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Statistical Errors

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Power of a Test

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The probability that the test correctly rejects a false null hypothesis.

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Confidence Level

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The percentage of confidence intervals (constructed under the same conditions) that contain the true parameter value.

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Effect Size

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A quantitative measure of the magnitude of a phenomenon, used to determine the sample size required for an experiment.

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Significance Level (α\alpha)

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The probability of making a Type I error; the threshold for deciding when to reject the null hypothesis.

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Sampling Error

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The difference between a sample statistic and its corresponding population parameter, caused by the fact that the sample is not a perfect representation of the population.

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Bias (in Estimation)

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A systematic deviation of an estimator's expected value from the true value of the parameter being estimated.

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Type II Error (False Negative)

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Happens when a false null hypothesis fails to be rejected.

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Standard Error

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The standard deviation of the sampling distribution of a statistic, most commonly the mean.

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Type I Error (False Positive)

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Occurs when a true null hypothesis is incorrectly rejected.

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p-value

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The probability, under the null hypothesis, of obtaining a result at least as extreme as the one actually observed.

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