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Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter...

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Seasonal affective disorder (SAD) is a type of depression duringseasons with less daylight (e.g., winter months). One therapy forSAD is phototherapy, which is increased exposure to light used toimprove mood. A researcher tests this therapy by exposing a sampleof patients with SAD 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 lighttherapy). All participants rated their mood following this therapyon a scale from 1 (poor mood) to 9 (improvedmood). The hypothetical results are given in the followingtable.

  Light Intensity
LowMediumHigh
Timeof
Day		Morning557
668
446
779
595
678
Night569
887
666
758
497
376

(a) Complete the F-table and make a decision to retainor reject the null hypothesis for each hypothesis test. (Round youranswers to two decimal places. Assume experimentwise alpha equal to0.05.)

Source of
Variation		SSdfMSF
Time ofday
Intensity
Timeof
day ×
Intensity
Error  
Total

(b) Compute Tukey's HSD to analyze the significant maineffect.

The critical value is ____ for each pairwise comparison.

(c) Summarize the results for this test using APA format.

Answer & Explanation Solved by verified expert
3.6 Ratings (550 Votes)

ANOVA
Source of Variation SS df MS F P-value F crit
time of day 0.11 1.00 0.11 0.05 0.82 4.17
intensity 15.72 2.00 7.86 3.68 0.04 3.32
Interaction 0.72 2.00 0.36 0.17 0.85 3.32
Within 64.00 30.00 2.13
Total 80.56 35.00

p value for time of day = 0.82 > 0.05,

effect not signifant

p value for intensity = 0.04 <0.05 , effects are significant

p value for interaction : 0.85 > 0.05, interaction not significant

..............

Level of significance 0.05
no. of treatments,k 3
DF error =N-k= 30
MSE 2.130
q-statistic value(α,k,N-k) 3.4900
critical value = q*√(MSE/n)

HSD =1.47 (critical value)

confidence interval
population mean difference critical value lower limit upper limit result
µ1-µ2 -13.00 1.47 -14.47 -11.53 means are different
µ1-µ3 -19.00 1.47 -20.47 -17.53 means are different
µ2-µ3 -6.00 1.47 -7.47 -4.53 means are different

Please revert back in case of any doubt.

Please upvote. Thanks in advance.
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