Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic

Daniel B. McArtor; Gitta H. Lubke; C. S. Bergeman

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Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic

机译：用效果大小测量扩展多变量距离矩阵回归和测试统计的渐近空分布

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AbstractPerson-centered methods are useful for studying individual differences in terms of (dis)similarities between response profiles on multivariate outcomes. Multivariate distance matrix regression (MDMR) tests the significance of associations of response profile (dis)similarities and a set of predictors using permutation tests. This paper extends MDMR by deriving and empirically validating the asymptotic null distribution of its test statistic, and by proposing an effect size for individual outcome variables, which is shown to recover true associations. These extensions alleviate the computational burden of permutation tests currently used in MDMR and render more informative results, thus making MDMR accessible to new research domains.]]>

机译：Abstract以人为中心的方法有助于研究多变量结果中反应谱（dis）相似性方面的个体差异。多变量距离矩阵回归（MDMR）测试反应谱（dis）关联的显著性相似性和一组使用排列测试的预测值。本文通过推导和实证验证MDMR检验统计量的渐近零分布，并提出个体结果变量的效应大小，从而扩展了MDMR，该效应大小被证明可以恢复真实的关联。这些扩展减轻了目前在MDMR中使用的置换测试的计算负担，并提供了更多信息，从而使MDMR可用于新的研究领域]>

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《Psychometrika》 |2017年第4期|共26页
作者
Daniel B. McArtor; Gitta H. Lubke; C. S. Bergeman;
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作者单位

University of Notre Dame;

University of Notre Dame;

University of Notre Dame;

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原文格式 PDF
正文语种 eng
中图分类心理测验;
关键词
effect size; distances; MDMR; MDS; multivariate outcome; null distribution; person-centered; permutation;

机译：效果尺寸;距离;MDMR;MDS;多变量结果;零分布;以人为本;排列;

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1. ASYMPTOTIC DISTRIBUTION OF LIKELIHOOD RATIO STATISTIC FOR TESTING SPHERICTY IN GROWTH CURVE MODELS [J] . 龚力强数学物理学报：B辑英文版 . 1998,第004期
2. RELATIVE ASYMPTOTICS FOR ORTHOGONAL MATRIX POLYNOMIALS WITH RESPECT TO A PERTURBED MATRIX MEASURE ON THE UNIT CIRCLE [J] . Hossain O. Yakhlef, Francisco Marcellán 分析、理论与应用（英文版） . 2002,第004期
3. LIMITING BEHAVIOR OF RECURSIVE M-ESTIMATORS IN MULTIVARIATE LINEAR REGRESSION MODELS AND THEIR ASYMPTOTIC EFFICIENCIES [J] . Miao Baiqi, Wu Yuehua, Liu Donghai 数学物理学报（英文版） . 2010,第001期
4. Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic [J] . Daniel B. McArtor, Gitta H. Lubke, C. S. Bergeman Psychometrika . 2017,第4期

机译：用效果大小测量扩展多变量距离矩阵回归和测试统计的渐近空分布
5. Asymptotic null and non-null distributions of test statistics for redundancy in high-dimensional canonical correlation analysis [J] . Oda Ryoya, Yanagihara Hirokazu, Fujikoshi Yasunori Random Matrices: Theory and Application . 2019,第1期

机译：高维规范相关分析中冗余的渐近空和非空分布
6. Asymptotic Expansion of the Null Distribution of LR Statistic for Multivariate Linear Hypothesis When the Dimension Is Large [J] . Tetsuji Tonda, Yasunori Fujikoshi Communications in Statistics. A, Theory and Methods . 2004,第5期

机译：当维度大时，多变量线性假设的LR统计空分布的渐近扩展
7. Asymptotic nonnull distribution of LRC for testingμ1 = A =μq =μ0 ∑1 = A = ∑q = σ2I in multivariate normal distributions. [C] . The Eight China-Japan Symposium on Statistics . 2004

机译：在多元正态分布中，用于测试的LRC的渐近非零分布μ1= A =μq=μ0∑1 = A = ∑q =σ2I。
8. The impact of nonnormality on the asymptotic confidence interval for an effect size measure in multiple regression. [D] . Cooper, Lou Ann Mazula. 2007

机译：在多元回归中，非正态性对效应量度的渐近置信区间的影响。
9. EXTENDING MULTIVARIATE DISTANCE MATRIX REGRESSION WITH AN EFFECT SIZE MEASURE AND THE ASYMPTOTIC NULL DISTRIBUTION OF THE TEST STATISTIC [O] . Daniel B. McArtor, Gitta H. Lubke, C. S. Bergeman -1

机译：具有效应尺寸度量和检验统计量的渐近零分布的扩展多元距离矩阵回归
10. Asymptotic expansions of the null distributions of test statistics for multivariate linear hypothesis under nonnormality [O] . Hirofumi Wakaki, Hirokazu Yanagihara, Yasunori Fujikoshi 2002

机译：非全体性多变量线性假设的测试统计空分布的渐近扩展
11. Asymptotic Null and Nonnull Distributions of Three Multivariate Test Statistics in GMANOVA [R] . Luus, H. G., Dewaal, D. J. 1982

机译：GmaNOVa中三个多元检验统计量的渐近空和非空分布

Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic

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