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# lab 10 - EXST 7005 Fall 2010 Lab #10: Factorial Experiment...

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1 EXST 7005 Fall 2010 Lab #10: Factorial Experiment Design A factorial experiment is one in which responses are observed for every combination of factor levels. It allows looking at not only the effect of each main factor but also the effects of interactions between factors on the response variable. Suppose we have two variables A and B and each have two levels, we will get four combination effects of A and B (a1b1, a1b2, a2b1, a2b2). And then we assign these four treatments randomly to experimental units, as is done for the one-way or CRD experiment. It is a 2 x 2 factorial design. For a factorial experiment, we often assume that: 1) there are two or more independently sampled experimental units for each combination of factor levels and also 2) the numbers of experimental units for each combination are equal. The first assumption is to make sure there are replications in consideration of the validity of the experiment; the second assumption is to get a balanced design. A factorial experiment may be thought of as an extension of one-way ANOVA since the same theory and methodology is used. Example: Suppose that an experimenter is interested in evaluating the relative effectiveness of three drugs in bringing about behavioral changes in two categories of patients: schizophrenics and depressives. What is considered to be a random sample of nine patients belonging to the first category

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## This note was uploaded on 12/29/2011 for the course EXST 7005 taught by Professor Geaghan,j during the Fall '08 term at LSU.

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lab 10 - EXST 7005 Fall 2010 Lab #10: Factorial Experiment...

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