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t ≥ 0. Repeating estimates in (i) by (2.8)', we can obtain that there exists a positive constant M 1 ′ depending on d i, a i, b ij (i, j = 1, 2) and the L1, L2-norm of u0, v0, such that ∫ 0 1 u 2 d x, ∫ 0 1 v 2 d x ≤ M 1 ′, t ≥ 0. (2.9a).
When d ≥ 1, M1 is independent of d because the zero point of the right-hand side in (2.11) can be estimated by positive constants independent of d. (ii) t ≥ 0. Repeating estimates in (i) by (2.8)', we can obtain that there exists a positive constant M 1 ′ depending on d i, a i, b ij (i, j = 1, 2) and the L1, L2-norm of u0, v0, such that ∫ 0 1 u 2 d x, ∫ 0 1 v 2 d x ≤ M 1 ′, t ≥ 0. (2.9a) .
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The repeated estimates showed a good repeatability (Spearman's rs = 0.82) and the Passing-Bablok test showed a high degree of reproducibility (intercept = 0, slope = 1; Fig 2), the 95% confidence intervals overlap with the regression line in the graph.
Assessment of copy number was repeated at least twice for all isolates and the repeatability coefficient determined as 0.30 (viz 95% of repeated estimates of pvmdr1 copy number were within 0.15 of the first).
With 12 subjects we evaluated the accuracy and precision of repeated estimates of TA.
This precision or reproducibility is often referred to as the coefficient of error of the estimate, which is a statistical expression for the size of the standard error of the mean of repeated estimates, relative to the mean of the estimates.
Previous studies have shown that the variance of repeated estimates of a single bead is much less than the variance among beads (Koella, unpublished).
What is required are repeated estimates of variance components over the adult lifetime of individuals.
The aim was to approximate the parameters' estimates based on the empirical distribution of the repeated estimates.
Mediation analyses involved the nonparametric re-sampling of the dataset to make repeated estimates (10,000 times) using the PROCESS macro in SAS 9.3.
Table 5 summarizes the means and standard deviations of 1,000 repeated estimates of the disequilibrium coefficients and the corresponding LOD scores.
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CEO of Professional Science Editing for Scientists @ prosciediting.com