Chapter10_R_f10 - Statistics 3011, Course Notes Supplement...

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Unformatted text preview: Statistics 3011, Course Notes Supplement 6 November 29, 2010 Chapter 10 Recap and R Examples In Chapter 10 we discussed methods of statistical inference to compare two population means. We learned how to measure the evidence against the theory that the two means are equal (hypothesis test), or how to generate a range of plausible values for the difference between the means (confidence interval). Matched Pairs vs. Independent Samples The formulas used to compare two means depend on whether the data represent matched pairs or independent samples. How do we know whether the data represent matched pairs or independent samples? Examples of matched pairs: • • Examples of independent samples: • • Methods for Independent Samples The methods to compute confidence intervals and perform hypothesis tests for two inde- pendent samples are based on the fact that, when x 1 and x 2 are sample averages from two independent samples: 1 Statistics 3011, Course Notes Supplement 6 November 29, 2010 Example: Political Views of Male and Female Students Let’s use the methods for independent samples to compare the political views of male and female students at the U. The data we will use are from the first class survey. By applying these methods, we are assuming that the male responses represent a random sample from the population of all male students at the U, and the female responses represent a random sample from the population of all female students at the U. Why are these data independent samples, and not matched pairs?...
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Chapter10_R_f10 - Statistics 3011, Course Notes Supplement...

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