U.S. flag

An official website of the United States government, Department of Justice.

Dot gov

Official websites use .gov
A .gov website belongs to an official government organization in the United States.


Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Assessing Evidentiary Value in Fire Debris Analysis by Chemometric and Likelihood Ratio Approaches

NCJ Number
Date Published
M. E. Sigman, M. R. Williams
Publication Type
This article presents results from support vector machine (SVM), linear and quadratic discriminant analysis (LDA and QDA), and k-nearest neighbors (kNN) methods of binary classification of fire debris samples as positive or negative for ignitable liquid residue.
Training samples were prepared by computationally mixing data from ignitable liquid and substrate pyrolysis databases. Validation was performed on an unseen set of computationally mixed (in silico) data and on fire debris from large-scale research burns. The probabilities of class membership were calculated using an uninformative (equal) prior, and a likelihood ratio was calculated from the resulting class membership probabilities. The SVM method demonstrated a high discrimination, low error rate and good calibration for the in silico validation data; however, the performance decreased significantly for the fire debris validation data, as indicated by a significant increase in the error rate and decrease in the calibration. The QDA and kNN methods showed similar performance trends. The LDA method gave poorer discrimination, higher error rates, and slightly poorer calibration for the in silico validation data; however, the performance did not deteriorate for the fire debris validation data. (Publisher abstract modified)
Date Created: December 26, 2017