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comment Using confidence interval from full sample to test statistics from a small sub-sample?
In other words, what I am expecting to find is that the subgroup is not predictable and does not have the same distribution compared to the group at large, precisely because the subgroup is not random in a certain theoretically interesting way.
Sep
30
comment Using confidence interval from full sample to test statistics from a small sub-sample?
@MichaelChernick: Thank you for your comments. Let's say we don't know that Chicago is more democratic, and that's what we want to know. You find that 2/5 people in the state are democrats. You get a confidence interval, and then find that in Chicago the proportion is higher than that confidence interval, would it be valid to say that Chicago is in fact more democratic than the state at large? Keeping in mind that this is all from the same poll. I'm not trying to predict anything as such, but merely trying to tell if the subgroup is in fact significantly different from the group overall.
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asked Using confidence interval from full sample to test statistics from a small sub-sample?
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comment Explaining to laypeople why bootstrapping works
@cardinal Thanks, I updated the original post. Hopefully it is more clear. :)
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comment Explaining to laypeople why bootstrapping works
I see, so if I understand you, then this technique assumes that the sample is an adequate model of the population, and therefore that resampling over that sample on a large enough scale will reveal something about the population, but only to the extent that the original sample is a good one. Now that I put it that way it seems almost obvious...
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comment Explaining to laypeople why bootstrapping works
Thanks! This much I understand. I am particularly wondering how it is that resampling from a sample of the population helps to understand the underlying population. If we are resampling from a sample, how is it that we are learning something about the population rather than only about the sample? There seems to be a leap there which is somewhat counter-intuitive.
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revised Explaining to laypeople why bootstrapping works
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