Testing the hypothesis

Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Hypothesis Testing ,[object Object]

Example - Efficacy Test for New drug ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example - Efficacy Test for New drug ,[object Object],[object Object],[object Object]

Sampling Distribution of Difference in Means ,[object Object],[object Object],[object Object]

Elements of a Hypothesis Test ,[object Object],[object Object]

P -value (aka Observed Significance Level) ,[object Object],[object Object]

Large-Sample Test H 0 :  1 -  2 =0 vs H 0 :  1 -  2 >0 ,[object Object],[object Object],[object Object]

Example - Botox for Cervical Dystonia ,[object Object],[object Object],[object Object],[object Object],[object Object],Source: Wissel, et al (2001)

Example - Botox for Cervical Dystonia Test whether Botox A produces lower mean Tsui scores than placebo (  = 0.05) Conclusion: Botox A produces lower mean Tsui scores than placebo (since 2.82 > 1.645 and P -value < 0.05)

2-Sided Tests ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Power of a Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Power of a Test ,[object Object],[object Object],[object Object],[object Object]

Power of a Test Distribution (H 0 ) Distribution (H A )

Power of a Test ,[object Object],[object Object],[object Object]

Sample Size Calculations for Fixed Power ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example - Rosiglitazone for HIV-1 Lipoatrophy ,[object Object],[object Object],[object Object],[object Object],[object Object],Source: Carr, et al (2004)

Confidence Intervals ,[object Object],[object Object],[object Object]

(1-  )100% Confidence Interval for  1 -  2 ,[object Object],[object Object],[object Object]

Example - Viagra for ED ,[object Object],[object Object],[object Object],[object Object],95% CI for  1 -  2 : Source: Carson, et al (2002)

Testing the hypothesis

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