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The most acceptable method of establishing reliability is through test-retest reliability, which involves administering the same test to the same group of individuals at two different points in time and comparing the results. This method assesses the consistency of results over time, ensuring that the measurement tool yields stable and repeatable outcomes. Other methods include internal consistency, using statistical measures like Cronbach's alpha, and inter-rater reliability, which evaluates the agreement between different observers or raters. Each method provides valuable insights into the reliability of a measurement tool.

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