Preview

Radiatsionnaya Gygiena = Radiation Hygiene

Advanced search

Application of the β-substitution method for analyzing censored data on indoor radon concentrations

https://doi.org/10.21514/1998-426X-2019-12-4-47-55

Abstract

When analyzing the results of radon surveys, there could be an issue with measurements that are below the limit of detection (LOD) of the measurement technique used. This issue is usually referred to as the management of left-censored data. The paper presents the results of the practical application of one the most accurate and easy to calculate methods for analyzing censored data – the β-substitution method – to the analysis of an indoor radon concentrations dataset. The results of the radon survey conducted in the framework of the regional program “Radon” in Krasnoselskiy district of St. Petersburg in 2000 have been used as the test dataset. It is shown that inappropriate approaches to the management of the censored data, such as discarding the censored values or substituting them with the LOD value, can lead to considerably biased estimates of parameters or statistics of the resulting distributions. Further, this could result in an overestimation of doses and risk estimates which are based on the median values. The visual and quantitative analysis of Q-Q plots leads to conclusion that the estimated parameters of the distribution after the application of the β-substitution method are characterized by a minimum bias. The applied β-substitution method could be recommended for use as an element in the procedure of analyzing the results of radon surveys to minimize the bias of the estimates of the parameters of the radon concentration distributions alongside with Q-Q plots used to verify the conformity of radon concentrations with a lognormal distribution.

About the Author

Dmitry V. Kononenko
Saint-Petersburg Research Institute of Radiation Hygiene after Professor P.V. Ramzaev, Federal Service for Surveillance on Consumer Rights Protection and Human Well-Being
Russian Federation

Researcher

Mira str., 8, Saint-Petersburg, 197101



References

1. Marennyy A.M., Kiseleva M.E., Nefedov N.A., Sutiagina G.I., Karl L.E. Survey of buildings in the city Lesnoy on the indoor radon concentration. Radiatsionnaya Gygiena = Radiation Hygiene. 2018;11(3):92–106. (In Russian)

2. Onishchenko A.D., Vasilyev A.V., Malinovsky G.P., Zhukovsky M.V. Influence of building features on radon accumulation in kindergartens of the Sverdlovsk region. Radiatsionnaya Gygiena = Radiation Hygiene. 2018;11(2):28–36. (In Russian)

3. Romanovich I.K., Stamat I.P., Kormanovskaya T.A., Balabina T.A., Koroleva N.A., Istorik O.A., Eremina L.A. Results of sampling analysis of radon content in preschool and school organizations in the Leningrad region. Zdorovye naseleniya i sreda obitaniya = Public Health and Life Environment. 2017;10(295):46–9. (In Russian)

4. Potseluev N.Y., Saldan I.P., Balandovich B.A., Okolelova O.V., Filippova S.P. Annual individual hygienic assessment of natural exposure doses of the Altai territory model areas population. Radiatsionnaya Gygiena = Radiation Hygiene. 2016;9(3):28–35. (In Russian)

5. Marennyy A.M., Romanov V.V., Astafurov V.I., Gubin A.T., Kiselev S.M., Nefedov N.A., Penesev A.V. Survey for indoor radon in dwellings on the territories supervised by FMBA of Russia. Radiatsionnaya Gygiena = Radiation Hygiene. 2015;8(1):23–9. (In Russian)

6. Marennyi A.M., Kiselev S.M., Titov A.V., Zolotukhina S.B., Astafurov V.I., Dmitriev V.A., Zhuravleva L.A., Marennyi M.A., Nefedov N.A., Penezev A.V., Khokhlova E.A. Survey in Krasnokamensk city on the content of indoor radon. Radiatsionnaya Gygiena = Radiation Hygiene. 2013;6(3):47–52. (In Russian)

7. Longtin J.P. Occurrence of Radon, Radium, and Uranium in Groundwater. J Am Water Works Assoc. 1988 Jul;80(7):84–93.

8. Hecht H., Honikel K.O. Assessment of data sets containing a considerable number of values below the detection limits. Z Lebensm Unters Forsch. 1995 Dec;201(6):592–7.

9. Vlachonikolis I.G., Marriott F.H. Evaluation of censored contamination data. Food Addit Contam. 1995 Sep-Oct;12(5):637–44.

10. Dubner P.N. English-Russian glossary on statistics: basic concepts. – Available from: http://masters.donntu.org/2002/fvti/spivak/library/book2/book2.htm (Accessed: 16.06.2019) (In Russian)

11. Sources and Effects of Ionizing Radiation. UNSCEAR 2000 Report to the General Assembly, with Scientific Annexes. Volume I: Sources. Annex B: Exposures from natural radiation sources. New York: United Nations; 2000, 76 p. ISBN 92-1-142238-8.

12. Effects of Ionizing Radiation. UNSCEAR 2006 Report to the General Assembly with Scientific Annexes. Volume II: Scientific Annexes C, D and E. Annex E: Sources-to-effects assessment for radon in homes and workplaces. New York: United Nations; 2009, 142 p. ISBN 978-92-1-142270-2.

13. Kononenko D.V. Analysis of distributions of indoor radon concentrations in the regions of the Russian Federation. Radiatsionnaya Gygiena = Radiation Hygiene. 2019;12(1):85–103. (In Russian)

14. Kononenko D.V., Kormanovskaya T.A. Typical mistakes made by users while entering indoor radon measurements results into the laboratory database “FF-4”. In: Current issues of radiation hygiene. Materials of the international scientific and practical conference; 2018 Oct 23-24; St.Petersburg, Russia. St.Petersburg; 2018, pp. 176–178. (In Russian)

15. Barry T.M., Brattin W.J. Distribution of Radon-222 In Community Groundwater Systems: Analysis of Type I LeftCensored Data with Single Censoring Point. Hum Ecol Risk Assess. 1998;4(2):579–603.

16. Burmaster D.E., Wilson A.M. Fitting second-order finite mixture models to data with many censored values using maximum likelihood estimation. Risk Anal. 2000 Apr;20(2):261–71.

17. European Food Safety Authority. Management of left-censored data in dietary exposure assessment of chemical substances. Scientific report of EFSA. EFSA Journal 2010 Jun;8(3):1557–653.

18. GEMS/Food-EURO Second Workshop on Reliable Evaluation of Low-Level Contamination of Food. Report on a Workshop in the Frame of GEMS/Food-EURO (with Addendum, January 2013); 1995 May 26-27; Kulmbach, Federal Republic of Germany, 10 p.

19. Hornung R.W., Reed L.D. Estimation of average concentration in the presence of nondetectable values. Appl Occup Environ Hyg. 1990;5(1):46–51.

20. Perkins J.L., Cutter G.N., Cleveland M.S. Estimating the mean, variance, and confidence limits from censored (<Limit of Detection), lognormally distributed exposure data. Am Ind Hyg Assoc J. 1990;51(8):416–19.

21. Finkelstein M.M., Verma D.K. Exposure estimation in the presence of nondetectable values: another look. AIHAJ. 2001 Mar-Apr;62(2):195–8.

22. Hewett P., Ganser G.H. A comparison of several methods for analyzing censored data. Ann Occup Hyg. 2007 Oct;51(7):611–32.

23. Sinha P., Lambert M.B., Trumbull V.L. Evaluation of statistical methods for left-censored environmental data with nonuniform detection limits. Environ Toxicol Chem. 2006 Sep;25(9):2533–40.

24. Schmoyer R.L., Beaucamp J.J., Brandt C.C., Hoffman F.O.Jr. Difficulties with the lognormal model in mean estimation and testing. Environ Ecol Stat. 1996 Mar;3(1):81–97.

25. She N. Analyzing censored water quality data using a nonparametric approach. J Am Water Res Assoc. 1997 Jun;33(3):615–24.

26. Busschaert P., Geeraerd A.H., Uyttendaele M., Van Impe J.F. Hierarchical Bayesian analysis of censored microbiological contamination data for use in risk assessment and mitigation. Food Microbiol. 2011 Jun;28(4):712–9.

27. Paulo M.J., van der Voet H., Jansen M.J., ter Braak C.J., van Klaveren J.D. Risk assessment of dietary exposure to pesticides using a Bayesian method. Pest Manag Sci. 2005 Aug;61(8):759–66.

28. Glass D.C., Gray C.N. Estimating mean exposures from censored data: exposure to benzene in the Australian petroleum industry. Ann Occup Hyg. 2001 Jun;45(4):275–82.

29. Ganser G.H., Hewett P. An accurate substitution method for analyzing censored data. J Occup Environ Hyg. 2010 Apr;7(4):233–44.

30. Huynh T., Ramachandran G., Banerjee S., Monteiro J., Stenzel M., Sandler D.P., Engel L.S., Kwok R.K., Blair A., Stewart P.A. Comparison of methods for analyzing left-censored occupational exposure data. Ann Occup Hyg. 2014 Nov;58(9):1126–42.

31. Huynh T., Quick H., Ramachandran G., Banerjee S., Stenzel M., Sandler D.P., Engel L.S., Kwok R.K., Blair A., Stewart P.A. A Comparison of the β-substitution method and a Bayesian method for analyzing left-censored data. Ann Occup Hyg. 2016 Jan;60(1):56–73.

32. Stamat I.P., Krisyuk E.M., Terentiev R.P., Koroleva N.A., Balabina T.A. Implementation of the regional program “Radon” (Pushkin and Krasnoselsky districts): Final report under Contract No. 24-02 dated 06.06.2000. St.Petersburg: SPbNIIRG, Ministry of Health; 2000, 69 p. (In Russian)

33. National and Regional Surveys of Radon Concentration in Dwellings. Review of Methodology and Measurement Techniques. IAEA Analytical Quality in Nuclear Applications Series no. 33 (IAEA/AQ/33). Vienna: International Atomic Energy Agency; 2013, 35 p. ISSN 2074-7659.

34. Kononenko D.V. A differentiated approach to the risk assessment from exposure to radon. Radiatsionnaya Gygiena = Radiation Hygiene. 2017;10(1):76–83. (In Russian)

35. Kononenko D.V., Kormanovskaya T.A. Risk assessment for the population of the regions of the Russian Federation from constant lifelong exposure to radon. Mediko-biologicheskie problemy zhiznedeyatelnosti = Medical and biological problems of life activity. 2019;1(21):56–61. (In Russian)

36. Radiation protection and safety of radiation sources: International basic safety standards. IAEA safety standards series no. GSR Part 3. Vienna: International Atomic Energy Agency; 2014, 436 p. ISSN 1020-525X.


Review

For citations:


Kononenko D.V. Application of the β-substitution method for analyzing censored data on indoor radon concentrations. Radiatsionnaya Gygiena = Radiation Hygiene. 2019;12(4):47-55. (In Russ.) https://doi.org/10.21514/1998-426X-2019-12-4-47-55

Views: 1020


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1998-426X (Print)
ISSN 2409-9082 (Online)