How can we control for the possible effects of the stress of oral injection and the injected saline when evaluating the effect of treatment three
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7.31 Prison isolation experiment, Part I. Subjects from Central Prison in Raleigh, NC, volunteered for an experiment involving an "isolation" experience. The goal of the experiment was to find a treatment that reduces subjects' psychopathic deviant T scores. This score measures a person's need for control or their rebellion against control, and it is part of a commonly used mental health test called the Minnesota Multiphasic Personality Inventory (MMPI) test. The experiment had three treatment groups: (1) Four hours of sensory restriction plus a 15 minute "therapeutic" tape advising that professional help is available. (2) Four hours of sensory restriction plus a 15 minute "emotionally neutral" tape on training hunting dogs. (3) Four hours of sensory restriction but no taped message. Forty-two subjects were randomly assigned to these treatment groups, and an MMPI test was administered before and after the treatment. Distributions of the differences between pre and post treatment scores (pre - post) are shown below, along with some sample statistics. Use this information to independently test the effectiveness of each treatment. Make sure to clearly state your hypotheses, check conditions, and interpret results in the context of the data.
Supreeta N.
4. Subjects from the general population of Central Prison, Raleigh, NC, volunteered for an experiment involving an ""isolation"" experience. (Those convicted of felon offenses are housed in this facility.) The experimental treatment exposed inmates to combined sensory restriction and suggestion. The intent was to reduce the psychopathic deviant T scores (Pd T), Scale 4 of the Minnesota Multiphasic Personality Inventory (MMPI) test. Briefly, the three treatments consisted of Four hours of sensory restriction plus a 15 minute ""therapeutic"" tape advising that professional help is available. Four hours of sensory restriction plus a 15 minute ""emotionally neutral"" tape on training hunting dogs. Four hours of sensory restriction but no taped message. Forty-two subjects were assigned to one of the three treatment groups (for a total of 14 in each treatment group). For each subject the MMPI was administered before and after the experimental treatment. Distributions of pre-treatment and post-treatment values of Pd T scores are given below for the 42 individuals. Tr 1 Tr 2 Tr 3 Mean 6.21 2.86 -3.21 SD 12.3 7.94 8.57 n 14 14 14 https://stat.duke.edu/resources/datasets/prison-isolation a. State the appropriate null and alternative hypotheses for this test. b. The ANOVA resulting from doing this test is below. Use the F-distribution to find the p-value for the test. Using α = 0.05, does the Pd T score differ by treatment? Make a conclusion in context. Df Sum Sq Mean Sq F value treatment 2 639.48 319.74 3.33 Residuals 39 3740.43 95.91 c. Are the conditions for using ANOVA reasonably satisfied? Explain briefly.
Jon S.
Prison isolation experiment (Adapted from problem 7.31, page 277) Subjects from Central Prison in Raleigh, NC, volunteered for an experiment involving an "isolation" experience. The goal of the experiment was to find a treatment that reduces subjects' psychopathic deviant T scores. (The "psychopathic deviant T score" measures a person's need for control or their rebellion against control, and it is part of a commonly used mental health test called the Minnesota Multiphasic Personality Inventory MMPI test.) The experiment had three treatment groups: Treatment 1: Four hours of sensory restriction plus a 15 minute "therapeutic" tape advising that professional help is available. Treatment 2: Four hours of sensory restriction plus a 15 minute "emotionally neutral" tape on training hunting dogs. Treatment 3: Four hours of sensory restriction but no taped message. Forty-two subjects were randomly assigned to these treatment groups, and an MMPI test was administered before and after the treatment. Distributions of the differences between pre and post treatment scores (pre - post) are shown below. mean Treatment 1: 6.21, Treatment 2: 2.86, Treatment 3: -3.21 SD Treatment 1: 12.3, Treatment 2: 7.94, Treatment 3: 8.57 n Treatment 1: 14, Treatment 2: 14, Treatment 3: 14 Compute the p-value for the treatment that produced the greatest reduction in subjects' psychopathic deviant T scores.
Sri K.
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