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Statistics Chapter 21
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7
Mathematics
12th Grade
02/09/2010

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Term
Alpha level
Definition
the threshold P-value that determines when we reject a null hypothesis; if we observe a statistic who P-value based on the null hypothesis is less than a, we reject that null hypothesis
Term
Statistically significant
Definition
when the P-value falls below the alpha level, we say that the test is "statistically significant" at that alpha level
Term
Significance level
Definition
the alpha level is also called the significance level, most often in a phrase such as a conclusion that a particular test is "significant at the 5% significance level"
Term
Type I error
Definition
the error of rejecting a null hypothesis when in fact it is true (false positive); the probability of a Type I error is a
Term
Type II error
Definition
the error of failing to reject a null hypothesis when in fact it is false (false negative); most commonly denoted B and depends on the effect size
Term
Power
Definition
the probability that a hypothesis test will correctly reject a false null hypothesis is the power of the test; to find power, we must specity a particular alternative parameter value as the "true" value; for any specific value in the alternative, the power is 1-B
Term
Effect size
Definition
the difference between the null hypothesis value and true value of a model parameter
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