biometrics 60 407 417 june 2004 bayesian analysis of serial dilution assays 1 2 1 andrew gelman ginger l chew and michael shnaidman 1department of statistics columbia university new york ...
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...Biometrics june bayesian analysis of serial dilution assays andrew gelman ginger l chew and michael shnaidman department statistics columbia university new york u s a environmental health email stat edu summary in assay the concentration compound is estimated by combining mea surements several dierent dilutions an unknown sample relation between measurement nonlinear heteroscedastic so it not appropriate to weight these measurements equally standard existing approach for data large proportion are discarded as being above or below detection limits we present method jointly estimating calibration curve concentrations using all compared our estimates have much lower errors give even when outside evaluate empirically laboratory on cockroach allergens measured house dust samples more accurate than those obtained usual addition develop determining eective attached each based local linearization model can insight into information conveyed point suggests potential improvements design experimen...