A well known result is that the Gaussian log-likelihood can be expressed as the sum over different frequency components. This implies that the likelihood ratio statistic has a similar linear decomposition. We exploit these observations to devise diagnostic methods that are useful for...

Children’s lives have been transformed over the past century. Family incomes have increased, children lead more solitary lives, attitudes to childhood have changed, new products have been developed and commercial pressures on children have increased. The importance of these commercial...