# Project #17774 - Statistics

1. Research in extrasensory perception (ESP) has taken many directions over the years.  Recently psychologists at NYU lead by the now famous Dr. Peter Vinkman have hypothesized that hypnosis may be helpful in assisting ESP ability.  Consequently experiments were designed to compare the ESP success of subjects when they are awake (before) and when hypnotized (after).

ESP experiments are often done with Zener cards which have the following  5 symbols:

Cross     Star     Circle     "Squiggly" lines     Square

Fourteen college students were each asked to "guess" the identity of 200 randomly presented Zener cards. The same "sender" and "receiver" were used for both conditions.  For 100 trials, both the "sender" and the "receiver" were awake and in the other 100 trials, the "receiver" was hypnotized.

Table 1.Number of correct responses out of 100 for each condition (N = 14 "Teams").

 Team Both Awake Receiver hypnotic di rank A B C D E   F G H I J   K L M N 18 19 16 21 16   20 20 14 11 22   19 29 16 15 25 20 26 26 20   23 14 18 18 20   22 27 19 21

The “di” and “rank” columns are used for Wilcoxon  matched pairs signed rank analysis

a) Use the Wilcoxon matched pairs signed rank analysis (your calculation and via Table B.12) to test a null hypothesis that there is no difference between the number of correct responses between hypnotic and awake receivers.

b) R code for the test in (c).

2. A study assessed the effectiveness of a new drug designed to reduce repetitive behaviors in children affected with autism. A total of 8 children with autism enroll in the study and the amount of time (mins) that each child is engaged in repetitive behavior during three hour observation periods are measured both before treatment and then again after taking the new medication for a period of 1 week. The data are shown below.

a)      Use the Wilcoxon matched pairs signed rank analysis (your calculation and via Table B.12) to test a null hypothesis that the new drug reduced the repetitive behavior.

b)      Please us R to do the same test

 Child Before Treatment After 1 Week of Treatment Difference (Before-After) 1 85 75 2 70 50 3 40 50 4 65 40 5 80 20 6 75 65 7 55 40 8 20 25

 Subject Mathematics Due By (Pacific Time) 11/24/2013 11:00 pm
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