Plan for the session Questions? Complete some random topics Lecture on Design of Dynamic Systems (Signal /Response Systems Recitation on hw#5? mit 人 16881
Plan for the Session • Questions? • Complete some random topics • Lecture on Design of Dynamic Systems (Signal / Response Systems) • Recitation on HW#5? 16.881 MIT
Dummy levels and u Before Factor Effects on the s/N Ratio moz 16 After 12 10 Set sp2=sp3 今今寸小$$小小 Factor Effects on the s/N Ratio urises Predictions 16 unaffected 回o 12 10 人 16881
Dummy Levels and µ • B e fo re • A ft er – Set SP2=SP3 – µ rises – Predictions unaffected Factor Effects on t he S/N R atio 10 12 14 16 18 SP1 SP2 SP3 DA1 DA2 DA3 CUP1 CUP2 CUP3 PP1 PP2 PP3 S/N Ratio (dB) Factor Effects on t he S/N R atio 10 12 14 16 18 SP1 SP2 SP3 DA1 DA2 DA3 CUP1 CUP2 CUP3 PP1 PP2 PP3 S/N Ratio (dB) µ µ 16.881 MIT
Number of tests One at a time Listed as small Orthogonal Array Listed as small White box Listed as medium mit 人 16881
Number of Tests • One at a time – Listed as small • Orthogonal Array – Listed as small • W h i t e B ox – Listed as medium 16.881 MIT
Linear regression Fits a linear model to data 阝0+β1X1+8 y-intercept rIse run slopeβ,=se X Y=B0+BiX 16881
Linear Regression • Fits a linear model to data Yi β 0 β 1 Xi . εi 16.881 MIT
Error terms Error should be independent Within replicates Between X values [X: .Y: on r xxX Population data points mit 人 16881
Error Terms • Error should be independent – Within replicates – Between X values 6 4 2 0 0 0.5 1 1.5 2 Population regression line 2 Population data points 16.881 Error terms MIT