Answered: Another Test for Cocaine AddictionAn…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Another Test for Cocaine Addiction

An experiment was designed on helping cocaine addicts break the cocaine addiction, in which cocaine addicts were randomized to take desipramine, lithium, or a placebo. The results (relapse or no relapse after six weeks) are summarized in the table below.

	Relapse	No relapse	Total
Desipramine	10	14	24
Lithium	18	6	24
Placebo	20	4	24
Total	48	24	72

(a) From the table, we calculate a χ2 statistic of 10.5 and use a χ2 distribution to calculate a p-value of 0.005 using these data, but we also could have used a randomization distribution. How would you use cards to generate a randomization sample? What would you write on the cards, how many cards would there be of each type, and what would you do with the cards? (Open-ended, typed answer)

(b) If you generated 1000 randomization samples according to your procedure from part (a) and calculated the χ2 statistic for each, approximately how many of these statistics do you expect would be greater than or equal to the χ2 statistic of 10.5 found using the original sample?

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