The Journal of Applied Business Research – November/December 2012 Volume 28, Number 6
© 2012 The Clute Institute http://www.cluteinstitute.com/ 1357
Predicting Auditor Changes With Financial
Distress Variables: Discriminant
Analysis And Problems
With Data Mining Approaches
Susan Eldridge, University of Nebraska at Omaha, USA
Wikil Kwak, University of Nebraska at Omaha, USA
Roopa Venkatesh, University of Nebraska at Omaha, USA
Yong Shi, University of Nebraska at Omaha, USA
Gang Kou, University of Electronic Science and Technology of China, China
ABSTRACT
Our study extends previous research that uses financial distress factors in predicting auditor
changes by evaluating the effectiveness of the traditional discriminant analysis model, not used in
previous auditor change studies, and by highlighting the importance of evaluating the likelihood
that data mining approach classification results occurred by chance. Significance of individual
predictor variables, as well as of the full set of 13 financial variables, can be tested using
discriminant analysis. Kwak et al. (2011) document overall classification accuracy rates ranging
from 61 to 63.5 percent for the four data mining models they compared but did not address
whether these rates occurred by chance. Using Kwak et al.’s (2011) data set of firms changing
auditors in 2007 or 2008 and matching non-auditor change firms, our discriminant analysis test
results show overall accuracy rates of less than 56 percent and true positive rates over 85 percent,
but these rates are influenced by a disproportionate number of non-auditor change firms being
classified as auditor change firms. Individual predictor variables that are important in the
discriminant equation based on standardized canonical coefficients include losses (LOSS) and no
payment of dividends (DIV) in the year prior to the auditor change, retained earnings as a percent
of total assets (RE/TA), and earnings before interest and taxes as a percent of total assets
(EBIT/TA). The Kappa statistic and AUC metrics for all 13 data mining algorithms we used
indicate that classifications using these algorithms are no better than random classifications.
Keywords: Auditor Change; Discriminant Analysis; Data Mining; Financial Distress
1. INTRODUCTION
uditor change prediction is an interesting issue because auditor changes may give warnings to
investors, regulators, or other financial statement users about the audited firm’s financial condition.
Several previous bankruptcy prediction studies document a positive association between bankruptcy
and auditor changes, but most prior research studies on auditor change prediction fail to include a portfolio of
financial distress variables (see discussion in Section 2). Kwak et al. (2011) use multiple criteria linear
programming (MCLP) and three other data mining approaches for predicting auditor changes with 13 financial
distress variables and they document overall accuracy rates of around 60 percent. Results from the application of
these and other data mining approaches, however, provide limited information on the usefulness of specific predictor
variables, and Peng et al. (2009) raise concerns about the lack of consistency in prediction results across various data
mining algorithms and performance measures. The objectives of our current study are to gain further insights into
the usefulness of specific financial distress variables for predicting auditor changes by using discriminant analysis
with Kwak et al.’s (2011) sample and to more carefully evaluate the effectiveness of various data mining algorithms
based on other performance measures in addition to accuracy rates.
A