Fundamentals of Statistics
contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics...
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Overview
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Index P...
p values
Interpreting p values
p-chart
p- and c-Charts
paired experiments
Paired Experiments
parameter
Parameters
parsimonious model
Modeling
partial derivative
Partial Derivative
partial least squares
Modeling with latent variables
PLS - Partial Least Squares Regression
PCA
Literature References - Factor Analysis, Principal Components
Principal Component Analysis
Application Example of PCA - Classification of Wine
Data Compression by PCA
PCA - Loadings and Scores
PCA - Different Forms
PCA - Model Order
Exercise - Dependence of PC scores on scaling of data
Exercise - Classification of unknown wine samples by PCA
Exercise - Detection of mixtures of two different wines by PCA
Zusammenhang zwischen Loadings, Scores und Originaldaten
PCR
Principal Component Regression
Exercise - Perform a PCR by successive application of PCA and MLR
Modeling with latent variables
Pearson
Karl Pearson
Pearson's correlation coefficient
Pearson's Correlation Coefficient
perceptron
Multi-layer Perceptron
permutation
Matrix Determinant
Counting Rules
phase angle
Fourier Series
phase space
Phase Space
pink noise
Types of Noise
platykurtic distribution
Kurtosis
PLS
Modeling with latent variables
PLS - Partial Least Squares Regression
Poisson distribution
Poisson Distribution
Relationship Between Various Distributions
polynomial filter
Savitzky-Golay Filter - Mathematical Details
polynomial fit
Exercise - Calculate a polynomial fit by means of MLR
Data Set - Polynomial Fit
Curve Fitting by Polynomials
population
Population and Sample
power
Types of Error
Power of a Test
precision
The Data
Decimal Places and Precision
Definitions of Quality Control
Random and Systematic Errors
prediction of future values
Regression - Confidence Interval
MLR - Estimation of New Observations
predictor
Modeling
PRESS
PCA - Model Order
PRESS
Validation of Models
principal component regression
Principal Component Regression
Exercise - Perform a PCR by successive application of PCA and MLR
Modeling with latent variables
principal components
Literature References - Factor Analysis, Principal Components
Principal Component Analysis
Data Compression by PCA
PCA - Different Forms
Principal Component Regression
Exercise - Estimation of Boiling Points from Chemical Structure
Exercise - Dependence of PC scores on scaling of data
Exercise - Classification of unknown wine samples by PCA
Exercise - Detection of mixtures of two different wines by PCA
The NIPALS Algorithm
Zusammenhang zwischen Loadings, Scores und Originaldaten
principal diagonal
Matrix Algebra - Fundamentals
probability
Algebra of Probabilities
Bayesian Rule
Conditional Probability
Counting Rules
Events and Sample Space
Independent Events
Probability - Introduction
Probability Theory
Exercise - Probability of Observations
Exercise - Probability of a train being delayed
Summation of Probabilities
Additivity Rule
Complementary Sets and Subsets
Union and Intersection
probability density function
Exercise - Design a data set showing a bimodal probability density function
Exercise - Design a data set showing a normal probability density function
process control
Control Charts
p- and c-Charts
x- and R-Charts
process stability
Control Charts
process variability
Variability
processing unit
ANN - Single Processing Unit
pruning
Variable Selection - Pruning
pseudo random numbers
Random Number Generators
pseudo-inverse matrix
Moore-Penrose Pseudo-Inverse Matrix
Last Update: 2005-Jul-16