Biometrical Letters Vol. 57(2), 2020, pp. 151-175
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ON A NEW APPROACH TO THE ANALYSIS OF VARIANCE FOR EXPERIMENTS WITH ORTHOGONAL BLOCK STRUCTURE. IV. EXPERIMENTS IN SPLIT-PLOT DESIGNS Tadeusz Caliński, Agnieszka Łacka, Idzi Siatkowski Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, 60-637 Poznan, Poland, e-mail: calinski@up.poznan.pl, agnieszka.lacka@up.poznan.pl, idzi.siatkowski@up.poznan.pl |
This paper provides estimation and hypothesis testing procedures for experiments in split-plot designs. These experiments have been shown to have a convenient orthogonal block structure when properly randomized. Due to this property, the analysis of experimental data can be carried out in a relatively simple manner. Relevant simplification procedures are indicated. According to the adopted approach, the analysis of variance and hypothesis testing procedures can be performed directly, rather than by combining the results of analyses based on some stratum submodels. The practical application of the presented theory is illustrated by examples of real experiments in appropriate split-plot designs. The present paper is the fourth in the planned series of publications on the analysis of experiments with orthogonal block structure.
analysis of variance, estimation, hypothesis testing, orthogonal block structure, randomization-derived model, split-plot designs
