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Published byMagnus Caldwell Modified over 9 years ago
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Casimiro, Haizelyn N. Endaya, Dominique Francesca E. Grumo, Rona Rose A.
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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:
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Where: = Point biserial coefficient = 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
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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. Boys (X 1 )Girls (X 2 ) 1415 1210 199 117 98 719 616 1811 Total = 95Total = 96
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STEPS: 1. Compute the mean of X 1 and X 2. = 11.87= 12 2. Compute the standard deviation of X and Y using the formula:
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3. Substitute in the formula of rpb: Negligible Correlation
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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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Thank you
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[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
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