Chapter 8 - Quality of tests

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Last updated 12:26 PM on 5/30/26
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6 Terms

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Type I error

To incorrectly reject H₀

(actual significance level)

<p>To incorrectly reject H₀</p><p>(actual significance level)</p>
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Type II error

To incorrectly accept H₀

<p>To incorrectly accept H₀</p>
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Size

Probability of rejecting H₀, when it’s true

Smaller size = better test

<p>Probability of rejecting H₀, when it’s true</p><p>Smaller size = better test </p>
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Power

Probability of rejecting H₀, when it’s false

Larger power = better test

<p>Probability of rejecting H₀, when it’s false</p><p>Larger power = better test</p>
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Power function

Power of the test written algebraically

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Uses of the power function

With a graph, you can find where the power is the largest

Compare hypothesis tests, the one with the larger power is a better test

Check if the power of a test is above 0.5 at a specific probability or lambda value