Extending Ordinal Regression with a Latent Zero-Augmented Beta Distribution
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DOI: 10.1007/s13253-016-0265-2
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- Megan D. Higgs & Jay M. Ver Hoef, 2012. "Discretized and Aggregated: Modeling Dive Depth of Harbor Seals from Ordered Categorical Data with Temporal Autocorrelation," Biometrics, The International Biometric Society, vol. 68(3), pages 965-974, September.
- Grün, Bettina & Kosmidis, Ioannis & Zeileis, Achim, 2012.
"Extended Beta Regression in R: Shaken, Stirred, Mixed, and Partitioned,"
Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i11).
- Bettina Grün & Ioannis Kosmidis & Achim Zeileis, 2011. "Extended Beta Regression in R: Shaken, Stirred, Mixed, and Partitioned," Working Papers 2011-22, Faculty of Economics and Statistics, Universität Innsbruck.
- Russell B. Millar, 2009. "Comparison of Hierarchical Bayesian Models for Overdispersed Count Data using DIC and Bayes' Factors," Biometrics, The International Biometric Society, vol. 65(3), pages 962-969, September.
- Raydonal Ospina & Silvia Ferrari, 2010. "Inflated beta distributions," Statistical Papers, Springer, vol. 51(1), pages 111-126, January.
- Kim, Ji-Hyun, 2003. "Assessing practical significance of the proportional odds assumption," Statistics & Probability Letters, Elsevier, vol. 65(3), pages 233-239, November.
- Chen, Jun & Shiyomi, Masae & Hori, Yoshimichi & Yamamura, Yasuo, 2008. "Frequency distribution models for spatial patterns of vegetation abundance," Ecological Modelling, Elsevier, vol. 211(3), pages 403-410.
- Daniel B. Hall, 2000. "Zero-Inflated Poisson and Binomial Regression with Random Effects: A Case Study," Biometrics, The International Biometric Society, vol. 56(4), pages 1030-1039, December.
- Stevens, Don L. & Olsen, Anthony R., 2004. "Spatially Balanced Sampling of Natural Resources," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 262-278, January.
- Silvia Ferrari & Francisco Cribari-Neto, 2004. "Beta Regression for Modelling Rates and Proportions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(7), pages 799-815.
- Higgs, Megan Dailey & Hoeting, Jennifer A., 2010. "A clipped latent variable model for spatially correlated ordered categorical data," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 1999-2011, August.
- David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
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Cited by:
- Ejike R. Ugba & Daniel Mörlein & Jan Gertheiss, 2021. "Smoothing in Ordinal Regression: An Application to Sensory Data," Stats, MDPI, vol. 4(3), pages 1-18, July.
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Keywords
Beta regression; Cumulative link model; Grouped continuous; Hurdle model; Midpoint regression; Non-proportional odds; Plant abundance; Proportional odds model;All these keywords.
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