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ID:39970568
大小:323.92 KB
页数:5页
时间:2019-07-16
《Hypothesis Tests (1)》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、One-SampleHypothesisTestsHo:NullHypothesis–BenchmarkH1:AlternativeHypothesis–ThehypothesisbeingtestedTypeIErrorαP(RejectH0
2、H0isTrue)FalsePositiveTypeIIErrorβP(FailtoRejectH0
3、H0isFalse)FalseNegativePower1-βP(RejectH0
4、H0isFalse)SensitivityForagiventypeoftestandsamples
5、ize,thereisatradeoffbetweenαandβ.Theonlywaytoreducethembothsimultaneouslyistoincreasethesamplesize.Left-TailedTestTwo-TailedTestRight-TailedTest?0:?≥?0?0:?=?0?0:?≤?0?1:?0?1:?≠?0?1:?>?0TheCriticalValueistheboundarybetweentheRejectandDoNotRejectregions.Itisthestanda
6、rdizedscoreassociatedwithα.TheTestStatisticisthestandardizedscoreofthesamplestatisticbeingtested(inourcase,either?̅???).IftheTestStatisticismoreextremethantheCriticalValue,thereissufficientevidencetorejecttheH0.Thep-valueistheprobabilityassociatedwiththeTestStatisti
7、c.Whenthep-valueis8、obabilityUnknown?2??????=?associatedwitht-????−??????????2√?score.Cannotlookituponstatisticald.f.=n-1table.Testinga?????−???????????−?0Probability?????=Proportion?????−??????????√?0(1−?0)associatedwithZ-2?score.Lookituponstatisticaltable.Whentestingaproportion,youmu9、stfirstchecktodetermineifyoumayassumenormalityofthedistribution.Youmayassumenormalitywhen??≥10AND?(1−?)≥10.Two-SampleHypothesisTestsComparingTwoMeans-IndependentSamplesLeft-TailedTestTwo-TailedTestRight-TailedTest?0:?1−?2≥?0?0:?1−?2=?0?0:?1−?2≤?0?1:?1−?20?1:?1−?2≠10、?0?1:?1−?2>?0Case–TwoMeansCriticalValueTestStatisticP-Value1.Known?2?????−??????????(?̅̅1̅−?̅̅2̅)−(?1−?2)Probability?????−???????????????=associated2?2?2withZ-√1+2?1?2score.Lookituponstatisticaltable.2.Unknown?2-?????−??????????(?̅1−?̅2)−(?1−?2)ProbabilityAssumedEqu11、al?????−???????????????=associated2??2??2witht-√+?1?2score.?.?.=?1+?2−2Cannot(?1−1)?12+(?2−1)?22lookitup?2=on??1+?2−2statisticaltable.3.Un
8、obabilityUnknown?2??????=?associatedwitht-????−??????????2√?score.Cannotlookituponstatisticald.f.=n-1table.Testinga?????−???????????−?0Probability?????=Proportion?????−??????????√?0(1−?0)associatedwithZ-2?score.Lookituponstatisticaltable.Whentestingaproportion,youmu
9、stfirstchecktodetermineifyoumayassumenormalityofthedistribution.Youmayassumenormalitywhen??≥10AND?(1−?)≥10.Two-SampleHypothesisTestsComparingTwoMeans-IndependentSamplesLeft-TailedTestTwo-TailedTestRight-TailedTest?0:?1−?2≥?0?0:?1−?2=?0?0:?1−?2≤?0?1:?1−?20?1:?1−?2≠
10、?0?1:?1−?2>?0Case–TwoMeansCriticalValueTestStatisticP-Value1.Known?2?????−??????????(?̅̅1̅−?̅̅2̅)−(?1−?2)Probability?????−???????????????=associated2?2?2withZ-√1+2?1?2score.Lookituponstatisticaltable.2.Unknown?2-?????−??????????(?̅1−?̅2)−(?1−?2)ProbabilityAssumedEqu
11、al?????−???????????????=associated2??2??2witht-√+?1?2score.?.?.=?1+?2−2Cannot(?1−1)?12+(?2−1)?22lookitup?2=on??1+?2−2statisticaltable.3.Un
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