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1Die Robustheit Von BLUP Und EBLUP

G. Herrendörfer,A. Tuchscherer,G. Dietl,M. Tuchscherer

Abstract. Title of the paper: The Robustness of BLUP and EBLUP The expectations of BLP and BLUP used as estimator for fixed effects and as predictor for random effects were investigated concerning the property "unbiasedness". Different aspects of robustness research on prediction procedures are discussed. The robustness of BLUP and EBLUP was investigated with respect to the distribution ofthe random components of the model, the degree of balancedness of the experimental design, influence of the variance components ratio and different variance component estimators used in EBLUP(2) on the bases of a Computer Simulation in the random one-way model. Criteria used for the evaluation were the mean squared error (MSE) and the selection gain. Besides, an idea of the overestimation of the accuracy of EBLUP by the naive MSE approximation based on the MSE formulas of BLUP with variance component estimations instead of unknown parameters is given.

1999Archives Animal Breeding（1999）引用：2

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2The Robustness Of Blup And Eblup

G Herrendorfer,A Tuchscherer,G Dietl,M Tuchscherer

The expectations of BLP and BLUP used as estimator for fixed effects and as predictor for random effects were investigated concerning the property 'unbiasedness'. Different aspects of robustness research on prediction procedures are discussed. The robustness of BLUP and EBLUP was investigated with respect to the distribution of the random components of the model, the degree of balancedness of the experimental design, influence of the variance components ratio and different variance component estimators used in EBLUP(2) on the bases of a computer simulation in the random one-way model. Criteria used for the evaluation were the mean squared error (MSE) and the selection gain. Besides, an idea of the overestimation of the accuracy of EBLUP by the naive MSE approximation based on the MSE formulas of BLUP with variance component estimations instead of unknown parameters is given.

1999ARCHIV FUR TIERZUCHT-ARCHIVES OF ANIMAL BREEDING（1999）

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3Evaluation of the Best Linear Unbiased Prediction in Mixed Linear Models with Estimated Variance Components by Means of the Mse of Prediction and the Genetic Selection Differential

A Tuchscherer,G Herrendorfer,M Tuchscherer

Prediction in mixed linear models by HENDERSON's (1972) BLUP (Best Linear Unbiased Prediction) requires knowledge of the underlying variance/covariance components to have the property 'best'. In breeding value prediction these parameters are not known, generally. They have to be replaced by estimations and BLUP becomes estimated BLUP (EBLUP).The aim of this investigation was the evaluation of EBLUP with help of a designed simulation experiment. Criteria used for the evaluation were the mean squared error (MSE) and the (genetic) selection differential (GSD).Besides, an idea of the overestimation of the accuracy of EBLUP by the naive MSE approximation based on the MSE formulas of BLUP with variance component estimations instead of unknown parameters is given.

1998BIOMETRICAL JOURNAL（1998）引用：2

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4Biometrical Design Of Experiments And The Efficiency Of Animal Research

G Herrendorfer

The efficiency of research depends on design and analysis of experiments. Different aspects of this dependence are presented. The use of results of decision theory is demonstrated. Problems of using results of decision theory are discussed, Experiments with scientific goals and experiments with great economic effects should be designed different. The use of existing information on data banks (data collections) for model choice and design of experiments is illustrated.

1996ARCHIV FUR TIERZUCHT-ARCHIVES OF ANIMAL BREEDING

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5First Results of Simulation of Long Term Selection Experiments with Gene Models with One or Two Genes

PE Rudolph,G Herrendorfer, K Schlettwein

Long term selection experiments are simulated with gene models including one and two genes. Especially the question is of interest after how many generations in a simulated selection process homozygosity is reached.The simulations show that if there is dominance quite a large number of generations is required for reaching homozygosity.

1996ARCHIV FUR TIERZUCHT-ARCHIVES OF ANIMAL BREEDING（1996）

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6Characterization Of Growth Of Beef Cattle Breeds With Growth Functions

Hd Matthes,Pe Rudolph,G Herrendorfer

For describing the growth of several beef cattle breeds in the first instance a qualified set of growth functions is determinated. The results of parameter and residual variance estimations for these growth functions and the existing data sets allow together with some previous knowledge the choice of a growth function which is also optimal with respect to a developed optimum criterion.

1996ARCHIV FUR TIERZUCHT-ARCHIVES OF ANIMAL BREEDING（1996）引用：1

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7Everitt, B. S.: the Analysis of Contingency Tables (monographs on Statistics and Applied Probability 45) 2nd Ed. Chapman & Hall, London ‐ New York ‐ Tokyo ‐ Melbourne ‐ Madras 1992; 164 Pp., DM 75,—

G. Herrendörfer

Biometrical JournalVolume 37, Issue 1 p. 104-104 Book Review Everitt, B. S.: The Analysis of Contingency Tables (Monographs on Statistics and Applied Probability 45) 2nd ed. Chapman & Hall, London - New York - Tokyo - Melbourne - Madras 1992; 164 pp., DM 75,— G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1995 https://doi.org/10.1002/bimj.4710370110AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume37, Issue11995Pages 104-104 RelatedInformation

1995Biometrical Journal（1995）

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8Optimal Experimental Design and Accuracy of Parameter Estimation for Nonlinear Regression Models Used in Long‐term Selection

PE RUDOLPH,G HERRENDORFER

An experimental design problem is considered for the analysis of long-term selection experiments with nonlinear regression models. For a 3-parametric exponential regression function whose parameters have also a reasonable biological interpretation approximate formulas for the determination of the necessary number of observations at each generation are constructed in such a way that the half expected length of an (1-alpha)-confidence interval for a chosen parameter is not greater than a given value. In this sense the accuracy of the parameter estimators can be described.

1995BIOMETRICAL JOURNAL（1995）引用：16

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9Lange, N.; Rayn, L.; Billard, L.; Brillinger, D.; Conquest, L.; Greenhouse, J. (editors): Case Studies in Biometry. John Wiley & Sons, Inc., New York‐Chichester‐Brisbane‐Toron‐to‐Singapore 1994, 501pp., ISBN 0‐471‐58885‐7 (cloth) 80,50$; ISBN 0‐471‐58925‐X (paper) 34,95 $

G. Herrendörfer

Biometrical JournalVolume 37, Issue 5 p. 640-640 Book Review Lange, N.; Rayn, L.; Billard, L.; Brillinger, D.; Conquest, L.; Greenhouse, J. (Editors): Case Studies in Biometry. John Wiley & Sons, Inc., New York-Chichester-Brisbane-Toron-to-Singapore 1994, 501pp., ISBN 0-471-58885-7 (cloth) 80,50$; ISBN 0-471-58925-X (paper) 34,95 $ G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1995 https://doi.org/10.1002/bimj.4710370513AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume37, Issue51995Pages 640-640 RelatedInformation

1995Biometrical Journal（1995）

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10Prabhakaran, V. T.; J. P. Jain: Statistical Technics for Studying Genotype‐Environments Interactions. South Asian Publishers Pvt. Ltd., New Dehli 1994, Pp. 221, US $40.00; ISBN 81–7003–168–0

G. Herrendörfer

Biometrical JournalVolume 36, Issue 8 p. 982-982 Book Review Prabhakaran, V. T.; J. P. Jain: Statistical Technics for Studying Genotype-Environments Interactions. South Asian Publishers Pvt. Ltd., New Dehli 1994, pp. 221, US $40.00; ISBN 81–7003–168–0 G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1994 https://doi.org/10.1002/bimj.4710360811AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume36, Issue81994Pages 982-982 RelatedInformation

1994Biometrical Journal（1994）

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11The Estimation of Skewness and Kurtosis of Random Effects in the Linear-Model

F TEUSCHER,G HERRENDORFER,V GUIARD

Generalising the ANOVA method of estimating variance components in mixed linear models a simple procedure is presented to estimate skewness and kurtosis of the distributions of the random effects of the model. For the model II of a one-way classification this procedure is demonstrated explicitly.

1994BIOMETRICAL JOURNAL（1994）引用：10

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12Experimental-Design For A Nonlinear-Regression Model In The Analysis Of Long-Term Selection Experiments

Pe Rudolph,G Herrendorfer,L Bunger

An experimental design problem is considered for the analysis of long-term selection experiments with nonlinear regression models. For a 3-parametric exponential regression function whose parameters have also a reasonable biological interpretation an approximate formula for the determination of the necessary number of observations at each generations is constructed in such a way that the half expected length of an (1-alpha)-confidence interval for the selection limit is not greater than a given value. In this sense the accuracy of the parameter estimator can be described.

1994ARCHIV FUR TIERZUCHT-ARCHIVES OF ANIMAL BREEDING（1994）

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13D. Brown and P. Rothery: Models in Biology: Mathematics, Statistics and Computing. John Wiley and Sons; Chichester, New York, Brisbane, Toronto, Singapore 1993, 688 Pp, ISBN 0471993228, £24.95

G. Herrendörfer

Biometrical JournalVolume 36, Issue 6 p. 750-750 Book Review D. Brown and P. Rothery: Models in Biology: Mathematics, Statistics and Computing. John Wiley and Sons; Chichester, New York, Brisbane, Toronto, Singapore 1993, 688 pp, ISBN 0471993228, £24.95 G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1994 https://doi.org/10.1002/bimj.4710360615AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume36, Issue61994Pages 750-750 RelatedInformation

1994Biometrical Journal（1994）引用：1

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14Manly, B.; L. McDonald; D. Thomas: Resource Selection by Animals ‐ Statistical Design and Analysis for Field Studies. Chapman & Hall, London‐Glasgow‐New York‐Tokyo‐Melbourne‐Madras 1993, 177 Pp., 17 Figs., 44 Tab., £ 27,95

G. Herrendörfer

Biometrical JournalVolume 35, Issue 7 p. 876-876 Book Review Manly, B.; L. McDonald; D. Thomas: Resource selection by Animals - Statistical design and analysis for field studies. Chapman & Hall, London-Glasgow-New York-Tokyo-Melbourne-Madras 1993, 177 pp., 17 figs., 44 tab., £ 27,95 G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1993 https://doi.org/10.1002/bimj.4710350719AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume35, Issue71993Pages 876-876 RelatedInformation

1993Biometrical Journal（1993）

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15Narain, P.: Statistical Genetics. John Wiley and Sons, New York, Chichester, Brisba Ne Toronte, Singapore 1990, 599 Pp., 84 Figs., 113 Tables, £26.00

G. Herrendörfer

Biometrical JournalVolume 33, Issue 5 p. 546-546 Book Review Narain, P.: Statistical Genetics. John Wiley and Sons, New York, Chichester, Brisba ne Toronte, Singapore 1990, 599 pp., 84 figs., 113 tables, £26.00 G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1991 https://doi.org/10.1002/bimj.4710330506AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume33, Issue51991Pages 546-546 RelatedInformation

1991Biometrical Journal（1991）

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16KLÄY, M.; MAIBACH, R.; METZ, I.; RIEDWYL, H.; ALSTAT PC — Algorithmen Der Statistik Für IBM PC Und Kompatible. Birkhäuser Verlag, Basel 1987, 190 Pp., DM 49,‐

G. Herrendörfer

Biometrical JournalVolume 32, Issue 2 p. 154-154 Book Review KLÄY, M.; MAIBACH, R.; METZ, I.; RIEDWYL, H.; ALSTAT PC — Algorithmen der Statistik für IBM PC und Kompatible. Birkhäuser Verlag, Basel 1987, 190 pp., DM 49,- G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1990 https://doi.org/10.1002/bimj.4710320205AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume32, Issue21990Pages 154-154 RelatedInformation

1990Biometrical Journal（1990）

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17Kläy, M., Riedwyl, H.: ALSTAT 2 – Algorithmen Der Statistik Für Hewlett‐Packard HP‐41C. Birkhäuser Verlag, Basel 1984, 171 Pp., DM 33,–

G. Herrendörfer

Biometrical JournalVolume 31, Issue 7 p. 864-864 Book Review Kläy, M., Riedwyl, H.: ALSTAT 2 – Algorithmen der Statistik für Hewlett-Packard HP-41C. Birkhäuser Verlag, Basel 1984, 171 pp., DM 33,– G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1989 https://doi.org/10.1002/bimj.4710310717AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume31, Issue71989Pages 864-864 RelatedInformation

1989Biometrical Journal（1989）

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18Kläy, M., Riedwyl, H.: ALSTAT 1 – Algorithmen Der Statistik Für Kleinrechner. Birkhäuser Verlag, Basel 1984, 248 Pp., DM 40,‐

G. Herrendörfer

Biometrical JournalVolume 31, Issue 7 p. 864-864 Book Review Kläy, M., Riedwyl, H.: ALSTAT 1 – Algorithmen der Statistik für Kleinrechner. Birkhäuser Verlag, Basel 1984, 248 pp., DM 40,- G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1989 https://doi.org/10.1002/bimj.4710310716AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume31, Issue71989Pages 864-864 RelatedInformation

1989Biometrical Journal（1989）

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19KLONECKI, W., A. KOZEK, J. Rosiński (eds.): Mathematical Statistics and Probability Theory. Proc., Sixth Int. Conf., Wisla, Poland 1978. (lect. Notes in Statistics, Vol. 2.) Springer‐Verlag, Berlin‐Heidelberg‐New York 1980, Xxii, 373 S., 7 Abb., 9 Tab., DM 38.—

G. Herrendörfer

Biometrical JournalVolume 24, Issue 3 p. 272-272 Book Review KLONECKI, W., A. KOZEK, J. Rosiński (Eds.): Mathematical Statistics and Probability Theory. Proc., Sixth Int. Conf., Wisla, Poland 1978. (Lect. Notes in Statistics, Vol. 2.) Springer-Verlag, Berlin-Heidelberg-New York 1980, xxii, 373 S., 7 Abb., 9 Tab., DM 38.— G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1982 https://doi.org/10.1002/bimj.4710240312AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume24, Issue31982Pages 272-272 RelatedInformation

1982Biometrical Journal（1982）

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20BÜRINGER, H., H. MARTIN Und K.‐H. SCHRIEVER: Nonparametric Sequential Selection Procedures. Birkhäuser‐Verlag, Boston, Basel, Stuttgart 1980. 488 S., 26 Abb., 61 Tab., Sfr. 40,—.

G. Herrendörfer

Biometrical JournalVolume 23, Issue 7 p. 727-727 Book Review BÜRINGER, H., H. MARTIN und K.-H. SCHRIEVER: Nonparametric Sequential Selection Procedures. Birkhäuser-Verlag, Boston, Basel, Stuttgart 1980. 488 S., 26 Abb., 61 Tab., sfr. 40,—. G. Herrendörfer, G. HerrendörferSearch for more papers by this author G. Herrendörfer, G. HerrendörferSearch for more papers by this author First published: 1981 https://doi.org/10.1002/bimj.4710230718AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article. Volume23, Issue71981Pages 727-727 RelatedInformation

1981Biometrical Journal（1981）

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