Robust nonfitting way to determine mass diffusivity and initial concentration for VOCs in building materials with...

This paper presents a novel procedure for estimating mass diffusivity and initial concentration for VOCs in building materials. In contrast to methods that fit data to an organic emission model, this new method determines these two parameters by two observations from a chamber test in a nonfitting and sequential way, which defines a well-posed problem and requires no iterative procedure as well as is robust to initial guess and random uncertainties. The most outstanding feature of this method is that multiple estimates of the parameters can be obtained when more than two experimental data are available; thus, these estimates constitute a sample of population of parameter estimates involving experimental errors. The averages of the sample can be regarded the best estimates of the parameters, and, more importantly, variances (standard deviations) and confidence intervals can be readily and naturally estimated making no assumption about the distribution of experimental errors. Two easy and direct ways are suggested for determining confidence limits: one is percentile method, and the other is the normal approximation. This feature highlights the major difference between the new method and common curve-fitting procedures that generally assume random errors being Gaussian distribution.