What feature or features distinguish between them

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1) Bandura, Blanchard, and Ritter (1969) conducted an experiment that provided individuals with one of four treatments for their intense fear of snakes. One group worked with a model - a person who handled a 4-foot king snake and encouraged others to imitate her. One group watched a film of adults and children who enjoyed progressively closer contact with a king snake. A third group received desensitization therapy, and a fourth group served as a control, receiving no treatment. The numbers of snake-approach responses after treatment are listed in the table. A higher number of snake-approach responses indicates that the individual was willing to approach a snake more often.

Type of Treatment

Model

Film

Desensitization

Control

29

22

21

13

27

18

17

12

27

17

16

9

Perform a hypothesis test to determine if there is a significant difference between the groups in the number of snake-approach responses. Show all necessary components of a full hypothesis test, including a source table.

2) What is the effect size for this result? Is this a large effect?

3) An employer wants to know what types of activities encourage her employees to exercise. The first month, she gave out information on the health benefits of exercise; the second, she sent daily emails encouraging physical activity; and in the third month, she gave health insurance bonuses for amount of exercise. She recorded the number of times 4 of her employees exercised in each of the three months. Can she determine if there is a significant difference in the number of days exercised between the three types of activities? Again, show all necessary components of a hypothesis test, including a source table.

Employee

Month 1 (Info)

Month 2 (Emails)

Month 3 (Bonuses)

1

4

7

29

2

6

7

26

3

2

11

24

4

3

9

21

4) Calculate a Tukey's HSD post-hoc test for the difference between Month 2 and Month 3. Is the difference significant? Was a post-hoc test necessary to determine this?

5) A market testing company wants to know if there is a difference in preference between two new types of chocolate bar. They also want to know if there is a gender difference.

a) How many cells would this ANOVA have?

b) What are the independent and dependent variables?

c) Here is the source table for this study. Write a conclusion for these results.

Source

SS

df

MS

F

Gender

6.24

1

6.24

6.50

Chocolate bar

20.24

1

20.24

21.08

Gender*Chocolate

8.99

1

8.99

9.36

Within

11.49

12

0.96

 

Total

46.96

15

 

 

d) What is the effect size for the interaction effect?

6) Find the mistakes this source table.

Source

SS

df

MS

F

Between

1621

2

810.5

81.318

Subjects

45.825

5

91.65

0.919

Within

99.675

10

9.967

 

Total

1866.50

17

109.79

 

7) What type of ANOVA is the source table in #6 for?

8) What is the main factor that differentiates whether you should calculate a t statistic or an F statistic?

9) How many types of ANOVA have we covered? What feature or features distinguish between them?

10) Look back to the graphic you created to help you choose which z or t test to use (or use one of the graphics from the answer key). Modify the graphic to include the different types of ANOVA from this unit.

Reference no: EM13245746

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