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Background: Outcome measures that are count variables with excessive zeros are common in health behaviors research. There is a lack of empirical data about the relative performance of prevailing statistical models when outcomes are…

应用统计 · 统计学 2023-08-17 Zhengyang Zhou , Dateng Li , David Huh , Minge Xie , Eun-Young Mun

Mediation analysis is an increasingly popular statistical method for explaining causal pathways to inform intervention. While methods have increased, there is still a dearth of robust mediation methods for count outcomes with excess zeroes.…

We propose a new methodology to detect zero-inflation and overdispersion based on the comparison of the expected sample extremes among convexly ordered distributions. The method is very flexible and includes tests for the proportion of…

统计方法学 · 统计学 2008-09-25 A. Baillo , J. Carcamo , J. R. Berrendero

In microbiome studies, it is of interest to use a sample from a population of microbes, such as the gut microbiota community, to estimate the population proportion of these taxa. However, due to biases introduced in sampling and…

统计方法学 · 统计学 2022-10-11 Roulan Jiang , Xiang Zhan , Tianying Wang

Marginalized models are in great demand by most researchers in the life sciences particularly in clinical trials, epidemiology, health-economics, surveys and many others since they allow generalization of inference to the entire population…

统计方法学 · 统计学 2016-10-26 Samuel Iddi , Kwabena Doku-Amponsah

The role of the microbiome in disease pathogenesis is an emerging field with strong evidence suggesting that dysbiosis is associated with precancerous and cancerous states. Microbiome data present substantial challenges for causal mediation…

统计方法学 · 统计学 2026-05-07 Seungjun Ahn , Quran Wu , Alicia Yang , Zhigang Li

Many data sets cannot be accurately described by standard probability distributions due to the excess number of zero values present. For example, zero-inflation is prevalent in microbiome data and single-cell RNA sequencing data, which…

统计方法学 · 统计学 2024-11-20 Max Beveridge , Zach Goldstein , Hee Cheol Chung

We consider the complex data modeling problem motivated by the zero-inflated and overdispersed data from microbiome studies. Analyzing how microbiome abundance is associated with human biological features, such as BMI, is of great…

统计方法学 · 统计学 2025-03-31 Zirui Wang , Tianying Wang

Dimension reduction of high-dimensional microbiome data facilitates subsequent analysis such as regression and clustering. Most existing reduction methods cannot fully accommodate the special features of the data such as count-valued and…

统计方法学 · 统计学 2023-05-02 Tianchen Xu , Ryan T. Demmer , Gen Li

The Poisson distribution is often used as a standard model for count data. Quite often, however, such data sets are not well fit by a Poisson model because they have more zeros than are compatible with this model. For these situations, a…

统计理论 · 数学 2008-12-18 M. J. Bayarri , James O. Berger , Gauri S. Datta

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much…

统计方法学 · 统计学 2025-09-30 Gustavo H. A. Pereira , Jeremias Leão , Manoel Santos-Neto , Jianwen Cai

The scan statistic is widely used in spatial cluster detection applications of inhomogeneous Poisson processes. However, real data may present substantial departure from the underlying Poisson process. One of the possible departures has to…

统计方法学 · 统计学 2013-11-19 André L. F. Cançado , Cibele Q. da-Silva , Michel F. da Silva

A common type of zero-inflated data has certain true values incorrectly replaced by zeros due to data recording conventions (rare outcomes assumed to be absent) or details of data recording equipment (e.g. artificial zeros in gene…

Cluster randomized trails (CRT) have been widely employed in medical and public health research. Many clinical count outcomes, such as the number of falls in nursing homes, exhibit excessive zero values. In the presence of zero inflation,…

应用统计 · 统计学 2020-09-23 Zhengyang Zhou , Dateng Li , Song Zhang

The problem of estimating the ratio of the means of a two-component Poisson mixture model is considered, when each component is subject to zero-inflation, i.e., excess zero counts. The. resulting {\it zero-inflated Poisson mixture (ZIPM)…

统计理论 · 数学 2022-03-31 Michael D. Perlman

Human microbiome studies based on genetic sequencing techniques produce compositional longitudinal data of the relative abundances of microbial taxa over time, allowing to understand, through mixed-effects modeling, how microbial…

统计方法学 · 统计学 2025-12-23 John Barrera , Cristian Meza , Ana Arribas-Gil

Meta-analysis is a well-established method for integrating results from several independent studies to estimate a common quantity of interest. However, meta-analysis is prone to selection bias, notably when particular studies are…

应用统计 · 统计学 2024-11-20 Layna Charlie Dennett , Antony Overstall , Dankmar Boehning

We consider the analysis of count data in which the observed frequency of zero counts is unusually large, typically with respect to the Poisson distribution. We focus on two alternative modelling approaches: Over-Dispersion (OD) models, and…

统计方法学 · 统计学 2021-07-30 John Haslett , Andrew C. Parnell , John Hinde , Rafael A. Moral

The main object of this article is to present an extension of the zero-inflated Poisson-Lindley distribution, called of zero-modified Poisson-Lindley. The additional parameter $\pi$ of the zero-modified Poisson-Lindley has a natural…

统计方法学 · 统计学 2018-11-28 Danillo Xavier , Manoel Santos-Neto , Marcelo Bourguignon , Vera Tomazella

The association between multidimensional exposure patterns and outcomes is commonly investigated by first applying cluster analysis algorithms to derive patterns and then estimating the associations. However, errors in the underlying…

统计方法学 · 统计学 2023-05-31 Timm Intemann , Iris Pigeot
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