# Prediction Error Variances

## Contents |

doi: **10.2307/2529339. [Cross** Ref]Thompson R. Technical questions like the one you've just found usually get answered within 48 hours on ResearchGate. All authors read and approved the final manuscript.AcknowledgementsThe authors acknowledge the Irish Cattle Breeding Federation for providing funding and data. Application of an algorithm controlling the variance of response to selection [24] to large data sets can be speeded up. weblink

Approximations of the PEV using these formulations converge to the exact PEV (PEVexact) as the number of Monte Carlo samples increases, but the number of samples is generally limited by computational Loading Processing your request... × Close Overlay For full functionality of ResearchGate it is necessary to enable JavaScript. A sampling method for estimating the accuracy of predicted breeding values in genetic evaluation. Assoc., 72 (1977), pp. 834–840 [4] M. weblink

## Prediction Error Variance Definition

Methods that approximate the prediction error variances (PEV) and calculate the accuracy of u^ provide biased estimates in some circumstances by ignoring certain information [e.g. [6]]. Think you should have access to this item via your institution? This part: $\text{Var}(\hat u_i) = \text{Var}(u_i)+\text{Var}(\hat \beta_0)+x_i^2\text{Var}(\hat \beta_1)+2x_i\text{Cov}(\hat \beta_0,\hat \beta_1)$ isn't right. –Glen_b♦ Sep 11 '14 at 0:42 @Glen_b Done. Guelph, Ontario, Canada, University of Guelph; 1984.

In the first iterations the asymptotic sampling variances were calculated using the PEVGC1 and PEVGC2 of the component formulations, in the second they used the PEVGC3 approximated in the first iteration.Calculation Forgotten **username or password? **The Moran I is a "statistic" and is not an empirical form (or estimator) of a theoretical model/function. Prediction Error Formula Got a question you need answered quickly?

How to add non-latin entries in hosts file How to create a table of signs Connections between Complexity Theory & Set Theory Words that are anagrams of themselves Longest "De Bruijn We have an $x^0$ that is far away from the sample mean as calculated from the other observations -too bad, our prediction error variance gets another boost, because the predicted $\hat MC and HM took part in useful discussions and advised on the simulations. http://www.journalofdairyscience.org/article/S0022-0302(87)80190-X/abstract Has the acronym DNA ever been widely understood to stand for deoxyribose nucleic acid?

Bootstrap methods: another look at the jackknife. because by estimating, we "close our eyes" to some error-variability existing in the sample,since we essentially estimating an expected value. The Estimation of the Prediction Error Variance E. Transformation algorithms in analysis of single trait and of multitrait models with equal design matrices and one random factor per trait: a review.

- For example, PEVGC2 converged at a slower rate than all other formulations when the convergence rate was measured by the correlation between PEVexact and sampled PEV (Fig. (Fig.1).1).
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- doi: 10.1111/j.1439-0388.2003.00444.x. [Cross Ref]Jensen J, Mao IL.

## Prediction Variance Linear Regression

Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization. https://en.wikipedia.org/wiki/Mean_squared_prediction_error PEVGC1 and its corresponding alternative formulation PEVAF1 make use of information on the Var(u^). Prediction Error Variance Definition Two new formulations of the sampled PEV (PEVNF1, and PEVNF2) are also given in Table Table1.1. Prediction Error Definition Buy article ($14.00) Have access through a MyJSTOR account?

Accounting for the effects of sampling on the Var(u) reduced the sampling variance in regions where the previously published formulations had high sampling variances but had little (or even slightly negative) have a peek at these guys Here are the instructions how to enable JavaScript in your web browser. Word for making you life circumstance seems much worse than it is du -h doesn't show dev/sda Why does a full moon seem uniformly bright from earth, shouldn't it be dimmer All rights reserved.About us · Contact us · Careers · Developers · News · Help Center · Privacy · Terms · Copyright | Advertising · Recruiting We use cookies to give you the best possible experience on ResearchGate. Variance Of Predicted Value

Four of these formulations were published, four were corresponding alternative versions, and two were derived as part of this study. The sampled PEV calculated using different formulations had different sampling variances and within each formulation the sampling variances differed depending on the level of the PEVexact (Fig. (Fig.2).2). doi: 10.1093/biomet/58.3.545. [Cross Ref]Meuwissen THE, Woolliams JA. check over here Absorbed: Journals that are combined with another title.

When I have used this type of analysis, I have typically tested the residuals for spatial autocorrelation using Moran's I prior to proceeding with kriging. JavaScript is disabled on your browser. One solution is to use the model implemented in geoR but that is based on an assumption of multivariate normality, univariate transformations do not ensure multivariate normality.

## PEVGC2 gave good approximations for low PEVexact and poor approximations for high PEVexact.

Applications of Linear Models in Animal Breeding. Continuing, $$...=-2E(\bar yu_i) -2(x_i-\bar x)E\left(\hat \beta_1u_i\right) = -2\frac {\sigma^2}{n} -2(x_i-\bar x)E\left[\frac {\sum(x_i-\bar x)(y_i-\bar y)}{S_{xx}}u_i\right]$$ $$=-2\frac {\sigma^2}{n} -2\frac {(x_i-\bar x)}{S_{xx}}\left[ \sum(x_i-\bar x)E(y_iu_i-\bar yu_i)\right]$$ $$=-2\frac {\sigma^2}{n} -2\frac {(x_i-\bar x)}{S_{xx}}\left[ -\frac {\sigma^2}{n}\sum_{j\neq i}(x_j-\bar x) For the purpose of categorizing the results PEV with values between 0.00 and 0.33 were regarded as low, values between 0.34 and 0.66 were regarded as medium, and values between 0.67 Amer.

The results of Henderson [22] show how the REML formulations can be equivalently written as in terms of Mendelian sampling effects m m'A-1m and trace [Am-1PEVm], where PEVm is the prediction Of the previously published formulations PEVGC1 and PEVFL had low sampling variance at high PEVexact, with PEVGC1 being better than PEVFL. Maximizing genetic response in breeding schemes of dairy cattle with constraints on variance of response. this content PEVGC2 had low sampling variance at low PEVexact.

Page Thumbnails 834 835 836 837 838 839 840 Journal of the American Statistical Association © 1977 American Statistical Association Request Permissions JSTOR Home About Search Browse Terms and Conditions Privacy We do not try to replicate the dependent variable's variability -we just try to stay "close to the average". other wise it estimates the variogram PLUS a quadratic term. Davis, R.H.

Why? Estimation of accuracy and bias in genetic evaluations with genetic groups using sampling. doi: 10.1186/1297-9686-41-23PMCID: PMC3225835Estimation of prediction error variances via Monte Carlo sampling methods using different formulations of the prediction error varianceJohn M Hickey,1,2,3 Roel F Veerkamp,1 Mario PL Calus,1 Han A Mulder,1 PEVGC3, PEVAF3, PEVAF4, and PEVNF2 were the best formulations across all of the ten formulations.

Login Compare your access options × Close Overlay Why register for MyJSTOR? Bias and confidence in not quite large samples. The latter half of the article consists of a number of simulations, based on both generated and real data, which illustrate the results obtained. The fewer samples that are required the less the computational time will be.Competing interestsThe authors declare that they have no competing interests.Authors' contributionsRT derived most of the mathematical equations.

Rescaling from the scale of Var(u) to the scale of σg2 improved the approximation of the PEV and four of the 10 formulations gave the best approximations of PEVexact thereby improving It is an inverse measure of the explanatory power of g ^ , {\displaystyle {\widehat {g}},} and can be used in the process of cross-validation of an estimated model. May 7, 2015 Can you help by adding an answer?