TRAINING KEY 158: The JRR technique

Practical Methods for Design and Analysis of Complex Surveys.
Risto Lehtonen and Erkki Pahkinen

TRAINING KEY 158: The JRR technique



INTRODUCTION

Example 5.3. Similar to the other sample re-use methods and the linearization method, the JRR technique (Jackknife repeated replications) can be used for variance approximation of a nonlinear estimator under a complex sampling design. In this Training Key we apply the JRR technique for variance approximation of a subpopulation proportion estimator for the binary response variable CHRON (chronic morbidity) and a subpopulation mean estimator for the continuous response variable SYSBP (systolic blood pressure) in the MFH survey. The subgroup considered is males aged 30-64 years.



A) JRR TECHNIQUE

In this part we will demonstrate how the estimation of the variance of a combined ratio type proportion or mean estimator can be carried out with the JRR technique. The reason for the use of an approximate variance estimator is that the proportion and mean estimators should be treated here as nonlinear estimators of type y/x where both the numerator y and the denominator x are random variables. The denominator x is random because the sampling design of the MFH Survey is a stratified two-stage design where the cluster sample sizes are not fixed in advance, and the subgroup size is not fixed.
 

 


B) INTERACTIVE SAS USE

Please download the SAS macro JRR for your own further JRR technique training. Instructions will be given in the code once you download it.

NOTE! You need to have access to SAS in your computer.