STATISTICS Lecture Notes - Latin Square, Analysis Of Variance, Bar Chart
Document Summary
Latin square design description layout analysis advantages and disadvantages. 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 column effect tk is the kth treatment effect and eijk is the error term. The analysis of variance table for lsd is as follows: Total d. f. t-1 t-1 t-1 (t-1)(t-2) ess t2-1. 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.
