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  2. Foundations of statistics - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_statistics

    Fisher's theory of fiduciary inference is flawed Paradoxes are common; A purely probabilistic theory of tests requires an alternative hypothesis. Fisher's attacks on Type II errors have faded with time. In the intervening years, statistics have separated the exploratory from the confirmatory.

  3. Type III error - Wikipedia

    en.wikipedia.org/wiki/Type_III_error

    In 1970, L. A. Marascuilo and J. R. Levin proposed a "fourth kind of error" – a "type IV error" – which they defined in a Mosteller-like manner as being the mistake of "the incorrect interpretation of a correctly rejected hypothesis"; which, they suggested, was the equivalent of "a physician's correct diagnosis of an ailment followed by the ...

  4. Working hypothesis - Wikipedia

    en.wikipedia.org/wiki/Working_hypothesis

    For Putnam, the working hypothesis represents a practical starting point in the design of an empirical research exploration. A contrasting example of this conception of the working hypothesis is illustrated by the brain-in-a-vat thought experiment. This experiment involves confronting the global skeptic position that we, in fact, are all just ...

  5. Hypothetico-deductive model - Wikipedia

    en.wikipedia.org/wiki/Hypothetico-deductive_model

    investigations that do or do not provide a potentially falsifying test of the hypothesis. [7] Evidence contrary to a hypothesis is itself philosophically problematic. Such evidence is called a falsification of the hypothesis. However, under the theory of confirmation holism it is always possible to save a given hypothesis from falsification ...

  6. Noticing hypothesis - Wikipedia

    en.wikipedia.org/wiki/Noticing_hypothesis

    The noticing hypothesis has received criticism from John Truscott, on two grounds. First, he argued that the basis for the noticing hypothesis in cognitive psychology is unclear. Second, he argued that there is even less certainty over how to interpret the noticing hypothesis in the field of language acquisition.

  7. Sample size determination - Wikipedia

    en.wikipedia.org/wiki/Sample_size_determination

    The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample. In practice, the sample size used in a study is usually determined based on the cost, time, or convenience of collecting the data, and the need for it to offer sufficient statistical power. In complex studies ...

  8. Testability - Wikipedia

    en.wikipedia.org/wiki/Testability

    In short, a hypothesis is testable if there is a possibility of deciding whether it is true or false based on experimentation by anyone. This allows anyone to decide whether a theory can be supported or refuted by data. However, the interpretation of experimental data may be also inconclusive or uncertain.

  9. Lindley's paradox - Wikipedia

    en.wikipedia.org/wiki/Lindley's_paradox

    Naaman [3] proposed an adaption of the significance level to the sample size in order to control false positives: α n, such that α n = n − r with r > 1/2. At least in the numerical example, taking r = 1/2, results in a significance level of 0.00318, so the frequentist would not reject the null hypothesis, which is in agreement with the ...