Best linear unbiased prediction

Best linear unbiased prediction

In statistics, best linear unbiased prediction (BLUP) is used in linear mixed models for the prediction of random effects. Best linear unbiased predictions (BLUPs) of random effects are equivalent to best linear unbiased estimates (BLUEs) (see Gauss-Markov theorem) of fixed effects. The distinction arises because it is conventional to talk about "estimating" fixed effects but "predicting" random effects, but the two terms are otherwise equivalent. BLUP is used in animal breeding to estimate genetic merits.

Best linear unbiased predictions are the same as empirical Bayes estimates of random effects in linear mixed models.

References

*cite journal
author = Robinson, G.K.
year = 1991
title = That BLUP is a Good Thing: The Estimation of Random Effects
journal = Statistical Science
volume = 6
issue = 1
pages = 15–32
url = http://links.jstor.org/sici?sici=0883-4237(199102)6%3A1%3C15%3ATBIAGT%3E2.0.CO%3B2-%23
doi = 10.1214/ss/1177011926


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Best linear unbiased prediction — BLUP metodas statusas Aprobuotas sritis veislininkystė apibrėžtis Statistinis genetinis metodas, kai atmetus aplinkos sąlygų poveikį nustatoma tikroji gyvulio veislinė vertė. Pieniniai galvijai vertinami pagal pieno produkcijos rodiklius,… …   Lithuanian dictionary (lietuvių žodynas)

  • Comparison of general and generalized linear models — General linear model Generalized linear model Typical estimation method Least squares, best linear unbiased prediction Maximum likelihood or Bayesian Special cases ANOVA, ANCOVA, MANOVA, MANCOVA, ordinary linear regression, mixed model, t test, F …   Wikipedia

  • Least-squares estimation of linear regression coefficients — In parametric statistics, the least squares estimator is often used to estimate the coefficients of a linear regression. The least squares estimator optimizes a certain criterion (namely it minimizes the sum of the square of the residuals). In… …   Wikipedia

  • ПРОГНОЗ НАИЛУЧШИЙ ЛИНЕЙНЫЙ НЕСМЕЩЕННЫЙ — (Best linear unbiased prediction). Результат решения смешанной модели, относящийся к случайным (рандомизированным) факторам. Наилучший линейный несмещенный прогноз выполняется в случаях, когда требуется предсказать соотносительный ранг (и… …   Термины и определения, используемые в селекции, генетике и воспроизводстве сельскохозяйственных животных

  • Charles Roy Henderson — For other people named Charles Henderson, see Charles Henderson (disambiguation). Charles Roy Henderson [[File:More Henderson Biography|225px|alt=]] Born April 1, 1911 …   Wikipedia

  • Kriging — is a group of geostatistical techniques to interpolate the value of a random field (e.g., the elevation, z , of the landscape as a function of the geographic location) at an unobserved location from observations of its value at nearby locations.… …   Wikipedia

  • List of statistics topics — Please add any Wikipedia articles related to statistics that are not already on this list.The Related changes link in the margin of this page (below search) leads to a list of the most recent changes to the articles listed below. To see the most… …   Wikipedia

  • Least squares — The method of least squares is a standard approach to the approximate solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns. Least squares means that the overall solution minimizes the sum of… …   Wikipedia

  • Gauss–Markov theorem — This article is not about Gauss–Markov processes. In statistics, the Gauss–Markov theorem, named after Carl Friedrich Gauss and Andrey Markov, states that in a linear model in which the errors have expectation zero and are uncorrelated and have… …   Wikipedia

  • Animal breeding — is a branch of animal science that addresses the evaluation (primarilary using best linear unbiased prediction) of the genetic value (estimated breeding value, EBV) of domestic livestock. Selecting animals for breeding with superior EBV in growth …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”