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UID:20251105T133723EST-9761w8kVMl@132.216.98.100
DTSTAMP:20251105T183723Z
DESCRIPTION:A spatial hierarchical model for zero-inflated beta distributed
  data.\n\nAbstract: We propose a spatial hierarchical model for zero-infla
 ted beta distributed data. This model is motivated by data on the performa
 nce of students in the Brazilian Mathematical Olympiads for Public Schools
  (OBMEP). We assume that the score of student j in school i\, located in m
 icro-region s\, is a realization from a mixture between a Bernoulli and a 
 beta distribution. The Bernoulli component accounts for zero scores presen
 t in the data. And the mean of the beta distribution accounts for the intr
 insic hierarchical nature of the data. It is decomposed as the sum of stud
 ent's fixed and random effects\, school's fixed effects\, and a random eff
 ect that captures the characteristics of the micro-region the school is lo
 cated at. We explore different prior distributions for this micro-region r
 andom effect\, ranging from independent to different specifications of the
  conditional autoregressive distribution. Because we have available the hu
 man development index (HDI) of the micro-region the school is located at\,
  and HDI varies spatially\, we also investigate if the inclusion of spatia
 lly structured random effects change the estimates associated with HDI and
  other covariates in the model. Inference procedure follows the Bayesian p
 aradigm\, and uncertainty about unknowns in the model are naturally accoun
 ted for. Different fitted models are compared through two different model 
 comparison criteria. Our study suggests that for the OBMEP data\, students
  that attend federal schools which are located in regions with higher valu
 es of HDI tend to perform better in OBMEP. Also\, models that assume the s
 patial random effects to be orthogonal to the school's level covariates pr
 ovide different estimates of some of the fixed effects. This is joint work
  with João B. M. Pereira (IM-UFRJ\, Brazil)\, Widemberg S. Nobre (IM-UFRJ\
 ,Brazil) and Igor Fernandes (IM-UFRJ\, Brazil).\n
DTSTART:20180412T190000Z
DTEND:20180412T200000Z
LOCATION:Room PK-5115 \, CA\, UQAM Pavillon Kennedy
SUMMARY:Alexandra Schmidt\, 9IÖÆ×÷³§Ãâ·Ñ
URL:/mathstat/channels/event/alexandra-schmidt-mcgill-
 university-286402
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