Fundamentals of Statistics
contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics...
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Overview
Index S...
S/N ratio
Signal and Noise
Time-Averaging
sample
Population and Sample
Samples
sample space
Events and Sample Space
Venn Diagram
sample&hold
Digitisation of Signals
sampling
The Data
Representative Samples
sampling distributions
Sampling Distributions
sampling errors
Representative Samples
sampling frequency
Digitisation of Signals
sampling theorem
Sampling Theorem
Sarrus' rule
Matrix Determinants - Calculation of Order 2 and 3
Savitzky-Golay coefficients
Savitzky-Golay Filter - Coefficients
Savitzky-Golay filter
Savitzky-Golay Filter
Savitzky-Golay Filter - Mathematical Details
scalar
Vectors - Introduction
scalar product
Scalar Product
scaling of data
Scaling of Data
scaling of the data
z-Transform
T-Scores
scatter matrix
Scatter, Covariance, and Correlation Matrix
PCA - Different Forms
scatter plot
Autocorrelation and Scatter Plots
Scatter Plot
scedasticity
Scedasticity
scores
Factor Analysis
PCA - Loadings and Scores
Relations between Loadings, Scores and Original Data
scree plot
PCA - Model Order
search space
Phase Space
selection of variables
Predictive Ability
Variable Selection - Stepwise Regression
Variable Selection - Introduction
Variable Selection - Principal Approach
selectivity
Definitions of Quality Control
Selectivity and Specifity
self organizing map
Kohonen Networks
sensitivity
Sensitivity
Classifier Performance
separabability of classes
Structure of Measured Data
serial correlation
Autocorrelation
Uncorrelated Residuals - Durbin-Watson Test
sets
Calculating with Sets
Shapiro-Wilk test
Shapiro-Wilk Test
Shapiro-Wilk test
Test for Normality
signal-to-noise ratio
Coefficient of Variation
Signal and Noise
Time-Averaging
signals
Signals as Time Series
signed rank test
Wilcoxon Test for Paired Differences
significance
Level of Significance
The Term "significant"
similar mineral waters
Exercise - Similar Mineral Waters
similarity
Distance and Similarity Measures
simplex algorithm
Simplex Algorithm
single linkage clustering
Minimal Spanning Tree
singular matrix
Matrix Inversion
singular value decomposition
Singular Value Decomposition
skew-symmetric matrix
Transposed Matrix
skewness
Skewness
smoothing
Savitzky-Golay Filter - Coefficients
SNR
Signal and Noise
soft model
Modeling
solid residues
Data Set - Solid Residues in Mineral Water
SOM
Kohonen Networks
Spearman's rank correlation
Spearman's Rank Correlation
specificity
Classifier Performance
specifity
Selectivity and Specifity
specivity
Definitions of Quality Control
spectrum
Time and Frequency
spikes
Physical Origin of Noise
splines
Curve Fitting by Splines
spurious correlation
Spurious Correlation
square matrix
Matrix Algebra - Fundamentals
square window
Windowing Function and FFT
stacked dot plot
Dot Plot
standard deviation
Chebyshev's Theorem
Parameters
Standard Deviation
standard normal probability density function
Normal Distribution
standardization
Scaling of Data
z-Transform
T-Scores
standardized skewness
Skewness
state space notation
Filters - Mathematical Background
stationary time series
Time Series - Trends
statistic
Population and Sample
statistical tests
Interpreting p values
Kolmogorov-Smirnov One-Sample Test
Test for Normality
Outlier Tests - Basic Rules
One-Sample t-Test - Large Samples
One-Sample t-Test - Small Samples
One Sample Chi-Square-Test
Two-Sample t-Test - Large Samples
Two-Sample t-Test - Small Sample Size
Two-Sample F-Test
Chi-Square Test
Paired Experiments
Distribution-Free Tests
Hypothesis Testing
Power of a Test
Test: Correlation Coefficient
Randomization Tests
Rank Randomization Tests
Wilcoxon Test for Paired Differences
Literatur - Statistical Tests
Uncorrelated Residuals - Durbin-Watson Test
Runs Test
Shapiro-Wilk Test
Parametric and Non-Parametric Tests
statististical tests
Statististical Tests - Decision Tree
stem-and-leaf plots
Stem-and-Leaf Plots
stepwise regression
Variable Selection - Stepwise Regression
stochastic matrix
Stochastic and Regular Matrix
strontium concentration
Exercise - Comparing two sample means
structure of measured data
Structure of Measured Data
subsets
Complementary Sets and Subsets
subtraction
Matrix Addition and Subtraction
Subtraction of Vectors
summation rule
Summation of Probabilities
sun block
Modeling - Example
survey on ANN models
Models of ANNs
SVD
Singular Value Decomposition
symmetric matrix
Transposed Matrix
systematic error
Random and Systematic Errors