Volume 28, Issue 1 pp. 45-58
Original Paper
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Analysis of Line × Tester Progenies Compared in Orthogonally Supplemented Efficiency Balanced Incomplete Block Design

Z. Kaczmarek

Corresponding Author

Z. Kaczmarek

Institute of Plant Genetics of the Polish Academy of Sciences, Department of Mathematical and Statistical Methods and Department of Genetics and Plant Breeding Academy of Agriculture Poznań

Academy of Agriculture in Poznań, Department of Mathematical and Statistical Methods ul. Wojska Polskiego 28 60–637 Poznań, PolandSearch for more papers by this author
H. Kielczewska

Corresponding Author

H. Kielczewska

Institute of Plant Genetics of the Polish Academy of Sciences, Department of Mathematical and Statistical Methods and Department of Genetics and Plant Breeding Academy of Agriculture Poznań

Academy of Agriculture in Poznań, Department of Mathematical and Statistical Methods ul. Wojska Polskiego 28 60–637 Poznań, PolandSearch for more papers by this author
T. Luczkiewicz

Corresponding Author

T. Luczkiewicz

Institute of Plant Genetics of the Polish Academy of Sciences, Department of Mathematical and Statistical Methods and Department of Genetics and Plant Breeding Academy of Agriculture Poznań

Academy of Agriculture in Poznań, Department of Mathematical and Statistical Methods ul. Wojska Polskiego 28 60–637 Poznań, PolandSearch for more papers by this author
First published: 1986
Citations: 1

Abstract

An analysis of experimental design is suggested for comparing progenies of lineXtester mating system. The line × tester mating system is an expanded top-cross mating system, used frequently in practice. This system is of interest for breeders dealing with estimation and testing of general as well as specific combining abilities. In the suggested design, treatments, i.e. hybrids obtained in crosses, and testers are studied in orthogonally supplemented incomplete block design. Analysis of variance has been presented, estimators of expected values for progenies and for testers have been given, testing of hypotheses concerning contrasts of interest for progenies, lines and testers has been discussed. Estimators of effects of general and specific combining abilities as well as tests permitting for testing the significance of various genetic parameters, have also been given.

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