(BQ) Part 2 book "Statistics for economics, accounting and business studies" has contents: The χ2 and F distributions, correlation and regression, multiple regression, data collection and sampling methods, index numbers, seasonal adjustment of time-series data. | 3/23/07 12:06 PM Page 190 6 Contents Learning outcomes The χ 2 and F distributions Learning outcomes Introduction The χ 2 distribution Estimating a variance Comparing actual and expected values of a variable Contingency tables Constructing the expected values Calculation of the test statistic The F distribution Testing the equality of two variances Analysis of variance The analysis of variance table Summary Key terms and concepts Problems Answers to exercises Appendix: Use of χ 2 and F distribution tables 190 190 191 192 194 200 201 203 205 205 207 211 214 214 214 217 219 By the end of this chapter you should be able to: n understand the uses of two new probability distributions: χ 2 and F n construct confidence interval estimates for a variance n perform hypothesis tests concerning variances n analyse and draw inferences from data contained in contingency tables n construct a simple analysis of variance table and interpret the results Introduction The final two distributions to be studied are the χ 2 (pronounced ‘kye-squared’) and F distributions. Both of these distributions have a variety of uses, the most common of which are illustrated in this chapter. These distributions allow us to extend some of the estimation and testing procedures covered in Chapters 4 and 5. The χ 2 distribution allows us to establish confidence interval estimates for a variance, just as the Normal and t distributions were used in the case of a mean. Further, just as the Binomial distribution was used to examine situations 3/23/07 12:06 PM Page 191 The χ2 distribution 191 where the result of an experiment could be either ‘success’ or ‘failure’, the χ2 distribution allows us to analyse situations where there are more than two categories of outcome. The F distribution enables us to conduct hypotheses tests regarding the equality of two variances and also to make comparisons between the means of multiple samples, not just two. The F distribution is .
