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APPLIED MULTIVARIATE STATISTICS: WITH SAS® SOFTWARE by Dayanand N. Naik, Ravindra Khattree

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4.6. Fractional Factorial Experiments

As the number of variables in an experiment increases, so does the total number of all possible combinations or treatments obtained by combining various levels of these variables. As a result, the number of experiments needed to obtain data on the corresponding full factorial design may soon become overwhelming. One way to reduce the total number of experiments is to carefully choose the combinations of variable levels, so that the information on all main effects and certain important lower order interactions can still be extracted from these experiments. This, of course, requires assuming the absence of certain interactions, for example. Also it is necessary to choose the design carefully to ensure that ...

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