150 - Information, data dimension and factor structure

DNB Working Papers
Date 30 October 2007

This paper employs concepts from information theory to choosing the dimension of a data set. We calculate relative measures of information in the data in terms of eigenvalues and derive criteria to determine the `optimal' size of the data set, in particular whether an extra variable adds information. The methods can be used as a first step in the construction of a dynamic factor model or a leading index, as illustrated with a macroeconomic data set on The Netherlands. Keywords: information, data set dimension, dynamic factor models, leading index. JEL classification: C32, C52, C82.