Confidence Intervals by Bootstrapping Approach: A Significance Review

• Main Authors: Mokhtar, Siti Fairus, Md Yusof, Zahayu, Sapiri, Hasimah
• Format: Article
• Language: English
• Published: UTM Press 2023
• Subjects: HA Statistics
• Online Access: https://repo.uum.edu.my/id/eprint/30752/1/MJFAS%2019%202023%2030-42.pdf; https://repo.uum.edu.my/id/eprint/30752/; https://mjfas.utm.my/index.php/mjfas/article/view/2660

A confidence interval is an interval estimate of a parameter of a population calculated from a sample drawn from the population. Bootstrapping method, which involves producing several new data sets that are resampled from the original data in order to estimate parameter for each newly created data set, allowing an empirical distribution for the parameter to be estimated. Since certain statistics are harder to estimate, confidence intervals are rarely employed. Several statistics might necessitate multi-step formulas assuming that are impractical for calculating confidence intervals. This paper reviews research on the concept of bootstrapping and bootstrap confidence interval. The current narrative analysis was developed to answer the main research question: (1) What is the concept of the bootstrap method and bootstrap confidence interval? (2) What are the methods of bootstrapping to obtain confidence interval? This study has found general bootstrap method idea, various techniques of bootstrap methods, its advantages and disadvantages, and its limitations. There are normal interval method, percentile bootstrap method, basic method, first-order normal approximation method, bias-corrected bootstrap, accelerated bias-corrected bootstrap and bootstrap-t method. This study concludes that the advantages of using bootstrap CI is that it does not require any assumptions about the shape of distribution and universality of the approach. Bootstrapping is a computer-intensive statistical technique that relies significantly on modern high-speed digital computers to do massive computations