References

Abbasi, Azhar Mehmood, Muhammad Yousaf Shad, and Aneel Ahmed. 2022. “On Partial Randomized Response Model Using Ranked Set Sampling.” PLOS ONE 17 (11): e0277497. https://doi.org/10.1371/journal.pone.0277497.

Agegnehu, Chilot Desta, and Adugnaw Zeleke Alem. 2021. “Exploring Spatial Variation in BCG Vaccination Among Children 0–35 Months in Ethiopia: Spatial Analysis of Ethiopian Demographic and Health Survey 2016.” BMJ Open 11 (4): e043565. https://doi.org/10.1136/bmjopen-2020-043565.

Agresti, Alan, and Brent A. Coull. 1998. “Approximate Is Better Than ‘Exact’ for Interval Estimation of Binomial Proportions.” The American Statistician 52 (2): 119–26. https://doi.org/10.1080/00031305.1998.10480550.

Branson, Zach, and Marie-Abèle Bind. 2019. “Randomization-Based Inference for Bernoulli Trial Experiments and Implications for Observational Studies.” Statistical Methods in Medical Research 28 (5): 1378–98. https://doi.org/10.1177/0962280218756689.

Centers for Disease Control and Prevention. 2022. “COVID-19 Vaccination Coverage, United States, 2022.” https://www.cdc.gov/vaccines/imz-managers/coverage/index.html.

Gelman, Andrew, John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari, and Donald B. Rubin. 2013. Bayesian Data Analysis. 3rd ed. Chapman & Hall/CRC.

Hamza, Taye H., Hans C. van Houwelingen, and Theo Stijnen. 2008. “The Binomial Distribution of Meta-Analysis Was Preferred to Model Within-Study Variability.” Journal of Clinical Epidemiology 61 (1): 41–51. https://doi.org/10.1016/j.jclinepi.2007.03.016.

Hosmer, David W., Stanley Lemeshow, and Rodney X. Sturdivant. 2013. Applied Logistic Regression. 3rd ed. Wiley.

Johnson, Norman L., Adrienne W. Kemp, and Samuel Kotz. 2005. Univariate Discrete Distributions. 3rd ed. Wiley. https://onlinelibrary.wiley.com/doi/book/10.1002/0471715816.

McCullagh, P., and John A. Nelder. 2018. Generalized Linear Models. Boca Raton: Chapman; Hall/CRC.

Nyaga, Victoria N., Marc Arbyn, and Marc Aerts. 2014. “Metaprop: A Stata Command to Perform Meta-Analysis of Binomial Data.” Archives of Public Health 72 (1): 39. https://doi.org/10.1186/2049-3258-72-39.

Snipen, Lars, Trygve Almøy, and David W. Ussery. 2009. “Microbial Comparative Pan-Genomics Using Binomial Mixture Models.” BMC Genomics 10 (1): 385. https://doi.org/10.1186/1471-2164-10-385.

Sparta, Breanne, Timothy Hamilton, Gunalan Natesan, Samuel D. Aragones, and Eric J. Deeds. 2024. “Binomial Models Uncover Biological Variation During Feature Selection of Droplet-Based Single-Cell RNA Sequencing.” PLoS Computational Biology 20 (9): e1012386. https://doi.org/10.1371/journal.pcbi.1012386.

Thompson, E. A. 2010. “Minimum Variance Estimators.” https://faculty.washington.edu/eathomp/S341_10/Hwks/Cramer_Rao_soln.pdf.

Wu, Bangsheng, Yi Jiang, Xiaoqing Jin, and Li He. 2020. “Using Three Statistical Methods to Analyze the Association Between Exposure to 9 Compounds and Obesity in Children and Adolescents: NHANES 2005-2010.” Environmental Health 19 (1): 94. https://doi.org/10.1186/s12940-020-00642-6.

Xue, Xiaonan, and Ron Brookmeyer. 1997. “Regression Analysis of Discrete Time Survival Data Under Heterogeneity.” Statistics in Medicine 16 (17): 1983–93. https://doi.org/10.1002/(SICI)1097-0258(19970915)16:17<1983::AID-SIM628>3.0.CO;2-3.

Young-Xu, Yinong, and K. Arnold Chan. 2008. “Pooling Overdispersed Binomial Data to Estimate Event Rate.” BMC Medical Research Methodology 8 (1): 58. https://doi.org/10.1186/1471-2288-8-58.