Assessing the Efficiencies of Calibration Ratio Estimators for Estimating Mean Weight of Babies in the Presence of Gestational Age Under Stratified Random Sampling
Keywords:
Calibration estimation, Efficiency, Auxiliary information, stratified random sampling, Gestational ageAbstract
Communication in Physical Sciences, 2024, 12(1): 038-051
Authors: Theophilus Obijuru Nelson and Emmanuel John Ekpenyong
Received: 12 September 2024/Accepted: 11 November 2024/
This study compares the performance of various calibration ratio estimators in estimating the mean weight of newborn babies at the maternity ward of Federal Medical Centre (FMC), Umuahia, Abia State Nigeria, under stratified random sampling. Data were collected on maternal age, height, weight, and baby-related variables such as weight, gestational age and height. The maternal body mass index (BMI) was utilized as the stratification variable. The aim is to improve the accuracy of estimating mean weight of babies by incorporating gestational age as an auxiliary variable. An empirical study was carried out through population data sets obtained as to ascertain the efficiency and performance of various calibration ratio estimators considered in the study, and the results revealed that the estimator of Audu et al. (2020) outperformed the other estimators, and has proven to be consistent in all cases of sample size selection and the tuning parameter.
Downloads
References
Alam, S., Singh S. and Shabbir, J. (2019). New Methodology of Calibration in Stratified Random Sampling. Survey Research Methods Section, 3, pp.90-95.
Alexander, G. R., Himes, J. H., Kaufman, R. b., Mor, J. & Kogan, M. (1996). Use of birth weight percentile standards in perinatal epidemiology. American Journal of Epidemiology, 143, 7, pp. 665-671.
Audu, A., Singh, R. V. K., Muhammed S., Ishaq, O. & Zakari, Y. (2020). On the Efficiency of Calibration Ratio Estimators of Population mean. Proceeding of Royal Statistics Society Nigeria Local Group, pp. 247-261.
Catalano, P. M. & Shankar, K. (2012). Obesity and pregnancy: A review of risks and recommendations. American Journal of Clinical Nutrition, 95, 5, pp. 1105-1113.
Catalano, P. M., Presley, L., Minium, J. & Hauguel-de Mouzon, S. (2007). Impact of maternal obesity on fetal growth and neonatal outcomes. Journal of Endocrinology and Metabolism, 92, 11, pp. 4322-4326
Clement, E. P. (2015). Calibration Approach Separate Ratio Estimator for Population Mean in Stratified Sampling. International Journal of Modern Mathematical Sciences, 13, 4, pp. (4): 377-384.
Clement, E. P. (2017). A New Ratio Estimator of Mean in Survey Sampling by Calibration Estimation. Elixir International Journal, 106, pp. 46461-46465.
Cochran, W. G., (1977). Sampling Technique. 3rd edition. Wiley Eastern Limited, New York.
Deville, J. C., & Sarndal, C. E. (1992). Calibration Estimators in Survey Sampling. Journal of the American Statistical Association, 87, 418, pp. 376-382.
Fall, C. (2009). Maternal Nutrition: Effects on Health in next gestation. Indian Journal of Medicine, 130, pp. 593-599.
Garg, N., & Pachori, M. (2019). Use of coefficient of variation in calibration estimation of Population mean in stratified sampling. Communications in Statistics - Theory and Methods, 49, 23, pp. 842-5852.
Khare, B. B., Singh, S. &Mishra, M. (2022). Separate Ratio Estimator Using Calibration Approach for the Population Mean in Stratified Random Sampling. Asian Journal of Probability and Statistics, 20, 3, pp. 64-73.
Kramer, M. S. & Kakumar, R. (2001). Birth weight and fetal growth. In A. A. Fanaroff and R. J. Martin (Eds.), Neonatal -perinatal medicine (7th ed., pp. 43-55). Mosby
Muili, J. O., Singh, R. V. K., Onwuka, G. I. & Audu, A. (2022). Calibration of Stratified Random Sampling with Combined Ratio Estimators. Oriental Journal of Physical Sciences, 7, 1, pp. 0-36.
Nidhi, B. V. S., Sisodia, S., Singh, P. & Kumar, S. (2018). Calibration Ratio based type estimation of mean in stratified sampling. International Journal of Agricultural Statistical Science, 14, 1, pp. 433-440.
Nidhi, B. V. S., Sisodia, S., Singh, S. K., & Singh (2017). Calibration approach estimation of the mean in stratified sampling stratified double sampling. Communication in Statistics-Theory and Methods 46, 10, pp. 4932-4942.
O’Tierney- Ginn, P. F. & Loftin, C. W. (2017). Contributions of Maternal BMI and gestational weight gain to birth. Journal of Clinical Endocrinology and Metabolism, 102, 11, pp. 3978- 3986.
Ozgul, N. (2018). New calibration estimator in stratified Sampling. Journal of Statistical Computation and Simulation, 88, 13, pp. 2561-2572.
Rao, D., Tekabu, T., & Khan, M. (2016). New calibration estimators in stratified sampling. International Journal of Computer Science and Engineering (APWC on CSE), 3rd Asia Pacific World Congress, Nadi, Fijion, 5, 6, pp. 66-70.
Singh, S. (2003). Advanced Sampling Theory with Applications: How Michael “Selected” Amy, Volume 2. The Netherlands: Kluwer Academic Publishers.
Singh, S., Horn, S. & Yu, F. (1998). Estimation of variance of the general regression Estimator: Higher level calibration approach. survey methodology 48, 1, pp. 41-50.
Sisodia, B. V. S., Singh, S., & Singh, S. K. (2017). Calibration approach estimation of the Mean in stratified sampling and stratified double sampling. Communications in Statistics–Theory and Methods 46, 10, pp. 4932-4942.
Tracy, D. S., Singh, S., & Arnab, R. (2003). Note on calibration in stratified and double Sampling. Survey Methodology 29, 1, pp. 99-104.
World Health Organization. (2016). Body mass index (BMI).
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Journal and Author
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
