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Unformatted text preview: 1 Stat Stat 430/830: 430/830: Analysis Analysis of of Variance Variance Lecture October 13, 2010 Blocking in the 2 Blocking in the 2 k k Factorial Design Factorial Design If it is possible to include all the factor level combinations in a single block, the experiment can be run as a complete randomized block design. In this case: – Each block will contain 2 k runs. – The number of replicates is equal to the number of blocks (e.g., n blocks needed for n replicates) Example of Blocking in the 2 Example of Blocking in the 2 2 Factorial Design Factorial Design A: Reactant concentration; B: catalyst; Blocks: raw material batch Response: Conversion yield Blocking in the 2 Blocking in the 2 k Factorial Design Factorial Design No interaction effect; both factors significant. Block effect relatively small. 2 Confounding Confounding In many cases not all factor combinations can be allocated to a single block. In this case there is a loss of information because the block effect will be indistinguishable from...
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This note was uploaded on 01/16/2011 for the course STAT 430 taught by Professor Stefansteiner during the Fall '03 term at Waterloo.
- Fall '03