Analysis of experiments in square lattice with emphasis on variance components. I. Individual analysis

This paper focused on four alternatives of analysis of experiments in squar e lattice as far as the estimation of variance components and some genetic parameters are concerned: 1) intra-block analysis with adjusted treatment a nd blocks within unadjusted repetitions; 2) lattice analysis as complete ra ndomized blocks; 3) intrablock analysis with unadjusted treatment and block s within adjusted repetitions; 4) lattice analysis as complete randomized b locks, by utilizing the adjusted means of treatments, obtained from the ana lysis with recovery of interblock information, having as mean square of the error the mean effective variance of this same analysis with recovery of i nterblock information. For the four alternatives of analysis, the estimator s and estimates were obtained for the variance components and heritability coefficients. The classification of material was also studied. The present study suggests that for each experiment and depending of the objectives of the analysis, one should observe which alternative of analysis is preferabl e, mainly in cases where a negative estimate is obtained for the variance c omponent due to effects of blocks within adjusted repetitions.