By Sarjinder Singh, Stephen A. Sedory, Maria Del Mar Rueda, Antonio Arcos, Raghunath Arnab
A New proposal for Tuning layout Weights in Survey Sampling: Jackknifing in thought and Practice introduces the hot idea of tuning layout weights in survey sampling by means of proposing 3 strategies: calibration, jackknifing, and imputing the place wanted. This new technique permits survey statisticians to improve statistical software program for reading info in a extra accurately and pleasant means than with latest options.
- Explains the way to calibrate layout weights in survey sampling
- Discusses how Jackknifing is required in layout weights in survey sampling
- Describes how layout weights are imputed in survey sampling
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Extra info for A new concept for tuning design weights in survey sampling : jackknifing in theory and practice
Thus, intervals desired from the newly tuned jackknife estimator of the population mean of the weight of the pumpkins shows quite good coverage if the sample size is small, which suggests good reliability of the newly tuned methodology in real practice. R, was used to study the coverage by the newly tuned jackknife estimator based on a chi-square type distance function. max>YB)/nreps, 4)->cov6 cat (n, cov1, cov2, cov3, cov4, cov5, cov6, ‘\n’) } Tuning of jackknife estimator 37 In the preceding R code, the variables cov4, cov5, and cov6 give the actual coverage of the nominal 90%, 95%, and 99% confidence interval when using the traditional linear regression estimator, assuming SRSWR sampling.
N À 1Þ n xj À xn yj À yn À ðn À 2Þ ðn À 1Þ ðn À 2Þsxy r ð jÞ ¼ r sﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á2 sﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á2 n xj À xn n yj À yn ðn À 1Þ ðn À 1Þ À À ðn À 2Þ ðn À 1Þ ðn À 2Þs2x ðn À 2Þ ðn À 1Þ ðn À 2Þs2y with ðn À 1Þsxy ¼ X i2s ðn À 1Þs2y ¼ X i2s ðxi À xn Þ ðyi À yn Þ, ðn À 1Þs2x ¼ ðyi À yn Þ2 , n xn ¼ X i2s xi , n yn ¼ X ðxi À xn Þ2 , i2s X À Á yi and r ¼ sxy = sx sy i2s Report any changes observed in the resultant estimators.
This is a basic assumption made in survey sampling when applying ratio or regression type estimators. R, to generate the preceding illustration. 7 Problem of negative weights It should be noted that with this method, individual weights may be negative, which may lead to a large number of rejections of samples or to a negative estimate of the average weight of pumpkins. To overcome this problem, we consider tuning the estimator with a dual-to-empirical log-likelihood (dell) distance function. 55) are called a pivot.
A new concept for tuning design weights in survey sampling : jackknifing in theory and practice by Sarjinder Singh, Stephen A. Sedory, Maria Del Mar Rueda, Antonio Arcos, Raghunath Arnab