Model selection using information criteria under a new estimation method: least squares ratio

In this study, we evaluate several forms of both Akaike-type and Information Complexity (ICOMP)-type information criteria, in the context of selecting an optimal subset least squares ratio (LSR) regression model. Our simulation studies are designed to mimic many characteristics present in real data – heavy tails, multicollinearity, redundant variables, and completely unnecessary variables. Our findings are that LSR in conjunction with one of the ICOMP criteria is very good at selecting the true model. Finally, we apply these methods to the familiar body fat data set.     

A novel Hybrid RBF Neural Networks model as a forecaster

We introduce a novel predictive statistical modeling technique called Hybrid Radial Basis Function Neural Networks (HRBF-NN) as a forecaster. HRBF-NN is a flexible forecasting technique that integrates regression trees, ridge regression, with radial basis function (RBF) neural networks (NN). We develop a new computational procedure using model selection based on information-theoretic principles as the fitness function using the genetic algorithm (GA) to carry out subset selection of best predictors. Due to the dynamic and chaotic nature of the underlying stock market process, as is well known, the task of generating economically useful stock market forecasts is difficult, if not impossible. HRBF-NN is well suited for modeling complex non-linear relationships and dependencies between the stock indices. We propose HRBF-NN as our forecaster and a predictive modeling tool to study the daily movements of stock indices. We show numerical examples to determine a predictive relationship between the Istanbul Stock Exchange National 100 Index (ISE100) and seven other international stock market indices. We select the best subset of predictors by minimizing the information complexity (ICOMP) criterion as the fitness function within the GA. Using the best subset of variables we construct out-of-sample forecasts for the ISE100 index to determine the daily directional movements. Our results obtained demonstrate the utility and the flexibility of HRBF-NN as a clever predictive modeling tool for highly dependent and nonlinear data.     

A Novel Regression Approach: Least Squares Ratio

Regression Analysis (RA) is one of the frequently used tool for forecasting. The Ordinary Least Squares (OLS) Technique is the basic instrument of RA and there are many regression techniques based on OLS. This paper includes a new regression approach, called Least Squares Ratio (LSR), and comparison of OLS and LSR according to mean square errors of estimation of theoretical regression parameters (mse ß) and dependent value (mse y).     

Classification trees aided mixed regression model

This paper introduces a novel hybrid regression method (MixReg) combining two linear regression methods, ordinary least square (OLS) and least squares ratio (LSR) regression. LSR regression is a method to find the regression coefficients minimizing the sum of squared error rate while OLS minimizes the sum of squared error itself. The goal of this study is to combine two methods in a way that the proposed method superior both OLS and LSR regression methods in terms of R² statistics and relative error rate. Applications of MixReg, on both simulated and real data, show that MixReg method outperforms both OLS and LSR regression.     

Individual differences as antecedents of leader behavior: Towards an understanding of multi-level outcomes

The leadership research on individual differences is going through a period of revival. However, due to the substantial number of variables in this area and the different knowledge bases they are associated with (e.g., psychology, endocrinology, genetics), the literature is also becoming highly fragmented as it grows. This fragmentation is preventing different literature streams from effectively communicating with each other and synthesizing the rapidly expanding body of knowledge. Consequently, the continued growth of the individual differences literature is at risk. Therefore, we believe that classifying the relevant literature streams and reviewing the key variables in those streams will be beneficial. We do so by organizing this review and research agenda of the leadership literature on individual differences around the recent model developed by Antonakis, Day, and Schyns (2012). In doing so, we hope to unify some of the future research efforts around a recent and recognized conceptual model, and in turn facilitate communication between these different streams of literature. Moreover, insights from this literature also allow us to propose additions and refinements to the model of Antonakis, Day, and Schyns (2012) that may help scholars by indicating other fruitful areas for future research on individual differences.