Exercise Tool Life An engineer is interested in the effects of four factors on y = life of a tool: A: Cutting speed B: Cutting angle C: Tool hardness.

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Exercise Tool Life An engineer is interested in the effects of four factors on y = life of a tool: A: Cutting speed B: Cutting angle C: Tool hardness D: Cutting tool angle Two levels were selected for each factor; sixteen runs were planned. Because of the length of time involved in doing each test, four stations (=four blocks) were used. Exercise: Allocate the sixteen runs to the four blocks. What is the alias structure?

Exercise Block Design Factors A through D will be assigned to columns 1-4 and the blocks to columns ABC and ABD (or any other pair chosen from ABC, ABD, ACD, and BCD).

Four Blocks Table of Column-Allocations (Four-factor experiment in four blocks of four runs each) The runs in each block are as shown below.

Four Blocks Alias Structure (Four-factor experiment in four blocks of four runs each) The alias structure for two-way interactions is: