Statistical Approaches in Analysis of Variance: from Random Arrangements to Latin Square Experimental Design

Background: The choices of experimental design as well as of statisticalanalysis are of huge importance in field experiments. These are necessary tobe correctly in order to obtain the best possible precision of the results. Therandom arrangements, randomized blocks and Latin square designs werereviewed and analyzed from the statistical perspective of error analysis.Material and Method: Random arrangements, randomized block and Latinsquares experimental designs were used as field experiments. A series ofpreviously published data were analyzed. An algorithm for errors analysis wasdeveloped and applied on the experimental data. Results: The analysisrevealed that the errors classification in random arrangements is:Error(Treatment) < Error(Total) < Error(Experiment). The errorsclassification in randomized blocks revealed to be: Error(Treatment) Keywords Design of experiment --- Random arrangements --- Randomized blocks --- Latin squares --- Analysis of errors.