threeway anova 15 points sec 02  Variables Affecting Driving Performance For example, consider a hypothetical experiment concerning the driving ability of two different types of drivers – inexp

threeway anova  15 points  sec 02

Variables Affecting Driving Performance

For example, consider a hypothetical experiment concerning the driving ability of two different types of drivers – inexperienced (A1) and experienced (A2). These people will drive on one of three types of roads – first class (B1), second class (B2), or dirt (B3) – under one of two different driving conditions – day (C1) and night (C2). Thus we have a 2x3x2 factorial. The experiment will include four participants per condition (for a total of 48 participants), and the dependent variable will be the number of steering corrections in a one mile section of roadway.

C1

C2

B1

B2

B3

B1

B2

B3

A1

4

23

16

21

25

39

7

15

27

14

33

44

6

21

23

19

38

48

10

13

16

26

29

43

A2

6

2

14

6

10

13

3

9

12

7

11

11

11

9

9

8

9

12

6

11

13

9

12

11

1. Conduct the appropriate anova. Copy and paste the output below from your 2(driver Experience) x 2 (day/night) x 3(roadCondition) analysis if variance. from the analysis

1. Answer the questions below based on the analysis.

a)      What number is the average variance in each group ________?

b)      What number is the variance among the main effect means of road condition ____

c)      What number reflects the variance among the driver experience x road condition cell means that remains after the variance due to the main effect means of driver experience and road condition have been removed. _______

d)      What number is the denominator for all F ratios?_______

e)      How many df are found in any one of our 12 groups?___________

1. The three way interaction is significant so that tells us that the impact of the condition of the road on driving performance depend upon the experience of the driver and whether they were driving during the day or night. Copy and paste the relvant means below from the output.

1. In the space below examine whether the impact of road condition varies as a function of the combination of driver experience and day/night driving.

8. daynight * typedriver * typeroad

Dependent Variable:   steercorrect 

daynight

typedriver

typeroad

Mean

Std. Error

95% Confidence Interval

Lower Bound

Upper Bound

1.00

1.00

1.00

7.250

2.189

2.811

11.689

2.00

18.000

2.189

13.561

22.439

3.00

15.500

2.189

11.061

19.939

2.00

1.00

6.500

2.189

2.061

10.939

2.00

7.750

2.189

3.311

12.189

3.00

12.000

2.189

7.561

16.439

2.00

1.00

1.00

20.000

2.189

15.561

24.439

2.00

31.250

2.189

26.811

35.689

3.00

43.500

2.189

39.061

47.939

2.00

1.00

7.500

2.189

3.061

11.939

2.00

10.500

2.189

6.061

14.939

3.00

11.750

2.189

7.311

16.189

Conduct a 2(Driver Experience) x 3 (Road Condition) just for those who drive in the day copy and paste the results below.

Conduct a 2(Driver Experience) x 3 (Road Condition) just for those who drive in the night  copy and paste the results below.

Construct the appropriate F ratio to test the Driver Experience x Road Condition interaction for those who drive in the day

F=

Construct the appropriate F ratio to test the Driver Experience x Road Condition interaction for those who drive in the night

F=

Write your conclusions about the source of the three way