Let Y be a binary random variable and X a scalar. Let β̂ be the maximum likelihood estimate of the slope in a logistic regression of Y on X with intercept. Further let x̄0 and x̄1 be the average of sample x values for cases with y = 0 and y = 1, respectively. Then under a condition that rules out separable predictors, we show that sign(β̂) = sign(x̄1− x̄0). More generally, if xi are vector valued the...

In the context of polytomous regression, as with any generalized linear model, robustness issues are well documented. Existing robust estimators designed to protect against misclassification, but do not outlying covariates. It is shown that this can have a much bigger impact on estimation and testing than misclassification alone. To address problem, two new introduced: model-type estimator an o...

This project deals with the estimation of Logistic Regression parameters. We first review the binary logistic regression model and the multinomial extension, including standard MAP parameter estimation with a Gaussian prior. We then turn to the case of Bayesian Logistic Regression under this same prior. We review the cannonical approach of performing Bayesian Probit Regression through auxiliary...

Logistic regression is one of the most widely applied machine learning tools in binary classification problems. Traditionally, inference of logistic models has focused on stepwise regression procedures which determine the predictor variables to be included in the model. Techniques that modify the log-likelihood by adding a continuous penalty function of the parameters have recently been used wh...

This article describes a new software for modeling correlated binary data based on orthogonalized residuals, a recently developed estimating equations approach that includes, as a special case, alternating logistic regressions. The software is flexible with respect to fitting in that the user can choose estimating equations for association models based on alternating logistic regressions or ort...

caesarean section (c-section) rates have been increasing dramatically in the past decades around the world. this increase has been attributed to multiple factors such as maternal, socio-demographic and institutional fac-tors. therefore, this study examines the impact of maternal, socio-demographic and relevant characteristics on caesar-ean delivery in the northern region of bangladesh.this stud...

in a structural time series regression model, binary variables have been used to quantify qualitative or categorical quantitative events such as politic and economic structural breaks, regions, age groups and etc. the use of the binary dummy variables is not reasonable because the effect of an event decreases (increases) gradually over time not at once. the simple and basic idea in this paper i...

چکیده شناسایی رقومی خاک ها بهعنوان ابزاری برای ایجاد اطلاعات مکانی خاک، راه حل هایی برای نیاز رو به افزایش نقشه های خاک با تفکیک مکانی بالا را تأمین می کند. بنابراین، باید روش های جدید بهمنظور بهدست آوردن اطلاعات مکانی خاک با تفکیک مکانی بالا توسعه پیدا کند. به همین منظور مطالعه ای جهت پیش بینی کلاس های خاک با استفاده از مدل های رگرسیونی در منطقه زرند کرمان طراحی گردید. در این مطالعه، مدل های ر...

Background: The oncologic behavior of mucinous adenocarcinoma (MA) of colorectal differs from non-mucinous adenocarcinoma (NMA). MA is more advanced at diagnosis and has a poorer prognosis than NMA. We aimed to evaluate prognostic factors and survival rate in patients with MA compared with NMA in Western Iran. Methods: During 2008-2015 in a retrospective study, 83 patients with CRC referred to...