P-values and confidence intervals of linear rank tests for left-truncated data under truncated binomial design

References

• Abd-Elfattah, E. F. 2012. The weighted log-rank class under truncated binomial design: Saddlepoint p-values and confidence intervals. Lifetime data analysis 18 (2):247–259. doi:10.1007/s10985-011-9206-0.
   PubMed Web of Science ®Google Scholar
• Abd-Elfattah, E. F. 2015a. Saddlepoint p-values and confidence intervals for the class of linear rank tests for censored data under generalized randomized block design. Computational Statistics 30 (2):593–604.
   Web of Science ®Google Scholar
• Abd-Elfattah, E. F. 2015b. Saddlepoint p-values for a class of tests for comparing competing risks with censored data. Journal of Applied Statistics 42 (8):1782–1791. doi:10.1080/02664763.2015.1006590.
   Web of Science ®Google Scholar
• Abd-Elfattah, E. F. 2016. Saddlepoint p-values for two-sample bivariate tests. Journal of Statistical Planning and Inference 171:92–98. doi:10.1016/j.jspi.2015.11.002.
   Web of Science ®Google Scholar
• Abd-Elfattah, E. F. 2017. Saddlepoint p-values for group of linear rank tests. Communications in Statistics-Simulation and Computation 46 (6):4274–4280.
   Web of Science ®Google Scholar
• Abd-Elfattah, E. F., and R. W. Butler. 2007. The weighted log-rank class of permutation tests: P-values and confidence intervals using saddlepoint methods. Biometrika 94 (3):543–551. doi:10.1093/biomet/asm060.
   Web of Science ®Google Scholar
• Abd-Elfattah, E. F., and R. W. Butler. 2009. Log-rank permutation tests for trend: Saddlepoint p-values and survival rate confidence intervals. Canadian Journal of Statistics 37 (1):5–16. doi:10.1002/cjs.10002.
   Web of Science ®Google Scholar
• Abd El-Raheem, A. M., and E. F. Abd-Elfattah. 2020. Weighted log-rank tests for clustered censored data: Saddlepoint p-values and confidence intervals. Statistical Methods in Medical Research 29 (9):2629–2656.
   PubMed Web of Science ®Google Scholar
• Abd El-Raheem, A. M., and E. F. Abd-Elfattah. 2021. Log-rank tests for censored clustered data under generalized randomized block design: Saddlepoint approximation. Journal of Biopharmaceutical Statistics 31 (3):352–361.
   PubMed Web of Science ®Google Scholar
• Abd El-Raheem, A. M., M. Hosny, and E. F. Abd-Elfattah. 2023. Statistical inference of the class of non-parametric tests for the panel count and current status data from the perspective of the saddlepoint approximation. Journal of Mathematics 2023:1–8.
   Web of Science ®Google Scholar
• Bender, R., T. Augustin, and M. Blettner. 2005. Generating survival times to simulate cox proportional hazards models. Statistics in Medicine 24 (11):1713–1723. doi:10.1002/sim.2059.
   PubMed Web of Science ®Google Scholar
• Blackwell, D., and J. L. Hodges Jr. 1957. Design for the control of selection bias. Annals of Mathematical Statistics 28 (2):449–460. doi:10.1214/aoms/1177706973.
   Google Scholar
• Booth, J. G., and R. W. Butler. 1990. Randomization distributions and saddlepoint approximations in generalized linear models. Biometrika 77 (4):787–796. doi:10.1093/biomet/77.4.787.
   Web of Science ®Google Scholar
• Butler, R. W. 2007. Saddlepoint approximations with applications. Cambridge city, England: Cambridge University Press.
   Google Scholar
• Carrión, A., H. Solano, M. L. Gamiz, and A. Debón. 2010. Evaluation of the reliability of a water supply network from right-censored and left-truncated break data. Water Resources Management 24 (12):2917–2935. doi:10.1007/s11269-010-9587-y.
   Web of Science ®Google Scholar
• Chan, K. C. G., and J. Qin. 2015. Rank-based testing of equal survivorship based on cross-sectional survival data with or without prospective follow-up. Biostatistics 16 (4):772–784.
   PubMed Web of Science ®Google Scholar
• Chi, Y., W. Y. Tsai, and C. L. Chiang. 2007. Testing the equality of two survival functions with right truncated data. Statistics in Medicine 26 (4):812–827.
   PubMed Web of Science ®Google Scholar
• Daniels, H. E. 1954. Saddlepoint approximations in statistics. Annals of Mathematical Statistics 25 (4):631–650. doi:10.1214/aoms/1177728652.
   Google Scholar
• Davison, A. C., and D. V. Hinkley. 1988. Saddlepoint approximations in resampling methods. Biometrika 75 (3):417–431. doi:10.1093/biomet/75.3.417.
   Web of Science ®Google Scholar
• Davison, A. C., and S. Wang. 2002. Saddlepoint approximations as smoothers. Biometrika 89 (4):933–938.
   Web of Science ®Google Scholar
• Guo, G. 1993. Event-history analysis for left-truncated data. In Sociological methodology, ed. P. Marsden, Vol. 23, pp. 217–243. Cambridge, MA: Basil Blackwell.
   Google Scholar
• Hosmer, D. W., S. Lemeshow, and S. May. 2007. Applied survival analysis: Regression modeling of time-to-event data. Canada: John Wiley & Sons.
   Google Scholar
• Hyde, J. 1980. Testing survival with incomplete observations. In Biostatistics casebook, ed. R. G. Miller, B. Efron, B. Brown, and L. Moses, pp. 31–46. New York: John Wiley.
   Google Scholar
• Kamal, K. S., A. M. Abd El-Raheem, and E. F. Abd-Elfattah. 2021. Weighted log-rank tests for left-truncated data: Saddlepoint p-values and confidence intervals. Communications in Statistics: Theory and Methods 1–11. doi:10.1080/03610926.2021.1986534
   Web of Science ®Google Scholar
• Kamal, K. S., A. M. Abd El-Raheem, and E. F. Abd-Elfattah. 2022. Weighted log-rank tests for left-truncated data under Weis urn design: Saddlepoint p-values and confidence intervals. Journal of Biopharmaceutical Statistics 32 (5):641–651.
   PubMed Web of Science ®Google Scholar
• Leemis, L. M. 1987. Variate generation for accelerated life and proportional hazards models. Operations Research 35 (6):892–894.
   Web of Science ®Google Scholar
• Lugannani, R., and S. Rice. 1980. Saddle point approximation for the distribution of the sum of independent random variables. Advances in Applied Probability 12 (2):475–490. doi:10.2307/1426607.
   Web of Science ®Google Scholar
• Robinson, J. 1982. Saddlepoint approximations for permutation tests and confidence intervals. Journal of the Royal Statistical Society Series B (Methodological) 44 (1):91–101. doi:10.1111/j.2517-6161.1982.tb01191.x.
   Google Scholar
• Rosenberger, W. F., and J. M. Lachin. 2015. Randomization in clinical trials: Theory and practice. Canada: John Wiley & Sons.
   Google Scholar
• Routledge, R. D. 1994. Practicing safe statistics with the mid-p. Canadian Journal of Statistics 22 (1):103–110. doi:10.2307/3315826.
   Web of Science ®Google Scholar
• Skovgaard, I. M. 1987. Saddlepoint expansions for conditional distributions. Journal of Applied Probability 24 (4):875–887. doi:10.2307/3214212.
   Web of Science ®Google Scholar
• Wang, S. 1990. Saddlepoint approximations for bivariate distributions. Journal of Applied Probability 27 (3):586–597. doi:10.2307/3214543.
   Web of Science ®Google Scholar
• Ying, Z. 1990. Linear rank statistics for truncated data. Biometrika 77 (4):909–914. doi:10.1093/biomet/77.4.909.
   Web of Science ®Google Scholar