Open Access
Subscription Access
District-Level Crop Yield Estimation Using Calibration Approach
Estimation of major crop yield rates at the district level using calibration estimation technique is reported here when auxiliary information is available at the unit level only for the selected villages within each district and when the sampling design under consideration is two-stage equal probability without replacement. An estimator was developed for the complex sampling design under consideration using the calibration approach. Through evaluation using real data collected from a pilot survey, we found that the proposed calibration estimator performs better than the usual design-based Horvitz-Thompson estimator under two-stage sampling design.
Keywords
Calibration Estimation Technique, Crop Yield, Two-Stage Sampling.
User
Font Size
Information
- Deville, J. C. and Särndal, C. E., Calibration estimators in survey sampling. J. Am. Stat. Assoc., 1992, 87, 376–382.
- Theberge, A., Extension of calibration estimators in survey sampling. J. Am. Stat. Assoc., 1999, 94, 635–644; http://dx.doi.org/10.1080/01621459.1999.10474157.
- Horvitz, D. G. and Thompson, D. J., A generalization of sampling without replacement from a finite universe. J. Am. Stat. Assoc., 1952, 47, 663–685.
- Cassel, C. M., Särndal, C. E. and Wretman, J. H., Some results on generalized difference estimation and generalized regression estimation for finite population. Biometrica, 1976, 63, 615–620.
- Singh, S., Survey statisticians celebrate Golden Jubilee Year – 2003 of the linear regression estimator. Metrika, 2006, 63, 1–18.
- Estevao, V. M. and Särndal, C. E., A new perspective on calibration estimators. In Joint Statistical Meeting – Section on Survey Research Methods, 2003, pp. 1346–1356.
- Farrell, P. J. and Singh, S., Penalized chi square distancefunction in survey sampling. In Proceedings of Joint Statistical Meeting, New York (Available on CD), 2002, vol. 15.
- Farrell, P. J. and Singh, S., Model-assisted higher order calibration of estimators of variance. Aust. New Zealand J. Stat., 2005, 47(3), 375–383.
- Kott, P. S., An overview of calibration weighting. Joint Statistical Meeting – Section of Survey Methods, 2003, pp. 2241–2252.
- Montanari, G. E. and Ranalli, G., Nonparametric model calibration estimation in survey sampling. J. Am. Stat. Assoc., 2005, 100(472), 1429–1442.
- Singh, S., Advanced Sampling Theory with Applications: How Michael ‘Selected’ Amy, Kluwer Academic Publisher, The Netherlands, 2003, vols 1 & 2, pp. 1–1247.
- Singh, S., Golden and Silver Jubilee Year – 2003 of the linear regression estimators. Presented at the Joint Statistical Meeting, Toronto (available on the CD), 2004, pp. 4382–4389.
- Wu, C. and Sitter, R. R., A model-calibration approach to using complete auxiliary information from survey data. J. Am. Stat. Assoc., 2001, 96, 185–193.
- Aditya, K., Sud, U. C., Chandra, H. and Biswas, A., Calibration based regression type estimator of the population total under two stage sampling design. J. Indian Soc. Agric. Stat., 2016, 70(1), 19–24.
- Aditya, K. and Sud, U. C., Higher order calibration estimators under two stage sampling. In Statistics and Informatics in Agricultural Research, Excel India Publication, New Delhi, 2015.
- Cochran, W. G., Sampling Techniques, John Wiley & Sons, New York, 1977, 3rd edn.
- Sarndal, C. E., Swensson, B. and Wretman, J., Model-Assisted Survey Sampling, Springer-Verlag, New York, 1992.
Abstract Views: 224
PDF Views: 76