Fundamentals of Statistics
contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics...
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V
W
X
Y
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Overview
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