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Carmona, Christian; Nieto-Barajas, Luis; Canale, Antonio

Model-based approach for household clustering with mixed scale variables. (English) Zbl 1474.62439

Adv. Data Anal. Classif., ADAC 13, No. 2, 559-583 (2019).
Summary: The Ministry of Social Development in Mexico is in charge of creating and assigning social programmes targeting specific needs in the population for the improvement of the quality of life. To better target the social programmes, the Ministry is aimed to find clusters of households with the same needs based on demographic characteristics as well as poverty conditions of the household. Available data consists of continuous, ordinal, and nominal variables, all of which come from a non-i.i.d complex design survey sample. We propose a Bayesian nonparametric mixture model that jointly models a set of latent variables, as in an underlying variable response approach, associated to the observed mixed scale data and accommodates for the different sampling probabilities. The performance of the model is assessed via simulated data. A full analysis of socio-economic conditions in households in the Mexican State of Mexico is presented.

Cited in 1 Document

MSC:

62P25 Applications of statistics to social sciences
62H30 Classification and discrimination; cluster analysis (statistical aspects)
60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)

Keywords:

Bayes nonparametrics; complex design; latent variables; multivariate normal; Poisson-Dirichlet process

Software:

BNPMIXcluster; BNPdensity; R
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\textit{C. Carmona} et al., Adv. Data Anal. Classif., ADAC 13, No. 2, 559--583 (2019; Zbl 1474.62439)
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