| Autor: |
Martín Andrés A; Biostatistics, Faculty of Medicine, University of Granada, Granada, Spain., Gayá Moreno F; Statistics Unit, University Hospital La Paz, Madrid, Spain., Álvarez Hernández M; University Defense Centre - Naval Military School, Marín (Pontevedra), Spain., Herranz Tejedor I; Biostatistics, Faculty of Medicine, Madrid Complutense University, Madrid, Spain. |
| Jazyk: |
angličtina |
| Zdroj: |
Journal of biopharmaceutical statistics [J Biopharm Stat] 2024 Feb 09, pp. 1-14. Date of Electronic Publication: 2024 Feb 09. |
| DOI: |
10.1080/10543406.2024.2311242 |
| Abstrakt: |
It is commonly necessary to perform inferences on the difference, ratio, and odds ratio of two proportions p 1 and p 2 based on two independent samples. For this purpose, the most common asymptotic statistics are based on the score statistics ( S -type statistics). As these do not correct the bias of the estimator of the product p i (1- p i ), Miettinen and Nurminen proposed the MN -type statistics, which consist of multiplying the statistics S by ( N -1)/ N , where N is the sum of the two sample sizes. This paper demonstrates that the factor ( N -1)/ N is only correct in the case of the test of equality of two proportions, providing the estimation of the correct factor ( AU -type statistics) and the minimum value of the same ( AUM- type statistics). Moreover, this paper assesses the performance of the four-type statistics mentioned ( S , MN , AU and AUM ) in one and two-tailed tests, and for each of the three parameters cited ( d , R and OR ). We found that the AUM- type statistics are the best, followed by the MN type (whose performance was most similar to that of AU- type). Finally, this paper also provides the correct factors when the data are from a multinomial distribution, with the novelty that the MN and AU statistics are similar in the case of the test for the odds ratio. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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