This paper derives the asymptotic distribution of normalized $k$ -th maximum order statistics a sequence non-central chi-square random variables with non-identical non-centrality parameters. We demonstrate utility these results in cha...

OBJECTIVE To evaluate the profile of children with central diabetes insipidus (DI) and identify factors indicating organic etiology. DESIGN Retrospective chart review. SETTING Tertiary referral hospital. SUBJECTS Fifty-nine children with central DI (40 boys, 19 girls). METHODS Features of organic and idiopathic central DI were compared using students t test and chi square test. Odds rat...

BACKGROUND We tested a new distance and pocket optotype chart for detection of nonorganic symmetrically decreased vision in simulated malingerers. The new optotype used in the charts is based on a subjective contour formed by a misalignment of two line segments. The minimum angle of resolution of this optotype is independent of its size. Subjects claiming to see only the larger optotypes are su...

We present a new method, the delta-centralization (DC) method, to correct for population stratification (PS) in case-control association studies. DC works well even when there is a lot of confounding due to PS. The latter causes overdispersion in the usual chi-square statistics which then have non-central chi-square distributions. Other methods approach the noncentrality indirectly, but we deal...