ISE 426-526 - Lecture 10 - Blocking 2^k Factorial Designs

ISE 426-526 - Lecture 10 - Blocking 2^k Factorial Designs -...

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1 ISE 426/526 Lecture 10 – 2007 Blocking and Confounding in the 2 k Factorial Design Term Project(s) • Due Date – July 30, 2007 • Organization of Report (4 page limit – per project) – Statement of problem – Choice of factors • Choice of levels • Choice of ranges – Selection of response variable – Choice of experimental design – Performing the experiment – Statistical analysis of data • Initial Analysis • Checking Assumptions • Additional Analysis – transformations, paired comparisons, etc. – Conclusions, recommendations, and lessons learned Report Format • Title and Author top of page 1 • Margins: 1 inch • Font: 12 point Times Roman • Spacing: Double spaced • Integrated tables & figures • Page numbers bottom center Project 1 (All students): Minimum 2 3 design Project 2 (Grad students): Minimum 2 4-1 design
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2 Blocking Factorial Designs Experimental Designs CRD RBD Single Factor Multiple Factors RCBD Incomplete Block Designs Single Factor Multiple Factors Blocking a Replicated 2 k Factorial Design • Block around non-homogeneous conditions • n replicates • Run complete trial w/in each block • Run order w/in blocks randomized • Theoretical Model () ijk i j ij k ijk y μ τβ τ β δε =++ + + + 1, 2,. ... 1,2,. ... 1,2,. ... ia j b kn = = =
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3 Chemical Process Experiment in 3 Blocks Example 7-1, pg. 266 •SS Blocks formula – Table 5-18, pg. 194 Example 7-1 Basic Calculations
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4 Minitab Setup Example 7-1 1. Create Design as a replicated 2k Factorial
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ISE 426-526 - Lecture 10 - Blocking 2^k Factorial Designs -...

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