Through several rounds of enrichment for the most informative biomarkers, driven by the assessment of bootstrap errors for the model development sample set, a 7-analyte model evolved, consisting of CA-125, EGF-R, C-reactive protein, apolipoproteins CIII and A1, IL-18 and tenascin C.
Analytic standard errors are shown for the fixed effects and random effects models, with bootstrap errors for random effects and random effects bias correction models based on 1,000 replications.
The bootstrapping error for the non-recurring and the loco-regionally recurring groups were low (N = 34,.632 error = 0.03 and N = 10,. 632 error = 0.3 respectively) but not in the metastatic tumor group (N = 4,. 632 error = 1).
The statistical differences in outcome indicators between members and non-members were measured by the bootstrap standard errors for the matched sample (100 replications) in regression analysis (Rosenbaum & Rubin, 1983 , 1985 Rubin, 1977).
The 0.632 bootstrap estimator is obtained by averaging the errors of classifiers designed from points drawn with replacement and then taking a convex combination of this "zero bootstrap" error with the resubstitution error for the designed classifier.
The bootstrap and robust standard errors for the time and group coefficients are different, although the bootstrap SE estimate tends to be the same size or somewhat smaller than its robust counterpart.
Statistical assessment for PLS is done using permutation tests for the LVs and bootstrap estimation of standard errors for the voxel saliences.
In the supplementary web-page (see Additional file 1), we also report our estimates and bootstrap error bounds for all origin-destination city pairs for which at least 1,000 inter-observation times were available.
The OOB and external bootstrap errors, and their standard deviations, were tabulated for each of these models.
Asymmetric distributions were compared with the help of quantile regression with bootstrapped standard errors (for take into account the design of the study).
The models used random effects to account for multiple estimates coming from the same study (and also to account for multiple studies coming from the same country), and also used 50 bootstrap repetitions to obtain more robust standard errors for the resulting coefficients.
