Proteins of known structures are usually classified into four structural cl
asses: all-a, all-beta, alpha+beta, and alpha/beta type of proteins. A numb
er of methods to predicting the structural class of a protein based on its
amino acid composition have been developed during the past few years. Recen
tly, a component-coupled method was developed for predicting protein struct
ural class according to amino acid composition. This method is based on the
least Mahalanobis distance principle, and yields much better predicted res
ults in comparison with the previous methods. However, the success rates re
ported for structural class prediction by different investigators are contr
adictory. The highest reported accuracies by this method are near 100%, but
the lowest one is only about 60%. The goal of this study is to resolve thi
s paradox and to determine the possible upper limit of prediction rate for
structural classes. In this paper, based on the normality assumption and th
e Bayes decision rule for minimum error, a new method is proposed for predi
cting the structural class of a protein according to its amino acid composi
tion. The detailed theoretical analysis indicates that if the four protein
folding classes are governed by the normal distributions, the present metho
d will yield the optimum predictive result in a statistical sense. A non-re
dundant data set of 1,189 protein domains is used to evaluate the performan
ce of the new method, Our results demonstrate that 60% correctness is the u
pper limit for a 4-type class prediction from amino acid composition alone
for an unknown query protein. The apparent relatively high accuracy level (
more than 90%) attained in the previous studies was due to the preselection
of test sets, which may not be adequately representative of all unrelated
proteins. Proteins 2000;38:165-175, (C) 2000 Wiley-Liss, Inc.