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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

  1. 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
  2. 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
  3. 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

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ScholarGatePoint-Biserial Correlation (Point-Biserial Correlation Coefficient). Imepatikana 2026-06-15 kutoka https://scholargate.app/sw/statistics/point-biserial-correlation · Seti ya data: https://doi.org/10.5281/zenodo.20539026