Quiz 5

Quiz 5 - God I hate stats. In a factorial experiment, each...

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God I hate stats. In a  factorial experiment , each possible combinations of the  levels of the factors in each replicate of the experiment is  investigated. An experiment with two factors (A, B) is represented  by a flat sheet in 3-D surface plot. Factorial experiments are the only way to  discover interactions between variables . 2 k  factorial design provides the smallest # of runs for which k  factors can be studied in a complete factorial design. 2 2  Design (A,B factors):  b,ab are similar Main effect of A: Main effect of B: AB interaction: For the above 3 equations, quantities in brackets are  contrasts. Sums of squares  formulas: SS calculated “as usual” with 4n-1 DF, SS E  with 4(n-1) DF with  subtraction. Formulas for Two-Level Factorial with k factors Each at Two Levels and N total Trials V(Effect)= Coefficient = effect/2 =SS E /(4n-4) Residuals:  2 k  Design for k>=3 Factors Effects are calculated the same way as before (average of  some factor at high minus average of some factor at low) And similar for the rest of the effects (B, C, AB, BC, ABC)
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This note was uploaded on 09/17/2008 for the course IEE 380 taught by Professor Anderson-rowland during the Spring '06 term at ASU.

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Quiz 5 - God I hate stats. In a factorial experiment, each...

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