Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more.

Index

Editorial Introduction Basic Concepts General Processing Steps Univariate Data Statistical Tests Bivariate Data Multivariate Data Math Background Set Theorie Probability Vectors Matrices Introduction Fundamentals Stochastic and Regular Matrix Transposed Matrix Matrix Addition and Subtraction Zero Matrix Identity Matrix Multiplication Inverse Matrix Matrix Inversion Moore-Penrose Pseudo-Inverse Matrix Fundamental Theorems for Matrices Orthogonality Linear Dependence Rank of a Matrix Determinant Linear Equations The NIPALS Algorithm Eigenvectors and Eigenvalues - Definition Eigenvectors and Eigenvalues - Advanced Discussion Singular Value Decomposition Varia Exercises Appendix