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


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Introduction
Basic Concepts
General Processing Steps
Univariate Data
Statistical Tests
Bivariate Data
Multivariate Data
Math Background
Set Theorie
Probability
Vectors
Matrices
Matrix Algebra - Introduction
Fundamentals
Stochastic and Regular Matrix
Matrix Addition and Subtraction
Identity Matrix
Transposed Matrix
Multiplication
Matrix Multiplication
Geometrical Meaning of Matrix Multiplication
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

Last Update: 2009-Mär-28