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  1. Journal of Agricultural, Biological, and Environmental Statistics
  2. Journal of Agricultural, Biological, and Environmental Statistics : Volume 21
  3. Journal of Agricultural, Biological, and Environmental Statistics : Volume 21, Issue 4, December 2016
  4. Extending Ordinal Regression with a Latent Zero-Augmented Beta Distribution
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Journal of Agricultural, Biological, and Environmental Statistics : Volume 22
Journal of Agricultural, Biological, and Environmental Statistics : Volume 21
Journal of Agricultural, Biological, and Environmental Statistics : Volume 21, Issue 4, December 2016
Assessing the Correlation Structure in Cow Udder Quarter Infection Times Through Extensions of the Correlated Frailty Model
Extending Ordinal Regression with a Latent Zero-Augmented Beta Distribution
Bayesian Semiparametric Model for Pathway-Based Analysis with Zero-Inflated Clinical Outcomes
Optimal Design of Dilution Experiments Under Volume Constraints
A Reference Population-Based Conformance Proportion
Exact-Permutation-Based Sign Tests for Clustered Binary Data Via Weighted and Unweighted Test Statistics
Review of the Book Applied Hierarchical Modeling in Ecology Volume 1 by Marc Kéry and J. Andrew Royle
Journal of Agricultural, Biological, and Environmental Statistics : Volume 21, Issue 3, September 2016
Journal of Agricultural, Biological, and Environmental Statistics : Volume 21, Issue 2, June 2016
Journal of Agricultural, Biological, and Environmental Statistics : Volume 21, Issue 1, March 2016
Journal of Agricultural, Biological, and Environmental Statistics : Volume 20
Journal of Agricultural, Biological, and Environmental Statistics : Volume 19
Journal of Agricultural, Biological, and Environmental Statistics : Volume 18
Journal of Agricultural, Biological, and Environmental Statistics : Volume 17
Journal of Agricultural, Biological, and Environmental Statistics : Volume 16
Journal of Agricultural, Biological, and Environmental Statistics : Volume 15
Journal of Agricultural, Biological, and Environmental Statistics : Volume 14
Journal of Agricultural, Biological, and Environmental Statistics : Volume 13
Journal of Agricultural, Biological, and Environmental Statistics : Volume 12
Journal of Agricultural, Biological, and Environmental Statistics : Volume 11
Journal of Agricultural, Biological, and Environmental Statistics : Volume 10
Journal of Agricultural, Biological, and Environmental Statistics : Volume 9
Journal of Agricultural, Biological, and Environmental Statistics : Volume 8
Journal of Agricultural, Biological, and Environmental Statistics : Volume 7
Journal of Agricultural, Biological, and Environmental Statistics : Volume 6

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Extending Ordinal Regression with a Latent Zero-Augmented Beta Distribution

Content Provider Springer Nature Link
Author Irvine, Kathryn M. Rodhouse, T. J. Keren, Ilai N.
Copyright Year 2016
Abstract Ecological abundance data are often recorded on an ordinal scale in which the lowest category represents species absence. One common example is when plant species cover is visually assessed within bounded quadrats and then assigned to pre-defined cover class categories. We present an ordinal beta hurdle model that directly models ordinal category probabilities with a biologically realistic beta-distributed latent variable. A hurdle-at-zero model allows ecologists to explore distribution (absence) and abundance processes in an integrated framework. This provides an alternative to cumulative link models when data are inconsistent with the assumption that the odds of moving into a higher category are the same for all categories (proportional odds). Graphical tools and a deviance information criterion were developed to assess whether a hurdle-at-zero model should be used for inferences rather than standard ordinal methods. Hurdle-at-zero and non-hurdle ordinal models fit to vegetation cover class data produced substantially different conclusions. The ordinal beta hurdle model yielded more precise parameter estimates than cumulative logit models, although out-of-sample predictions were similar. The ordinal beta hurdle model provides inferences directly on the latent biological variable of interest, percent cover, and supports exploration of more realistic ecological patterns and processes through the hurdle-at-zero or two-part specification. We provide JAGS code as an on-line supplement. Supplementary materials accompanying this paper appear on-line.
Starting Page 619
Ending Page 640
Page Count 22
File Format PDF
ISSN 10857117
Journal Journal of Agricultural, Biological, and Environmental Statistics
Volume Number 21
Issue Number 4
e-ISSN 15372693
Language English
Publisher Springer US
Publisher Date 2016-09-12
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Beta regression Cumulative link model Grouped continuous Hurdle model Midpoint regression Non-proportional odds Plant abundance Proportional odds model Statistics for Life Sciences, Medicine, Health Sciences Agriculture Monitoring/Environmental Analysis Biostatistics
Content Type Text
Resource Type Article
Subject Applied Mathematics Statistics and Probability Environmental Science Agricultural and Biological Sciences Statistics, Probability and Uncertainty
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