统计
点估计
差异(会计)
数学
置信区间
区间估计
计量经济学
功能(生物学)
平方(代数)
转化(遗传学)
估计
系列(地层学)
泰勒级数
点(几何)
方差分析
应用数学
计算机科学
数学分析
会计
基因
业务
生物
古生物学
进化生物学
经济
化学
管理
生物化学
几何学
作者
Olli S. Miettinen,Markku Nurminen
标识
DOI:10.1002/sim.4780040211
摘要
In this paper, we examine comparative analysis of rates with a view to each of the usual comparative parameters-rate difference (RD), rate ratio (RR) and odds ratio (OR)-and with particular reference to first principles. For RD and RR we show the prevailing statistical practices to be rather poor. We stress the need for restricted estimation of variance in the chi-square function underlying interval estimation (and also point estimation and hypothesis testing). For RR analysis we propose a chi-square formulation analogous to that for RD and, thus, one which obviates the present practice of log transformation and its associated use of Taylor series approximation of the variance. As for OR analysis, we emphasize that the chi-square function, introduced by Cornfield for unstratified data, and extended by Gart to the case of stratified analysis, is based on the efficient score and thus embodies its optimality properties. We provide simulation results to evince the better performance of the proposed (parameter-constrained) procedures over the traditional ones.
科研通智能强力驱动
Strongly Powered by AbleSci AI