Lab12_Latin Square Design

# Lab12_Latin Square Design - EXST 7015 - Statistical...

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EXST 7015 - Statistical Inference II, Fall 2011 Lab 11: Latin Square Design and Expected Mean Square OBJECTIVES: The objective of an experimental design is to provide the maximum amount of reliable information at the minimum cost. In statistical terms, the reliability of information is measured by the standard error of estimates (that is directly related with the population variance, inversely related to sample size). Properly applied experimental design may effectively reduce the population variance, and/or could structure data collection to reduce the magnitude of the experimental error. Usually data resulting from the implementation of experimental designs are described by linear model and analyzed by the analysis of variance. In last week’s lab, a special RBD example was exercised, which help you understand why it is important to consider the block effect in the experimental design. You are also getting familiar with how to construct source ANOVA table with variance sources, their degree of freedom and expected mean squares. Today, Latin Square Design (LSD) with row and column blocks will be introduced. Compared with factorial design, LSD is more efficient which allows the researchers to control variations in two directions with minimum experimental unit. In LSD, there are equal numbers of treatment, row block and column block. Treatments are assigned at

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## This note was uploaded on 12/29/2011 for the course EXST 7015 taught by Professor Wang,j during the Fall '08 term at LSU.

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Lab12_Latin Square Design - EXST 7015 - Statistical...

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