According to the central limit theorem, the means of a random sample of size, n, from a population with mean, µ, and variance, σ2, distribute normally with mean, µ, and variance, [Formula: see text]. Using the central limit theorem, a variety of parametric tests have been developed under assumptions about the parameters that determine the population probability distribution. Compared to non-par...

Nonhomogeneous Poisson processes (NHPPs) are often used to model recurrent events, and there is thus a need to check model fit for such models. We study the problem of obtaining exact goodness-of-fit tests for certain parametric NHPPs, using a method based on Monte Carlo simulation conditional on sufficient statistics. A closely related way of obtaining exact confidence intervals in parametri...

In this paper, I describe some of the main parametric and non-parametric tests used in event studies to assess the significance of abnormal returns or changes in variance of returns.

This paper analyzes bottled water expenditures data with zero observations by employing parametric and semiparametric models. The overall results of specification tests indicate that the semiparametric model outperforms the parametric model significantly.  2000 Elsevier Science S.A. All rights reserved.

We present a case study of a difficult real-world pattern recognition problem: predicting hard drive failure using attributes monitored internally by individual drives. We compare the performance of support vector machines (SVMs), unsupervised clustering, and non-parametric statistical tests (rank-sum and reverse arrangements). Somewhat surprisingly, the rank-sum method outperformed the other m...

New rank tests for interactions in factorial designs are presented and applied to some common factorial designs with repeated measures. The resulting p-values of these tests are compared, along with those obtained by parametric and randomization tests.

Methods Analytic descriptive study. 89 patients with diagnosis SLE (1986 ACR criteria) from a rheumatology center at a pediatric hospital were evaluated at the time of diagnosis and twelve months after. Medical records were reviewed registering the following variables: score SLEDAI, Antinuclear antibodies (ANAs), Anti-DNA antibodies and complement C3 and C4 levels. Analysis was done through par...

In this paper, we focus on the experimental analysis on the performance in cluster analysis with the use of nonparametric tests on the clustering task. Particularly, we have studied whether the sample of results from multiple trials obtained by conventional clustering algorithms checks the necessary conditions for being analyzed through parametrical tests. The study is conducted by considering ...

Parametric statistical methods are traditionally employed in functional magnetic resonance imaging (fMRI) for identifying areas in the brain that are active with a certain degree of statistical significance. These parametric methods, however, have two major drawbacks. First, it is assumed that the observed data are Gaussian distributed and independent; assumptions that generally are not valid f...

We develop a new test of a parametric model of a conditional mean function against a nonparametric alternative. The test adapts to the unknown smoothness of the alternative model and is uniformly consistent against alternatives whose distance from the parametric model converges to zero at the fastest possible rate. This rate is slower than n. Some existing tests have non-trivial power against r...