02-05-2017 08:33 PM
Hi SAS community members,
I am trying to find out the values of two independent variables that make the value of dependent variable is minimum.
For example, here is my equation: EC= q1(x1)c1+q2(x2)c2
what i want to do is find out the values of x1 and x2 that make EC is the minimum.
Could anyone please help me for this .
Many thanks for your help.
02-05-2017 09:21 PM
1) please post a smaple of your data for test.
2) how many observationsare in your dataset ?
3) have you tried to create a sas code ? If yes - post it.
02-05-2017 11:23 PM - edited 02-05-2017 11:40 PM
Thank you very much for your prompt response. Some variables of the equation are known,
The sample data as follow:
|Global Company||em||Estimated Probability|
em=1means the observations is a manipulator, 0 otherwise, Estimated Probability is the estmated probabilty calculated by a Logit model.
I need to find a cut-off value for Estimated Probability that make EC has the minimum value
where q1=0.01, c1=1 , q2=0.99, c2=20
x1 is the observed Type I error, x2 is the observed the Type II error.
I have 10,000 observations.
Thank you again for your reply.
02-05-2017 11:31 PM
Are q1 and q2 continuous functions? If so, can you find their derivative?
Do you have a licence for SAS/OR?
02-05-2017 11:38 PM - edited 02-05-2017 11:44 PM
Hi PG STATS,
Thank you for your reply.
q1 and q2 are assumed probabilities, and not continuous. For example, here i assume the assuemd probabilty for manipulator q1=0.01 (1%), and the assumend probabilty for non-manipulator is q2=0.99 (99%).
Yes, I have the licence for SAS/OR.
Thank you for your help.