.5000 
D)  69.125 
A)  78.125 
B)  66.125 
C)  0.5000 
D)  69.125

Question 12

Given the following data:   a. What is the value of F obt
b. What is the value of ?
c. What is the value of SS total ?

Accepted Answer

The answer of Given the following data:   a....

Question 13

Is the Type I error rate higher when doing a priori comparisons or when doing the Tukey HSD test? Explain.

Accepted Answer

The Type I error rate, also known as the

Question 14

The ANOVA is robust regardless of whether or not sample sizes are equal.

Accepted Answer

A) True 
 B)False

Question 15

With a priori comparisons, there is no correction for the inflated probability of making a Type I error.

Accepted Answer

A) True 
 B)False

Question 16

Define simple randomized group design.

Accepted Answer

A simple randomized group design, also k

Question 17

Describe the sampling distribution of F .

Accepted Answer

The sampling distribution of F, also kno

Question 18

In general, which of the following tests is the most powerful test to detect a difference between group means?

Accepted Answer

A)  a t test for a planned comparison 
B)  the HSD test 
C)  the Scheffé test 
D)  all are equally powerful 
A)  a t test for a planned comparison 
B)  the HSD test 
C)  the Scheffé test 
D)  all are equally powerful

Question 19

What is the value of F obt?

Accepted Answer

A)  5.67 
B)  6.53 
C)  1.95 
D)  3.26 
A)  5.67 
B)  6.53 
C)  1.95 
D)  3.26

Question 20

The F ratio increases as _________.

Accepted Answer

A)  the variability between means increases relative to the variability within groups 
B)  the variability between means decreases relative to the variability within groups 
C)  the total variability increases 
D)  the total variability decreases 
E)  the variability within groups remains the same 
A)  the variability between means increases relative to the variability within groups 
B)  the variability between means decreases relative to the variability within groups 
C)  the total variability increases 
D)  the total variability decreases 
E)  the variability within groups remains the same

Define sampling distribution of F .

MS_between is a measure of _________.

Using the Scheffé test, the appropriate critical value= _________.

A significant F _obt value indicates that all the group means are significantly different from each other.

F _obt = MS_between / MS_within

When comparisons are planned in advance of conducting the experiment, you need a significant value for F obt before you can make the comparisons.

Define between-groups sum of squares ( ΣS _between ).

The HSD test is more powerful than the Scheffé test.

Given the following data: a. What is the value of F obt b. What is the value of ? c. What is the value of SS total ?

Is the Type I error rate higher when doing a priori comparisons or when doing the Tukey HSD test? Explain.

The ANOVA is robust regardless of whether or not sample sizes are equal.

With a priori comparisons, there is no correction for the inflated probability of making a Type I error.

Define simple randomized group design.

Describe the sampling distribution of F .

In general, which of the following tests is the most powerful test to detect a difference between group means?

What is the value of F _obt?

The F ratio increases as _________.

Statistics and Scientific Method

Basic Mathematical and Measurement Concepts

Frequency Distributions

Measures of Central Tendency and Variability

The Normal Curve and Standard Scores

Correlation

Linear Regression

Random Sampling and Probability

Binomial Distribution

Introduction to Hypothesis Testing: Using the Sign Test

Power

Sampling Distributions, Sampling Distribution of the Mean: the Normal Deviate Z Test

Students T Test for Single Samples

Students T Test for Correlated and Independent Groups

Introduction to the Two-Way Analysis of Variance

Chi-Square and Other Nonparametric Tests

Filters

Exam 15: Introduction to the Analysis of Variance

Define sampling distribution of F .

MSbetween is a measure of _________.

Using the Scheffé test, the appropriate critical value = _________.

A significant F obt value indicates that all the group means are significantly different from each other.

F obt = MSbetween / MSwithin

When comparisons are planned in advance of conducting the experiment, you need a significant value for F obt before you can make the comparisons.

Define between-groups sum of squares ( ΣS between ).

The HSD test is more powerful than the Scheffé test.

Given the following data: a. What is the value of F obt b. What is the value of ? c. What is the value of SS total ?

Is the Type I error rate higher when doing a priori comparisons or when doing the Tukey HSD test? Explain.

The ANOVA is robust regardless of whether or not sample sizes are equal.

With a priori comparisons, there is no correction for the inflated probability of making a Type I error.

Define simple randomized group design.

Describe the sampling distribution of F .

In general, which of the following tests is the most powerful test to detect a difference between group means?

What is the value of F obt?

The F ratio increases as _________.

Statistics and Scientific Method

Basic Mathematical and Measurement Concepts

Frequency Distributions

Measures of Central Tendency and Variability

The Normal Curve and Standard Scores

Correlation

Linear Regression

Random Sampling and Probability

Binomial Distribution

Introduction to Hypothesis Testing: Using the Sign Test

Power

Sampling Distributions, Sampling Distribution of the Mean: the Normal Deviate Z Test

Students T Test for Single Samples

Students T Test for Correlated and Independent Groups

Introduction to the Two-Way Analysis of Variance

Chi-Square and Other Nonparametric Tests

Filters

MS_between is a measure of _________.

Using the Scheffé test, the appropriate critical value= _________.

A significant F _obt value indicates that all the group means are significantly different from each other.

F _obt = MS_between / MS_within

Define between-groups sum of squares ( ΣS _between ).

What is the value of F _obt?