Statistics for analytical chemistry / J. C. Miller, J. N. Miller.

Includes bibliographical references and index.

1. Introduction--Analytical problems--Errors in quantitative analysis--Types of error--Random and systematic errors in titrimetric analysis-- Handling systematic errors--Planning and design of experiments--Calculators and computers in statistical calculations-Bibliography--Exercises--2. Errors in classical analysis - statistics of repeated measurements:- Mean and standard deviation--Distribution of errors--The sampling distribution of the mean--Confidence limits of the mean--Presentation of results--Other uses of confidence limits--Propagation of random errors--Propagation of systematic errors--Bibliography--Exercises--3. Significance tests:- Introduction--Comparison of an experimental mean with a known value--Comparison of the means of two samples--Paired t-test- One-tailed and two-tailed tests--F-tests for the comparison of standard deviations--Outliers--Analysis of variance--Comparison of several means--The arithmetic of ANOVA calculations--The chi-squared test--Testing for normality of distribution--Conclusions from significance tests--Bibliography--Exercises--4. Quality Control and Sampling:-Introduction-- Sampling--Separation and estimation of variances by using ANOVA--Sampling strategy--Collaborative trials: Introduction--Two-sample plots--Preparing a collaborative trial--Calculations in collaborative trials--Control charts--Bibliography--Exercises--5. Errors in instrumental analysis; regression and correlation:- Instrumental analysis; Calibration graphs in instrumental analysis--The product-moment correlation coefficient--The line of regression of y on x--Errors in the slope and intercept of the regression line--Calculation of a concentration--Limits of detection--The method of standard additions--Use of regression line for comparing analytical methods--Weighted regression lines--Curvilinear regression - introduction--Curve fitting-Outliers in regression--Bibliography--Exercise--6. Non- parametric and robust methods:- Introduction--The median: initial data analysis--The sign test--The Ward-Wolfowitz runs test--The Wilcoxon signed rank test--The Wilcoxon rank sum test and related methods--Non-parametric tests on morre than two samples--Rank correlation--Non-parametric regression methods--Robust methods--The Kolmogorov test for goodness of fit--Conclusions--Bibliography--Exercises--7. Experimental design, optimization and pattern recognition:- Introduction--Randomization--Blocking--Two-way ANOVA--Latin squares--Nested and cross-classified designs--Interaction--Factorial versus one-at-a-time design--Factorial design and optimization--Alternating variable search method of optimization--Method of steepest ascent--Simplex optimization--Pattern recognition--Supervised learning methods--Unsupervised learning methods--Bibliography--Exercises.

An account of the underlying principles of statistical methods for students and practitioners of analytical chemistry, reflecting the impact of microelectronics for the rapid calculation of chemometric procedures such as pattern recognition, optimization, and numerical techniques. Significant changes and updates to the previous edition have been ma.