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| Exakt binomialtest× | Chi-två-test för oberoende× | |
|---|---|---|
| Ämnesområde | Statistik | Statistik |
| Familj≠ | Regression model | Hypothesis test |
| Ursprungsår≠ | 1988 | 1900 |
| Upphovsperson≠ | Classical exact test; textbook treatment by Siegel & Castellan | Karl Pearson |
| Typ≠ | Exact one-sample test for a proportion | Nonparametric test of association |
| Ursprungskälla≠ | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 | 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 ↗ |
| Alias | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi |
| Närliggande | 2 | 2 |
| Sammanfattning≠ | The exact binomial test checks whether the observed number of successes in a fixed number of independent trials is consistent with a pre-specified success probability p₀. Because it computes exact binomial tail probabilities rather than relying on a normal approximation, it is the gold standard for testing a proportion in small samples; this two-sided formulation follows Siegel & Castellan's classic treatment (1988). | 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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