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5.2 Sensitivity analysis: Thirtytwe students in a seienee rdaserrsim were randemlj.r assigned te ene ef twe stud}.r metheds, A and B, an that HA =

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5.2 Sensitivity analysis: Thirtytwe students in a seienee rdaserrsim were randemlj.r assigned te ene ef twe stud}.r metheds, A and B, an that HA = n3 = If: students were assigned re eaeh methed. Aer several weelrs ef study, students were examined en the eeurse material with an exam designrsl te give an average seere ef 75 with a standard rmviatien ef 1|]. The seeres fer the twe greups are simmiarised by {314 = T52, as = 13} and {g = T15, as = 8.1}. Censider independent, eenjugate nermal prier distributiens fer eaeh ef it, and 5'5, with F11 = TE and 53 = ll] fer lieth greups. Fer eaeh [ame] E {[1,1],{2,2),(d,d},{8,8],[1,l),[32,32]} (er mere valuie}, ehtain Pr(fl,q 1:: Hymy} via Mente Carla sampling. Plet this prehahility as a fimetien ef (rm 2 Pa]- Drserihe hew yen might use this plat te eenvev the evidenee that 3,4 a: 5'3 te peeple ef a variety ef prier epiniens

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