Estimating the Mean of PM2.5 with Missing Data in the Area Around Electricity Generating Authority of Thailand Using the Improved Compromised Imputation Method

Main Article Content

Tanart Dachochaiporn
Kanisa Chodjuntug*

Abstract

Particulate matter with an aerodynamic diameter of less than 2.5 mm or , is one of the air pollutants that has been found to be at unsafe levels for a number of years in Thailand, leading to public health concerns. In order to lessen the detrimental effects of air pollution, monitoring and analysis of  concentration are crucial. Following the study of data from the Pollution Control Department Report in the area around the Electricity Generating Authority of Thailand in January 2019, it was found that there was data missing in the  information. It is well-known that missing data can reduce the accuracy of data analysis. To solve the missing data problem, this paper proposes an improved method of compromised imputation and a corresponding resultant estimator to deal with estimating the mean of concentrations in the area. The bias and mean square error of the estimator obtained from the proposed method were derived. The conditions which favor the performance of our estimator over other estimators obtained from the mean, ratio, and compromised imputation methods were obtained using mean square error to apply in the area. The mean of concentrations in this case using the proposed estimator was equal to 47.13 mg/m3, indicating that it did not exceed unsafe levels (£ 50 mg/m3) under certain conditions. In order to support more accurate data analysis that will lead to effective management of air pollution problems in the future, this research proposes a new method that is more effective than the existing methods under missing data problem.


Keywords: particulate matter 2.5; missing data; mean estimation; imputation method; auxiliary variable


*Corresponding author: Tel.: (+66) 45353401


                                             E-mail: [email protected]

Article Details

Section
Original Research Articles

References

Zhang, Y., Wang, S.G., Ma, Y.X., Shang, K.Z., Cheng, Y.F., Li, X., Ning, G.C., Zhao, W.J. and Li, N.R., 2015. Association between ambient air pollution and hospital emergency admissions for respiratory and cardiovascular diseases in Beijing: a time series study. Biomedical and Environmental Sciences, 28(5), 352-363, DOI: 10.3967/bes2015.049.

Xing, Y.F., Xu, Y.H., Shi, M.H. and Lian, Y.X., 2016. The impact of on the human respiratory system. Journal of Thoracic Disease, 8(1), 69-74, DOI: 10.3978/j.issn.2072-1439.2016.01.19.

Rose, J.J., Wang, L., Xu, Q., Mctiernan, C.F., Shiva, S., Tejero, J. and Gladwin, M.T., 2017. Carbon monoxide poisoning: pathogenesis, management and future directions of therapy. American Journal of Respiratory and Critical Care Medicine, 195(5), 596-606, DOI: 10.1164/rccm.201606-1275CI.

Yu, Y., Yao, S., Dong, H., Wang, L., Wang, C., Ji, X., Ji, M., Yao, X. and Zhang, Z., 2019. Association between short-term exposure to particulate matter air pollution and cause-specific mortality in Changzhou, China. Environment Research, 170, 7-15.

Pollution Control Department, 2019. Thailand’s Air Quality and Situation Report. [online] Available at: http://air4thai.pcd.go.th/webV2/history/.

Chirasophon, S. and Pochanart, P., 2020. The long-term characteristics of and in Bangkok, Thailand. Asian Journal of Atmospheric Environment, 14(1), 73-83, DOI: 10.5572/ajae.2020.14.1.073.

Peng-in, B., Sanitluea, P., Monjatturat, P., Boonkerd, P. and Phosri, A., 2022. Estimating ground-level over Bangkok Metropolitan Region in Thailand using aerosol optical depth retrieved by MODIS. Air Quality, Atmosphere and Health, 5, 2091-2102, DOI: 10.1007/s11869-022-01238-4.

Bahl, S. and Tuteja, R.K., 1991. Ratio and product-type exponential estimator. Information and Optimization Sciences, 12(1), 159-163.

Singh, H.P. and Pal, S.K., 2015. A new chain ratio-ratio-type exponential estimator using auxiliary information in sample surveys. International Journal of Mathematics and Its Applications, 3, 37-46.

Jaroengeratikun, U. and Lawson, N., 2019. A combined family of ratio estimators for population mean using an auxiliary variable in sample random sampling. Journal of Mathematical and Fundamental Sciences, 51(1), 1-12.

Rubin, R.B., 1976. Inference and missing data. Biometrika. 63(3), 581-592.

Kalton, G., Kasprzyk, D. and Santos, R., 1981. Issues of nonresponse and imputation in the survey of income and program participation. In: D. Krewski, R. Platek and J.N.K. Rao, eds. Current Topics in Survey Sampling. New York: Academic Press, pp. 455-480.

Rao, J.N.K. and Sitter, R.R., 1995. Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika, 82(2), 453-460.

Lee, H., Rancourt, E. and Sarndal, C.E., 1994. Experiments with variance estimation from survey data with imputed values. Journal of Official Statistics, 10, 231-243.

Singh, S. and Deo, B., 2003. Imputation by power transformation. Statistical Papers, 44, 555-579.

Ahmed, M.S., Al-Titi, O., Al-Rawi, Z. and Abu-Dayyeh, W., 2006. Estimation of a population mean using different imputation methods. Statistics in Transition, 7(6), 1247-1264.

Kadilar, C. and Cingi, H., 2008. Estimators for the population mean in the case missing data. Communications in Statistics-Theory and Methods, 37, 2226-2236.

Singh, S. and Horn, S., 2000. Compromised imputation in survey sampling. Metrika, 51, 267-276.

Singh, A.K., Singh P. and Singh, V., 2014. Exponential-type compromised imputation in survey sampling. Journal of Statistics Applications and Probability, 3(2), 211-217.

Rao, P.S.R.S, 1988. Ratio and regression estimators. In: P.R. Krishnaiah and C.R. Rao, eds. Handbook of Statistics. Vol. 6. Amsterdam: Elsevier Science, pp, 449-468.

Audu, A. and Singh, R.V.K., 2020. Exponential-type regression compromised imputation class of estimators. Journal of Statistics and Management Systems, 30, DOI: 10.1080/09720510.2020.1814501.

Fu, H., Zhang, Y., Liao, C., Mao, L., Wang, Z., and Hong, N., 2020. Investigating responses to other air pollutants and meteorological factors across multiple temporal scales. Scientific Reports, 10, DOI: 10.1038/s41598-020-72722-z.

Chinwetkitvanich, S., Ngamsritrakul, T. and Panyametheekul, S., 2021. New normal role in PM2.5 reduction in Bangkok. International Journal of Environmental Science and Development, 12(4), 100-106.

Sun, Y.L., Wang, Z.F., Fu, P.Q., Yang, T., Jiang, Q., Dong, H.B., Li, J. and Jia, J.J., 2013. Aerosol composition, sources and processes during wintertime in Beijing, China. Atmospheric Chemistry and Physics, 2013, 13, 4577-4592.

Zhao, P.S., Dong, F., He, D., Zhao, X.J., Zhang, X.L., Zhang, W.Z., Yao, Q. and Liu, H.Y., 2013. Characteristics of concentrations and chemical compositions for in the region of Beijing, Tianjin, and Hebei, China. Atmospheric Chemistry and Physics, 13, 4631-4644.

Liu, Y., Zhou, Y. and Lu, J., 2020. Exploring the relationship between air pollution and meteorological conditions in china under environmental governance. Scientific Reports, 10, DOI: 10.1038/s41598-020-71338-7.

Yang, H., Peng, Q., Zhou, J., Song, G. and Gong, X., 2020. The unidirectional causality influence of factors on in Shenyang City of China. Scientific Reports, 10, DOI: 10.1038/s41598-020-65391-5.