No, I am not aware of any techniques for claiming that snowball sampling is representative. To simplify, imagine that your original seed for the sample is statistically "unusual," and that this person selects others who like themselves are statistically unusual. This process would produced a biased sample, and there is no way to correct for it.
You have to accurately locate the epistemological position of your research question/ world view. Never view constructivism through the lens of positivism.
In snowball sampling, true statistical representativeness is difficult to achieve due to its non-random nature. While there isn’t a specific statistical test to confirm representativeness, researchers can:
1. Compare the sample’s characteristics with known population data (if available) to assess representativeness.
2. Start with multiple initial participants (“seeds”) to increase diversity.
3. Apply statistical adjustments like post-stratification weighting to better align the sample with the population.