STATISTICS Lecture Notes - Latin Square, Analysis Of Variance, Royal Institute Of Technology
Document Summary
Formation of anova table for latin square design (lsd) and comparison of means using critical difference values. When the experimental material is divided into rows and columns and the treatments are allocated such that each treatment occurs only once in each row and each column, the design is known as l s d. In lsd the treatments are usually denoted by a b c d etc. For a 5 x 5 lsd the arrangements may be. Yijk = + ri + cj + tk + eijk ri is the ith row effect cj is the jth col effect tk is the kth treatment effect. The analysis of variance table for lsd is as follows: F[t-1),(t-1)(t-2)] degrees of freedom at 5% or 1% level of significance. Steps to calculate the above sum of squares are as follows: These results can be summarized in the form of analysis of variance table. Se = where r is the number of rows.
