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

Index M...

 magnitude Fourier Series Mahalanobis distance Distance and Similarity Measures Mallows Cp-statistic Mallows Cp Statistic Mann Wilcoxon-Mann-Whitney Test Mann-Whitney test Wilcoxon-Mann-Whitney Test manual Data Laboratory mapping of spaces ANN - Mapping of Spaces mass spectrometry Transformation of the Data Space - Example: mass spectrometry mathematics Literature References - Mathematics matrix Scatter, Covariance, and Correlation Matrix Data Matrices Eigenvectors and Eigenvalues - Definition Matrix Addition and Subtraction Matrix Algebra - Fundamentals Matrix Determinants - Calculation of Order 2 and 3 Equivalence Operations Gauss-Jordan Algorithm Identity Matrix Matrix Algebra - Introduction Matrix Inversion Linear Equations Matrix Multiplication Geometrical Meaning of Matrix Multiplication Moore-Penrose Pseudo-Inverse Matrix matrix algebra Literature References - Mathematics Matrix Algebra - Introduction Fundamental Theorems for Matrices matrix determinant Matrix Determinant maximum likelihood Maximum Likelihood maximum redundance analysis Modeling with latent variables mean Confidence Interval of the Mean Expectation Mean Measures of Location Parameters Comparing means Generalized Mean Cauchy Distribution mean centering Scaling of Data mean of random samples Central Limit Theorem measure of association Measures of Association - an Overview measurement scale Level of Measurement measurement uncertainty Definitions of Quality Control measurement variability Variability measures of central tendency Measures of Location measures of location Measures of Location measures of variation Measures of Variation median Quantiles Measures of Location Median Quartile Wilcoxon Test for Paired Differences median test Median Test memory based learning Memory Based Learning mesocurtic distribution Kurtosis mineral water Data Set - Mineral Water minimal spanning tree Minimal Spanning Tree Minkowski distance Distance and Similarity Measures missing values Missing Values Exercise - Missing Values - Mineral Waters Exercise - Estimating the bicarbonate concentration in mineral waters mixtures Exercise - Detection of mixtures of two different wines by PCA MLR MLR - Analysis of Variance MLR and Collinearity Multiple Linear Regression - Introduction MLR - Test yourself as a multivariate estimator Variable Selection - Stepwise Regression Exercise - Estimation of Boiling Points from Chemical Structure Exercise - The Effect of Collinear Variables on MLR Models Exercise - Calculate a polynomial fit by means of MLR MLR - Estimation of New Observations Design Matrix Coefficient of Determination and MLR Variance Inflation Factor mode Measures of Location mode of a distribution Mode of a Distribution model order PCA - Model Order model selection Neural Networks - Model Selection modeling Classification vs. Calibration Modeling Modeling - Example Time Series - Model Finding Modeling with latent variables moments of a distribution Moments of a Distribution Monte Carlo simulations Optimization Methods - Monte Carlo Simulations Mood's median test Median Test Moore-Penrose pseudo-inverse matrix Moore-Penrose Pseudo-Inverse Matrix moving average Savitzky-Golay Filter - Mathematical Details Moving Average Time Series - Definition of ARIMA Models MRA Modeling with latent variables multi-collinearity MLR and Collinearity Ridge Regression multi-layer perceptron Multi-layer Perceptron multikollinearity Variance Inflation Factor multiple linear regression Linear Discriminant Analysis - Introduction Multiple Linear Regression - Introduction MLR - Test yourself as a multivariate estimator multiple lineare regression Design Matrix multiple regression MLR - Analysis of Variance Exercise - Estimation of Henry's Constant from Chemical Structure MLR - Estimation of New Observations multiple t-tests ANOVA multiplication Matrix Multiplication Geometrical Meaning of Matrix Multiplication multivariate calibration Multivariate Calibration multivariate estimator, experiment MLR - Test yourself as a multivariate estimator multivariate methods Survey on Multivariate Methods multivariate similarity Exercise - Similar Mineral Waters multivariate statistics Multivariate Statistics mutually exclusive events Additivity Rule