In DOE terminology, a factor is an input variable that the experimenter deliberately controls or changes to study its effect on a response. For a pie-baking process, cooking time is an input setting and therefore qualifies as a factor. By contrast, flavor, texture, and crust color are typically outputs or response characteristics that result from the chosen factor settings. The CSSBB and related Lean Six Sigma experimental-design materials describe factors as variables adjusted at selected levels, while responses are the measured outcomes used to judge the effect of those settings. For example, time, temperature, ingredient quantity, or oven setting are common factors in a food-processing experiment, whereas quality attributes such as doneness, appearance, and texture are responses. This distinction is fundamental in the Improve Phase because DOE is used to determine which controllable inputs drive desired outputs. A Black Belt must clearly separate Xs from Ys: factors are the Xs and results are the Ys. In this question, cooking time is the only controllable input variable listed, so it is the correct factor in the experiment.
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