Priors for Pilot Study
Posted: Tue Feb 28, 2023 1:03 pm
design
;alts = opt1*, opt2*, opt3*
? efficient design
;eff = (mnl, d)
;alg = swap
;rows = 15
;model:
U(opt1) = b1.dummy[0|0] * x1[0,1,2]
+ b2.dummy[0] * x2[0,1]
+ b3.dummy[0] * x3[0,1]
+ b4.dummy[0|0] * x4[0,1,2]
+ b5.dummy[0|0] * x5[0,1,2]
+ b6.dummy[0|0] * x6[0,1,2]
/
U(opt2) = b1 * x1
+ b2 * x2
+ b3 * x3
+ b4 * x4
+ b5 * x5
+ b6 * x6
/
U(opt3) = b1 * x1
+ b2 * x2
+ b3 * x3
+ b4 * x4
+ b5 * x5
+ b6 * x6
$
I had a question about the 1)pilot and 2)priors. Is a sample size of 30 for the pilot enough for us to have enough information to have a rough estimate of the priors? (For the main study we have a sample of 100 respondents). Regarding the priors, I will set them at 0 for the pilot, is this good enough or should I set them to near zero priors?
;alts = opt1*, opt2*, opt3*
? efficient design
;eff = (mnl, d)
;alg = swap
;rows = 15
;model:
U(opt1) = b1.dummy[0|0] * x1[0,1,2]
+ b2.dummy[0] * x2[0,1]
+ b3.dummy[0] * x3[0,1]
+ b4.dummy[0|0] * x4[0,1,2]
+ b5.dummy[0|0] * x5[0,1,2]
+ b6.dummy[0|0] * x6[0,1,2]
/
U(opt2) = b1 * x1
+ b2 * x2
+ b3 * x3
+ b4 * x4
+ b5 * x5
+ b6 * x6
/
U(opt3) = b1 * x1
+ b2 * x2
+ b3 * x3
+ b4 * x4
+ b5 * x5
+ b6 * x6
$
I had a question about the 1)pilot and 2)priors. Is a sample size of 30 for the pilot enough for us to have enough information to have a rough estimate of the priors? (For the main study we have a sample of 100 respondents). Regarding the priors, I will set them at 0 for the pilot, is this good enough or should I set them to near zero priors?