An Improved Dunnett’s Procedure for Comparing Multiple Treatments with a Control in the Presence of Missing Observations

Wenqing Jiang, Jiangjie Zhou and Baosheng Liang ()
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Wenqing Jiang: Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China
Jiangjie Zhou: Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China
Baosheng Liang: Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China

Mathematics, 2023, vol. 11, issue 14, 1-16

Abstract: Dunnett’s procedure has been frequently used for multiple comparisons of group means of several treatments with a control, in drug development and other areas. However, in practice, researchers usually face missing observations when performing Dunnett’s procedure. This paper presents an improved Dunnett’s procedure that can construct unique ensemble confidence intervals for comparing group means of several treatments with a control, in the presence of missing observations, using a derived multivariate t distribution under the framework of Rubin’s rule. This procedure fills the current research gap that Rubin’s repeated-imputation inferences cannot adjust for multiplicity and, thereby, cannot give a unified confidence interval to control the family-wise error rate (FWER) when dealing with this problem. Simulation results show that the constructed pooled confidence intervals archive nominal joint coverage and the interval estimations preserve comparable precision to Rubin’s repeated-imputation inference as the missing rate increases. The proposed procedure with propensity-score imputation method is shown to produce more accurate interval estimations and control the FWER well.

Keywords: Dunnett’s procedure; many-to-one comparisons; missing data; simultaneous confidence interval (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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