Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2019 | OriginalPaper | Chapter

Cluster Weighted Beta Regression: A Simulation Study

Authors : Marco Alfó, Luciano Nieddu, Cecilia Vitiello

Published in: Statistical Learning of Complex Data

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In several application fields, we have to model a response that takes values in a limited range. When these values may be transformed into rates, proportions, concentrations, that is to continuous values in the unit interval, beta regression may be the appropriate choice. In the presence of unobserved heterogeneity, for example when the population of interest is composed by different subgroups, finite mixture of beta regression models could be useful. When conditions of exogeneity of the covariates set are not met, extended modeling approaches should be proposed. For this purpose, we discuss the class of cluster-weighted beta regression models.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
next chapter Detecting Wine Adulterations Employing Robust Mixture of Factor Analyzers
Literature
1.
Bagnato, L., Punzo, A.: Finite mixtures of unimodal beta and gamma densities and the k-bumps algorithm. Comput. Stat. 28, 1571–1597 (2013)MathSciNetCrossRef
2.
Buntaine, M.T.: Does the asian development bank respond to past environmental performance when allocating environmentally risky financing. World Dev. 39, 336–350 (2011)CrossRef
3.
Carmichael, C.S.: Modelling student performance in a tertiary preparatory course. Master dissertation, University of Southern Queensland (2006)
4.
5.
Cribari-Neto, F., Zeileis, A.: Beta regression in R. J. Stat. Softw. 34(2), 1–24 (2010)CrossRef
6.
De Paola, M., Scoppa, V., Lombardo, R.: Can gender quotas break down negative stereotypes? Evidence from changes in electoral rules. J. Public Econ. 94, 344–353 (2010)
7.
Demsetz, H., Lehn, K.: The structure of corporate ownership: causes and consequences. J. Polit. Econ. 93(6), 1155–1177 (1985)CrossRef
8.
Ferrari, S., Cribari-Neto, F.: Beta regression for modelling rates and proportions. J. Appl. Stat. 31(7), 799–815 (2004)MathSciNetCrossRef
9.
Gershenfeld, N.: Nonlinear inference and cluster-wieghted modeling. Ann. N. Y. Acad. Sci. 808(1), 18–24 (1997)CrossRef
10.
Grün, B., Kosmidis, I., Zeileis, A.: Extended beta regression in R: shaken, stirred, mixed, and partitioned. J. Stat. Softw. 48(11), 1–25 (2012)CrossRef
11.
Hennig, C.: Identifiablity of models for clusterwise linear regression. J. Classif. 17, 273–296 (2000)CrossRef
12.
Hunger, M., Doring, A., Holle, R.: Longitudinal beta regression models for analyzing health-related quality of life score overtime. BMC Med. Res. Methodol. 12, 144 (2012)CrossRef
13.
Ingrassia, S., Punzo, A., Vittadini, G., Minotti, S.C.: The generalized linear mixed cluster-weighted model. J. Classif. 32, 85–113 (2015)MathSciNetCrossRef
14.
Kieschnick, R., McCullough, B.D.: Regression analysis of variates observed on (0, 1): percentages, proportions and fractions. Stat. Model. 3(3), 193–213 (2003)MathSciNetCrossRef
15.
16.
Ospina, R., Ferrari, S.L.P.: A general class of zero-or-one inflated beta regression models. Comput. Stat. Data Anal. 56(6), 1609–1623 (2012)MathSciNetCrossRef
17.
Papke, L., Wooldridge, J.: Econometric methods for fractional response variables with an application to 401(k) plan participation rates. J. Appl. Economet. 11(6), 619–632 (1996)CrossRef
18.
Punzo, A., Ingrassia, S.: Clustering bivariate mixed-type data via the cluster-weighted model. Comput. Stat. 31, 989–1013 (2016)MathSciNetCrossRef
19.
Punzo, A., Bagnato, L., Maruotti, A.: Compound unimodal distributions for insurance losses. Insur. Math. Econ. 81, 95–107 (2018)MathSciNetCrossRef
20.
Rand, W.M.: Objective criteria for the evaluation of clustering methods. J. Am. Stat. Assoc. 66(336), 846–850 (1971)CrossRef
21.
Rogers, J.A., Polhamus, D., Gillespie, W.R., Ito, K., Romero, K., Qiu, R., Stephenson, D., Gastonguay, M.R., Corrigan, B.: Combining patient-level and summary-level data for alzheimer’s disease modeling and simulation: a beta regression meta-analysis. J. Pharmacokinet. Pharmacodyn. 39, 479–498 (2012)CrossRef
22.
Swearingen, C.J., Tilley, B.C., Adams, R.J., Rumboldt, Z., Nicholas, J.S., Bandyopadhyay, D., Woolson, R.F.: Application of beta regression to analyze ischemic stroke volume in NINDS rt-PA clinical trials. Neuroepidemiology 37(2), 73–82 (2011)CrossRef
Metadata
Title
Cluster Weighted Beta Regression: A Simulation Study
Authors
Marco Alfó
Luciano Nieddu
Cecilia Vitiello
Copyright Year
2019
Book
Statistical Learning of Complex Data

Print ISBN: 978-3-030-21139-4

Electronic ISBN: 978-3-030-21140-0

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-21140-0_1

Premium Partner

    Image Credits