Measure of Departure from Point-Symmetry for the Analysis of Collapsed Square Contingency Tables

Kiyotaka Iki; Kouji Yamamoto; Sadao Tomizawa

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Measure of Departure from Point-Symmetry for the Analysis of Collapsed Square Contingency Tables

机译：折叠方形应急表分析点对称点的偏离测量

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For square contingency tables with ordered categories, there may be some cases that one wants to analyze them by considering collapsed 3 × 3 tables with some adjacent categories combined in the original table. This paper con siders the point-symmetry model (Wall and Lienert, 1976) for collapsed tables and proposes a measure to represent the degree of departure from point-symmetry for collapsed tables. Also it gives approximate confidence interval for the proposed measure.

机译：对于具有有序类别的方形次要表表，可能有一些情况可以通过考虑将折叠的3×3表与原始表中组合的一些相邻类别进行折叠3×3表来分析它们。本文对折叠桌子进行了点对称模型（Wall和Lienert，1976），提出了代表折叠表的点对称点的偏离程度。此外，它还提供了拟议措施的近似置信区间。

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《Open Journal of Statistics》 |2021年第6期|共10页
作者
Kiyotaka Iki; Kouji Yamamoto; Sadao Tomizawa;
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Collapsed TableDiversity IndexMeasurePoint-SymmetryPower-Divergence;

机译：倒塌的桌面折射率索赔 - 对称发动机 - 发散;

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专利

1. Measure of Departure from Point-Symmetry for the Analysis of Collapsed Square Contingency Tables [J] . Kiyotaka Iki, Kouji Yamamoto, Sadao Tomizawa 统计学期刊（英文） . 2021,第006期
2. Measure of departure from symmetry for the analysis of collapsed square contingency tables with ordered categories [J] . Kouji Yamamoto, Fumika Shimada, Sadao Tomizawa Journal of applied statistics . 2015,第3a4期

机译：用于分析有序类别的折叠方形列联表的不对称性度量
3. Measure of Departure from Marginal Average Point-Symmetry for Two-Way Contingency Tables [J] . Kiyotaka Iki, Sadao Tomizawa Journal of Modern Applied Statistical Methods . 2018,第2期

机译：双向应变表的边际平均点对称的偏离衡量
4. Point-symmetry models and decomposition for collapsed square contingency tables [J] . Kouji Yamamoto, Shota Murakami, Sadao Tomizawa Journal of applied statistics . 2013,第7a8期

机译：折叠的列联表的点对称模型与分解
5. COMPARISON OF SQUARE CONTINGENCY TABLES USING MEASURE OF DEPARTURE FROM MARGINAL HOMOGENEITY [C] . KOUJI TAHATA, KOUJI YAMAMOTO, NOBUKO MIYAMOTO, International Conference of Quantum Bio-Informatics . 2010

机译：利用边际同质性偏离衡量方案应急表的比较
6. Measuring goodness-of-fit in the analysis of contingency tables with mixture-based indices: Algorithms, asymptotics and inference [D] . Xi, Liwen. 1996

机译：使用基于混合的索引测量列联表的拟合优度：算法，渐近论和推理
7. Analysis of data in square contingency tables with ordered categories using the conditional symmetry model and its decomposed models. [O] . S Tomizawa 1985

机译：使用条件对称模型及其分解模型分析有序类别的正方形列式表中的数据。
8. Measure of Departure from Collapsed Symmetry for Multi-way Contingency Tables with Ordered Categories [O] . Kouji Yamamoto, Kouji Tahata, Asuka Hatori, 2010

机译：具有订购类别的多向差价表的折叠对称性偏离衡量
9. The Information in Contingency Tables -An Application of Information-Theoretic Concepts to the Analysis of Contingency Tables. [R] . ireland, c. t. kullback, s. 1976

机译：权变表中的信息 - 信息理论概念在权变表分析中的应用。

Measure of Departure from Point-Symmetry for the Analysis of Collapsed Square Contingency Tables

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