O'Reilly logo

Understanding and Applying Basic Statistical Methods Using R by Rand R. Wilcox

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 5SAMPLING DISTRIBUTIONS

This chapter deals with the notion of a sampling distribution, which plays a fundamental role when trying to generalize from a sample to a population of individuals or things. Sampling distributions also provide perspective on the relative merits of the location estimators introduced in Chapter 2.

As previously explained, the population mean c05-math-0001 represents the average of all individuals or things that are of interest in a particular study. But typically not all individuals of interest can be measured, in which case the sample mean, c05-math-0002, is used to estimate the population mean c05-math-0003. The sample mean is the average based on a subset of the population of interest, and so it will generally be the case that the sample mean is not equal to the population mean. That is, generally c05-math-0004. Consequently, an issue of fundamental importance is how well the sample mean estimates the population mean. If the sample mean is c05-math-0005, we estimate that the population mean is 23, but can we be reasonably ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required