The Sign Statistic, One-Way Layouts and Mixture Models

Robust statistic for the one-way MANOVA

The Wilks’ Lambda Statistic (likelihood ratio test, LRT) is a commonly used tool for inference about the mean vectors of several multivariate normal populations. However, it is well known that the Wilks’ Lambda statistic which is based on the classical normal theory estimates of generalized dispersions, is extremely sensitive to the influence of outliers. A robust multivariate statistic for the...

Two-Way Grouping by One-Way Topic Models

We tackle the problem of new users or documents in collaborative filtering. Generalization over users by grouping them into user groups is beneficial when a rating is to be predicted for a relatively new document having only few observed ratings. The same applies for documents in the case of new users. We have shown earlier that if there are both new users and new documents, two-way generalizat...

Adaptively Denoising Discrete Two-way Layouts

The two-way layout with ordinal or nominal factors is a fundamental data-type that is widespread in the sciences, engineering, and informatics. The unrestricted least squares estimator for the means of a two-way layout is usually inadmissible under quadratic loss and the model of homoscedastic independent Gaussian errors. In statistical practice, this least squares estimator may be modified by ...

Two-way Gaussian mixture models for high dimensional classification

Mixture discriminant analysis (MDA) has gained applications in a wide range of engineering and scientific fields. In this paper, under the paradigm of MDA, we propose a two-way Gaussian mixture model for classifying high dimensional data. This model regularizes the mixture component means by dividing variables into groups and then constraining the parameters for the variables in the same group ...

The One-Way-Table