In this paper, the results of some tests including the Chi-Square and the Diehard Battery tests of randomness on some pseudo random number generators are given. The generators were chosen for use in a Genetic Algorithm (GA) package called GAGENES, written in object-oriented C++. The influence of PRNG's on a GA is discussed briefly.

Box and Pierce (1970) proposed a test statistic TBP which is the squared sum of m sample autocorrelations of the estimated residual process of autoregressive-moving average model of order (p,q). TBP is called the classical portmanteau test. Under the null hypothesis that the autoregressive-moving average model of order (p,q) is adequate, they suggested that the distribution of TBP is approximat...

Standard statistical tests for equality of allele frequencies in males and females and tests for Hardy-Weinberg equilibrium are tightly linked by their assumptions. Tests for equality of allele frequencies assume Hardy-Weinberg equilibrium, whereas the usual chi-square or exact test for Hardy-Weinberg equilibrium assume equality of allele frequencies in the sexes. In this paper, we propose ways...

One of the most common questions about logistic regression is “How do I know if my model fits the data?” There are many approaches to answering this question, but they generally fall into two categories: measures of predictive power (like R-square) and goodness of fit tests (like the Pearson chi-square). This presentation looks first at R-square measures, arguing that the optional R-squares rep...

An iterative procedure is designed to accelerate the ‘spin-up’ of ensemble square-root filter (EnSRF) data-assimilation cycles when starting from a poor initial ensemble. Referred to as the iterative EnSRF (iEnSRF), this iterative procedure follows the ‘running in place’ (RIP) concept developed for the local ensemble transform Kalman filter (LETKF) but because of algorithm differences is implem...

The all-sky survey of Faraday rotation, a Key Science Project of the planned Square Kilometre Array, will accumulate tens of millions of rotation measure measurements toward background radio sources and will provide a unique database for characterizing the overall magnetic geometry of magnetic fields in galaxies and in the intergalactic medium. Deep imaging of the polarized synchrotron emission...