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4 votes
1 answer
101 views

Are there coventions on reporting weighted sample sizes?

Suppose I analyze survey data and calculate weighted means. Should I report the sample size if it differs from the unweighted sample size, as would be the case with non-normalized weights? It seems ...
mb1994's user avatar
  • 41
3 votes
0 answers
85 views

What is the (Ratio estimator for the) covariance of two weighted means? [closed]

In a previous question I've asked How to estimate the (approximate) variance of the weighted mean?, specifically, how to prove the following formula: $$ \widehat{\sigma_{\bar{y}_w}^2} = \frac{1}{(\sum{...
Tal Galili's user avatar
  • 21.8k
7 votes
2 answers
2k views

How to estimate the (approximate) variance of the weighted mean?

Background: weighted mean In the context of survey statistics it so happens that a sample of respondents from a survey are fit some weights to adjust their answers to the general population. These ...
Tal Galili's user avatar
  • 21.8k
7 votes
1 answer
1k views

How can I use Propensity Scores to adjust for survey non-response bias?

Say I estimate the probability that each member of my target population responds to a survey using propensity scores. I am having a hard time finding a clear explanation of how I can use the ...
Alex's user avatar
  • 497
2 votes
1 answer
53 views

How to decide if to use weights or not when estimating some $\mu$ of a population that has sub-populations with different $\mu_i$?

Setting and Notation Let's assume we have a population with (for example) two sub-population. Say, males and females. In the population they are split 50%-50%. We care about the population level ...
Tal Galili's user avatar
  • 21.8k
4 votes
1 answer
204 views

How to (statistically) test for the difference in the mean of an outcome variable when using weights, vs not using them?

Notations $y$ = outcome variable of interest. $w$ = weights to use on outcome $y$ (estimated with some method, be it post-stratification, IPW, or something else) $\bar y$ = summary statistic of ...
Tal Galili's user avatar
  • 21.8k
1 vote
0 answers
456 views

How to weigh samples (representative of population) when comparing group means

I want to clarify my understanding of using sample weights when comparing means of sub-groups of a sample. Here is an artificial case with data that can be replicated in r (see code below): Let’s ...
TimTeaFan's user avatar
  • 111
1 vote
2 answers
184 views

Permissible to use survey data in generating sampling weights?

Summary: Can I use non-population information (e.g. representative proportions from another survey) when calculating sampling weights? If so how might one account for the sampling error? I'm ...
Mike Onder's user avatar