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September 30, 2025Open Access

Simultaneous testing of hypotheses and alternatives

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Authors

PKP. A. KoldanovAKA. P. Koldanov

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Overview

Proposing a method for simultaneous testing reveals that closure procedures show significant outcomes in hypotheses and alternatives.

Key Points

  • Simultaneous testing of hypotheses and alternatives can lead to significant statistical findings.
  • Closure method offers single-step procedures when hypotheses and alternatives are freely combinable.
  • The failure to meet the condition of free combination can lead to loss in results.
  • Average insignificant conclusions impact the risk function of one-step procedures linked to the loss function.

Cite This Study

Koldanov et al. (2025) studied this question.

synapsesocial.com/papers/68dc1e358a7d58c25ebb171ahttps://doi.org/10.48550/arxiv.2509.10197
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