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From: lyw8 on 14 Dec 2009 16:39 A chemist needs to estimate sample size to compare three calibration curves of 11 standard concentrations for chemical analysis for three different matrices. The null hypothesis is that there is no difference in the intercept and slope of the three calibration linear regression curves. The chemist would like to know the number of repeated experimental run sequences needed in order to capture the possible between run variation. =20 Response will be the dependent variable, the experiment will look like as followed with two matrices and two run sequences only: =20 =20 Matrix Run sequence Concentration=20 Response=20 1 1 1 =09 1 1 2 =09 1 1 3 =09 1 1 4 =09 1 1 5 =09 1 1 6 =09 1 1 7 =09 1 1 8 =09 1 1 9 =09 1 1 10 =09 1 1 11 =09 1 2 1 =09 1 2 2 =09 1 2 3 =09 1 2 4 =09 1 2 5 =09 1 2 6 =09 1 2 7 =09 1 2 8 =09 1 2 9 =09 1 2 10 =09 1 2 11 =09 2 1 1 =09 2 1 2 =09 2 1 3 =09 2 1 4 =09 2 1 5 =09 2 1 6 =09 2 1 7 =09 2 1 8 =09 2 1 9 =09 2 1 10 =09 2 1 11 =09 2 2 1 =09 2 2 2 =09 2 2 3 =09 2 2 4 =09 2 2 5 =09 2 2 6 =09 2 2 7 =09 2 2 8 =09 2 2 9 =09 2 2 10 =09 2 2 11 =09 Will a multiple regressin including matrix ( 3 levels), conc (continuous) , and their interaction between matrix abnd concentration be the right mdoel ? The problem is to determine the sampe size of the run sequency and whether porc power with multreg option will be the right one to use. If so, what parameters need to be specified ? =20 Thank you.=20 Lee-Yang Wong
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