Confidence interval of percentiles in skewed distribution

Quality indicators (QI) based on percentiles are widely used for managing quality in laboratory medicine nowadays. Due to their statistical nature, their estimation is affected by sampling so they should be always presented together with the confidence interval (CI). Since no methodological recommen...

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Permalink: http://skupni.nsk.hr/Record/nsk.NSK01001068965/Details
Matična publikacija: Biochemia medica (Online)
29 (2019), 3 ; str. 471-482
Glavni autor: Ialongo, Cristiano (Author)
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.11613/BM.2019.030101
Biochemia medica (Online)
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024 7 |2 doi  |a 10.11613/BM.2019.030101 
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041 0 |a eng  |b eng 
042 |a croatica 
044 |a ci  |c hr 
080 1 |a 61  |2 2011 
080 1 |a 311  |2 2011 
100 1 |a Ialongo, Cristiano  |4 aut 
245 1 0 |a Confidence interval of percentiles in skewed distribution  |h [Elektronička građa] :  |b the importance of the actual coverage probability in practical quality applications for laboratory medicine /  |c Cristiano Ialongo. 
300 |b Graf. prikazi. 
504 |a Bibliografija: 18 jed. 
504 |a Summary. 
520 |a Quality indicators (QI) based on percentiles are widely used for managing quality in laboratory medicine nowadays. Due to their statistical nature, their estimation is affected by sampling so they should be always presented together with the confidence interval (CI). Since no methodological recommendation has been issued to date, our aim was investigating the suitability of the parametric method (LP-CI), the non-parametric binomial (NP-CI) and bootstrap (BCa-CI) procedures for the CI estimation of 2.5th, 25th, 50th, 75th and 97.5th percentile in skewed sets of data.Materials and methods: Skewness was reproduced by numeric simulation of a lognormal distribution in order to have samples with different right-tailing (moderate, heavy and very heavy) and size (20, 60 and 120). Performance was assessed with respect to the actual coverage probability (ACP, accuracy) against the confidence level of 1-α with α = 0.5, and the median interval length (MIL, precision).Results: The parametric method was accurate for sample size N ≥ 20 whereas both NP-CI and BCa-CI required N ≥ 60. However, for extreme percentiles of heavily right-tailed data, the required sample size increased to 60 and 120 units respectively. A case study also demonstrated the possibility to estimate the ACP from a single sample of real-life laboratory data.Conclusions: No method should be applied blindly to the estimation of CI, especially in small-sized and skewed samples. To this end, the accuracy of the method should be investigated through a numeric simulation that reproduces the same conditions of the real-life sample. 
653 0 |a Laboratorijska medicina  |a Zdravstvena zaštita  |a Kvaliteta zdravstvene zaštite  |a Biostatistika  |a Statistička analiza 
773 0 |t Biochemia medica (Online)  |x 1846-7482  |g 29 (2019), 3 ; str. 471-482  |w nsk.(HR-ZaNSK)000655372 
981 |b Be2019  |b B04/19 
998 |b dalo2009 
856 4 0 |u https://doi.org/10.11613/BM.2019.030101 
856 4 0 |u https://www.biochemia-medica.com/en/journal/29/3/10.11613/BM.2019.030101  |y Biochemia medica (Online) 
856 4 1 |y Digitalna.nsk.hr 
856 4 0 |u https://hrcak.srce.hr/226441  |y Hrčak