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.

More from our Archive

• DOI: 10.1002/mma.9597 2023

  Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay

  Peiluan Li, Xueqing Peng, Changjin Xu, Liqin Han, Sairu Shi

• DOI: 10.3390/math11153365 2023

  On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

  Yanlin Li, Manish Kumar Gupta, Suman Sharma, Sudhakar Kumar Chaubey

• DOI: 10.3390/math11153317 2023

  Review Models and Methods for Determining and Predicting the Reliability of Technical Systems and Transport

  Nikita V. Martyushev, Boris V. Malozyomov, Svetlana N. Sorokova, Egor A. Efremenkov, Denis V. Valuev, Mengxu Qi

• DOI: 10.3390/math11153307 2023

  Application of Spectral Methods of Analysis for Description of Ultradian Biorhythms at the Levels of Physiological Systems, Cells and Molecules (Review)

  Maxim E. Astashev, Dmitriy A. Serov, Sergey V. Gudkov

• DOI: 10.2298/fil2306741s 2023

  Bounds for the Berezin number of reproducing kernel Hilbert space operators

  Anirban Sen, Pintu Bhunia, Kallol Paul

• DOI: 10.2298/fil2306835f 2023

  Best proximity points for (φ-ψ)-weak contractions and some applications

  Kamal Fallahi, Ghasem Rad, Andreea Fulga

• DOI: 10.3390/math11153343 2023

  A Proposed Application of Fractional Calculus on Time Dilation in Special Theory of Relativity

  Ebrahem A. Algehyne, Musaad S. Aldhabani, Mounirah Areshi, Essam R. El-Zahar, Abdelhalim Ebaid, Hind K. Al-Jeaid

• DOI: 10.3390/math11153297 2023

  An Enhanced Dwarf Mongoose Optimization Algorithm for Solving Engineering Problems

  Ghareeb Moustafa, Ali M. El-Rifaie, Idris H. Smaili, Ahmed Ginidi, Abdullah M. Shaheen, Ahmed F. Youssef, Mohamed A. Tolba

• DOI: 10.3390/sym15081534 2023

  Deep Learning Approach to Source Localization of Electromagnetic Waves in the Presence of Various Sources and Noise

  Oluwole John Famoriji, Thokozani Shongwe

• DOI: 10.3390/math11153378 2023

  Spatial Demo-Genetic Predator–Prey Model for Studying Natural Selection of Traits Enhancing Consumer Motility

  Yuri V. Tyutyunov