Introduction : why this book? -- Important concepts from probability theory -- Populations and samples : the meaning of "statistics" -- Degrees of freedom -- Introduction to distributions and probability sampling -- The normal distribution -- Alternative ways to calculate standard deviation -- The central limit theorem -- Synthesis of variance -- Where are we and where are we going? -- More and different statistics -- The T statistic -- Distribution of means -- One-and two-tailed tests -- Philosophical interlude -- Biased and unbiased estimators -- The variance of variance -- Hypothesis testing of chi-square -- More hypothesis testing -- Statistical inferences -- How to count -- And still counting -- Contingency tables -- What do you mean : random? -- The F statistic -- Precision and accuracy : introduction to analysis of variance -- Analysis of variance and statistical design of experiments -- Crossed and nested experiments -- Miscellaneous considerations regarding analysis of variance -- Pitfalls of statistics -- Pitfalls of statistics continued -- Calibration in spectroscopy -- Calibration : linear regression as a statistical technique -- Calibration : error sources in calibration -- Calibration : selecting the calibration samples -- Calibration : developing the calibration model -- Calibration : auxiliary statistics for the calibration model -- The beginning--
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Text of Note
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. Serves as a primer for all chemists who need to know more about statistical analysis Written in a readable style with minimal mathematics Developed from the popular series of the same name first published in Spectroscopy magazine.