This paper introduces the principle of PPS-based adaptive cluster sampling method and its modified HH estimator and HT estimator calculation method. It compares PPS-based adaptive cluster sampling method with SRS sampling and SRS-based adaptive group. The difference between the group sampling and the advantages and scope of the PPS adaptive cluster sampling method are analyzed. According to the case analysis, the relevant conclusions are drawn: 1) The adaptive cluster sampling method is more accurate than the SRS sampling; 2) SRS adaptive The HT estimator of the cluster sampling is more stable than the HH estimator; 3) The two estimators of the PPS adaptive cluster sampling method have little difference in the estimation of the population mean, but the HT estimator variance is smaller and more suitable; 4) PPS The HH estimator of adaptive cluster sampling is the same as the HH estimator of SRS adaptive cluster sampling, but the variance is larger and unstable.
References
[1]
Thompson, S. (1990) Adaptive Cluster Sampling. JournaloftheAmericanStatisticalAssociation, 85, 1050-1059. https://doi.org/10.1080/01621459.1990.10474975
[2]
Roesch, F. (1993) Adaptive Cluster Sampling for Forest Inventories. ForestScience, 39, 655-669. https://doi.org/10.1093/forestscience/39.4.655
[3]
Dryver, A. and Thompson, S. (2007) Adaptive Sampling without Replacement of Clusters. StatisticalMethodology, 4, 35-43. https://doi.org/10.1016/j.stamet.2006.02.003
[4]
Gattone, S., Mohamed, E., Dryver, A. and Münnich, R. (2016) Adaptive Cluster Sampling for Negatively Correlated Data. Environmetrics, 27, E103-E113. https://doi.org/10.1002/env.2381
[5]
Pal, S. and Patra, D. (2021) A Prediction Approach in Adaptive Sampling. METRON, 79, 93-108. https://doi.org/10.1007/s40300-020-00195-1
[6]
Rapley, V. and Welsh, A. (2008) Model-Based Inferences from Adaptive Cluster Sampling. BayesianAnalysis, 3, 717-736. https://doi.org/10.1214/08-BA327
[7]
Salehi, M. and Seber, G. (2002) Theory & Methods: Unbiased Estimators for Restricted Adaptive Cluster Sampling. Australian&NewZealandJournalofStatistics, 44, 63-74. https://doi.org/10.1111/1467-842X.00208
[8]
Seber, G. and Salehi, M. (2012) Adaptive Cluster Sampling. In: Adaptive Sampling Designs, SpringerBriefs in Statistics, Springer, Berlin, 11-26. https://doi.org/10.1007/978-3-642-33657-7_2
[9]
Salehi, M. and Seber, G. (1997) Two-Stage Adaptive Cluster Sampling. Biometrics, 53, 959-970. https://doi.org/10.2307/2533556
[10]
Brown, J. and Manly, B. (1998) Restricted Adaptive Cluster Sampling. EnvironmentalandEcologicalStatistics, 5, 49-63. https://doi.org/10.1023/A:1009607403647
[11]
Patummasut, M. and Borkowski, J. (2014) Adaptive Cluster Sampling with Spatially Clustered Secondary Units. JournalofAppliedSciences, 14, 2516-2522. https://doi.org/10.3923/jas.2014.2516.2522
[12]
Latpate, R. and Kshirsagar, J. (2018) Two-Stage Negative Adaptive Cluster Sampling. CommunicationsinMathematicsandStatistics, 8, 1-21. https://doi.org/10.1007/s40304-018-0151-z
[13]
Hankin, D., Mohr, M. and Newman, K. (2019) Adaptive Sampling: For the Ecological and Natural Resource Sciences. Sampling Theory. https://doi.org/10.1093/oso/9780198815792.001.0001
[14]
Nolau, I., Gonccalves, K. and Pereira, J. (2020) Model-Based Inference for Rare and Clustered Populations from Adaptive Cluster Sampling using Auxiliary Variables. JournalofSurveyStatisticsandMethodology, 10, 439-465. https://doi.org/10.1093/jssam/smab001
