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Design and Analysis of Experiments by Douglas Montgomery: A Supplement for Using JMP by James Wisnowski, Andrew Karl, Heath Rushing

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7Blocking and Confounding in the 2k Factorial Design

Example 7.1 A 2k Replicated Factorial Design with Blocking

Example 7.2 Blocking and Confounding in an Unreplicated Design

Example 7.3 A 23 Design with Partial Confounding

This chapter discusses designs that allow 2k factorial experiments to be run in blocks. When blocks (e.g., batches of raw material) are large enough, a complete replicate of the experiment may be run in each block. In unreplicated designs, at least one of the model effects will be confounded with the blocking factor: it is not possible to differentiate the confounded effect from the blocking effect. Guided by the sparsity-of-effects principle, we are usually most concerned with main effects and two-way interactions, and less ...

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