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POINT BISERIAL COEFICIENT OF CORRELATION (rpb). Casimiro , Haizelyn N. Endaya , Dominique Francesca E. Grumo , Rona Rose A. The point biserial correlation is a measure of association between a continuous variable and a binary variable (Simon, 2005-2008).
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POINT BISERIAL COEFICIENT OF CORRELATION (rpb) Casimiro, Haizelyn N. Endaya, Dominique Francesca E. Grumo, Rona Rose A.
The point biserial correlation is a measure of association between a continuous variable and a binary variable (Simon, 2005-2008). • The formula, according to Vizcarra, 2003:
Where: • = Point biserialcoefficient • = Mean of the interval or ratio scale variable of one group (x) • = Mean of the other group (y) • = Number of population of one group • = Number of population in the other group • = Total number of population () • = Standard Deviation of the two groups
EXAMPLE: The researcher would like to determine if the scores of 16 students of the same school on a 20-point math test is associated with their gender.
STEPS: • Compute the mean of X1 and X2. = 11.87 = 12 • Compute the standard deviation of X and Y using the formula:
Substitute in the formula of rpb: Negligible Correlation
Testing the significance of rpb: • The point biserial coefficient of correlation is a special case of Pearson r and its interpretation is similar to each other. The t-test for rpb is used to determine their significant relationship. • Computed t = 0.064 • Critical t at .05 with 14 df = 2.14 • Decision = Not Significant
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References • [Simon, 05-08] Simon, Steve (2005-2008). Retrieved August 31,2009. Stats: What is a point biserial coefficient correlation?. Website: http://www.cmh.edu/stats/definitions/biserial.htm • [Vizcarra, 03] Vizacrra, Florante O., Ed. D.(2003) . Introduction To Educational Research