Volume 22, Issue 3 pp. 520-530
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A fiducial approach for testing the non-inferiority of proportion difference in matched-pairs design

Chao Chen

Chao Chen

School of Public Health, Guangdong Medical University, Dongguan, People's Republic of China

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Siyang Ye

Siyang Ye

School of Public Health, Guangdong Medical University, Dongguan, People's Republic of China

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Jiahao Xu

Jiahao Xu

School of Public Health, Guangdong Medical University, Dongguan, People's Republic of China

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Kai Wan

Kai Wan

Faculty of Liberal Studies, Wenzhou Business College, Wenzhou, People's Republic of China

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Yanting Chen

Corresponding Author

Yanting Chen

School of Public Health, Guangdong Medical University, Dongguan, People's Republic of China

Correspondence

Yanting Chen, School of Public Health, Guangdong Medical University, Dongguan, People's Republic of China.

Email: [email protected]

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First published: 05 January 2023
Citations: 1

Abstract

The non-inferiority of one treatment/drug to another is a common and important issue in medical and pharmaceutical fields. This study explored a fiducial approach for testing the non-inferiority of proportion difference in matched-pairs design. Approximate tests constructed using fiducial quantities with a combination of different parameters were proposed. Four simulation studies were employed to compare the performance of fiducial tests by comparing their type I errors and powers. The results showed that fiducial quantities with parameter 0.6 w 1 0.8 performed satisfactorily from small to large samples. Therefore, the fiducial tests could be recommended for practical applications. The recommended fiducial tests might be a competitive alternative to other available tests. Three real data sets were analyzed to illustrate the proposed methods were competitive or even better than other tests.

CONFLICT OF INTEREST

The researcher claims no conflicts of interests.

DATA AVAILABILITY STATEMENT

The authors confirm that the data supporting the findings of this study are available within the article. Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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