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| Korelacja punktowo-biseralna× | Współczynnik korelacji momentów iloczynowych Pearsona× | |
|---|---|---|
| Dziedzina | Statystyka | Statystyka |
| Rodzina | Hypothesis test | Hypothesis test |
| Rok powstania≠ | 1954 | 1895 |
| Twórca≠ | Robert F. Tate | Karl Pearson |
| Typ≠ | Parametric correlation coefficient | Parametric correlation |
| Źródło pierwotne≠ | Tate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation. Annals of Mathematical Statistics, 25(3), 603–607. DOI ↗ | Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. DOI ↗ |
| Inne nazwy≠ | rpb, r_pb, point biserial r, item-total correlation | pearson r, product-moment correlation, bivariate correlation, Pearson Korelasyon Analizi |
| Pokrewne | 4 | 4 |
| Podsumowanie≠ | The point-biserial correlation coefficient (r_pb) measures the strength and direction of the linear association between one naturally dichotomous variable (coded 0/1) and one continuous variable. It is a special case of the Pearson product-moment correlation formally derived by Tate (1954) in the Annals of Mathematical Statistics and is the standard index used in psychometric item analysis, validity studies, and any research context where a binary grouping variable is related to a continuous outcome. | The Pearson product-moment correlation coefficient (r) is a parametric measure of the direction and strength of the linear association between two continuous variables. Introduced by Karl Pearson in 1895, it remains the most widely used bivariate correlation statistic in the social, health, and natural sciences. The coefficient ranges from −1 (perfect negative linear relationship) to +1 (perfect positive), with 0 indicating no linear association. |
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