During the drug development, nonlinear mixed effects models are routinely used to study the drug’s pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest because it allows to describe the heterogeneity of the drug’s kinetics or dynamics in the population of individuals studied. Parametric models are widely used, but they rely on a normality assumption w...

We propose a nonparametric statistical test for goodness-of-fit: given a set of samples, the test determines how likely it is that these were generated from a target density function. The measure of goodness-of-fit is a divergence constructed via Stein’s method using functions from a Reproducing Kernel Hilbert Space. Our test statistic is based on an empirical estimate of this divergence, takin...

The encircled energy fraction and its quantiles, notably the half-energy width, are routinely used to characterize the quality of x-ray optical systems. They are, however, always quoted without a statistical error. We show how nonparametric statistical methods can be used to redress this situation, and we discuss how the knowledge of the statistical error can be used to speed up the characteriz...

Drop plate technique has a priority and preference compared with the spread plate procedure, because of less time, quantity of media, effort requirement, little incubator space, and less labor intensive. The objective of this research was to compare the accuracy and fidelity of drop plate method vs. spread plate method by parametric and nonparametric statistical tests. For bacterial enumeration...

Information processing in animals and artificial movement systems consists of a series of transformations that map sensory signals to intermediate representations, and finally to motor commands. Given the physical and neuroanatomical differences between individuals and the need for plasticity during development, it is highly likely that such transformations are learned rather than pre-programme...

Landscape classification and hydrological regionalisation studies are being increasingly used in ecohydrology to aid in the management and research of aquatic resources. We present a methodology for classifying hydrologic landscapes based on spatial environmental variables by employing non-parametric statistics and hybrid image classification. Our approach differed from previous classifications...

Building upon the statistical framework of causal inference, we consider classical approaches to statistical analysis of randomized experiments. The use of randomized experiments in scientific inquiry goes back at least to the 19th century, but formal statistical methods to analyze these experiments were developed in early 20th century by J. Neyman and R. Fisher. The methods they developed were...