On evaluating fit of the Lifshitz–Slyozov–Wagner (LSW) distribution to particle size data

✍ Scribed by Murat Tiryakioğlu; Giray Ökten; David Hudak; Ralph T. Shuey; Jaakko P. Suni

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 301 KB
• Volume: 527
• Category: Article
• ISSN: 0921-5093
• DOI: 10.1016/j.msea.2009.11.054

✦ Synopsis

Statistical procedures to determine whether particle size data can be characterized by the LSW distribution have been developed by using two methods to estimate the population average: sample mean and maximum likelihood. Two goodness-of-fit tests, namely the Kolmogorov-Smirnov and Anderson-Darling statistics, have been assessed by Monte Carlo simulations for seven sample sizes ranging from 10 to 1000. Results indicate that the fitting method has a profound effect on the critical values of the two tests for all sample sizes. It has also been determined that cut-off (censoring) of the data by finite resolution in microscopy has negligible effect on the evaluation of the fit. Procedures are demonstrated on one dataset from the literature.