For hypotheses of the type H0 : θ = θ0 vs H1 : θ 6= θ0 we demonstrate the equivalence of a Bayesian hypothesis test using a Bayes factor and the corresponding classical test, for a large class of models, which are detailed in the paper. In particular, we show that the role of the prior and critical region for the Bayes factor test is only to specify the type I error. This is their only role sin...

The proper description of numerical variables is very important when presenting a set of data. Measures of central tendency and dispersion are used to adequately understand a set of numerical variables. Knowledge of the properties of these measures and their adequate use provide the reader with a better understanding of the results of a study.

Vertically aligned carbon nanotubes (CNTs) were grown on Si substrates by radio frequency (RF) plasma enhanced chemical vapor deposition. We investigated plasma conditions suitable for CNT growth by measuring plasma parameters and observing optical emission spectrometry near the substrate. Comparison in plasma parameters was also made between a capacitively coupled plasma (CCP) and an inductive...

Personalized eye modeling of normal and diseased eye conditions is attractive due to the recent availability of detailed ocular measurements in clinic environments and the promise of its medical and industrial applications. In the customized modeling, the optical properties of the crystalline lens including the gradient refractive index, the lens bio-geometry and orientation are typically assig...

A bioequivalence study of two verapamil formulations (generic verapamil tablets and Isoptin(®) tablets) was performed by comparing pharmacokinetic parameters of the parent drug and its major metabolite, norverapamil following a single dose administration of 80 mg verapamil hydrochloride in 22 healthy volunteers according to a randomized, two-period, crossover-design study. Moreover, the feasibi...

We show how to make appropriate likelihood ratio tests for evolutionary tree models when parameters such as edge (internodes or branches) lengths have nonnegativity constraints. In such cases, under the null model of an edge length being zero, the marginal distribution of this parameter is proven to be a "half-normal", that is, 50% zero values and 50% the positive half of a normal distribution....