The recent psycholinguistic-sociolinguistic trend in foreign language teaching indicates a shift of interest away from quantitative data towards qualitative information of different kinds. Validity and relevance are stressed and so new test formats are demanded, as well as new methods of dealing with student answers. Item analysis techniques used…

This paper presents a new method for estimating a given latent trait variable by the least-squares approach. The beta weights are obtained recursively with the help of Fourier series and expressed as functions of item parameters of response curves. The values of the latent trait variable estimated by this method and by maximum likelihood method…