On a New Approach to the Analysis of Variance for Experiments with Orthogonal Block Structure.

• Autorzy: Tadeusz Calinski , Idzi Siatkowski
• Języki publikacji: EN

Abstrakty

EN

Summary The main estimation and hypothesis testing results are presented for experiments conducted in proper block designs. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Because of this, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are introduced. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform them directly, not by combining results from intra-block and inter-block analyses. Application of the theory is illustrated by three examples of real experiments in proper block designs. This is the first of a projected series of papers concerning the analysis of experiments with orthogonal block structure.

Słowa kluczowe

EN

analysis of variance; estimation; hypothesis testing; orthogonal block structure; proper block designs; randomization-derived model

• Wydawca: De Gruyter Open
• Czasopismo: Biometrical Letters
• Rocznik: 2017
• Tom: 54
• Numer: 2
• Strony: 91-122

Daty

wydano

2017-12-20

online

2017-12-13

Twórcy

autor

Tadeusz Calinski

• ,

autor

Idzi Siatkowski

• ,

Identyfikatory

DOI

10.1515/bile-2017-0006