Paul,
In thetas, SE% refers to SE% of SD while in OMEGAs it refers to
variances (SD^2). To make them identical, use
IWRES=(DV-IPRED)/SQRT(F*F*THETA(3)+THETA(4))
Y=F*(1+SQRT(THETA(3))*ERR(1))+SQRT(THETA(4))*ERR(2).
also, if you take the square of SD SE%, you will see that it nearly
matches SE% for OMEGAs, as it should
Leonid
--------------------------------------
Leonid Gibiansky, Ph.D.
President, QuantPharm LLC
web: www.quantpharm.com
e-mail: LGibiansky at quantpharm.com
tel: (301) 767 5566
Paul Westwood wrote:
Dear All,
I'm working on a one-compartment iv model. I have used a model for the
IWRES from a discussion from May 2001 (thanks to Mats Karlsson, Niclas
Jonsson and Nick Holford), where you use thetas to obtain the sigmas
when using a combined residual model:
IPRED=F
IRES=DV-IPRED
IWRES=(DV-IPRED)/SQRT(F*F*THETA(3)*THETA(3)+THETA(4)*THETA(4))
Y=F*(1+THETA(3)*ERR(1))+THETA(4)*ERR(2).
where you then fix the sigmas to 1. I obtained the following results for
a particular base model:
ETA = 3.16 28.1 0.0804 0.163
ETASD = 1.23693 1.42478
ERRSD = 1 1
THETA:se% = 23.9 32.0 39.9 23.3
OMEGA:se% = 18.4 33.8
SIGMA:se% = 0.0 0.0
I then ran the same model but using the normal code in the $ERROR
section to see if there was any difference in the final estimates:
IPRED=F
IRES=DV-IPRED
Y=F*(1+ERR(1))+ERR(2)
and obtained these results:
THETA = 3.16 28.1
ETASD = 1.23693 1.42478
ERRSD = 0.0803741 0.163095
THETA:se% = 23.5 32.0
OMEGA:se% = 18.5 33.9
SIGMA:se% = 79.3 45.9
Here are few questions: 1.Can anyone tell me why the standard errors for
the thetas in model 1 and the standard errors for the sigmas in model 2
differ so significantly? 2.Why does the algorithm used to obtain the
standard errors for the sigmas differ so much from that used to obtain
standard errors for the thetas, and how? 3.What are the implications
when then using INTERACTION? 4....and finally, which model should i use?
Thankyou in advance for any light that can be shed.
Best,
Paul Westwood.