The Malmquist productivity index has many attractive features. One is
that it can be epxressed as the product of a technical efficiency chan
ge index and a technical change index. In this paper we express the te
chnical change index as the product of a magnitude index and a bias in
dex. We then express the bias index as the product of an output bias i
ndex and an input bias index, and we state conditions under which each
bias index makes no contribution to productivity change.