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Hypothesis testClassical statistics

Bayesian Chi-Square Test of Independence

Fikiria kuwa umeona hesabu katika seli za meza — sema ni wanaume na wanawake wangapi wanapendelea chai, kahawa, au juisi. Kipimo cha kawaida cha chi-kwadrat huuliza ikiwa matokeo yanaweza kukataliwa dhana ya sifuri. Toleo la Bayesian huuliza: kwa kuzingatia hesabu hizi, ni mara ngapi data ni uwezekano zaidi chini ya modeli yenye uhusiano halisi ikilinganishwa na ile ambapo vigezo havihusiani? Kipengele cha Bayes zaidi ya 1 kinapendelea uhusiano; chini ya 1 kinapendelea uhuru. Muhimu, p-value isiyo muhimu haiwezi kukuambia kuwa dhana ya sifuri ni kweli, lakini kipengele kidogo cha Bayes kinaweza kutoa ushahidi chanya kwa uhuru.

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Vyanzo

  1. Good, I. J. (1967). A Bayesian significance test for multinomial distributions. Journal of the Royal Statistical Society: Series B (Methodological), 29(3), 399–418. DOI: 10.1111/j.2517-6161.1967.tb00705.x
  2. Jamil, T., Ly, A., Morey, R. D., Love, J., Marsman, M., & Wagenmakers, E.-J. (2017). Default 'Gunel and Dickey' Bayes factors for contingency tables. Behavior Research Methods, 49(2), 638–652. DOI: 10.3758/s13428-016-0739-8

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 3). Bayesian Chi-Square Test of Independence. ScholarGate. https://scholargate.app/sw/statistics/bayesian-chi-square-test

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ScholarGateBayesian chi-square test (Bayesian Chi-Square Test of Independence). Imepatikana 2026-06-15 kutoka https://scholargate.app/sw/statistics/bayesian-chi-square-test · Seti ya data: https://doi.org/10.5281/zenodo.20539026