The frequently used approach to the comparison of two linear regression models is to use the partial F test. It is pointed out in this paper that the partial F test has in fact a naturally associated two-sided simultaneous confidence band, which is much more informative than the test itself. But...

Partial F tests play a central role in model selections in multiple linear regression models. This paper studies the partial F tests from the view point of simultaneous confidence bands. It first shows that there is a simultaneous confidence band associated naturally with a partial F test. This...

The Swedish social security system contains a mechanism referred to as an automatic balancing mechanism (ABM) that adjusts the rate credited to contributor accounts and the amount of increase in pensions in payment when liabilities exceed assets. The Swedish social security system also includes...

The analysis of repeated surveys can be approached using model-based inference, utilising the methods of time series analysis. On a long run of repeated surveys it should then be possible to enhance the estimation of a survey parameter. However, many repeated surveys that are suited to this...

A compositional time series is defined as multivariate time series in which each of the series has values bounded betweenzero and one and the sum of the series equals one at each time point. Data with such characteristics are observed in repeatedsurveys when a survey variable has a multinomial...

External auditors such as the National Audit Office (NAO) are the final arbiters on the level of error in accounts presented to them by their clients, and the accuracy or otherwise of individual transactions. In coming to a view on the level of error, they are expected to carry out the audit...

Short-term forecasts of air pollution levels in big cities are now reported in news-papers and other media outlets. Studies indicate that even short-term exposure to high levels of an air pollutant called atmospheric particulate matter can lead to long-term health effects. Data are typically...

Item response models are essential tools for analyzing results from many educational and psychological tests. Such models are used to quantify the probability of correct response as a function of unobserved examinee ability and other parameters explaining the difficulty and the discriminatory...

The aim of an experiment is often to enable discrimination between competing forms for a response model. We consider this problem when there are two competing generalized linear models (GLMs) for a binomial response. These models are assumed to have a common link function with the linear...

Local bifurcation theory typically deals with the response of a degenerate but isolated equilibrium state or periodic orbit of a dynamical system to perturbations controlled by one or more independent parameters, and characteristically uses tools from singularity theory. There are many...