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) Fourhoursofsensoryrestrictionplusa15minute“therapeutic”tapeadvisingthatprofessional 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 di↵erences between pre and post treatment scores (pre - post) are shown below, along with some sample statistics. Use this information to independently test the e↵ectiveness of each treatment. Make sure to clearly state your hypotheses, check conditions, and interpret results in the context of the data. Tr1 Tr2 Tr3 Mean 6.21 2.86 -3.21 SD 12.3 7.94 8.57 N 14 14 14
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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) Fourhoursofsensoryrestrictionplusa15minute“therapeutic”tapeadvisingthatprofessional 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 di↵erences between pre and post treatment scores (pre - post) are shown below, along with some sample statistics. Use this information to independently test the e↵ectiveness of each treatment. Make sure to clearly state your hypotheses, check conditions, and interpret results in the context of the data.
Tr1 Tr2 Tr3
Mean 6.21 2.86 -3.21
SD 12.3 7.94 8.57
N 14 14 14
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