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|a Mead, R.
|q (Roger)
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|a Statistical Principles for the Design of Experiments :
|b Applications to Real Experiments.
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260 |
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|a Cambridge :
|b Cambridge University Press,
|c 2012.
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|a Cambridge Series in Statistical and Probabilistic Mathematics
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|a Print version record.
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|a Focuses on the practical needs of applied statisticians and experimenters engaged in design, implementation and analysis in various disciplines.
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|a Includes bibliographical references and index.
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|a 1. Introduction -- 2. Elementary ideas of blocking: the randomised complete block design -- 3. Elementary ideas of treatment structure -- 4. General principles of linear models for the analysis of experimental data -- 5. Experimental units -- 6. Replication -- 7. Blocking and control -- 8. Multiple blocking systems and cross-over designs -- 9. Multiple levels of information -- 10. Randomisation -- 11. Restricted randomisation -- 12. Experimental objectives, treatments and treatment structures -- 13. Factorial structure and particular forms of effects -- 14. Fractional replication -- 15. Incomplete block size for factorial experiments -- 16. Quantitative factors and response functions -- 17. Multifactorial designs for quantitative factors -- 18. Split-unit designs -- 19. Multiple experiments and new variation -- 20. Sequential aspects of experiments and experimental programmes -- 21. Designing useful experiments.
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|a Experimental design.
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2 |
|a Research Design
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6 |
|a Plan d'expérience.
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|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
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650 |
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7 |
|a REFERENCE
|x Research.
|2 bisacsh
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650 |
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|a Experimental design
|2 fast
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700 |
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|a Gilmour, S. G.
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|a Mead, A.
|q (Andrew)
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|i Print version:
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|a Cambridge series on statistical and probabilistic mathematics.
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|6 505-00/(S
|a Cover -- Statistical Principles for the Design of Experiments -- SERIES EDITOR -- Title -- Copyright -- Contents -- Preface -- Part I Overture -- 1 Introduction -- 1.1 Why a statistical theory of design-- 1.2 History, computers and mathematics -- 1.3 The influence of analysis on design -- 1.4 Separate consideration of units and treatments -- 1.5 The resource equation -- 2 Elementary ideas of blocking: the randomised complete block design -- 2.1 Controlling variation between experimental units -- 2.2 The analysis of variance identity -- 2.3 Estimation of variance and the comparison of treatment means -- 2.4 Residuals and the meaning of error -- 2.5 The random allocation of treatments to units -- 2.6 Practical choices of blocking patterns -- 3 Elementary ideas of treatment structure -- 3.1 Choice of treatments -- 3.2 Factorial structure -- 3.3 Models for main effects and interactions -- 3.4 The analysis of variance identity -- 3.5 Interpretation of main effects and interactions -- 3.6 Advantages of factorial structure -- 3.7 Treatment effects and treatment models -- 4 General principles of linear models for the analysis of experimental data -- 4.1 Introduction and some examples -- 4.2 The principle of least squares and least squares estimators -- 4.2.1 Some examples -- 4.3 Properties of least squares estimators -- 4.3.1 The estimation of σ2 -- 4.4 Overparameterisation, constraints and practical solution of least squares equations -- 4.4.1 Practical constraints on parameter values -- 4.4.2 A more complex example of the use of constraints -- 4.5 Subdividing the parameters -- extra SS -- 4.5.1 An example where different orders of fitting produce different SS -- 4.6 Distributional assumptions and inferences -- 4.7 Contrasts, treatment comparisons and component SS -- 4.7.1 Examples of the use of contrasts.
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