From miss rate back to power

Question

A monitoring test fails to catch a real fault 15\% of the time (that is, its type II error rate is \beta = 0.15). What is the power of this test?

Accepted Answer

Power is one minus the miss rate. Power and \beta always add to 1 when the effect is real, so 	ext{power} = 1 - \beta = 1 - 0.15 = 0.85. So the monitor correctly catches a real fault about 85% of the time. Takeaway. Power and the type II error rate are two sides of the same coin: 	ext{power} = 1 - \beta = 0.85 here.

From miss rate back to power

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