Sentence examples for using the robust variance from inspiring English sources

Standard errors were estimated using the robust variance estimator (Barlow 1994; Barlow et al. 1999).

Standard errors were estimated using the robust variance estimator proposed by Barlow (Barlow 1994; Barlow et al. 1999).

Standard errors were estimated for each imputed dataset using the robust variance estimator [ 16], as there was evidence of heteroskedacity (see Results).

Usual assumptions of linear regression will be tested (including linearity, independence, constant variance and normality), with variations from normality adjusted for using the robust variance estimator.

It is possible to improve the situation using the robust variance estimates proposed by Lin & Wei [ 19], similar to other robust sandwich estimators proposed for parametric models, such as Huber's sandwich estimator [ 20].

HRs were calculated with Cox proportional hazards regression weighted by the inverse of the sampling fractions to account for stratified sampling, and 95% confidence intervals were calculated using the robust variance estimator recommended for case cohort analysis [24].

Because the residuals of these multiple regression models were right skewed, we used the robust variance for statistical inference (Huber 1967; White 1980).

24 We report intracluster (intracommunity organisation) correlation coefficients (ICC) from the marginal model using GEE with assumed exchangeable correlation structure and robust SEs. 25 In cases where an ICC<0 was detected, we assumed a correlation structure of independence, but still used the robust variance estimator.

Unadjusted estimates of the relative risk quantifying the cross-sectional relationship between hormones, divided into quartiles, and outcomes were generated with the modified Poisson regression approach, which uses the robust variance estimator to avoid bias in interval estimation and corresponding significance tests (25).

Initially, conventional cohort analyses were made, treating all siblings as individuals while correcting the standard errors using the robust sandwich variance estimator to take the interdependence between siblings into account.

Noise-robust feature extraction method for speech recognition using the robust perceptual minimum variance distortionless response (MVDR) spectrum of temporally filtered autocorrelation sequence is proposed in Seyedin et al. [32] which has improved speech recognition rate.