adrc.reml: AD model with row and column effects analyzed by REML...
In qgtools: Generalized Quantitative Genetics Data Analyses

Description Usage Arguments Details Value Author(s) References Examples

An AD model with row and column effects included is used for controlling field variation. This model is analyzed by the REML approach. The data set can be irregular or missing but the field layout should be rectangular. It can analyze any genetic mating designs and data including F1, F2, or F3 with parents..

1	adrc.reml(Y, Ped, Row = NULL, Col = NULL)

`Y`	A data matrix for one or more traits
`Ped`	A pedigree matrix including Environment, Female, Male, Generation is required.
`Row`	A vector for field rows. It can be default.
`Col`	A vector for field colums.It can be default.

If only row or column vector is included, this is equivallent to an AD model with block effects.

Return a list of results: estimated variance components, estimated fixed effects, and predicted random effects

Jixiang Wu <qgtools@gmail.com>

Rao, C.R. 1971. Estimation of variance and covariance components-MINQUE theory. J Multiva Ana 1:19

Wu, J., McCarty Jr., J.C., Jenkins, J.N. 2010. Cotton chromosome substitution lines crossed with cultivars: Genetic model evaluation and seed trait analyses. Theoretical and Applied Genetics 120:1473-1483.

Wu, J., J. N. Jenkins, J. C. McCarty, K. Glover, and W. Berzonsky. 2010. Presentation titled by "Unbalanced Genetic Data Analysis: model evaluation and application" was offered at ASA, CSSA, & SSSA 2010 International Annual Meetings, Long Beach, CA.

Wu, J., J. N. Jenkins, and J.C., McCarty. 2011. A generalized approach and computer tool for quantitative genetics study. Proceedings Applied Statistics in Agriculture, April 25-27, 2010, Manhattan, KS. p.85-106.

Wu, J. 2012. GenMod: An R package for various agricultural data analyses. ASA, CSSA, and SSSA 2012 International Annual Meetings, Cincinnati, OH, p 127

Wu J., Bondalapati K., Glover K., Berzonsky W., Jenkins J.N., McCarty J.C. 2013. Genetic analysis without replications: model evaluation and application in spring wheat. Euphytica. 190:447-458

Zhu J. 1989. Estimation of Genetic Variance Components in the General Mixed Model. Ph.D. Dissertation, NC State University, Raleigh, U.S.A

  library(qgtools)
  data(adrcdat)
  dat=adrcdat[which(adrcdat$Env==1),]
  Ped=dat[,c(1,4,5,6)]
  Y=dat[,c(8:10)]
  Row=dat$Row
  Col=dat$Column

  ##run AD model without jackknifing under row and column effects
  
  res=adrc.reml(Y,Ped,Row=Row,Col=Col) 
  res$Var
  res$FixedEffect
  res$RandomEffect