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| Συσχέτιση Σημείου-Διχοτόμησης (Point-Biserial Correlation)× | Ανεξάρτητος δειγματικός t-έλεγχος× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Hypothesis test | Hypothesis test |
| Έτος προέλευσης≠ | 1954 | 1908 |
| Δημιουργός≠ | Robert F. Tate | Student (W. S. Gosset) |
| Τύπος≠ | Parametric correlation coefficient | Parametric mean comparison |
| Θεμελιώδης πηγή≠ | Tate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation. Annals of Mathematical Statistics, 25(3), 603–607. DOI ↗ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | rpb, r_pb, point biserial r, item-total correlation | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi |
| Συναφείς | 4 | 4 |
| Σύνοψη≠ | 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 independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances. |
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