Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Robustní frekvenční analýza× | Robustní Chí-kvadrát test× | |
|---|---|---|
| Obor | Statistika | Statistika |
| Rodina | Hypothesis test | Hypothesis test |
| Rok vzniku≠ | 1970s–1980s (foundations); applied to frequency analysis throughout the 1990s–2000s | 1984 (power divergence); 1900 (Pearson baseline) |
| Tvůrce≠ | Huber, Hampel, Wilcox and the robust statistics tradition | Cressie & Read (power divergence framework); Pearson chi-square extended by multiple authors |
| Typ≠ | Robust descriptive and inferential procedure | Robust categorical association / goodness-of-fit test |
| Původní zdroj≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | 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 ↗ |
| Další názvy≠ | robust count analysis, outlier-resistant frequency analysis, robust distributional analysis | robust chi-squared test, Cressie-Read power divergence test, adjusted chi-square test, robust contingency test |
| Příbuzné | 3 | 3 |
| Shrnutí≠ | Robust frequency analysis applies outlier-resistant estimation and resampling or exact methods to the counting and tabulation of categorical data, reducing the distortion caused by extreme observations, sparse cells, or violations of large-sample assumptions that can make conventional frequency summaries misleading. | 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. |
| ScholarGateDatová sada ↗ |
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