Dynamic association modeling in contingency tables

Ghoreishi, Seyed Kamran; Alijani, M. R.

doi:10.1016/j.stamet.2010.10.002

Cited by 5 publications

(2 citation statements)

References 29 publications

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“…In this regard, Zhen and Basawa presented a model for time‐dependent contingency table, called time‐series table with categorical data. Later, Ghoreishi and Alijani developed a dynamic contingency table to predict the changing patterns of variable communications. Kieffer et al used a generalized form of the contingency table proposed by Kijima and Matsui to evaluate genetic characteristic effects of 10 000 individuals on the occurrence of cancer on nine parts of their bodies.…”

Section: Introductionmentioning

confidence: 99%

Phase‐I monitoring of log‐linear model‐based processes (a case study in health care: Kidney patients)

Kamranrad

Amiri

Niaki

2019

Quality & Reliability Eng

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Processes with multiple correlated categorical quality characteristics are called multivariate categorical processes. These processes are usually shown by contingency tables and are characterized by log-linear models. In this paper, two monitoring approaches including likelihood ratio test (LRT) and F test are developed to monitor multivariate categorical processes based on the contingency table in Phase I. In addition, a change point estimator for multivariate categorical processes is developed in Phase I. The performances of the two proposed approaches are evaluated in terms of probability of signal, while the performance of the proposed change point estimator is evaluated in terms of accuracy and precision criteria through simulation experiments. Meanwhile, we compare the performance of the two proposed control charts with an existing control chart called "−2LRT" control chart for multivariate categorical processes. In the end, a typical application of the proposed methods is illustrated in a real-world health care system.

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Section: Introductionmentioning

confidence: 99%

Phase‐I monitoring of log‐linear model‐based processes (a case study in health care: Kidney patients)

Kamranrad

Amiri

Niaki

2019

Quality & Reliability Eng

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“…Zhen and Basawa presented a related model with time‐dependent contingency table which is called time series table with categorical data. After presenting the time series table, Ghoreishi and Alijani presented a dynamic contingency table to predict the changing patterns of variables communication.…”

Section: Introductionmentioning

confidence: 99%

New Approaches in Monitoring Multivariate Categorical Processes based on Contingency Tables in Phase II

Kamranrad

Amiri

Niaki

2016

Quality & Reliability Eng

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In some statistical process control (SPC) applications, quality of a process or product is characterized by contingency table. Contingency tables describe the relation between two or more categorical quality characteristics. In this paper, two new control charts based on the WALD and Stuart score test statistics are designed for monitoring of contingency table‐based processes in Phase‐II. The performances of the proposed control charts are compared with the generalized linear test (GLT) control chart proposed in the literature. The results show the better performance of the proposed control charts under small and moderate shifts. Moreover, new schemes are proposed to diagnose which cell corresponding to different levels of categorical variables is responsible for out‐of‐control signal. In addition, we propose EWMA–WALD and EWMA–Stuart score test control charts to improve the performance of Shewhart‐based control charts in detecting small and moderate shifts in contingency table parameters. Meanwhile, we compare the performances of two proposed EWMA‐based control charts with the ones of three existing control charts called EWMA–GLT, EWMA–GLRT and an EWMA‐type control chart for multivariate binomial/multinomial processes along with the ones of the corresponding Shewhart‐based control charts. A numerical example is given to show the efficiency of the proposed methods. Finally, the effect of parameter estimation in Phase I based on m historical contingency table on the performance of the Shewhart‐based control charts is studied. Copyright © 2016 John Wiley & Sons, Ltd.

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Fractal analysis and the relationship between efficiency of capital market indices and COVID-19 in Iran

Alijani¹,

Banimahd²,

Nikoomaram³

et al. 2021

Results in Physics

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Dynamic association modeling in contingency tables

Cited by 5 publications

References 29 publications

Phase‐I monitoring of log‐linear model‐based processes (a case study in health care: Kidney patients)

Phase‐I monitoring of log‐linear model‐based processes (a case study in health care: Kidney patients)

New Approaches in Monitoring Multivariate Categorical Processes based on Contingency Tables in Phase II

Fractal analysis and the relationship between efficiency of capital market indices and COVID-19 in Iran

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