This article will survey issues in analyzing complex survey data and describe some of the capabilities of Stata for such analyses. We will briefly review key elements of survey design and explain the effects of different design features on bias and variance. We compare different methods of variance estimation for stratified and clustered samples and discuss the handling of survey weights. We will also give examples for the practical importance of Stata's survey capabilities.
BinderD. A.1983. On the variances of asymptotically normal estimators from complex surveys. International Statistical Review51: 279–292.
3.
FranciscoC., and FullerW.1991. Quantile estimation with a complex survey design. Annals of Statistics19: 454–469.
4.
GrovesR.1989. Survey Errors and Survey Costs.New York: Wiley.
5.
GrovesR. M., FowlerF. J., CouperM. P., LepkowskiJ. M., SingerE., and TourangeauR.2004. Survey Methodology.Hoboken, NJ: Wiley.
6.
JudkinsD. R.1990. Fay's method for variance estimation. Journal of Official Statistics6: 223–239.
7.
KishL.1965. Survey Sampling.New York: Wiley.
8.
KostanichD., and DippoC.2002. Current population survey: Design and methodology. Technical Report 63RV, Department of Commerce, Washington, DC.
9.
KrewskiD., and RaoJ.1981. Inference from stratified samples: Properties of the linearization, jackknife, and balanced repeated replication methods. Annals of Statistics9: 1010–1019.
10.
LittleR. J. A., and RubinD. B.2002. Statistical Analysis with Missing Data. 2nd ed. New York: Wiley.
11.
RustK., and KaltonG.1987. Strategies for collapsing strata for variance estimation. Journal of Official Statistics3: 69–81.
12.
RustK., and RaoJ.1996. Variance estimation for complex surveys using replication. Statistical Methods in Medical Research5: 283–310.
13.
SärndalC.-E., SwenssonB., and WretmanJ.1992. Model Assisted Survey Sampling.New York: Wiley.
14.
SchnellR., and KreuterF.2000. Das DEFECT-Projekt: Sampling-Errors und Nonsampling-Errors in Komplexen Bevölkerungsstichproben. ZUMA-Nachrichten47: 89–101.
15.
SchnellR.2005. Separating interviewer and sampling-point effects. Journal of Official Statistics21: 1–23.
16.
ShaoJ.1996. Resampling methods in sample surveys (with discussion). Statistics27: 203–254.
17.
StataCorp. 2005. Stata 9 Survey Data Reference Manual.College Station, TX: Stata Press.
18.
ValliantR.1993. Post-stratification and conditional variance estimation. Journal of the American Statistical Association88: 89–96.
19.
YungW., and RaoJ.1996. Jackknife linearization variance estimators under stratified multi-stage sampling. Survey Methodology22: 23–31.