Factors, Blocks, and Randomization

We'll refer to the components that might affect compressive strength as factors. In general, a factor is a variable that can affect the response variable of interest. Factors might be categorical or numerical. The strategy in a screening experiment is to test a number of factors in order to discover which ones have the greatest impact on the response variable. When we design an experiment, we ideally take into account all potential sources of variation in the response variable. We generally do this in several ways within an experiment.

  • We deliberately manipulate—that is, set the values of—some factors (sometimes called treatments) that we believe affect the response variable.

  • We control other factors by holding ...

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