UID:
almahu_9948025728302882
Format:
1 online resource (301 p.)
ISBN:
1-281-78112-6
,
9786611781125
,
0-08-086830-4
Series Statement:
Data handling in science and technology ; v. 3
Content:
Now available in a paperback edition is a book which has been described as ``...an exceptionally lucid, easy-to-read presentation... would be an excellent addition to the collection of every analytical chemist. I recommend it with great enthusiasm.'' (Analytical Chemistry). Unlike most current textbooks, it approaches experimental design from the point of view of the experimenter, rather than that of the statistician. As the reviewer in `Analytical Chemistry' went on to say: ``Deming and Morgan should be given high praise for bringing the principles of experimental design to the level of the p
Note:
Description based upon print version of record.
,
Front Cover; Experimental Design: A Chernometric Approach; Copyright Page; Contents; Preface; Chapter 1. System Theory; 1.1. Systems; 1.2. Inputs; 1.3. Outputs; 1.4. Transforms; References; Exercises; Chapter 2. Response Surfaces; 2.1. Elementary concepts; 2.2. Continuous and discrete factors and responses; 2.3. Constraints and feasible regions; 2.4. Factor tolerances; References; Exercises; Chapter 3. Basic Statistics; 3.1. The mean; 3.2. Degrees of freedom; 3.3. The variance; 3.4. Sample statistics and population statistics; References; Exercises; Chapter 4. One Experiment
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4.1. A deterministic model4.2. A probabilistic model; 4.3. A proportional model; 4.4. Multiparameter models; References; Exercises; Chapter 5. Two Experiments; 5.1. Matrix solution for simultaneous linear equations; 5.2. Matrix least squares; 5.3. The straight line model constrained to pass through the origin; 5.4. Matrix least squares for the case of an exact fit; 5.5. Judging the adequacy of models; 5.6. Replication; References; Exercises; Chapter 6. Hypothesis Testing; 6.1. The null hypothesis; 6.2. Confidence intervals; 6.3. The t-test; 6.4. Sums of squares; 6.5. The F-test
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6.6. Level of confidenceReferences; Exercises; Chapter 7. The Variance-Covariance Matrix; 7.1. Influence of the experimental design; 7.2. Effect on the variance of b1; 7.3. Effect on the variance of b0; 7.4. Effect on the covariance of 60 and b1; 7.5. Optimal design; References; Exercises; Chapter 8. Three Experiments; 8.1. All experiments at one level; 8.2. Experiments at two levels; 8.3. Experiments at three levels: first-order model; 8.4. Experiments at three levels: second-order model; 8.5. Centered experimental designs and coding; 8.6. Self interaction; References; Exercises
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Chapter 9. Analysis of Variance (ANOVA) for Linear Models9.1. Sums of squares; 9.2. Additivity of sums of squares and degrees of freedom; 9.3. Coefficients of determination and correlation; 9.4. Statistical test for the effectiveness of the factors; 9.5. Statistical test for the lack of fit; 9.6. Statistical test for a set of parameters; 9.7. Statistical significance and practical significance; References; Exercises; Chapter 10. A Ten-Experiment Example; 10.1. Allocation of degrees of freedom; 10.2. Placement of experiments; 10.3. Results for the reduced model
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10.4. Results for the expanded model10.5. Coding transformations of parameter estimates; 10.6. Confidence intervals for response surfaces; References; Exercises; Chapter 11. Approximating a Region of a Multifactor Response Surface; 11.1. Elementary concepts; 11.2. Factor interaction; 11.3. Factorial designs; 11.4. Coding of factorial designs; 11.5. Star designs; 11.6. Central composite designs; 11.7. Canonical analysis; 11.8. Confidence intervals; 11.9. Rotatable designs; 11.10. Orthogonal designs; 11.11. Scaling; References; Exercises
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Chapter 12. Additional Multifactor Concepts and Experimental Designs
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English
Additional Edition:
ISBN 0-444-42734-1
Language:
English
