A Comprehensive Guide to Factorial Two-Level Experimentation by Robert Mee

By Robert Mee

This publication includes the main accomplished assurance to be had at any place for two-level factorial designs.

The re-analysis of fifty released examples serves as a how-to consultant for research of the various sorts of complete factorial and fractional factorial designs.

By targeting two-level designs, this booklet is available to a large viewers of practitioners who use deliberate experiments.

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Extra resources for A Comprehensive Guide to Factorial Two-Level Experimentation

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263, whereas at 30 min, the estimated temperature effect essentially disappears. A Time*Temperature interaction plot would display this, and would indicate a preference for the 15-min, 70o C combination. 2. 05 to select a hierarchical model for yield, we include two two-factor interactions, x1 x4 and x2 x4 , and the three main effects x1 , x2 , and x4 . 0448 What has changed from the previous analysis? 3) with hardly any decrease in the model sums of squares. 0089 Now, three or four effects appear to be statistically significant.

Do their predicted values differ at the treatment combination(s) of interest? 3, here we consider the simplest (although not necessarily common) case, where the 2k treatment combinations of a full factorial are each replicated n times in a manner that yields N = n2k observations with independently distributed errors. 3 discussed t-tests for individual coefficients, as well as a test involving all the saturated model’s coefficients. Following tests for individual coefficients, one proceeds in Step 3 of the analysis strategy to fitting a reduced model with, say, r coefficients, including the intercept, b0 , with 1 < r < 2k .

2288. 0006250 Fig. 1. 052. Which coefficient estimates are statistically significant also varies from method to method. Which fitted model is best and which estimate is closest to the true σ 2 are unknown. For now, we discuss the possible interaction terms and then return to the discussion about estimators for σ 2 . With Method 1, x2 ∗ x4 is the only statistically significant interaction. 6 Yield (g) LS Means 15 30 15 min. 4 30 min. 2 6 60 70 Temperature we conclude that 15 min at 70o C is preferable.

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