In this paper, a new multivariate zero-inflated binomial (MZIB) distribution is proposed to analyse the correlated proportional data with excessive zeros. The distributional properties of purposed model are studied. The Fisher scoring algorithm and EM algorithm are given for the computation of estimates of parameters in the proposed MZIB model with/without covariates. The score tests and the likelihood ratio tests are derived for assessing both the zero-inflation and the equality of multiple binomial probabilities in correlated proportional data. A limited simulation study is performed to evaluate the performance of derived EM algorithms for the estimation of parameters in the model with/without covariates and to compare the nominal levels and powers of both score tests and likelihood ratio tests. The whitefly data is used to illustrate the proposed methodologies.

在本文中，提出了一种新的多元零膨胀二项式 (MZIB) 分布来分析具有过多零的相关比例数据。研究了目标模型的分布特性。给出了 Fisher 评分算法和 EM 算法，用于计算所提出的 MZIB 模型中带/不带协变量的参数估计值。得分检验和似然比检验是为了评估相关比例数据中的零通胀和多个二项式概率的相等性而得出的。进行了有限的模拟研究，以评估派生的 EM 算法的性能，用于估计有/没有协变量的模型中的参数，并比较分数检验和似然比检验的标称水平和功效。