In this article we consider a lattice system of unbounded continuous spins. Otto and Reznikoff used the two-scale approach to show that exponential decay of correlations yields a logarithmic Sobolev inequality (LSI) with uniform constant in the system size. We improve their statement by weakening the assumptions, for which a more detailed analysis based on two new ingredients is needed. The two...

This paper examined various factors affecting linking accuracy of the augmented tests containing both common assessments and state-specific item sets in the context of the Common Core State Standards (CCSS). Linking was conducted using the common-item nonequivalent groups design with pseudo and simulated data. The factors included group ability differences, differential effect sizes, latent-tra...