التفاصيل البيبلوغرافية
| العنوان: |
Exact Moments of Residuals of Independence. |
| المؤلفون: |
Qu, Xianggui |
| المصدر: |
Mathematics (2227-7390); Dec2024, Vol. 12 Issue 24, p3987-3987, 13p |
| مصطلحات موضوعية: |
CONTINGENCY tables, INFERENTIAL statistics, LOG-linear models, KURTOSIS, CRITICAL analysis |
| مستخلص: |
The diagnosis of residuals of independence is critical in association analysis and loglinear modeling of two-way contingency tables. Most residual diagnostics depend on large-sample methods, and diagnostic results become dubious when sample sizes are small or data are sparse. In such cases, statistical inference based on non-asymptotic theory or exact inference is desirable. This paper explicitly derives the first four moments of the residuals of independence in a two-way contingency table under a multinomial model. These exact moments are necessary tools for studying the analytical features of the distribution of residuals of independence, such as skewness and kurtosis. Higher-order moments can be found similarly, but the results are more complicated. [ABSTRACT FROM AUTHOR] |
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