Question 1

If an experiment using ANOVA results in a significant F value, it necessarily follows that the IV has had an important effect. Is this true? Explain.

Accepted Answer

If an experiment using Analysis of Varia

Question 2

With one-way, independent groups ANOVA, increasing sample variance decreases power.

Accepted Answer

A) True 
 B)False

Question 3

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.   MSbetween = _________.

Accepted Answer

A)  48.250 
B)  50.145 
C)  51.254 
D)  45.750 
A)  48.250 
B)  50.145 
C)  51.254 
D)  45.750

Question 4

If SStotal = 96, SSwithin = 47, and SS  between  = 68, what would you conclude?

Accepted Answer

A)  reject H0 
B)  retain H0 
C)  cannot be determined from information given 
D)  there must be an error in the calculations 
A)  reject H0 
B)  retain H0 
C)  cannot be determined from information given 
D)  there must be an error in the calculations

Question 5

If n = 8 and MSwithin = 18.2, what is the value of the denominator for a planned comparison?

Accepted Answer

A)  4.55 
B)  2.27 
C)  1.51 
D)  2.13 
A)  4.55 
B)  2.27 
C)  1.51 
D)  2.13

Question 6

In the analysis of variance, the larger F obt is (df constant), the lower the probability that the results of the experiment are due to chance.

Accepted Answer

A) True 
 B)False

Question 7

Define the analysis of variance.

Accepted Answer

Analysis of Variance, commonly known as

Question 8

A clinical psychologist is interested in comparing the effectiveness of short term relaxation and cognitive-behavioral therapy in treating mild depression. An experiment is conducted in which 15 patients with mild depression are randomly selected and assigned 5 each to a relaxation therapy group, a cognitive/behavioral therapy group, and an attention placebo group. Therapy is administered until the patient is judged no longer depressed or until 10 treatment sessions have elapsed. The following data is obtained. Scores are the number of sessions for each patient.   Doing planned comparisons, using a = 0.05, what is your conclusion?

Accepted Answer

A)  accept H 0 ; the two therapies are equal in effectiveness 
B)  retain H 0 ; we cannot conclude the two therapies differ in effectiveness 
C)  reject H 0 ; the groups are not significantly different 
D)  reject H 0 ; the two therapies appear to be differentially effective 
A)  accept H 0 ; the two therapies are equal in effectiveness 
B)  retain H 0 ; we cannot conclude the two therapies differ in effectiveness 
C)  reject H 0 ; the groups are not significantly different 
D)  reject H 0 ; the two therapies appear to be differentially effective

Question 9

In general the number of planned comparisons should _________.

Accepted Answer

A)  equal k 
B)  be kept to a minimum 
C)  equal n k 
D)  equal zero 
A)  equal k 
B)  be kept to a minimum 
C)  equal n k 
D)  equal zero

Question 10

The one-way ANOVA partitions the total variability into _________.

Accepted Answer

A)  ΣSwithin and ΣS  between  
B)  MSwithin and MSbetween 
C)  ΣSwithin and ΣS  total  
D)  ΣS  between  and MSbetween 
A)  ΣSwithin and ΣS  between  
B)  MSwithin and MSbetween 
C)  ΣSwithin and ΣS  total  
D)  ΣS  between  and MSbetween

Question 11

A clinical psychologist is interested in comparing the effectiveness of short term relaxation and cognitive-behavioral therapy in treating mild depression. An experiment is conducted in which 15 patients with mild depression are randomly selected and assigned 5 each to a relaxation therapy group, a cognitive/behavioral therapy group, and an attention placebo group. Therapy is administered until the patient is judged no longer depressed or until 10 treatment sessions have elapsed. The following data is obtained. Scores are the number of sessions for each patient.   The value of MS  between ( groups i and j) = _________.

Accepted Answer

A)  1.800 
B)  12.800 
C)  5.000 
D)  86.667 
A)  1.800 
B)  12.800 
C)  5.000 
D)  86.667

Question 12

The F distribution is a normal curve.

Accepted Answer

A) True 
 B)False

Question 13

If df between = 2 and df within = 14, using a = 0.05, F crit = _________.

Accepted Answer

A)  19.42 
B)  4.60 
C)  3.74 
D)  6.51 
A)  19.42 
B)  4.60 
C)  3.74 
D)  6.51

Question 14

If df between = 3 and df total = 29 and F obt = 3.15, what would you conclude using a = 0.05?

Accepted Answer

A)  reject H0 
B)  reject H1 
C)  retain H0 
D)  retain H1 
A)  reject H0 
B)  reject H1 
C)  retain H0 
D)  retain H1

Question 15

What is your conclusion? Again use a = 0.05.

Accepted Answer

A)  retain H 0 
B)  reject H 1 
C)  reject H 0 
D)  accept H 0 
A)  retain H 0 
B)  reject H 1 
C)  reject H 0 
D)  accept H 0

Question 16

Why is ΣS within insensitive to the effects of the independent variable?

Accepted Answer

The term "ΣS within" typically refers to

Question 17

A clinical psychologist is interested in comparing the effectiveness of short term relaxation and cognitive-behavioral therapy in treating mild depression. An experiment is conducted in which 15 patients with mild depression are randomly selected and assigned 5 each to a relaxation therapy group, a cognitive/behavioral therapy group, and an attention placebo group. Therapy is administered until the patient is judged no longer depressed or until 10 treatment sessions have elapsed. The following data is obtained. Scores are the number of sessions for each patient.   SS  between  = _________.

Accepted Answer

A)  27.53 
B)  26.13 
C)  23.67 
D)  28.60 
A)  27.53 
B)  26.13 
C)  23.67 
D)  28.60

Question 18

The Scheffé test controls for doing multiple comparisons by using a lower alpha level than was used in the ANOVA.

Accepted Answer

A) True 
 B)False

Question 19

Define total variability ( ΣStotal ).

Accepted Answer

The notation "ΣS" seems to be a mix of s

Question 20

Define within-groups sum of squares ( ΣSwithin ).

Accepted Answer

The within-groups sum of squares (often

If an experiment using ANOVA results in a significant F value, it necessarily follows that the IV has had an important effect. Is this true? Explain.

With one-way, independent groups ANOVA, increasing sample variance decreases power.

If SS_total = 96, SS_within = 47, and SS _between = 68, what would you conclude?

If n = 8 and MS_within = 18.2, what is the value of the denominator for a planned comparison?

In the analysis of variance, the larger F obt is (df constant), the lower the probability that the results of the experiment are due to chance.

Define the analysis of variance.

In general the number of planned comparisons should _________.

The one-way ANOVA partitions the total variability into _________.

The F distribution is a normal curve.

If df _between = 2 and df _within = 14, using a = 0.05, F _crit = _________.

If df between = 3 and df total = 29 and F _obt = 3.15, what would you conclude using a = 0.05?

What is your conclusion? Again use a = 0.05.

Why is ΣS within insensitive to the effects of the independent variable?

The Scheffé test controls for doing multiple comparisons by using a lower alpha level than was used in the ANOVA.

Define total variability ( ΣS_total ).

Define within-groups sum of squares ( ΣS_within ).

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

If an experiment using ANOVA results in a significant F value, it necessarily follows that the IV has had an important effect. Is this true? Explain.

With one-way, independent groups ANOVA, increasing sample variance decreases power.

If SStotal = 96, SSwithin = 47, and SS between = 68, what would you conclude?

If n = 8 and MSwithin = 18.2, what is the value of the denominator for a planned comparison?

In the analysis of variance, the larger F obt is (df constant), the lower the probability that the results of the experiment are due to chance.

Define the analysis of variance.

In general the number of planned comparisons should _________.

The one-way ANOVA partitions the total variability into _________.

The F distribution is a normal curve.

If df between = 2 and df within = 14, using a = 0.05, F crit = _________.

If df between = 3 and df total = 29 and F obt = 3.15, what would you conclude using a = 0.05?

What is your conclusion? Again use a = 0.05.

Why is ΣS within insensitive to the effects of the independent variable?

The Scheffé test controls for doing multiple comparisons by using a lower alpha level than was used in the ANOVA.

Define total variability ( ΣStotal ).

Define within-groups sum of squares ( ΣSwithin ).

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

If SS_total = 96, SS_within = 47, and SS _between = 68, what would you conclude?

If n = 8 and MS_within = 18.2, what is the value of the denominator for a planned comparison?

If df _between = 2 and df _within = 14, using a = 0.05, F _crit = _________.

If df between = 3 and df total = 29 and F _obt = 3.15, what would you conclude using a = 0.05?

Define total variability ( ΣS_total ).

Define within-groups sum of squares ( ΣS_within ).