We consider the problem of constructing a confidence interval for the intraclass correlation coefficient in an interrater reliability study when the raters are assumed to be randomly selected from a population of raters. A Monte Carlo simulation study is conducted to investigate the true coverage probabilities of the commonly used intervals proposed by Fleiss and Shrout, which rely on Satterthw...

The stochastic solution to a diffusion equations with polynomial coefficients is called a Pearson diffusion. If the first time derivative is replaced by a Caputo fractional derivative of order less than one, the stochastic solution is called a fractional Pearson diffusion. This paper develops an explicit formula for the covariance function of a fractional Pearson diffusion in steady state, in t...

A method is suggested for estimating the correlation of a naturally (X) and an artificially (Y) dichotomized variable. It is assumed that a normal random variable (L) underlies the artificially dichotomized variable. The proposed correlation coefficient recovers the product moment correlation coefficient between X and L from a fourfold table of X and Y. The suggested correlation coefficient nu ...

The quotient correlation is defined here as an alternative to Pearson’s correlation that is more intuitive and flexible in cases where the tail behavior of data is important. It measures nonlinear dependence where the regular correlation coefficient is generally not applicable. One of its most useful features is a test statistic that has high power when testing nonlinear dependence in cases whe...

This article investigates some unfamiliar properties of the Pearson product-moment correlation coefficient for the estimation of simple correlation coefficient. Although Pearson's r is biased, except for limited situations, and the minimum variance unbiased estimator has been proposed in the literature, researchers routinely employ the sample correlation coefficient in their practical applicati...

This study was intended to find out the relationship between self-control and Consumtive behavior in teenagers k-pop fans ONCE community Medan. The research subject used this were 100 at medan using purposive sampling technique. quantitative method, data collection 40-item of scale psychological consumtive scale. assumption test consisted normality linearity test. analyzed Pearson Product Momen...

To test whether electromyogram (EMG) is nonlinear deterministic signal or just random noise, we comprehensively analyze four EMGs of an adult woman. At first, we calculate the correlation time, L-Z complexity, approximate entropy (ApEn), maximum Lyapunov exponent (Ly1) and correlation dimension (Dcorr) of each EMG data and its ten surrogate data. We find that all the results are quite different...

This paper proposes large deviation optimal properties of the empirical likelihood testing (ELT) moment selection procedures for moment restriction models. Since the parameter spaces of the moment selection problem is discrete, the conventional Pitman-type local alternative approach is not very helpful. By applying the theory of large deviations, we analyze convergence rates of the error probab...

Methods Interferon gamma Elispot data was abstracted from patients enrolled in 3 clinical trials (n = 86) utilizing therapeutic vaccination targeting HER2/neu with long-term follow-up. A positive response/immunity was defined as a precursor frequency of greater than 1:20,000 or 50 interferon gamma corrected spots per well/10 peripheral blood mononuclear cells. Responses were evaluated at baseli...