Testing for collinearity continues to be a controversial issue in the literature. Multicollinearity detection criteria, such as variance inflation factor, often fail detect true extent of multicollinearity. In this article, we propose utilizing Bayesian approach an attractive alternative. Under approach, recommend comparing marginal posterior regression parameters under two different priors. If...

We provide a collinearity based elementary axiomatics of optimal quantifier complexity ∀∃∀∃ for the geometry inside a triangle and reprove that collinearity cannot be defined in terms of segment congruence, the metric being Hilbert’s projective metric. MSC 2000: 51F20, 51A30, 51A45, 51G05

Given a set S of n points, we show that the length of 1) the minimum weight triangulation (MWT ) of the minimum weight convex partition (MWCP ) of S (TMWCP ) is at most Θ(n) longer than the MWT of S if collinearity of two or more edges is allowed and Θ(log n) otherwise, 2) the MWT of the minimum spanning tree (MST ) of the MWCP of S (Tmst(MWCP )) is at most Θ(n) longer than the MWT of S if coll...

abstract In this paper we introduce certain numbers, called collinearity indices, which are useful in detecting near collinearities in regression problems. The coeecients enter adversely into formulas concerning signiicance testing and the eeects of errors in the regression variables. Thus they provide simple regression diagnostics, suitable for incorporation in regression packages.