Question

PROBLEM #3: dyskinesia denotes a syndrome comprising a variety of abnormal involuntary 15 assumed to follow long-term use of antipsychotic drugs. In an experiment to sce whether the drug deanol produced a greater improvement from base-line scores than a placebo treatment (“Double Blien Evaluation of Deanol in Tardive Dyskinesia," J. Amer. Med. Assn., 1978, pp. 1997-1998), the two treatments were administered for four- weeks each in random order to 14 patients, resulting in the following total severity index (TSI) scores: Patient: Deanol: Placebo: 1 12.4 9.2 2 6.8 10.2 3 12.6 12.2 4 13.2 12.7 5 12.4 12.1 6 7.6 9.0 7 12.1. 12.4 Patient: Deanol: Placebo: 8 5.9 5.9 9 12.0 8.5 10 1.1 4.8 11 11.5 7.8 12 13.0 9.1 13 5.1 3.5 14 9.6 6.4 (The investigator attributed placebo improvement to frequent attention and the nature of the experiment.) Does the data indicate than on average deanol yields a higher TSI than the placebo treatment? Test using a = 10. (25 pts)

Answer 1

xideanol Yeild X are Placebo. won't Ho llall to test. us . Hi. 111702 24 0-10 (x - 2)2 7.48 X2 19.2 10.2 12.4 6.8 (X2-822 0.13 1.84 11-27 14.28 12.6 13.2 8.20 8.62 12.50 7.48 4.26 12.2 12.7 12.4 12.1 goo 10.61 0:02 12.68 12.4 12 .1 3.9 12.0 8.66 0.12 8.5 5.93 14.17 5.46 73.35 3.37 11.13 4.8 16.34 11.5 13.0 5. g.) 3.5 1.og 007 28.55 5.97 112.19 20183 000 182.19 6.4 135.29 123.26 21 = {4 = 185.24 g. 66 14 123.76 28. 84 {x2

82= = - 14.06 {(21-51)2 (n-1) 182.79 14-1 f² = = = 8.63. {(x - 2)² n 112.19 14-1 pooled variance f2= (n-1) 12+ (02-1) 1² (OIt92-2) 82 = 12.2004 13 [14.06+ 8.63] = 13+13 -2 J12.2004 - 3.5051 2. Sal Test statistic, Trays 21 - 22 ni m2 9.66 - 8.84 0.82 1.3208 3.5061 txt Tcal = 0.619 P-value = p [[nay > 0:619] = 0.0645 1. P-value = 0.0645 we may regeet < Ho =0.10 at 5% 1.0.5. It's sufficient result for conclude that avenue deanol yeilds higher TSI than the placebo treatment.