The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods
Abstract
We discuss several nonparametric methods for attaching a standard error to a point estimate: the jackknife, the bootstrap, half-sampling, subsampling, balanced repeated replications, the infinitesimal jackknife, influence function techniques and the delta method. The last three methods are shown to be identical. All the methods derive from the same basic idea, which is also the idea underlying the common parametric methods. Extended numerical comparisons are made for the special case of the correlation coefficient.
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“First, some data within this study was not normally distributed. Typically used parametric methods would have led to biased results. Non-parametric tests and bootstrap were used in the analyses to obtain robust results [53–55].”
From Impact of an acceptance facilitating intervention on psychotherapists' acceptance of blended therapy (2020) · cites this paper as [53]
Citations
Cites
Bootstrap methods: another look at the jackknife
Efron, B. (1979) · The Annals of Statistics · doi:10.1214/aos/1176344552 · Cited by 17,602
Self-citationContinuous Univariate Distributions.
Omori, Y., Johnson, N. L., Kotz, S., & Balakrishnan, N. (1995) · Journal of the American Statistical Association · doi:10.2307/2291547 · Cited by 9,085
The Influence Curve and Its Role in Robust Estimation
Hampel, F. R. (1974) · Journal of the American Statistical Association · doi:10.1080/01621459.1974.10482962 · Cited by 2,847
The Jackknife Estimate of Variance
Efron, B., & Stein, C. (1981) · The Annals of Statistics · doi:10.1214/aos/1176345462 · Cited by 1,424
Self-citationMiller, R. G. (1974) · Biometrika · doi:10.1093/biomet/61.1.1 · Cited by 1,391
Computers and the Theory of Statistics: Thinking the Unthinkable
Efron, B. (1979) · SIAM Review · doi:10.1137/1021092 · Cited by 880
Self-citationCensored Data and the Bootstrap
Efron, B. (1981) · Journal of the American Statistical Association · doi:10.1080/01621459.1981.10477650 · Cited by 689
Self-citationInference from Complex Samples
Kish, L., & Frankel, M. R. (1974) · Journal of the Royal Statistical Society Series B (Methodological) · doi:10.1111/j.2517-6161.1974.tb00981.x · Cited by 530
Robust estimation and outlier detection with correlation coefficients
Devlin, S. J., Gnanadesikan, R., & Kettenring, J. R. (1975) · Biometrika · doi:10.1093/biomet/62.3.531 · Cited by 385
Pseudo-Replication: Half Samples
McCarthy, P. J. (1969) · Revue de l Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402116 · Cited by 177
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An assessment of the use of partial least squares structural equation modeling in marketing research
Hair, J. F., Sarstedt, M., Ringle, C. M., & Mena, J. A. (2012) · Journal of the Academy of Marketing Science · doi:10.1007/s11747-011-0261-6 · Cited by 8,088
Efron, B., & Tibshirani, R. (1986) · Statistical Science · doi:10.1214/ss/1177013815 · Cited by 6,033
Self-citationEvaluating the use of “goodness‐of‐fit” Measures in hydrologic and hydroclimatic model validation
Legates, D. R., & McCabe, G. J. (1999) · Water Resources Research · doi:10.1029/1998wr900018 · Cited by 4,608
A leisurely look at the bootstrap, the jackknife, and cross-validation
Efron, B., & Gong, G. (1983) · The American Statistician · doi:10.1080/00031305.1983.10483087 · Cited by 3,229
Self-citationBootstrap confidence intervals
DiCiccio, T. J., & Efron, B. (1996) · Statistical Science · doi:10.1214/ss/1032280214 · Cited by 2,286
Self-citation
Metadata
- Authors
- EFRON, B.
- Affiliations
- Stanford University (US)
- Corresponding author
- EFRON, BRADLEY
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1981
- Volume
- 68
- Issue
- 3
- Pages
- 589-599
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2006820723
- Cited by
- 1,399
- References
- 16
- Citations by year
- 2026: 23 · 2025: 32 · 2024: 46 · 2023: 28 · 2022: 59 · 2021: 65 · 2020: 66 · 2019: 57 · 2018: 94 · 2017: 54 · 2016: 69 · 2015: 79 · 2014: 60 · 2013: 55 · 2012: 73
- FWCI
- 7.53
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Survey Sampling and Estimation Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
- Keywords
- standard error estimation, nonparametric statistics, jackknife, bootstrapping, subsampling, balanced repeated replication, influence function, delta method, correlation coefficient, variance estimation
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