Lesson 5: Auxillary Data and Regression Estimation

Overview Section

This lesson discusses when and how to use regression estimation. An example for using regression is given. Then we compare the regression estimate with simply using the sample mean, not taking advantage of the auxiliary information. To illustrate that one has to choose the right model, we use the ratio estimate for the example even though the condition for using the ratio estimate was not satisfied. And, not surprisingly, ratio estimate performs poorly since it is not the appropriate model for that data set.

 Lesson 5:  Ch. 8.1 of Sampling by Steven Thompson, 3rd edition

Upon completion of this lesson you should be able to:

  • know why and when to use regression estimates,
  • know how to check the condition to see whether one can use the regression estimate,
  • compute the regression estimate and its estimated variance,
  • compute confidence interval based on regression estimate,
  • see that the regression estimate does perform better than the expansion estimate when auxiliary data is useful, and
  • see that the regression estimate does perform better than the ratio estimate when the condition for using the ratio estimate is not satisfied