A set theoretic framework for enumerating matches in surveys and its application to reducing inaccuracies in vehicle roadside surveys

In this paper, a method for representing the possible types of match is outlined using set theory. The phrase types of match will be defined and formalised in this paper. A method for enumerating Mn, the set of all types of match over n survey sites, is described. The method is applied to the problem of correcting survey data for false matches using a simple probablistic method. An algorithm is developed for correcting false matches over multiple survey sites and its use is demonstrated with simulation results.