In this paper we present methods for inference on data selected by a complex sampling design for a class of statistical models for the analysis of ordinal variables. Specifically, assuming that the sampling scheme is not ignorable, we derive for the class of cub models (Combination of discrete Uniform and shifted Binomial distributions) variance estimates for a complex two stage stratified sample. Both Taylor linearization and repeated replication variance estimators are presented. We also provide design-based test diagnostics and goodness-of-fit measures. We illustrate by means of real data analysis the differences between survey-weighted and unweighted point estimates and inferences for cub model parameters. © 2014 Australian Statistical Publishing Association Inc. Published by Wiley Publishing Asia Pty Ltd.

Design-based inference in a mixture model for ordinal variables for a two stage stratified design / R., Gambacorta; Iannario, Maria; R., Valliant. - In: AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS. - ISSN 1369-1473. - 56:2(2014), pp. 125-143. [10.1111/anzs.12072]

Design-based inference in a mixture model for ordinal variables for a two stage stratified design

IANNARIO, MARIA;
2014

Abstract

In this paper we present methods for inference on data selected by a complex sampling design for a class of statistical models for the analysis of ordinal variables. Specifically, assuming that the sampling scheme is not ignorable, we derive for the class of cub models (Combination of discrete Uniform and shifted Binomial distributions) variance estimates for a complex two stage stratified sample. Both Taylor linearization and repeated replication variance estimators are presented. We also provide design-based test diagnostics and goodness-of-fit measures. We illustrate by means of real data analysis the differences between survey-weighted and unweighted point estimates and inferences for cub model parameters. © 2014 Australian Statistical Publishing Association Inc. Published by Wiley Publishing Asia Pty Ltd.
2014
Design-based inference in a mixture model for ordinal variables for a two stage stratified design / R., Gambacorta; Iannario, Maria; R., Valliant. - In: AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS. - ISSN 1369-1473. - 56:2(2014), pp. 125-143. [10.1111/anzs.12072]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/588659
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 6
social impact