Confidence Limits


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Confidence Limits

 

Confidence limits for an unknown value of the parameter θ, which correspond to the given coefficient of confidence p, are the functions θ1,(ξ1, ξ2 … , ξn) and θ2,(ξ1, ξ2 … , ξn) of the observations ξ1, ξ2 … , ξnsuch that for any “permissible” probability distribution, the inequalities

θ1,(ξ1, ξ2 … , ξn) ≤ θ ≤ θ2 θ2,(ξ1, ξ2 … , ξn)

are realized with a probability of not less than P (and, consequently, are violated with a probability of not greater than 1 - P).

References in periodicals archive ?
In this study the sample size determination for the calculation of reference intervals and confidence limits was constructed for the situation of regression analysis, assuming a gaussian distribution.
a) Poisson regression adjusting for log age with likelihood ratio confidence limits, 10-year exposure log.
On the basis of the present results, the calculated frequency of homozygotes in the Finnish population would be 1:147000 (95% confidence limits, 1:56000-1:1 004 000), which is lower than the range of MCAD deficiency from 1:6 400 to 1:18 800 reported in several studies among non-Finnish Caucasians [2-5].
We calculated the likelihood ratio-based confidence limits using the profile likelihood method (23), a general approach for calculating confidence limits for parameters such as the BMD that are defined in terms of more basic parameters.
The 95% confidence limits for each method were calculated from the precision data for routine quality-control materials tested by each laboratory.
This value is significantly higher than the minimum detectable concentration defined at the confidence limit of 95% for the calibration zero (i.
Regression analysis performed by the method of Passing and Bablok [25] was used for the method comparison studies; 95% confidence limits for slope and intercept were calculated from the standard error of regression and used to determine concordance with the target values of 1.
UCS values were calculated by sample and the averages and confidence limits are presented by layer in Table 8.
The analyses shall include frequencies, weighted frequencies, and standard deviation of weighted frequencies, standard error of percent, 95% confidence limits for percent, row percent, standard error of row percent, and 95% confidence limits of row percent for multiple variables.
90], and 95% Confidence limits values) according to the methods described by Litchfield and Wilcoxon and Swaroop et al.
100224fl, the upper 95% confidence limits for the predicted average years of life lost (YLL) per capita were inadvertently changed to negative numbers.