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| Bayesin Fisherin eksakti testi× | Khii toiseen tunnusluvun riippumattomuustesti× | |
|---|---|---|
| Tieteenala | Tilastotiede | Tilastotiede |
| Menetelmäperhe | Hypothesis test | Hypothesis test |
| Syntyvuosi≠ | 1974 (Bayesian form); 1935 (Fisher's exact test) | 1900 |
| Kehittäjä≠ | Gunel & Dickey (Bayesian form); R. A. Fisher (classical exact test) | Karl Pearson |
| Tyyppi≠ | Bayesian hypothesis test for independence | Nonparametric test of association |
| Alkuperäislähde≠ | Gunel, E., & Dickey, J. (1974). Bayes factors for independence in contingency tables. Biometrika, 61(3), 545–557. DOI ↗ | Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 50(302), 157–175. DOI ↗ |
| Rinnakkaisnimet | Bayesian exact test for independence, Bayesian contingency table test, Bayes factor Fisher test, BFexact | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi |
| Liittyvät≠ | 4 | 2 |
| Tiivistelmä≠ | The Bayesian Fisher's exact test evaluates independence between two categorical variables in a 2x2 table by computing a Bayes factor rather than a p-value. Using conjugate priors on cell probabilities — most commonly the Gunel-Dickey framework — it quantifies how much the observed data favor an association model over an independence model, providing a continuous scale of evidence in both directions. | The chi-square test of independence is a nonparametric hypothesis test that examines whether two categorical variables are associated by comparing observed and expected frequencies in a cross-tabulation. It rests on the chi-square criterion introduced by Karl Pearson in 1900. |
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