The Design and Analysis of Experiments and Surveys

This volume is the English version of the second edition of the bilingual textbook by Rasch, Verdooren and Gowers (1999). A parallel version in German is available from the same publisher. This book is intended for students and experimental scientists in all disciplines and presumes only elementary statistical knowledge. This prerequisite knowledge is summarised briefly in appendix B. Knowledge of differential and integral calculus is not necessary for the understanding of the text. Matrix notation is explained in Appendix C. As well as the correction of errors, the present edition differs from the first by the introduction of some new sections, such as that on testing the equality of two proportions (Section 3.4.4), and the inclusion of sequential tests. All new material is accompanied by descriptions of the relevant SPSS and CADEMO procedures.

Table des matières

1;Contents;8
2;Preface;12
3;1 Introduction;13
4;2 Planning Experiments and Surveys and the Description of simple Designs;18
4.1;2.1 Basic Ideas;18
4.2;2.2 Introduction to the Principles of Planning Experiments;20
4.3;2.3 Multiple Measurements, the Principle of Replication;23
4.4;2.4 Using Strata or Blocks to Eliminate the Effects of Noise Factors;24
4.4.1;2.4.1 Basic principles;24
4.4.2;2.4.2 Principles of Blocking and Stratification;26
4.5;2.5 Randomisation;29
4.5.1;2.5.1 Randomisation in Surveys - Random Sampling;30
4.5.2;2.5.2 Randomisation in Experimental Designs - Random Allocation;34
4.6;2.6 Block Designs;35
4.6.1;2.6.1 Basic Concepts;35
4.6.2;2.6.2 Completely Balanced Incomplete Block Designs;38
4.7;2.7 Factorial Designs;40
5;3 Design and Analysis of Completely Randomised Designs;42
5.1;3.1 Point Estimation of Parameters.;44
5.1.1;3.1.1 Point Estimation of the Parameters of a Normal Distribution;48
5.1.2;3.1.2 Point Estimation of the Parameter;50
5.1.3;3.1.3 Point Estimation in Surveys;51
5.2;3.2 Interval Estimation;56
5.2.1;3.2.1 Confidence Intervals for the Parameters of a Distribution;56
5.2.2;3.2.2 Confidence Intervals for the Difference between the Means of Two Normal Distributions;71
5.3;3.3 Selection Procedures;77
5.4;3.4 Hypothesis Testing;82
5.4.1;3.4.1 Testing Hypotheses about the Mean of a Normal Distribution;86
5.4.2;3.4.2 Testing Hypotheses Concerning the Difference between the Means of Two Normal Distributions;90
5.4.3;3.4.3 Comparison of the Variances of Two Normal Distributions;98
5.4.4;3.4.4 Comparison between two Proportions using Independent Samples;101
5.4.5;3.4.5 Equivalence Tests;108
6;4 Analysis of Variance;110
6.1;4.1 One-way Analysis of Variance;110
6.1.1;4.1.1 One-way Analysis of Variance - Model I;111
6.1.2;4.1.2 One-way Analysis of Variance - Model II;117
6.2;4.2 Two-way Analysis of Variance;119
6.2.1;4.2.1 Two-way Analysis of Variance - Cross-classification;119
6.2.2;4.2.2 Two-way Analysis of Variance - Nested Classification;137
6.2.3;4.2.3 Notes on the Procedure for Higher Classifications;147
6.3;4.3 Multiple Comparisons of Means;148
6.3.1;4.3.1 Pairwise Comparisons between the Means of;150
6.3.2;4.3.2 Multiple Comparisons with a Standard Population;155
6.3.3;4.3.3 Overview of Minimal Sample Sizes;158
7;5 Regression Analysis;160
7.1;5.1 Scatter-plots;161
7.2;5.2 Model I and Model II in Regression Analysis;163
7.3;5.3 Parameter Estimation by the Method of Least Squares;166
7.4;5.4 Simple Linear Regression;171
7.4.1;5.4.1 Confidence Intervals;171
7.4.2;5.4.2 Optimal Designs in Model I;177
7.4.3;5.4.3 Hypothesis Testing;180
7.4.4;5.4.4 Special Problems in Model II;184
7.5;5.5 Multiple Linear Regression;187
7.5.1;5.5.1 Parameter Estimation;188
7.5.2;5.5.2 Confidence Intervals and Tests;193
7.5.3;5.5.3 Special Problems in Model II;194
7.5.4;5.5.4 Optimal Designs in Model I;197
7.6;5.6 Simple Polynomial Regression;197
7.7;5.7 Multiple Quadratic Regression;200
7.8;5.8 Intrinsically Non-linear Regression;208
8;6 Theoretical Assumptions and their Practical Importance the Robustness of Procedures;214
9;Appendix A Symbols;217
10;Appendix B Fundamentals in Statistics Overview;220
10.1;B.1 Descriptive Statistics;220
10.1.1;B.1.1 Population;220
10.1.2;B.1.2 Population Mean and Variance;220
10.1.3;B.1.3 Graphical Description;222
10.1.4;B.1.4 A Rule of Thumb;224
10.2;B.2 Frequencies and Probabilities;224
10.2.1;B.2.1 Introduction;224
10.2.2;B.2.2 Combining Frequencies and Probabilities;225
10.2.3;B.2.3 Probability Distributions;229
10.2.4;B.2.4 Expectation;238
10.2.5;B.2.5 Variance;240
10.2.6;B.2.6 Covariance;242
10.3;B.3 Sampling Distributions;244
10.3.1;B.3.1 Sample Mean;244
10.3.2;B.3.2 Sample variance;247
11;Appendix C Matrices;249
12;Tables;254
13;References;265
14;Subject Index;268

A propos de l'auteur

Dieter Rasch, 1949-1953 Oberschule, Zella Mehlis, Abiturabschluߧ1953-1955 Student at the University of Jena, Mathematics§1955-1958 Student at the University of Leipzig, Ma thematical Statistics§1958 Master thesis on Estimation of Heritabi lities§1958-1991 Member of the Research Centre of Animal Production Dummerstorf Rostock (FZT), Germany§1960-1991 Lectures in Statistics at the University of Rostock, Germany§1961-1991 Head of the department of Biometry of the Research Centre of Animal Production Dummerstorf Rostoc§1961 PhD at the Math. Nat. Fakultät of the Universi ty of Leip zig (Factor Analysis)§1965 Habilitation (Analysis of Growth Curves) at the University of Rostock§1966-1978 Honorary Assistent Professor for Mathema tical Statistics at the University of Halle§1978-1991 Honorary Professor for Probability Theory and Mathematical Statistics at the University of Rostock§1991-2000 Professor for Mathematical Statistics, Department of Mathematics, Agricultural University, Wageningen, The Netherlands§1993-2000 Head of the Section Mathematical Statis tics§1995-1998 Head of the Department of Mathematics§since April 2000 Guest at the Department of Mathematics, Agricultural University, Wageningen, The Netherlands§2000-2004 Senior researcher, BioMath GmbH Rostock, Germany§Apri- June 2000 Guest Professor at the University of Vienna, Inst. of Statistics§June 2001 Honorary Doctor degree from the St. Izstvan University Budapest§March-July 2003 Guest Professor at the Math. Inst. of the University of Klagenfurt§Oct. 2004 Jan. 2005 Guest Professor at the Math. Inst. of the University of Klagenfurt§Since 1.9.2006 Professor at the Inst. für Statistik und EDV, Univ. Für Bodenkultur, Wien§Special research topics:§Mathematical Statistics, Biometry, Population Genetics and Breeding, Analysis of growth curves, Nonlinear Regression, Robustness, Experimental Design, Clinical Trials.

L. Rob Verdooren: Diplom an der Landwirtschaftschaftlichen Universität Wageningen, Die
Niederlande. Promotion auf dem Gebiet der Biometrie, Emeritus "Associate Professor" für Versuchsplanung und Analyse von Versuchen Universität Wageningen. Jetzt Beraterfür Statistik bei Numico Research B.V. in Wageningen, Die Niederlande.

Détails du produit

• Auteurs: Jim Gowers, Jim I Gowers, Jim I. Gowers, Diete Rasch, Dieter Rasch, L Ro Verdooren, L Rob Verdooren, L. R. Verdooren, L. Rob Verdooren, L. Rob Verdoren
• Edition: Oldenbourg
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 01.01.2007
• EAN: 9783486582994
• ISBN: 978-3-486-58299-4
• Pages: 261
• Dimensions: 170 mm x 14 mm x 240 mm
• Poids: 467 g
• Illustrations: w. num. figs.
• Thèmes: Textbook International; Textbook International
• Catégorie: Sciences sociales, droit, économie > Economie > Général, dictionnaires