Generalized linear models (GLMs) allow for a wide range of statistical models for regression data. In particular, the logistic model is usually applied for binomial observations. Canonical links for GLM's such as the logit link in the binomial case, are often used because in this case minimal suucient statistics for the regression parameter exist which allow for simple interpretation of the res...

Generalized linear models (GLMs) allow for a wide range of statistical models for regression data. In particular, the logistic model is usually applied for binomial observations. Canonical links for GLM's such as the logit link in the binomial case, are often used because in this case minimal suucient statistics for the regression parameter exist which allow for simple interpretation of the res...

objective: to evaluate the symptoms of menopausal women and the link between sexual function, menopausal symptoms and demographic variables. materials and methods: this is a cross-sectional study in which 202 postmenopausal women admitted to the health care centers were selected. the female sexual function index (fsfi) questionnaire and menopause-specific quality of life (menqol) were the main ...

A critical issue in modelling binary response data is the choice of the links. We introduce a new link based on the Student t-distribution (t-link) for correlated binary data. The t-link relates to the common probit-normal link adding one additional parameter which purely controls the heaviness of the tails of the link. We propose an interesting EM algorithm for computing the maximum likelihood...

background: type 1 diabetes (t1d) is a t cell mediated autoimmune disease targeting the insulin-producing β cells within pancreatic islets. autoimmune diseases may develop as a consequence of altered balance between regulatory (tregs) and autoreactive t cells. objectives: to evaluate treg cells frequency and suppressive function in the peripheral blood of newly diagnosed t1d patients in compari...

Proof. The proof is based on a similar idea as in the proof of Theorem 3.1 in [2]: if we modify the link weights so that a competitive link becomes part of the optimal path and thus must be used most of the time by any good algorithm, then this link must be used sufficiently often (Ω(log T ) in T steps) by the same algorithm under the original link weights because we do not know which weight co...

In this paper we study goodness-of-fit testing of single-index models. The large sample behavior of certain score-type test statistics is investigated. As a by-product, we obtain asymptotically distribution-free maximin tests for a large class of local alternatives. Furthermore, characteristic function based goodness-of-fit tests are proposed which are omnibus and able to detect peak alternativ...