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AuthorSachs, Lothar. author
TitleApplied Statistics [electronic resource] : A Handbook of Techniques / by Lothar Sachs
ImprintNew York, NY : Springer US, 1982
Connect tohttp://dx.doi.org/10.1007/978-1-4684-0123-3
Descript 706 p. online resource

SUMMARY

An English translation now joins the Russian and Spanish versions. It is based on the newly revised fifth edition of the German version of the book. The original edition has become very popular as a learning and reference source with easy to follow recipes and cross references for scientists in fields such as engineering, chemistry and the life sciences. Little mathematical background is required of the reader and some important topics, like the logarithm, are dealt with in the preliminaries preceding chapter one. The usefulness of the book as a reference is enhanced by a number of convenient tables and by references to other tables and methods, both in the text and in the bibliography. The English edition contains more material than the German original. I am most grateful to all who have in conversations, letters or reviews suggested improvements in or criticized earlier editions. Comments and suggestions will continue to be welcome. We are especially grateful to Mrs. Dorothy Aeppli of St. Paul, Minnesota, for providing numerous valuable comments during the preparation of the English manuscript. The author and the translator are responsible for any remaining faults and imperfections. I welcome any suggestions for improvement. My greatest personal gratitude goes to the translator, Mr. Zenon Reynaroยญ wych, whose skills have done much to clarify the text, and to Springer-Verlag


CONTENT

to Statistics -- 0 Preliminaries -- 0.1 Mathematical Abbreviations -- 0.2 Arithmetical Operations -- 0.3 Computational Aids -- 0.4 Rounding Off -- 0.5 Computations with Inaccurate Numbers -- 1 Statistical Decision Techniques -- 1.1 What Is Statistics? Statistics and the Scientific Method -- 1.2 Elements of Computational Probability -- 1.3 The Path to the Normal Distribution -- 1.4 The Road to the Statistical Test -- 1.5 Three Important Families of Test Distributions -- 1.6 Discrete Distributions -- 2 Statistical Methods in Medicine and Technology -- 2.1 Medical Statistics -- 2.2 Sequential Test Plans -- 2.3 Evaluation of Biologically Active Substances Based on Dosage-Dichotomous Effect Curves -- 2.4 Statistics in Engineering -- 2.5 Operations Research -- 3 The Comparison of Independent Data Samples -- 3.1 The Confidence Interval of the Mean and of the Median -- ? 3.2 Comparison of an Empirical Mean with the Mean of a Normally Distributed Population -- ? 3.3 Comparison of an Empirical Variance with Its Parameter -- 3.4 Confidence Interval for the Variance and for the Coefficient of Variation -- 3.5 Comparison of Two Empirically Determined Variances of Normally Distributed Populations -- ? 3.6 Comparison of Two Empirical Means of Normally Distributed Populations -- 3.7 Quick Tests Which Assume Nearly Normally Distributed Data -- 3.8 The Problem of Outliers and Some Tables Useful in Setting Tolerance Limits -- 3.9 Distribution-Free Procedures for the Comparison of Independent Samples -- 4 Further Test Procedures -- 4.1 Reduction of Sampling Errors by Pairing Observations: Paired Samples -- 4.2 Observations Arranged in Pairs -- 4.3 The ?2 Goodness of Fit Test -- 4.4 The Kolmogoroff-Smirnoff Goodness of Fit Test -- 4.5 The Frequency of Events -- 4.6 The Evaluation of Fourfold Tables -- 4.7 Testing the Randomness of a Sequence of Dichotomous Data or of Measured Data -- 4.8 The S3 Sign Test of Cox and Stuart for Detection of a Monotone Trend -- 5 Measures of Association: Correlation and Regression -- 5.1 Preliminary Remarks and Survey -- 5.2 Hypotheses on Causation Must Come from Outside, Not Necessarily from Statistics -- 5.3 Distribution-Free Measures of Association -- 5.4 Estimation Procedures -- 5.5 Test Procedures -- 5.6 Nonlinear Regression -- 5.7 Some Linearizing Transformations -- ? 5.8 Partial and Multiple Correlations and Regressions -- 6 The Analysis of k ร{151} 2 and Other Two Way Tables -- 6.1 Comparison of Several Samples of Dichotomous Data and the Analysis of a k ร{151} 2 Two Way Table -- 6.2 The Analysis of r ร{151} c Contingency and Homogeneity Tables -- 7 Analysis of Variance Techniques -- ? 7.1 Preliminary Discussion and Survey -- 7.2 Testing the Equality of Several Variances -- 7.3 One Way Analysis of Variance -- 7.4 Two Way and Three Way Analysis of Variance -- 7.5 Rapid Tests of Analysis of Variance -- 7.6 Rank Analysis of Variance for Several Correlated Samples -- ? 7.7 Principles of Experimental Design -- Bibliography and General References -- Exercises -- Solutions to the Exercises -- Author Index


Mathematics Chemometrics Applied mathematics Engineering mathematics Probabilities Statistics Mathematics Probability Theory and Stochastic Processes Statistics for Life Sciences Medicine Health Sciences Math. Applications in Chemistry Applications of Mathematics



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