Question

25. Treating Seasonal Affective Disorder A three-arm randomized controlled trial for treating seasonal affective disorder (SAD) looked at the alleviation of SAD symptoms three weeks after beginning a therapy of cognitive behavioral therapy (CBT), light therapy (LT) or antidepressant bupropion (AB). The results are offered below Alleviation after three weeks of treatment Minor alleviation of symptoms 14 16 Major alleviation in symptoms 30 16 Therapy CBT LT AB No alleviation of symptoms 43 29 Given the table above, which of the following is the appropriate procedure to use to assess whether the status of a patient's symptoms is influenced by the type of therapy received? Choose from below and state the appropriate hypotheses. a. x2 goodness of fit test Hypothesis test for p1- p2 independence test VS b. Assuming the distribution of symptom status is the same for the treatment populations (i.e., that Ho directly above is true), which of the following values represents the expected value of the test statistic? Circle one: None of these Assuming the distribution of symptom status is the same for the treatment populations (ie., that Ho in (a) above is true), how many of the sampled individuals who received cognitive-behavioral therapy would you expect to see major alleviation in their symptoms? C. Final answer: d. Continuing further from the hypotheses in (a), compute the contribution to the x2 test statistic based on patients who received cognitive-behavioral therapy and saw major alleviation in their symptoms. Final answer: The test statistic summarizing the whole table is χ2-9.456. Compute its associated p-value and complete the conclusion to the test below at the e. a0.05 level: p-value: Thus, the level of alleviation in SAD symptoms for a patient (circle your answer): does appear to be influenced by the type of treatment they undergo does not

Answer 1

Venn dt alte viatton Sjm of Sym 43 q 7 CBT 59 LT AB 6 3+ 5 d. hyroth es Null hoPothes thse Yobtal X Column total Grand t fedtea Value Ming | Муд? alleviation m Symptoms No alleviation T(chaf Total 81x4 82448 45. 814 57x11 3.0611 59 LT 16.31 is& i88 42 52 188 8. 6S SF 34

(ANo to find chi- S?uaie test- Staish 3-45-81L I12 9t-o64 5 -8I 6 311 lI-612 227)2 22.1구 8-2651 df Neco tfi te f- Value teie using the Vaue f X(4s) and df (y the* Ce Jet the P-Value using ?-value. om Chi-Su ) P-Valuc 6.0506 (o-osas)> (o.os) 7-Valur ๘ eJief3c ue

Coclsi :- Throe 8 insuffinent evidence to Conclude that t levet of altevistion in SAD symploms fa Patet does aprear.to be İnflue, cedly th tyle of tsreatmemt hu S^mf pUmde