A mixed modelling approach for randomized experiments with repeated measures

被引:155
作者
Piepho, HP [1 ]
Büchse, A [1 ]
Richter, C [1 ]
机构
[1] Univ Hohenheim, Inst Pflanzenbau & Grunland, D-70599 Stuttgart, Germany
关键词
autocorrelation; longitudinal data; mixed model; repeated measurements; serial correlation; spatial statistics;
D O I
10.1111/j.1439-037X.2004.00097.x
中图分类号
S3 [农学(农艺学)];
学科分类号
0901 ;
摘要
Repeated measurements on the same experimental unit are common in plant research. Due to lack of randomization and the serial ordering of observations on the same unit, such data give rise to correlations, which need to be accounted for in statistical analysis. Mixed modelling provides a flexible framework for this task. The present paper proposes a general method to formulate mixed models for designed experiments with repeated measurements. The approach is exemplified by way of several examples.
引用
收藏
页码:230 / 247
页数:18
相关论文
共 34 条
[1]  
[Anonymous], MULTIVARIATE ANAL 2
[2]  
[Anonymous], 1996, PRACTICAL LONGITUDIN
[3]  
[Anonymous], 1996, Journal of Agricultural Biological and Environmental Statistics
[4]   Effect of crop rotation and fertilisation on maize and wheat yields and yield stability in a long-term experiment [J].
Berzsenyi, Z ;
Györffy, B ;
Lap, D .
EUROPEAN JOURNAL OF AGRONOMY, 2000, 13 (2-3) :225-244
[5]   ANALYSIS OF VARIANCE TABLES BASED ON EXPERIMENTAL STRUCTURE [J].
BRIEN, CJ .
BIOMETRICS, 1983, 39 (01) :53-59
[6]  
Burnham K. P., 1998, MODEL SELECTION INFE
[7]   APPLICATIONS OF MULTIVARIATE ANALYSIS OF VARIANCE TO REPEATED MEASUREMENTS EXPERIMENTS [J].
COLE, JWL ;
GRIZZLE, JE .
BIOMETRICS, 1966, 22 (04) :810-&
[8]  
Davidian M., 1995, NONLINEAR MODELS REP
[9]   AN EXTENSION OF BOXS RESULTS ON THE USE OF THE F DISTRIBUTION IN MULTIVARIATE-ANALYSIS [J].
GEISSER, S ;
GREENHOUSE, SW .
ANNALS OF MATHEMATICAL STATISTICS, 1958, 29 (03) :885-891
[10]  
Gilmour A. R., 1997, Journal of Agricultural, Biological, and Environmental Statistics, V2, P269, DOI 10.2307/1400446