The mixtures of factor analyzers are able to model complex data structures through a combination of the factor analysis model and the Gaussian mixture model.In this paper

a resampling method for the mixtures of factor analyzers is proposed.After approximating the probability distribution density of the data by the Gaussian mixture model

we draw new samples for each of the component Gaussians with its own parameters separately

then on the new samples the factor analysis is performed for each component Gaussians.We also implement this method with the EM algorithm and the good performance of the method is illustrated by an example.