Statistics in SpectroscopyBy
- Howard Mark, Mark Electronics, Suffern, New York, U.S.A.
- Jerry Workman, Jr., Argose Incorporated, Waltham, MA, U.S.A
Statistics in Spectroscopy, Second Edition, is an expanded and updated version of the original title. The aim of the book is to bridge the gap between the average chemist/spectroscopist and the study of statistics. This second edition differs from the first in that expanded chapters are incorporated to highlight the relationship between elementary statistics and the more advanced concepts of chemometrics. The book introduces the novice reader to the ideas and concepts of statistics and uses spectroscopic examples to show how these concepts are applied. The advent of instrumentation and methods of data analysis based on multivariate mathematics has created a need to introduce the non-statitician to the ideas, concepts and thought processes of statistics and statisticians. Several key statistical concepts are introduced through the use of computer programs. The new sections on chemometrics include an exercise showing that there is a deep and fundamental connection between the two, supposedly different, disciplines of statistics and chemometrics.
Hardbound, 342 Pages
Published: November 2003
Imprint: Academic Press
- Chapter 1 INTRODUCTION-WHY THIS BOOK?Chapter 2 IMPORTANT CONCEPTS FROM PROBABILITY THEORY Chapter 3 POPULATIONS AND SAMPLES: THE MEANING OF "STATISTICS" Chapter 4 DEGREES OF FREEDOMChapter 5 INTRODUCTION TO DISTRIBUTIONS AND PROBABILITY SAMPLING Chapter 6 THE NORMAL DISTRIBUTIONChapter 7 ALTERNATIVE WAYS TO CALCULATE STANDARD DEVIATION.. Chapter 8 THE CENTRAL LIMIT THEOREMChapter 9 SYNTHESIS OF VARIANCEChapter 10 WHERE ARE WE AND WHERE ARE WE GOING? Chapter 11 MORE AND DIFFERENT STATISTICSChapter 12 THE T-STATISTICChapter 13 DISTRIBUTION OF MEANSChapter 14 ONE-AND TWO-TAILED TESTSChapter 15 PHILOSOPHICAL INTERLUDEChapter 16 BIASED AND UNBIASED ESTIMATORS Chapter 17 THE VARIANCE OF VARIANCEChapter 18 HYPOTHESIS TESTING OF CHI-SQUARE Chapter 19 MORE HYPOTHESIS TESTINGChapter 20 STATISTICAL INFERENCESChapter 21 HOW TO COUNTChapter 22 AND STILL COUNTINGChapter 23 CONTINGENCY TABLESChapter 24 WHAT DO YOU MEAN, RANDOM?Chapter 25 THE F-STATISTICChapter 26 PRECISION AND ACCURACY: INTRODUCTION TO ANALYSIS OF VARIANCEChapter 27 ANALYSIS OF VARIANCE AND STATISTICAL DESIGN OF EXPERIMENTS Chapter 28 CROSSED AND NESTED EXPERIMENTSChapter 29 MISCELLANEOUS CONSIDERATIONS REGARDING ANALYSIS OF VARIANCEChapter 30 PITFALLS OF STATISTICSChapter 31 PITFALLS OF STATISTICS CONTINUEDChapter 32 CALIBRATION IN SPECTROSCOPYChapter 33 CALIBRATION: LINEAR REGRESSION AS A STATISTICAL TECHNIQUEChapter 34 CALIBRATION: ERROR SOURCES IN CALIBRATION Chapter 35 CALIBRATION: SELECTING THE CALIBRATION SAMPLES Chapter 36 CALIBRATION: DEVELOPING THE CALIBRATION MODELChapter 37 CALIBRATION: AUXILIARY STATISTICS FOR THE CALlBRATION MODELChapter 38 THE BEGINNING