One-inflated zero-truncated Poisson and negative binomial regression models

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1. Verfasser: Godwin, Ryan T.
Format: Preprint
Veröffentlicht: 2024
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author Godwin, Ryan T.
author_facet Godwin, Ryan T.
contents The workhorse model for zero-truncated count data (y = 1, 2, ...) is the zero-truncated negative binomial (ZTNB) model. We find it should seldom be used. Instead, we recommend the one-inflated zero-truncated negative binomial (OIZTNB) model developed here. Zero-truncated count data often contain an excess of 1s, leading to bias and inconsistency in the ZTNB model. The importance of the OIZTNB model is apparent given the obvious presence of one-inflation in four datasets that have traditionally championed the standard ZTNB. We provide estimation, marginal effects, and a suite of accompanying tools in the R package oneinfl, available on CRAN.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02272
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle One-inflated zero-truncated Poisson and negative binomial regression models
Godwin, Ryan T.
Econometrics
The workhorse model for zero-truncated count data (y = 1, 2, ...) is the zero-truncated negative binomial (ZTNB) model. We find it should seldom be used. Instead, we recommend the one-inflated zero-truncated negative binomial (OIZTNB) model developed here. Zero-truncated count data often contain an excess of 1s, leading to bias and inconsistency in the ZTNB model. The importance of the OIZTNB model is apparent given the obvious presence of one-inflation in four datasets that have traditionally championed the standard ZTNB. We provide estimation, marginal effects, and a suite of accompanying tools in the R package oneinfl, available on CRAN.
title One-inflated zero-truncated Poisson and negative binomial regression models
topic Econometrics
url https://arxiv.org/abs/2402.02272