In: Statistics and Probability
Can someone please answer this question? thank you
You think that, in addition to cannabis use, road conditions may also affect driving abilities and contribute to an increased risk of road accidents. You suggest that further testing be made using 5 different road-condition scenarios in the virtual driving simulator. Your proposal is accepted and a new group of 60 individuals are solicited to participate in the study and are randomly assigned to one of the various treatment groups.
Score on Driving Test after Intake (Max.30) by Scenario | ||||
Intake/Treatment Groups | ||||
Scenarios | Light Dose-2 hours Wait | Light Dose-4 hours Wait | Heavy Dose- 2 hours Wait | Heavy Dose- 4 hours Wait |
Scenario-1 | 28 | 27 | 27 | 24 |
30 | 27 | 25 | 24 | |
26 | 27 | 23 | 24 | |
Scenario-2 | 23 | 25 | 19 | 23 |
23 | 29 | 21 | 21 | |
20 | 24 | 23 | 19 | |
Scenario-3 | 26 | 30 | 23 | 21 |
25 | 28 | 19 | 25 | |
24 | 29 | 23 | 23 | |
Scenario-4 | 19 | 20 | 18 | 14 |
22 | 21 | 15 | 17 | |
25 | 22 | 21 | 20 | |
Scenario-5 | 24 | 24 | 19 | 20 |
22 | 23 | 17 | 24 | |
20 | 22 | 15 | 25 |
Significant interaction effect between cannabis intake and road conditions;
No, there is no significant interaction effect between cannabis intake and road conditions.
Significant main effect of the cannabis intake factor (if warranted);
Yes, there is a significant main effect of the cannabis intake factor.
Significant main effect of the road conditions factor (if warranted).
Yes, there is a significant main effect of the road conditions factor.
Scenarios | Light Dose-2 hours Wait | Light Dose-4 hours Wait | Heavy Dose- 2 hours Wait | Heavy Dose- 4 hours Wait | ||
Scenario-1 | 28 | 27 | 27 | 24 | ||
30 | 27 | 25 | 24 | |||
26 | 27 | 23 | 24 | |||
Scenario-2 | 23 | 25 | 19 | 23 | ||
23 | 29 | 21 | 21 | |||
20 | 24 | 23 | 19 | |||
Scenario-3 | 26 | 30 | 23 | 21 | ||
25 | 28 | 19 | 25 | |||
24 | 29 | 23 | 23 | |||
Scenario-4 | 19 | 20 | 18 | 14 | ||
22 | 21 | 15 | 17 | |||
25 | 22 | 21 | 20 | |||
Scenario-5 | 24 | 24 | 19 | 20 | ||
22 | 23 | 17 | 24 | |||
20 | 22 | 15 | 24 | |||
Factor 2 | ||||||
Means: | ||||||
Light Dose-2 hours Wait | Light Dose-4 hours Wait | Heavy Dose- 2 hours Wait | Heavy Dose- 4 hours Wait | |||
Scenario-1 | 28.0 | 27.0 | 25.0 | 24.0 | 26.0 | |
Scenario-2 | 22.0 | 26.0 | 21.0 | 21.0 | 22.5 | |
Factor 1 | Scenario-3 | 25.0 | 29.0 | 21.7 | 23.0 | 24.7 |
Scenario-4 | 22.0 | 21.0 | 18.0 | 17.0 | 19.5 | |
Scenario-5 | 22.0 | 23.0 | 17.0 | 22.7 | 21.2 | |
23.8 | 25.2 | 20.5 | 21.5 | 22.8 | ||
3 | replications per cell | |||||
ANOVA table | ||||||
Source | SS | df | MS | F | p-value | |
Factor 1 | 328.40 | 4 | 82.100 | 20.61 | 2.77E-09 | |
Factor 2 | 202.47 | 3 | 67.489 | 16.94 | 2.95E-07 | |
Interaction | 92.53 | 12 | 7.711 | 1.94 | .0589 | |
Error | 159.33 | 40 | 3.983 | |||
Total | 782.73 | 59 |