Resampling-Based Analysis of Multivariate Data and Repeated Measures Designs with the R Package MANOVA.RM

被引:3
作者
Friedrich, Sarah [1 ]
Konietschke, Frank [2 ,3 ,4 ,5 ]
Pauly, Markus [6 ]
机构
[1] Univ Med Ctr Gottingen, Dept Med Stat, Humboldtallee 32, D-37073 Gottingen, Germany
[2] Charite Univ Med Berlin, Charite Pl 1, D-10117 Berlin, Germany
[3] Free Univ Berlin, Charite Pl 1, D-10117 Berlin, Germany
[4] Humboldt Univ, Charite Pl 1, D-10117 Berlin, Germany
[5] Berlin Inst Hlth, Inst Biometry & Clin Epidemiol, Charite Pl 1, D-10117 Berlin, Germany
[6] Tech Univ Dortmund, Fak Stat, D-44221 Dortmund, Germany
关键词
I ERROR RATES; COVARIANCE HETEROGENEITY; LONGITUDINAL DATA; INFERENCE; FREEDOM; POWER;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Nonparametric statistical inference methods for a modern and robust analysis of longitudinal and multivariate data in factorial experiments are essential for research. While existing approaches that rely on specific distributional assumptions of the data (multivariate normality and/or equal covariance matrices) are implemented in statistical software packages, there is a need for user-friendly software that can be used for the analysis of data that do not fulfill the aforementioned assumptions and provide accurate p value and confidence interval estimates. Therefore, newly developed nonparametric statistical methods based on bootstrap- and permutation-approaches, which neither assume multivariate normality nor specific covariance matrices, have been implemented in the freely available R package MANOVA.RM. The package is equipped with a graphical user interface for plausible applications in academia and other educational purpose. Several motivating examples illustrate the application of the methods.
引用
收藏
页码:380 / 400
页数:21
相关论文
共 40 条
[1]  
Anderson MJ, 2001, AUSTRAL ECOL, V26, P32, DOI 10.1111/j.1442-9993.2001.01070.pp.x
[2]  
[Anonymous], 2002, Statistical methods for the analysis of repeated measurements
[3]  
[Anonymous], 2002, Nonparametric Analysis of Longitudinal Data in Factorial Experiments
[4]  
[Anonymous], 2007, APPL MULTIVARIATE ST
[5]  
Astakhov VP, 2016, DE GRU SER ADV MECH, V1, P1
[6]   Testing Mean Differences among Groups: Multivariate and Repeated Measures Analysis with Minimal Assumptions [J].
Bathke, Arne C. ;
Friedrich, Sarah ;
Pauly, Markus ;
Konietschke, Frank ;
Staffen, Wolfgang ;
Strobl, Nicolas ;
Hoeller, Yvonne .
MULTIVARIATE BEHAVIORAL RESEARCH, 2018, 53 (03) :348-359
[7]   Box-type approximations in nonparametric factorial designs [J].
Brunner, E ;
Dette, H ;
Munk, A .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1997, 92 (440) :1494-1502
[8]  
BRUNNER E, 2001, MATH STAT APPL BIOME
[9]   A comparison of Type I error rates and power levels for seven solutions to the multivariate Behrens-Fisher problem [J].
Christensen, WF ;
Rencher, AC .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1997, 26 (04) :1251-1273
[10]   EXACT AND ASYMPTOTICALLY ROBUST PERMUTATION TESTS [J].
Chung, EunYi ;
Romano, Joseph P. .
ANNALS OF STATISTICS, 2013, 41 (02) :484-507