ABSTRACT

An alternative to using multiple discriminant analysis is the use of conditional probability models to estimate the probability of occurrence of a choice or outcome, conditional on the attribute vector of the choice or outcome set that is available. The second half of this chapter will show that although conditional prob­ ability models have a number of advantages over multiple discriminant analysis they are generally unable to reduce the multi-dimensionality of the problem of corporate failure. This implies that either a theory or some form of dimensionality reduction technique will have to be employed to ensure that the variable choice set is of the right form before using the con­ ditional probability models. The earlier chapters argued that the development of theory leaves much to be desired and so the first half of this chapter will outline a dimension reduction tech­ nique, factor analysis. It presents a factor-analytic classification of small company financial ratios which can then be used as a starting point for the prediction of small company failure via conditional probability models.