Fisher has presented various applications of the repeated integral of the normal distribution function. A new application has appeared in shape distributions. This work has led to the search for an explicit expression for the repeated normal integral function in place of an infinite series...

There are many statistics which can be used to characterize data sets and provide valuable information regarding the data distribution, even for large samples. Traditional measures, such as skewness and kurtosis, mentioned in introductory statistics courses, are rarely applied. A variety of...

A two-sample version of the non-parametric index of tracking for longitudinal data introduced by Foulkes and Davis is described. The index is based on a multivariate U -statistic, and provides a measure of the stochastic ordering of the underlying growth curves of the samples. The utility of the...

The present investigation involved the estimation of the general combining ability of CDC plans subject to the unavailability of one block for Griffing's system IV. Further, it has been shown that CDC plans are fairly robust to the unavailability of one block.

Staggered nested experimental designs are the most popular class of unbalanced nested designs. Using a special notation which covers the particular structure of the staggered nested design, this paper systematically derives the canonical form for the arbitrary m-factors. Under the normality...

High-yield production processes that involve a low fraction non-conforming are becoming more common, and the limitations of the standard control charting procedures for such processes are well known. This paper examines the control procedures based on the conforming unit run lengths applied to...

This paper studies the application of genetic algorithms to the construction of exact D-optimal experimental designs. The concept of genetic algorithms is introduced in the general context of the problem of finding optimal designs. The algorithm is then applied specifically to finding exact...

This paper examines the consequences of requiring that data measured as multiples of a half should be reported as integers. General formulae are given for the mean and variance of rounded values. The formulae are applied in the context of fibre counting, where fibres that overlap a boundary are...

In this paper we outline and illustrate an easy-to-use inference procedure for directly calculating the approximate bootstrap percentile-type p-value for the one-sample median test, i.e. we calculate the bootstrap p -value without resampling, by using a fractional order statistics based...

A number of models have been examined for modelling probability based on rankings. Most prominent among these are the gamma and normal probability models. The accuracy of these models in predicting the outcomes of horse races is investigated in this paper. The parameters of these models are...