money and 0 for the plain paper), and then compute the correlation. ∑X ∑Y ∑XY SSXX SSYY SP r                 Square the value of the point-biserial correlation to obtain r². r² =     An independent-samples t test for the difference between the means of the two groups produced t = 3.573 with df = 16. Use the equation you learned for r² in connection with t tests to obtain r² directly from the t statistic and its df. r² =

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Zhou and Vohs (2009) published a study showing that handling money reduces the perception of pain. In the experiment, a group of college students was told that they were participating in a manual dexterity study. Half of the students were given a stack of money to count and the other half got a stack of blank pieces of paper. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122° F) and rate how uncomfortable it was. The following data show ratings of pain similar to the results obtained in the study.
Counting Money
Counting Paper
7 9
8 11
10 13
6 10
8 11
5 9
7 15
12 14
5 10
 
Convert the data from this problem into a form suitable for the point-biserial correlation (use Y = 1 for the money and 0 for the plain paper), and then compute the correlation.
∑X
∑Y
∑XY
SSXX
SSYY
SP
r
 
 
 
 
 
 
 
 
Square the value of the point-biserial correlation to obtain r².
r² =
 
 
An independent-samples t test for the difference between the means of the two groups produced t = 3.573 with df = 16. Use the equation you learned for r² in connection with t tests to obtain r² directly from the t statistic and its df.
r² =
 
 
Within rounding error, this value of r² should be equal to the value obtained from the point-biserial correlation.
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