Solutions to Exercises in Intermediate Statistical Methods

This booklet contains hints to the solutions and answers where necessary, of the exercises contained in 'Intermediate Statistical Methods' by G. Barrie Wetherill. The following principles have been adopted in dealing with the answers. (1) In some cases the answer is the drawing of a graph, and this has been omitted. (2) In many numerical exercises a considerable amount of 'data snooping', plotting of residuals, etc. should follow the main ~sis. The inclusion of this material would make the answer booklet far too long. (3) In some cases there is a readily available reference from which the answer can be ob~ained, in which case reference has been made to this. It is not necessary to work through every exercise , but it should be recognised that the exercises are an integral part of the main text, and a comprehensive grasp of the subj ect cannot be obtained without attempting a substantial proportion of them. It is hoped that this booklet will be of assistance in pointing the way, and providing a check on the more vital calculations. The importance of numerical exercises should be stressed, and it is here that Appendix B is of importance. There is abundant material available there in many different fields of application. Currently we are in the process of mounting a form of Appendix B on a computer, together with accessing programs. Front Matter....Pages i-vi Some Properties of Basic Statistical Procedures....Pages 1-2 Regression and the Linear Model....Pages 3-8 Statistical Models and Statistical Inference....Pages 9-13 Properties of the Method of Maximum Likelihood....Pages 14-19 The Method of Least Squares....Pages 20-26 Multiple Regression: Further Analysis and Interpretation....Pages 27-31 Polynomial Regression....Pages 32-35 The use of transformations....Pages 36-36 Correlation....Pages 37-39 The Analysis of Variance....Pages 40-49 Designs with regressions in the treatment effects....Pages 50-54 An Analysis of Data on Trees....Pages 55-56 The Analysis of Variance: Subsidiary Analyses....Pages 57-58 Random Effects Models....Pages 59-66 Crossed Classifications....Pages 67-68 Further Analysis of Variance....Pages 69-70 The generalised linear model....Pages 71-72 Back Matter....Pages 73-74 This book began many years ago as course notes for students at the University of Bath, and later at the University of Kent. Second and third year students, as well as those taking MSc courses have used selections of the chapters.