This paper compares the exact small-sample achieved coverage and expected lengths of fivemethods for computing the confidence interval of the difference of two independent binomial proportions.We strongly recommend that one of these be used in practice. The first method we compare is an asymptotic method based on the score statistic (AS) as proposed by Miettinen and Nurminen [1985. Comparative ...

BANERJEE AND WELLNER (2001) introduced and studied the likelihood ratio statistic for testing the hypothesis that a monotone function takes on a fixed value at a fixed point in the context of estimating the distribution function of the survival time in the interval censoring model. In this paper we continue to use the interval censoring model as a simple "test problem" . We introduce three natu...

conclusions prevalence of speech and language delay is high (27%) in children less than three years of age attending the under-five clinic for at-risk children. negative home environment and family history of speech and language disorders are significant risk factors for speech and language delay. the strong association of speech delay with delay in tdsc reemphasizes the need for a complete dev...

The c statistic, or area under the receiver operating characteristic (ROC) curve, achieved popularity in diagnostic testing, in which the test characteristics of sensitivity and specificity are relevant to discriminating diseased versus nondiseased patients. The c statistic, however, may not be optimal in assessing models that predict future risk or stratify individuals into risk categories. In...

The parametric bootstrap tests and the asymptotic or approximate tests for detecting difference of two Poisson means are compared. The test statistics used are the Wald statistics with and without log-transformation, the Cox F statistic and the likelihood ratio statistic. It is found that the type I error rate of an asymptotic/approximate test may deviate too much from the nominal significance ...

In this paper, we derive higher order Edgeworth expansions for the finite sample distributions of the subsampling-based t-statistic and the Wald statistic in the Gaussian location model under the so-called fixed-smoothing paradigm. In particular, we show that the error of asymptotic approximation is at the order of the reciprocal of the sample size and obtain explicit forms for the leading erro...

This paper describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function (cdf). Our results are built on extensions of previous work by Cheng and Iles (1983, 1988). Cheng and Iles use Wald statistics with (expected) Fisher information and provide different approaches to find one-sided and two-sided simultaneous confiden...

The c statistic, or area under the receiver operating characteristic (ROC) curve, achieved popularity in diagnostic testing, in which the test characteristics of sensitivity and specificity are relevant to discriminating diseased versus nondiseased patients. The c statistic, however, may not be optimal in assessing models that predict future risk or stratify individuals into risk categories. In...

Kendall and Gehan estimating functions are used to estimate the regression parameter in accelerated failure time (AFT) model with censored observations. The accelerated failure time model is the preferred survival analysis method because it maintains a consistent association between the covariate and the survival time. The jackknife empirical likelihood method is used because it overcomes compu...

In the article the logistic regression modeling method was proposed to evaluate the innovativeness of 207 inquired enterprises of Lublin Region. Single and multiequation models describing the process of introduction in 2002 and the plans of introduction in 2003 of the technological, organizational and product innovations were built. Checked with many indicators (Pearson chi – squared statistic,...