Asparouhov, Tihomir General multi-level modeling with sampling weights. (English) Zbl 1084.62053 Commun. Stat., Theory Methods 35, No. 1-3, 439-460 (2006). Summary: We study approximately unbiased multi-level pseudo maximum likelihood (MPML) estimation methods for general multi-level modeling with sampling weights. We conduct a simulation study to determine the effect various factors have on the estimation method. The factors we included in this study are scaling method, size of clusters, invariance of selection, informativeness of selection, intraclass correlation, and variability of standardized weights. The scaling method is an indicator of how the weights are normalized on each level. The invariance of the selection is an indicator of whether or not the same selection mechanism is applied across clusters. The informativeness of the selection is an indicator of how biased the selection is. We summarize our findings and recommend a multi-stage procedure based on the MPML method that can be used in practical applications. Cited in 7 Documents MSC: 62H99 Multivariate analysis 62D05 Sampling theory, sample surveys 62H12 Estimation in multivariate analysis Keywords:informative selection; multi-level mixture models; multi-level models; multi-level pseudo maximum likelihood; sampling weights; weights scaling; cluster sampling designs; intraclass correlation; tables Software:Mplus PDF BibTeX XML Cite \textit{T. Asparouhov}, Commun. Stat., Theory Methods 35, No. 1--3, 439--460 (2006; Zbl 1084.62053) Full Text: DOI References: [1] Asparouhov T., Structural Eq. Model 12 (2005) [2] DOI: 10.2307/1402588 · Zbl 0535.62014 · doi:10.2307/1402588 [3] De Bruijn N. G., Asymptotic Methods in Analysis (1961) · Zbl 0098.26404 [4] DOI: 10.1177/096228029600500304 · doi:10.1177/096228029600500304 [5] Grilli L., Survey Methodology 30 pp 93– (2004) [6] DOI: 10.1111/1467-9868.00379 · Zbl 1063.62099 · doi:10.1111/1467-9868.00379 [7] DOI: 10.1081/STA-120017802 · Zbl 1029.62011 · doi:10.1081/STA-120017802 [8] Lindley D. V., Bayesian Statistics (1980) · Zbl 0431.62002 [9] Muthen L. K., Mplus User’s Guide., 3. ed. (1998) [10] DOI: 10.2307/1403631 · Zbl 0779.62009 · doi:10.2307/1403631 [11] DOI: 10.1111/1467-9868.00106 · Zbl 0909.62006 · doi:10.1111/1467-9868.00106 [12] DOI: 10.2307/2290269 · Zbl 0783.62012 · doi:10.2307/2290269 [13] Skinner C. J., Analysis of Complex Surveys pp 59– (1989) [14] DOI: 10.1207/S15328007SEM0904_2 · doi:10.1207/S15328007SEM0904_2 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.