sol4302

sol4302 - Stat 430/830 Solutions 2 2 a Experimental unit...

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Stat 430/830 Solutions 2 2. a) Experimental unit: one run of the MLE algorithm with a specific set of random starting values for the parameters Treatment: algorithm’s convergence tolerance with three levels log ( * ) = -1, -2, -3 Response variable: running time of algorithm Plot of data is on sol4302.doc We see a linear decrease in running time as log tolerance increases. One point at log * = -2 stands out a bit. However a plot of Cook’s statistic (see sol4302.doc, but plot is NOT needed on the assignment) indicates that it is not that influential - the observation does not stand out that far from the rest and is not beyond the rule of thumb, the 50 percentile of F(3,9), 0.85. th b) The model is : with and ij Y = response variable = running time for the jth observation of the ith convergence tolerance : = overall mean ii i J = mean deviation of treatment i from the overall mean so that : = : + J is the mean effect of treatment I ij , = normally distributed random error variable OR The model is : with

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ij Y = response variable = running time for the j observation of the i convergence tolerance th th i : = population mean for i convergence tolerance th ij ,
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sol4302 - Stat 430/830 Solutions 2 2 a Experimental unit...

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