Point-Biserial Correlation Coefficient
Fikiria kugawanya washiriki katika vikundi viwili — wale waliofaulu kipengele cha mtihani (1) na wale walioshindwa (0) — kisha kulinganisha alama zao za jumla za mtihani. Kiambatisho cha nukta-mbili huonyesha jinsi uanachama katika vikundi viwili unavyofuatilia alama inayoendelea. r_pb ya juu chanya inamaanisha kuwa kundi lililoandikwa 1 mara kwa mara hupata alama za juu zaidi kwenye kigezo kinachoendelea; thamani iliyo karibu na sifuri inamaanisha kuwa mgawanyiko haubebi habari yoyote ya mstari kuhusu matokeo yanayoendelea. Kwa sababu kigezo cha binary ni dhana maalum tu ya kigezo chochote cha nambari, fomula inapungua hadi Pearson r ya kawaida inayotumika kwa nambari za 0/1, ndiyo sababu inafaa kwa urahisi katika mashine sanifu za kurudi nyuma na uhusiano.
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Vyanzo
- Tate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation. Annals of Mathematical Statistics, 25(3), 603–607. DOI: 10.1214/aoms/1177728730 ↗
- Tate, R. F. (1955). The theory of correlation between two continuous variables when one is dichotomized. Biometrika, 42(1–2), 205–216. DOI: 10.1093/biomet/42.1-2.205 ↗
- Nunnally, J. C., & Bernstein, I. H. (1994). Psychometric Theory (3rd ed.). McGraw-Hill. ISBN: 978-0070478497
Jinsi ya kunukuu ukurasa huu
ScholarGate. (2026, June 3). Point-Biserial Correlation Coefficient. ScholarGate. https://scholargate.app/sw/statistics/point-biserial-correlation
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
- T-test kwa Sampuli HuruTakwimu↔ compare
- Nadharia ya Itikio la Kipengee (IRT)Saikometriki↔ compare
- Uhusiano wa Pearson wa Bidhaa-MudaTakwimu↔ compare
- Kielelezo cha mgawo wa uhusiano wa cheo cha SpearmanTakwimu↔ compare
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