Sentence examples for generalized statistics from inspiring English sources

Currently, several researches exist on the subject of the application of a generalized statistics for magnetic systems in the literature [1, 2, 3].

The average Egyptians care more about food on their plates and education for their children (than other issues)." Jacques Charmelot questions generalized statistics (Abu-Fadil).

Initial evaluations of the deviance and Pearson chi-square generalized statistics from our Poisson models suggested overdispersion in our data (SAS Institute Inc. 1999).

Their work shows that likelihood-based methods such as the likelihood ratio (LR) test, score test, and tests based on the method of generalized statistics developed by Weerahandi [ 6], provide efficient procedures for comparing coefficient of variations (CV) in univariate normal populations or from independent samples.

On another side, in considering the several generalized statistical theories, the nonextensive statistical mechanics, also known as Tsallis statistics, is undoubtedly the most widely researched [16, 17, 18, 19, 20].

Specifically, it discusses statistical models of observed samples obeying generalized Gaussian statistics and relates the filtering problem to maximum likelihood estimation.

ROC AUCs were compared using the algorithm suggested by Delong et al. (21), which is a nonparametric approach to the analysis of areas under correlated ROC curves by using the theory on generalized U-statistics to generate an estimated covariance matrix.

For comparing correlated C-statistics, we used %roc SAS® macro [ 21] (a nonparametric approach based on generalized U-Statistics [ 22]).

This nonparametric method uses the theory of generalized U-statistics to calculate an estimated covariance matrix and hence it can also take into account the correlated nature of the data.

STATA version 9 (Stata Corporation, College Station, TX, USA) was used to assess the difference between the AUC values of two models on the basis of the χ test developed from the generalized U-statistics theory.

The general approach to assessing whether the difference in the areas under two ROC curves is to calculate generalized Z-statistics [ 18], which is described as following: (1) Z = A 1 − A 2 S E A 1 2 S E A 2 2 - 2 r S E A 1 S E A 2 where Ai and SE(Ai) (i=1,2) indicate the observed area and estimated standard error of Ai; and r represents the estimated correlation between A1 and A2.