Chapter Ten - Lecture Notes Chapter Ten Analysis of...

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Lecture Notes Chapter Ten: Analysis of Variance Randall Miller 1 | P a g e 1. Elements of a Designed Experiment Definition 10.1 The response variable is the variable of interest to be measured in the experiment. We also refer to the response as the dependent variable . Definition 10.2 Factors are those variables whose effect on the response is of interest to the experimenter. Quantitative factors are measured on a numerical scale, whereas qualitative factors are not (naturally) measured on a numerical scale. Definition 10.3 Factor levels are the values of the factor utilized in the experiment. Definition 10.4 The treatments of an experiment are the factor-level combinations utilized. Definition 10.5 An experimental unit is the object on which the response and factors are observed or measured. Definition 10.6 A designed experiment is an experiment in which the analyst controls the specification of the treatments and the method of assigning the experimental units to each treatment. An observational experiment is an experiment in which the analyst simply observes the treatments and the response on a sample of experimental units.
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