Belief Functions in Business Decisions, edited by R. P. Srivastava and T. Mock, Physica-Verlag, Heidelberg, Springer-Verlag Company (forthcoming). Auditors Evaluations of Uncertain Audit Evidence: Belief Functions versus Probabilities

Recently, Shafer and Srivastava [1], Srivastava and Shafer [2], Srivastava [3]-[4], and Van den Acker [5] have identified appealing features of belief function evidential networks. These networks can express the support that audit evidence provides for assertions, accounts and financial statements. These networks can also aggregate many pieces of evidence into an overall level of support for a particular assertion, account or an entire set of financial statements. There is little empirical evidence about the ability of practicing auditors to express their evaluations of the strength of audit evidence in terms of belief functions. Many traditional models assume the use of probabilities. These might be called the traditional type of subjective probabilities. They are additive by definition, i.e. P(a) + P(~a) = 1. Throughout the remainder of this paper they will simply be referred to as probabilities. This study examines the question of expressing the support provided by audit evidence empirically. Auditors are asked to express the level of support that evidence provides for or against an assertion or account and the ignorance that remains about the assertion or account after considering the evidence. Many auditors who use probabilities to measure risk express ignorance by giving equal weight to support for and support against the objective. Belief functions express ignorance by allocating mass to all elements of the frame (all possible 1 The authors would like to acknowledge the generous support of the Deloitte & Touch