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Statistical Principles for the Design of Experiments : Applications to Real Experiments.

Focuses on the practical needs of applied statisticians and experimenters engaged in design, implementation and analysis in various disciplines.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mead, R. (Roger)
Otros Autores: Gilmour, S. G., Mead, A. (Andrew)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Cambridge series on statistical and probabilistic mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Statistical Principles for the Design of Experiments :  |b Applications to Real Experiments. 
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490 1 |a Cambridge Series in Statistical and Probabilistic Mathematics 
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520 |a Focuses on the practical needs of applied statisticians and experimenters engaged in design, implementation and analysis in various disciplines. 
504 |a Includes bibliographical references and index. 
505 0 |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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650 0 |a Experimental design. 
650 2 |a Research Design 
650 6 |a Plan d'expérience. 
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650 7 |a REFERENCE  |x Research.  |2 bisacsh 
650 7 |a Experimental design  |2 fast 
700 1 |a Gilmour, S. G. 
700 1 |a Mead, A.  |q (Andrew) 
776 0 8 |i Print version:  |z 9780521862141 
830 0 |a Cambridge series on statistical and probabilistic mathematics. 
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880 0 |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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