What is factorial notation


Assignment:

Question 1. Complete each of the following ANOVA summary tables. In addition, answer the following questions for each of the QANOVA summary tables:

  1. What is the factorial notation?
  2. How many conditions were in the study?
  3. How many subjects were in the study?
  4. Identify significant main effects and interaction effects.

Source

 

 

df

 

 

SS

MS

F

A

 

1

60

   

B

 

2

40

   

A X B

 

6

150

   

Error

 

72

     

Total

 

39

150

   

A researcher is attempting to determine the effects of practice and gender on a timed task. Participants in an experiment are given a computerized search task. They search a computer screen of various character and attempt to find a particular character on each trial. When they find the designated character, they press a button to stop a timer. Their reaction time (in seconds) on each trial is recorded. Subjects practice for 2, 4, or 6 hours and are either female or male. The reaction time data for the 30 subjects appear here


Women

Men

   

2 Hours

12

11

   
         
 

11

12

   
 

13

12

   
 

12

13

   
 

11

12

   

4 Hours

11

11

   
 

10

8

   
 

10

8

   
 

10

10

   
 

8

10

   
 

7

9

   

6 Hours

7

8

   
 

5

6

   
 

7

8

   
 

6

6

   
 

7

8

   

Source

df

SS

MS

F

Gender

 

0.027

   

Practice

 

140.60

   

Gender X Practice

 

0.073

   

Error

 

28.00

   

Total

 

168.70

   

  1. Complete the ANOVA summary table using the preceding data to calculate the sum of squares.
  2. Are the values of Fobt significant at cx =.05? At cx =.01?
  3. What conclusions can be drawn from the F-ratio
  4. What is the effect size, and what does this mean?
  5. Graph the means.

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