{"product_id":"introduction-to-the-design-and-analysis-of-experiments-paperback-softback-9780470711071","title":"Introduction to the Design and Analysis of Experiments (Paperback \/ softback) 9780470711071","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to the Design and Analysis of Experiments\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eGeoffrey M. Clarke (Author), Robert E. Kempson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470711071, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 29 November 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e354 pages\u003cbr\u003e24.9 x 19.2 x 1.9 cm, 0.652 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe design and analysis of experiments is typically taught as part of a second level course in statistics. Many different types and levels of students will require this information in order to progress with their studies and research. This text is thus offered as an introduction to this wide ranging and important subject. It has the advantage of explaining in an accessible way the basic principles behind good experimental thinking, planning and action. The authors have used their experience in teaching related courses to separate out what seem to be the essential basic contents for everyone, and to combine with these some of the most useful additional topics in biological, industrial, medical, and environmental experimentation.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cb\u003ePreface.\u003c\/b\u003e \u003cp\u003e\u003cb\u003e1 Collecting data by experiments.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction.\u003c\/p\u003e \u003cp\u003e1.2 Experiments.\u003c\/p\u003e \u003cp\u003e1.3 Measurements of yield or response.\u003c\/p\u003e \u003cp\u003e1.4 Natural variation in data.\u003c\/p\u003e \u003cp\u003e1.5 Initial data analysis.\u003c\/p\u003e \u003cp\u003e1.6 General applications of experimentation.\u003c\/p\u003e \u003cp\u003e1.7 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Basic statistical methods: the normal distribution.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Statistical inference for one sample of normally distributed data.\u003c\/p\u003e \u003cp\u003e2.2 Hypothesis test.\u003c\/p\u003e \u003cp\u003e2.3 Comparison of two samples of normally distributed data.\u003c\/p\u003e \u003cp\u003e2.4 The \u003cb\u003e\u003ci\u003eF\u003c\/i\u003e\u003c\/b\u003e-test for comparing two estimated variances.\u003c\/p\u003e \u003cp\u003e2.5 Confidence interval for the difference between two means.\u003c\/p\u003e \u003cp\u003e2.6 'Paired data' \u003cb\u003e\u003ci\u003et\u003c\/i\u003e\u003c\/b\u003e-test when samples are not independent.\u003c\/p\u003e \u003cp\u003e2.7 Linear functions of normally distributed variables.\u003c\/p\u003e \u003cp\u003e2.8 Linear models including normal random variation.\u003c\/p\u003e \u003cp\u003e2.9 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Principles of experimental design.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction.\u003c\/p\u003e \u003cp\u003e3.2 Treatment structure.\u003c\/p\u003e \u003cp\u003e3.3 Changing background conditions – the need for comparison.\u003c\/p\u003e \u003cp\u003e3.4 Replication.\u003c\/p\u003e \u003cp\u003e3.5 Randomization.\u003c\/p\u003e \u003cp\u003e3.6 Blocking.\u003c\/p\u003e \u003cp\u003e3.7 Sources of variation.\u003c\/p\u003e \u003cp\u003e3.8 Planning the size of an experiment.\u003c\/p\u003e \u003cp\u003e3.9 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The analysis of data from orthogonal designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction.\u003c\/p\u003e \u003cp\u003e4.2 Comparing treatments.\u003c\/p\u003e \u003cp\u003e4.3 Confidence intervals.\u003c\/p\u003e \u003cp\u003e4.4 Homogeneity of variance.\u003c\/p\u003e \u003cp\u003e4.5 The randomized complete block.\u003c\/p\u003e \u003cp\u003e4.6 Duncan's multiple range test.\u003c\/p\u003e \u003cp\u003e4.7 Extra replication of important treatments.\u003c\/p\u003e \u003cp\u003e4.8 Contrasts among treatments.\u003c\/p\u003e \u003cp\u003e4.9 Latin squares and other orthogonal designs.\u003c\/p\u003e \u003cp\u003e4.10 Graeco-Latin squares.\u003c\/p\u003e \u003cp\u003e4.11 Two fallacies.\u003c\/p\u003e \u003cp\u003e4.12 Assumptions in analysis: using residuals to examine them.\u003c\/p\u003e \u003cp\u003e4.13 Transformations.\u003c\/p\u003e \u003cp\u003e4.14 Theory of variance stabilization.\u003c\/p\u003e \u003cp\u003e4.15 Missing data in block designs.\u003c\/p\u003e \u003cp\u003e4.16 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 4A Cochran's Theorem on Quadratic Forms.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Factorial experiments.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction.\u003c\/p\u003e \u003cp\u003e5.2 Notation for factors at two levels.\u003c\/p\u003e \u003cp\u003e5.3 Definition of main effect and interaction.\u003c\/p\u003e \u003cp\u003e5.4 Three factors each at two levels.\u003c\/p\u003e \u003cp\u003e5.5 A single factor at more than two levels.\u003c\/p\u003e \u003cp\u003e5.6 General method for computing coefficients for orthogonal polynomials.\u003c\/p\u003e \u003cp\u003e5.7 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Experiments with many factors: confounding and fractional replication.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction.\u003c\/p\u003e \u003cp\u003e6.2 The principal block in confounding.\u003c\/p\u003e \u003cp\u003e6.3 Single replicate.\u003c\/p\u003e \u003cp\u003e6.4 Small experiments: partial confounding.\u003c\/p\u003e \u003cp\u003e6.5 Very large experiments: fractional replication.\u003c\/p\u003e \u003cp\u003e6.6 Replicates smaller than half size.\u003c\/p\u003e \u003cp\u003e6.7 Confounding with fractional replication.\u003c\/p\u003e \u003cp\u003e6.8 Confounding three-level factors.\u003c\/p\u003e \u003cp\u003e6.9 Fractional replication in 3-level experiments.\u003c\/p\u003e \u003cp\u003e6.10 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 6A Methods of confounding in 2\u003ci\u003e\u003csup\u003ep\u003c\/sup\u003e\u003c\/i\u003e factorial experiments.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Confounding main effects – split-plot designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction.\u003c\/p\u003e \u003cp\u003e7.2 Linear model and analysis.\u003c\/p\u003e \u003cp\u003e7.3 Studying interactions.\u003c\/p\u003e \u003cp\u003e7.4 Repeated splitting.\u003c\/p\u003e \u003cp\u003e7.5 Confounding in split-plot experiments.\u003c\/p\u003e \u003cp\u003e7.6 Other designs for main plots.\u003c\/p\u003e \u003cp\u003e7.7 Criss-cross design.\u003c\/p\u003e \u003cp\u003e7.8 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Industrial experimentation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction.\u003c\/p\u003e \u003cp\u003e8.2 Taguchi methods in statistical quality control.\u003c\/p\u003e \u003cp\u003e8.3 Loss functions.\u003c\/p\u003e \u003cp\u003e8.4 Sources of variation.\u003c\/p\u003e \u003cp\u003e8.5 Orthogonal arrays.\u003c\/p\u003e \u003cp\u003e8.6 Choice of design.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Response surfaces and mixture designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction.\u003c\/p\u003e \u003cp\u003e9.2 Are experimental conditions ‘constant’?\u003c\/p\u003e \u003cp\u003e9.3 Response surfaces.\u003c\/p\u003e \u003cp\u003e9.4 Experiments with three factors, x\u003csub\u003e1\u003c\/sub\u003e, x\u003csub\u003e2\u003c\/sub\u003e and x\u003csub\u003e3\u003c\/sub\u003e.\u003c\/p\u003e \u003cp\u003e9.5 Second-order surfaces.\u003c\/p\u003e \u003cp\u003e9.6 Contour diagrams in analysis.\u003c\/p\u003e \u003cp\u003e9.7 Transformations.\u003c\/p\u003e \u003cp\u003e9.8 Mixture designs.\u003c\/p\u003e \u003cp\u003e9.9 Other types of response surface.\u003c\/p\u003e \u003cp\u003e9.10 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 The analysis of covariance.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction.\u003c\/p\u003e \u003cp\u003e10.2 Analysis for a design in randomized blocks: general theory.\u003c\/p\u003e \u003cp\u003e10.3 Individual contrasts.\u003c\/p\u003e \u003cp\u003e10.4 Dummy covariance.\u003c\/p\u003e \u003cp\u003e10.5 Systematic trend not removed by blocking.\u003c\/p\u003e \u003cp\u003e10.6 Accidents in recording.\u003c\/p\u003e \u003cp\u003e10.7 Assumptions in covariance analysis.\u003c\/p\u003e \u003cp\u003e10.8 Missing values.\u003c\/p\u003e \u003cp\u003e10.9 Double covariance.\u003c\/p\u003e \u003cp\u003e10.10 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Balanced incomplete blocks and general non-orthogonal block designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction.\u003c\/p\u003e \u003cp\u003e11.2 Definition and existence of a balanced incomplete block.\u003c\/p\u003e \u003cp\u003e11.3 Methods of construction.\u003c\/p\u003e \u003cp\u003e11.4 Linear model and analysis.\u003c\/p\u003e \u003cp\u003e11.5 Row and column design: the Youden square.\u003c\/p\u003e \u003cp\u003e11.6 General block designs.\u003c\/p\u003e \u003cp\u003e11.7 Linear model and analysis.\u003c\/p\u003e \u003cp\u003e11.8 Generalized inverse.\u003c\/p\u003e \u003cp\u003e11.9 Application to designs with special patterns.\u003c\/p\u003e \u003cp\u003e11.10 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 11A Generalized inverse matrix by spectral decomposition.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 11B Natural contrasts and effective replication.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 More advanced designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction.\u003c\/p\u003e \u003cp\u003e12.2 Crossover designs.\u003c\/p\u003e \u003cp\u003e12.3 Lattices.\u003c\/p\u003e \u003cp\u003e12.4 Alpha designs.\u003c\/p\u003e \u003cp\u003e12.5 Partially balanced incomplete blocks (PBIBs).\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Random effects models: variance components and sampling schemes.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction.\u003c\/p\u003e \u003cp\u003e13.2 Two stages of sampling: between and within units.\u003c\/p\u003e \u003cp\u003e13.3 Assessing alternative sampling schemes.\u003c\/p\u003e \u003cp\u003e13.4 Using variance components in planning when sampling costs are given.\u003c\/p\u003e \u003cp\u003e13.5 Three levels of variation.\u003c\/p\u003e \u003cp\u003e13.6 Costs in a three-stage scheme.\u003c\/p\u003e \u003cp\u003e13.7 Example where one estimate is negative.\u003c\/p\u003e \u003cp\u003e13.8 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Computer output using SAS.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBibliography and references.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTables.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex.\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca 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