Combinatorics in Pearson residuals

Shusaku Tsumoto; Shoji Hirano

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Combinatorics in Pearson residuals

机译：皮尔逊残差中的组合

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This paper focuses on residual analysis of statistical independence of multiple variables from the viewpoint of linear algebra and combinatorics. The results show that multidimensional residuals are represented as linear sum of determinants of 2 × 2 submatrices, which can be viewed as information granules measuring the degree of statistical dependence. Furthermore, all the elements of information granules have combinatorial characteristics of index sets.

机译：本文从线性代数和组合论的角度，着重于对多元统计独立性的残差分析。结果表明，多维残差表示为2×2子矩阵行列式的线性总和，可以看作度量统计依赖程度的信息颗粒。此外，信息颗粒的所有元素都具有索引集的组合特征。

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《International journal of knowledge engineering and soft data paradigms》 |2013年第1期|72-84|共13页
作者
Shusaku Tsumoto; Shoji Hirano;
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作者单位

Department of Medical Informatics,Faculty of Medicine,Shimane University,89-1 Enya-cho Izumo 693-8501, Japan;

Department of Medical Informatics,Faculty of Medicine,Shimane University,89-1 Enya-cho Izumo 693-8501, Japan;

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正文语种 eng
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关键词
granular computing; information granule; contingency matrix theory; statistical independence; Pearson residual; combinatorics;

机译：粒度计算;信息颗粒;权变矩阵理论统计独立性;皮尔逊残差;组合学;

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7. Figure 6: Confirmatory plot analysis of the fit of the proposed GLARMA model for the response variable in the data set of the illustrative study: (A) Observed time series related to fixed effect of GLM estimation or GLARMA estimation; (B) Pearson Residuals; (C) Histogram of Uniform PIT; (D) Histogram of Randomized Residuals normalized, (E) QQ Plots for randomized residuals of a fitted GLARMA ; and (F) Plot of the ACF of the residuals (source: authors). [O] . -1

机译：图6：在说明性研究数据集中响应变量的响应变量的建议变量的确认图分析：（a）观察到与GLM估计或GLARMA估计有关的时间序列; （b）Pearson剩余; （c）均匀坑的直方图; （d）随机残留的直方图标准化，（e）QQ图，用于拟合格拉玛的随机残留物; （f）残差的ACF（资料来源：作者）。

Combinatorics in Pearson residuals

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