Regression in survey analysis
17 important questions on Regression in survey analysis
Why is regression used in survey analysis?
What is a descriptive model in survey analysis?
where F is a function that depends on X and the model parameters.
The mean of the residuals is equal to zero.
What is a direct estimator?
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What is ratio estimation?
Why is ratio estimation used?
When is a ratio estimator effective?
What is a regression estimator?
What advantage has linear regression over ratio estimation?
Is the linear regression estimator unbiased?
The variance of the linear regression estimator is given in the picture. What can be concluded from this formula about when the precision of the estimator is high?
More complex sampling schemes can complicate the computation of regression parameters. What do the estimated regression parameters need to minimize?
What is a poststratification estimator?
What are three differences between model-based and design-based estimation?
1. Residual analysis is important (to get correct SE).
2. Valid results when model fits data (model also applies for observations not observed).
3. Observations are usually not weighted (e.g., in linear regression).
Design-based
1. Residual analysis is not important (SE is design-based).
2. Valid results regardless of model fit.
3. Inclusion probabilities (weights) will influence the estimates.
What is the definition of a variance for a model-based estimator and for a design-based estimator?
Design-based estimator: the variance is the average squared deviation of the estimate and the expected value, averaged over all possible samples under the design.
What are three kinds of model variables in linear regression?
2. Confounding variables: to be included to account for uninteresting associations, to unbias the relationship that is of interest.
3. Precision variables: to be included to reduce standard errors. They explain variability in Y without affecting the interpretation of the regression parameters.
What is an auxiliary variable?
How is the variance of the regression estimator related to the variance of the direct estimator?
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