![]() Is distributed as Mann–Whitney U with sample sizes n 1 and n 0 when the null hypothesis is true. If we divide the data set into two groups, group 1 which received the value "1" on Y and group 2 which received the value "0" on Y, then the point-biserial correlation coefficient is calculated as follows: ![]() To calculate r pb, assume that the dichotomous variable Y has the two values 0 and 1. This can be shown by assigning two distinct numerical values to the dichotomous variable. 457 (dibaca : 0,457) hal tersebut berarti nilai korelasi variable X (Motivasi Belajar) dengan variable Y (Hasil Belajar) Sedang, karena nilai korelasinya berada pada rentang nilai 0,40-0,599. The point-biserial correlation is mathematically equivalent to the Pearson (product moment) correlation that is, if we have one continuously measured variable X and a dichotomous variable Y, r XY = r pb. Baca Juga: Berdasarkan data hasil output analisis korelasi sederhana dengan SPSS (Bivariate Correlate) di atas diketahui bahwa nilai korelasi sebesar. If this is the case, a biserial correlation would be the more appropriate calculation. ![]() ![]() When a new variable is artificially dichotomized the new dichotomous variable may be conceptualized as having an underlying continuity. In most situations it is not advisable to dichotomize variables artificially. Y) is dichotomous Y can either be "naturally" dichotomous, like whether a coin lands heads or tails, or an artificially dichotomized variable. The point biserial correlation coefficient ( r pb) is a correlation coefficient used when one variable (e.g. ![]()
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