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Samenvatting Statistiek hoorcollege 9
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Statistiek HC9Het vermogen van een toets
Het onderscheidend vermogen / power van een toets is de kans op het verwerpen van
de nulhypothese als deze in werkelijkheid niet waar is
Een groot onderscheidend vermogen is dus wenselijk want het impliceert een hoge kans
op het terecht verwerpen van de nulhypothese
Power bepalen
1. Bepaal de Zcv onder H0 (bij gegeven α en richting van de toets)
2. Bepaal het steekproefgemiddelde ẍ cv dat bij Zcv hoort onder H0
3. Reken kritieke grenswaarde ẍ cv om naar de z H1 – waarde onder H1
4. Het onderscheidend vermogen is gelijk aan de kans P (Z > z H1 | H1)
Power is bèta β
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