In simple least squares regression, formal choice of one of two candidate independent variables (IVs) may be done using a test due to Harold Hotelling. The null hypothesis is that each of the two candidate independent variables is equally correlated with the dependent. In this paper, Hotelling's...

Ambiguity surrounds any importance measure in cases in which predictor variables are correlated. However, a new measure is proposed that has attractive properties, such as providing individual contributions that are both non-negative and sum to R2. The new measure is compared with four other...

This empirical study investigates the ability of exchange-traded funds (ETFs) to replicate the risk-return characteristics of their respective benchmarks accurately. By decomposing ex-post tracking performance, this study finds that the commonly used measure, tracking error, rarely sufficiently...

We present a Bayesian change point multiple regression methodology which simultaneously estimates the location of change points/regimes, the corresponding subset of independent variables per regime, as well as the associated regimes' regression parameters. Unlike existing switching multiple...