The problem with a convenience sample is that everything you try to do with it may be substantially biased. To be "representative" of your population, you most likely need randomized sampling. It is also possible to do well, if you are careful, if you have regressor data, to model your population, but that involves considerations of which you likely are unaware, and based on your question, I doubt would apply. Still, if you have regressor data on the entire population, you may find something on my ResearchGate pages of interest.
You might want to see some of the following, among other sources:
Särndal, CE, Swensson, B. and Wretman, J. (1992), Model Assisted Survey Sampling, Springer-Verlang.
Finite Population Sampling and Inference: A Prediction Approach, 2000, Richard Valliant, Alan H. Dorfman, Richard M. Royall,
Wiley Series in Probability and Statistics.
And for nonprobability sampling in general:
J. Michael Brick on Inference from Nonprobability Sampling:
PS - If you divide your population by some meaningful categories, you may be able to see how results from your convenience sample appear to differ, for categories for which you have a good deal of data.
Article The Future of Survey Sampling
Article Summary Report of the AAPOR Task Force on Non-probability Sampling
The problem with a convenience sample is that everything you try to do with it may be substantially biased. To be "representative" of your population, you most likely need randomized sampling. It is also possible to do well, if you are careful, if you have regressor data, to model your population, but that involves considerations of which you likely are unaware, and based on your question, I doubt would apply. Still, if you have regressor data on the entire population, you may find something on my ResearchGate pages of interest.
You might want to see some of the following, among other sources:
Särndal, CE, Swensson, B. and Wretman, J. (1992), Model Assisted Survey Sampling, Springer-Verlang.
Finite Population Sampling and Inference: A Prediction Approach, 2000, Richard Valliant, Alan H. Dorfman, Richard M. Royall,
Wiley Series in Probability and Statistics.
And for nonprobability sampling in general:
J. Michael Brick on Inference from Nonprobability Sampling:
PS - If you divide your population by some meaningful categories, you may be able to see how results from your convenience sample appear to differ, for categories for which you have a good deal of data.
Article The Future of Survey Sampling
Article Summary Report of the AAPOR Task Force on Non-probability Sampling