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In order to check the coverage of this cut-off at plausible values other than (hat {boldsymbol {pi }}), we chose ten other points at random from the 95%% confidence set, and evaluated the coverage of the confidence set at these π's using the above values of m, n, and c ∗; the coverages were 94,92,94,92,94,93,95,93,95,92%%, which is reassuring.
This also ensured that standard deviations of the coverage of the confidence interval and the empirical power not exceed 1.6%.
The analysis revealed that the novel approach outperforms the standard method in terms of (i) precision, (ii) deviation from the truth and (iii) coverage of the confidence intervals.
The true coverage of the confidence intervals is in general low and decreases with correlation, number of events and, surprisingly, with sample size.
Dr. PWS was a member of the dissertation committee and assisted in formulating the proof of simultaneous coverage of the confidence regions and in final editing.
In practice, we observe a somewhat higher type I error rate of 9% (i.e., a marginally enlarged coverage of the confidence interval).
Similar(51)
The table shows the average number of trees (for 100 simulations) in the 95% confidence sets of GLS, WLS, SH and ELW out of 100 trees constructed for simulated 10-, 15- and 20-taxon sequences and the coverage of this confidence sets for GLS and WLS (the frequency in which the confidence set included the true tree).
Table 3 shows the coverage of these confidence intervals.
Our simulation study shows that, for sib-pair data, even when the coverage probability of the confidence set is chosen to be as high as 99%, our approach is able to implicate only the markers that are closely linked to the disease genes.
where the constant c depends on the number of observations and the coverage probability of the confidence interval.
The coverage probabilities of the confidence intervals for b0, b1 and θ are close to the nominal level 95%.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com