Statistical Methods in Applied Chemistry

Chapter 1. Random Variables. Properties and variables. Random events and elementary event space. Probability. Basic properties of probability. One-dimensional random variable. Measure of position and dispersion of one-dimensional random variable. Moments of one-dimensional random variable. Selected distributions of one-dimensional random variables. Multi-dimensional random variable. 2. Estimation of Parameters of Random Variable Distribution. Population and sample. Empirical distributions. Point estimation. Probability distributions of selected sample characteristics. Interval estimation. 3. Testing Statistical Hypotheses. Introduction. Verification of parametric hypotheses. Non-parametric hypothesis testing. Sequential tests. 4. Analysis of Variance. Theoretical model of analysis of variance for one-way classification. Computation of sum of squares. Models and assumptions of the analysis of variance. Grouping of object means the m = m 0 hypothesis testing. Approximate test in the case of non-homogeneity of variance. Analysis of variance for two-way classification. 5. Correlation and Regression. Correlation. Regression. 6. Methodical Guidelines. Criteria of choice and evaluation of research methods. Operation on approximate numbers. Calculation of errors. Formation of sample population. Registration and analysis of results. 7. Examples of a Complete Analysis of Experiment Results. A technological example. An analytical example. Appendicex A. Statistical Tables. Appendix B. Computer Programmes and Procedures. Bibliography. Index.