WebThe following statements use the CYCLIC option in the TREATMENTS statement to generate a simple Latin square. The RANDOM option in the OUTPUT statement randomizes the generated Latin square by randomly permuting the row, column, and treatment values independently. This example also uses factor-value-settings in the OUTPUT statement. WebDec 5, 2024 · Figure 1 – Latin Squares design with replication. The formulas used to compute the factor means (for the first replication, row, column and treatment) ... Figure 2 – Formulas for factor means. Note that the formulas used to calculate the row and treatment means are array formulas.
4.3 - The Latin Square Design STAT 503
WebHyper-Graeco-Latin square designs. Hyper-Graeco-Latin squares, as described earlier, are efficient designs to study the effect of one treatment factor in the presence of 4 nuisance factors. They are restricted, however, to the case in which all the factors have the same number of levels. Designs for 4- and 5-level factors are given on this page ... WebWhen the number of treatments n is an odd number: two appropriate Latin squares are required. The above Williams design examples further indicate the rules. When the number of treatments is 3 and 5, there are two 3 x 3 and 5 x 5 Latin squares, respectively. However, when the number of treatments is 4 and 6, one appropriate Latin square is ... bt smart hub plus
Chapter 5 Complete Block Designs ANOVA and Mixed Models
Web3.11 Latin Square Designs The experimenter is concerned with a single factor having plevels. However, variability from two other sources can be controlled in the experiment. If … WebFigure 5 – Formulas for factor means. The right side of Figure 4 contains the ANOVA analysis. The degrees of freedom for all three factors is 3 (cells P4, P5, P6), equal to the … WebLatin square and related designs For Latin square designs, the 2 nuisance factors are divided into a tabular grid with the property that each row... As with the Latin square … expansionary and contractionary policy