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Testing Statistical Hypotheses
Abstract
This chapter presents the basic concepts and results of the theory of testing statistical hypotheses. The generalized likelihood ratio tests that are discussed can be applied to testing in the presence of nuisance parameters. Besides the likelihood ratio tests, for testing in the presence of nuisance parameters one can use conditional tests. The chapter also presents the motivation for steps of the proof of the randomization principle theorem. It considers the case of a single observation, but the extension to the case of n observations will be obvious. The chapter presents an approach that requires unbiasedness and explains how the theory of testing statistical hypotheses is related to the theory of confidence intervals. It reviews the major testing procedures for parameters of normal distributions and is intended as a convenient reference for users rather than an exposition of new concepts or results.
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Cited by
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Storey, J. D., & Tibshirani, R. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1530509100 · Cited by 9,692
Estimating causal effects of treatments in randomized and nonrandomized studies
Rubin, D. B. (1974) · Journal of Educational Psychology · doi:10.1037/h0037350 · Cited by 9,436
(2012) · MPG.PuRe (Max Planck Society) · doi:10.5555/2188385.2188410 · Cited by 3,603
Practical Black-Box Attacks against Machine Learning
Papernot, N., McDaniel, P., Goodfellow, I., Jha, S., Celik, Z. B., & Swami, A. (2017) · Proceedings of the 2017 ACM on Asia Conference on Computer and Communications Security · doi:10.1145/3052973.3053009 · Cited by 3,495
Fleiss, J. L., & Cohen, J. (1973) · Educational and Psychological Measurement · doi:10.1177/001316447303300309 · Cited by 3,354
Metadata
- Venue
- Wiley Series in Probability and Statistics
- Publisher
- Wiley
- Published
- 2021-01-07
- Pages
- 373-428
- ISSN
- 1940-6347 (ISSN-L)
- OpenAlex
- W2045638068
- Cited by
- 5,106
- References
- 0
- Type
- other
- Language
- en
- Open access
- closed
- Licence
- doi.wiley.com/10.1002/tdm_license_1.1 (tdm)
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