Analysis of the amended Davidson model with order effect for paired comparison in the Bayesian paradigm

Saima Altaf; Muhammad Aslam; Muhammad Aslam

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Analysis of the amended Davidson model with order effect for paired comparison in the Bayesian paradigm

机译：贝叶斯范式中成对比较的阶效应影响的修正Davidson模型的分析

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摘要

We commonly observe many types of paired nature of competitions in which the objects are compared by the respondents pairwise in a subjective manner. The Bayesian statistics, contrary to the classical statistics, presents a generic tool to incorporate new experimental evidence and update the existing information. These and other properties have ushered the statisticians to focus their attention on the Bayesian analysis of different paired comparison models. The present article focuses on the amended Davidson model for paired comparison in which an amendment has been introduced that accommodates the option of not distinguishing the effects of two treatments when they are compared pairwise. However, Bayesian analysis of the amended Davidson model is performed using the noninformative priors after making another small modification of incorporating the parameter of order effect factor. The joint and marginal posterior distributions of the parameters, their posterior estimates, predictive and posterior probabilities to compare the treatment parameters are obtained.

机译：我们通常会观察到许多类型的比赛配对性质，其中被访者以主观方式成对比较对象。与经典统计相反，贝叶斯统计提供了一种通用工具来合并新的实验证据并更新现有信息。这些和其他属性吸引统计学家将注意力集中在不同配对模型的贝叶斯分析上。本文着重介绍了用于配对比较的修改后的Davidson模型，其中引入了一项修正，该修正允许对两种疗法进行成对比较时不区分两种疗法的效果。但是，在对合并有序影响因子的参数进行另一小的修改之后，使用非信息先验对修正的Davidson模型进行贝叶斯分析。获得参数的联合和边缘后验分布，它们的后验估计，比较治疗参数的预测和后验概率。

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《Journal of applied statistics》 |2013年第10期|2204-2218|共15页
作者
Saima Altaf; Muhammad Aslam; Muhammad Aslam;
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作者单位

Department of Statistics, PMAS University of Arid Agriculture, Rawalpindi, Pakistan;

Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan;

Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan;

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正文语种 eng
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关键词
Bayesian analysis; Davidson model; noninformative priors; paired comparison models;

机译：贝叶斯分析;戴维森模型;非信息先验;配对比较模型;

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1. Bayesian analysis of the amended Davidson model for paired comparison using noninformative and informative priors [J] . Saima Altaf, Muhammad Aslam, Muhammad Aslam Statistics . 2013,第4a6期

机译：使用非信息和信息先验进行配对比较的修正Davidson模型的贝叶斯分析
2. Decision-making for paired comparison using the extended amended Davidson model [J] . Altaf Saima, Aslam Muhammad, Liaqat Madiha Communications in Statistics . 2017,第3a4期

机译：使用扩展修正的Davidson Model进行配对比较的决策
3. An application of two sided power distribution in Bayesian analysis of paired comparison of relative importance of predictors in linear regression models [J] . Xiaoyin Wang International Journal of Advanced Statistics and Probability . 2015,第2期

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4. The Picasso Algorithm for Bayesian Localization Via Paired Comparisons in a Union of Subspaces Model [C] . Gregory Canal, Marissa Connor, Jihui Jin, IEEE International Conference on Acoustics, Speech and Signal Processing . 2020

机译：子空间联合模型中通过配对比较进行贝叶斯定位的毕加索算法
5. A Bayesian model for assessing risk using expert judgment about paired scenario comparisons. [D] . Szwed, Paul Stanley. 2002

机译：一种贝叶斯模型，用于使用有关配对方案比较的专家判断来评估风险。
6. Bayesian model comparison in genetic association analysis: linear mixed modeling and SNP set testing [O] . Xiaoquan Wen -1

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Analysis of the amended Davidson model with order effect for paired comparison in the Bayesian paradigm

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