Suppose I have survey responses that look like this:
N=60000, Population n=1000, Total sample n=800, Users of Company X n=200, Randomly chosen from 800 and asked about their Future Use of Company X n=100, Planning to use Company X less in the future
The reason that only 200 of 800 users were asked about future use was due to them being asked about other companies as well. The survey would be far too long if they were asked about their future use of all companies that they use.
My goal is to understand the flow of future use. For example, of those individuals who are using Company X less in the future, which other companies are they planning on using more. However, with a sample of 100, there are not enough responses to other companies from the same users to other companies to get a usable proportion.
Can I, with some level of accuracy, infer the flow of business from a more robust sample of users of Company X?
Update: I think, what I may be referring to is called bootstrapping.