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Unformatted text preview: 1 The Strategy of Experimentation very experiment involves a sequence of activities: 1. Conjecture – the original hypothesis that motivates the experiment. 2. Experiment – the test performed to investigate the conjecture. 3. Analysis – the statistical analysis of the data from the experiment. 4. Conclusion – what has been learned about the original conjecture from the experiment. Often the experiment will lead to a revised conjecture, and a new experiment, and so forth.2 Factorial Experiments2 Factorial Experiments2 Factorial Experiments2 Factorial Experiments2 Factorial Experiments2 Factorial Experiments3 2 k Factorial Design3 2 k Factorial Design 73.1 2 2 Example3 2 k Factorial Design 73.1 2 2 Example3 2 k Factorial Design 73.1 2 2 Example3 2 k Factorial Design 73.1 2 2 Example3 2 k Factorial Design 73.1 2 2 Example3 2 k Factorial Design3 2 k Factorial Design3 2 k Factorial Design3 2 k Factorial Design3 2 k Factorial Design Standard Error of the Effects 73.2 Statistical Analysis3 2 k Factorial Design Standard Error of the Effects 73.2 Statistical Analysis3 2 k Factorial Design Regression Analysis For Example 71, the least squares fitted model is3 2 k Factorial Design3 2 k Factorial Design3 2 k Factorial Design3.3 Residual Analysis and Model Checking From Example 71, when x 1 = 1: The resulting residuals are:3 2 k Factorial Design3.3 Residual Analysis and Model Checking3 2 k Factorial Design3.3 Residual Analysis and Model Checking3 2 k Factorial Design3.3 Residual Analysis and Model Checking3 2 k Factorial Design3.3 Residual Analysis and Model Checking4 2 k Design for k ≥ 3 Factors Consider a 2 3 Design4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors4 2 k Design for k ≥ 3 Factors Regression Model and Residual Analysis4 2 k Design for k ≥ 3 Factors Projection of a 2 k Design5...
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