Significância estatística: diferenças entre revisões
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Revisão das 21h06min de 15 de janeiro de 2005
Em Estatística, um resultado é significante se for improvável que tenha ocorrido por acaso caso uma determinada hipótese de base seja verdadeira, mas não sendo improvável caso a hipótese base seja falsa. ´
Mais concretamente, no teste de hi
More precisely, in traditional frequentist statistical hypothesis testing, the significance level of a test is the maximum probability of accidentally rejecting a true null hypothesis (a decision known as a Type I error). The significance of a result is also called its p-value.
For example, one may choose a significance level of, say, 5%, and calculate a critical value of a statistic (such as the mean) so that the probability of it exceeding that value, given the truth of the null hypothesis, would be 5%. If the actual, calculated statistic value exceeds the critical value, then it is significant "at the 5% level".
If the significance level is smaller, a value will be less likely to be more extreme than the critical value. So a result which is "significant at the 1% level" is more significant than a result which is "significant at the 5% level". However a test at the 1% level is more likely to have a Type II error than a test at the 5% level, and so will have less statistical power. In devising a hypothesis test, the tester will aim to maximize power for a given significance, but ultimately have to recognise that the best which can be achieved is likely to be a balance between significance and power, in other words between the risks of Type I and Type II errors.