A likelihood approach to scaling examination marks

A likelihood approach to scaling examination marks

by J.D.Biggins and K.K. Yue

Austral. J. Statist. (1995) 37, 273-282.


One of the common approaches to the problem of scaling and combining examination marks has its roots in the least squares tradition. In this framework dealing with examiners' preconceptions about the transformations has to be done in an {\it ad hoc} way. Here we investigate a likelihood-based approach, thereby allowing preconceptions to be handled by standard Bayesian techniques. It turns out that the likelihood approach does not directly parallel the least squares one (essentially because a Jacobian must be included in the likelihood), but the device of introducing fictitious candidates to deal with prior beliefs in the least squares set-up can be understood in a Bayesian way.


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See also the closely related paper
Other publications by J.D. Biggins

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