Statistics in Spectroscopy

By

  • Howard Mark, Mark Electronics, Suffern, New York, U.S.A.
  • Jerry Workman, Jr., Argose Incorporated, Waltham, MA, U.S.A

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Audience

Physical and analytical chemists, spectroscopists, libraries, and students.

 

Book information

  • Published: February 1991
  • Imprint: ACADEMIC PRESS
  • ISBN: 978-0-12-472530-0

Reviews

"...The authors should be congratulated for providing spectroscopists who do not have a mathematical background with an introduction to important statistical issues."
--Edward V. Thomas, SANDIA NATIONAL LABORATORIES, Albuquerque, New Mexico (ANALYTICAL CHEMISTRY)


"This column continues to serve a vital educational role for those spectroscopists with an interest?but little background?in the statistical underpinnings of the new chemometric methods that now come on their instruments."
--ANALYTICAL CHEMISTRY



Table of Contents

Introduction. 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.