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  2. p-value - Wikipedia

    en.wikipedia.org/wiki/P-value

    In his highly influential book Statistical Methods for Research Workers (1925), Fisher proposed the level p = 0.05, or a 1 in 20 chance of being exceeded by chance, as a limit for statistical significance, and applied this to a normal distribution (as a two-tailed test), thus yielding the rule of two standard deviations (on a normal ...

  3. Statistical significance - Wikipedia

    en.wikipedia.org/wiki/Statistical_significance

    The term significance does not imply importance here, and the term statistical significance is not the same as research significance, theoretical significance, or practical significance. [1] [2] [18] [19] For example, the term clinical significance refers to the practical importance of a treatment effect. [20]

  4. Misuse of p-values - Wikipedia

    en.wikipedia.org/wiki/Misuse_of_p-values

    [2] The 0.05 significance level is merely a convention. [3] [5] The 0.05 significance level (alpha level) is often used as the boundary between a statistically significant and a statistically non-significant p-value. However, this does not imply that there is generally a scientific reason to consider results on opposite sides of any threshold ...

  5. Levene's test - Wikipedia

    en.wikipedia.org/wiki/Levene's_test

    The test statistic is approximately F-distributed with and degrees of freedom, and hence is the significance of the outcome of tested against (;,) where is a quantile of the F-distribution, with and degrees of freedom, and is the chosen level of significance (usually 0.05 or 0.01).

  6. Type I and type II errors - Wikipedia

    en.wikipedia.org/wiki/Type_I_and_type_II_errors

    The solution to this question would be to report the p-value or significance level α of the statistic. For example, if the p-value of a test statistic result is estimated at 0.0596, then there is a probability of 5.96% that we falsely reject H 0. Or, if we say, the statistic is performed at level α, like 0.05, then we allow to falsely reject ...

  7. One- and two-tailed tests - Wikipedia

    en.wikipedia.org/wiki/One-_and_two-tailed_tests

    In that case a data set of five heads (HHHHH), with sample mean of 1, has a / = chance of occurring, (5 consecutive flips with 2 outcomes - ((1/2)^5 =1/32). This would have p ≈ 0.03 {\displaystyle p\approx 0.03} and would be significant (rejecting the null hypothesis) if the test was analyzed at a significance level of α = 0.05 ...

  8. Chi-squared distribution - Wikipedia

    en.wikipedia.org/wiki/Chi-squared_distribution

    A significance level of 0.05 is often used as the cutoff between significant and non-significant results. The table below gives a number of p -values matching to χ 2 {\displaystyle \chi ^{2}} for the first 10 degrees of freedom.

  9. Duncan's new multiple range test - Wikipedia

    en.wikipedia.org/wiki/Duncan's_new_multiple_range...

    The new multiple range test proposed by Duncan makes use of special protection levels based upon degrees of freedom.Let , = be the protection level for testing the significance of a difference between two means; that is, the probability that a significant difference between two means will not be found if the population means are equal.