Question

Proiems. vonumuous Dutcomes Jan 414 2. Consider testing the difference between plasma cholesterol levels in two groups. Assume that oʻ = 0.25 is a reasonable variance estimate, and each group will have n = 30 participants. What is the minimum detectable difference if a =0.05 (two- sided) and power is 0.90? a. Calculate minimum detectable difference in all combinations of the following cases: n=30, n=100, a = 0.01, a = 0.05, power=0.80, and power = 0.90.

Please show ur work

Answer 1

using 2 Calculating minimul ditetable difference Valk for mula given L=005, oso 1-B = ogo 52 - 0.25 n= 30 , pepelare MDD +25) 2+2.)? 30 in= 30,2- 0, 1-B = 0.30 MOB (34*34)*. MDD (3.4+ 0.25 30 .0620452 0.6202 2 (11) n = 100 x = 0.0 1-B= 0.80 mop - (34734). Po 034 veo (11) n = 30, a = 0.05 , 1-3 = 0.80 MOD= [(3.473.4)? or5 = 0.62 0752 30 Cu m= 100 m = 1 x = 0.05, 1-ß = 0.80 13:4+3-4%. Ons = 134

N n=30 2-0.01 -B= oigo MDD = |(3473.232.025 = 0.511208 30 (V) n5100 L=0.0), I-B=o.go. MDD6412037 - 0.28 (all) n = 30 x = 0.05 I-B=o.go. M99 = 34+2,20 (3.47 20.25 510 30 - 17408 (vill) n=1oo 2=0.05 I-B= ogos Mop-|(3.4+2-), 028