Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of SAD patients to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their mood following this therapy on a scale from 1 (poor mood) to 9 (improved mood). The hypothetical results are given in the following table.
Light Intensity | ||||
---|---|---|---|---|
Low | Medium | High | ||
Time
of Day |
Morning | 5 | 5 | 7 |
6 | 6 | 8 | ||
4 | 3 | 6 | ||
7 | 7 | 9 | ||
5 | 9 | 5 | ||
6 | 8 | 8 | ||
Night | 5 | 6 | 9 | |
8 | 8 | 7 | ||
6 | 7 | 6 | ||
7 | 5 | 8 | ||
4 | 9 | 7 | ||
3 | 8 | 6 |
(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Round your answers to two decimal places. Assume experimentwise alpha equal to 0.05.)
Source of Variation |
SS | df | MS | F |
---|---|---|---|---|
Time of day | ||||
Intensity | ||||
Time
of day × Intensity |
||||
Error | ||||
Total |
(b) Compute Tukey's HSD to analyze the significant main effect.
The critical value is for each pairwise comparison.
Summarize the results for this test using APA format.
ANSWER::
a)
Applying ANOVA:
Source of Variation | SS | df | MS | F | P-value |
Sample | 0.44 | 1 | 0.44 | 0.18 | 0.6742 |
Columns | 17.56 | 2 | 8.78 | 3.56 | 0.0410 |
Interaction | 0.89 | 2 | 0.44 | 0.18 | 0.8360 |
Within | 74.00 | 30 | 2.47 | ||
Total | 92.89 | 35 |
b)
critical q with 0.05 level and k=3, N-k=2 df= | 8.33 |
Tukey's (HSD) =(q/√2)*(sp*√(1/ni+1/nj) = | 1.60 |
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Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter...
Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of SAD patients to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their...
seasonal affective disorder is a type of depression during seasons with less daylight one therapy for sad is phototherapy which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of patients with SAD to different intensities of light in a light box either in the morning or at night. All participants rated their mood following this therapy on a scale from 1 to 9. The hypothetical results are given in the...
(b) Compute Tukey's HSD to analyze the significant main effect. The critical value is ? for each pairwise comparison. Summarize the results for this test using APA format. u t Al seasonal affective disorder SAD 冫교 typc cf d press on during seasons with css daylight g., wint cr mcnths One therapy for SAD s pnctotherapy, w hich s ncreased Cxposure to ght used to improve mood. A researcher tests this t crapy by cxposing ฮ sample cf paticnts ith...
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