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| Robustný Chí-kvadrát test× | Test nezávislosti chí-kvadrát× | |
|---|---|---|
| Odbor | Štatistika | Štatistika |
| Rodina | Hypothesis test | Hypothesis test |
| Rok vzniku≠ | 1984 (power divergence); 1900 (Pearson baseline) | 1900 |
| Tvorca≠ | Cressie & Read (power divergence framework); Pearson chi-square extended by multiple authors | Karl Pearson |
| Typ≠ | Robust categorical association / goodness-of-fit test | Nonparametric test of association |
| Pôvodný zdroj≠ | Cressie, N., & Read, T. R. C. (1984). Multinomial goodness-of-fit tests. Journal of the Royal Statistical Society: Series B, 46(3), 440–464. 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 ↗ |
| Ďalšie názvy | robust chi-squared test, Cressie-Read power divergence test, adjusted chi-square test, robust contingency test | chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi |
| Príbuzné≠ | 3 | 2 |
| Zhrnutie≠ | The robust chi-square test extends the classic Pearson chi-square framework to remain reliable when standard assumptions — especially the minimum expected-cell-count rule — are violated. Using power divergence statistics (Cressie & Read, 1984) or resampling-based corrections, it produces valid inferences for sparse contingency tables, small samples, and unbalanced categorical data where the ordinary chi-square approximation breaks down. | 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. |
| ScholarGateDátová sada ↗ |
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