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 T...
t distribution
t Distribution
T-score
T-Scores
t-test
ANOVA
One-Sample t-Test - Large Samples
One-Sample t-Test - Small Samples
One-Sample t-Test
Two-Sample t-Test
Two-Sample t-Test - Large Samples
Two-Sample t-Test - Small Sample Size
Comparing means
Paired Experiments
Exercise - Relative Humidity of US Cities
Exercise - Testing the Reaction Time of a Person
Exercise - Comparing two sample means
Welch-Test
t-test for unequal variances
Welch-Test
table of association
Contingency Table
Tanimoto coefficient
Distance and Similarity Measures
taxonomy of ANNs
Taxonomy of ANNs
taxonomy of multivariate methods
Survey on Multivariate Methods
TDNN
Time Series - Neural Network Models
temperature
Exercise - Determine time shift by autocorrelation
test
Types of Error
Interpreting p values
Kolmogorov-Smirnov One-Sample Test
Test for Normality
Outlier Tests
Outlier Tests - Basic Rules
Outlier Test - Dean and Dixon
One-Sample t-Test - Large Samples
One-Sample t-Test - Small Samples
One Sample Chi-Square-Test
Two-Sample t-Test
Two-Sample t-Test - Large Samples
Two-Sample t-Test - Small Sample Size
Two-Sample F-Test
Chi-Square Test
Comparing means
Paired Experiments
Distribution-Free Tests
Hypothesis Testing
One-Sided vs. Two-Sided Tests
Power of a Test
Test: Correlation Coefficient
Randomization Tests
Rank Randomization Tests
Wilcoxon Test for Paired Differences
Significance of Outliers
Uncorrelated Residuals - Durbin-Watson Test
Runs Test
Shapiro-Wilk Test
Median Test
textbooks in statistics
Literature References - Textbooks
theorem of Chebyshev
Chebyshev's Theorem
thermal noise
Physical Origin of Noise
third moment
Skewness
tied observations
Spearman's Rank Correlation
Tied Observations
time and frequency
Time and Frequency
time dependence of data
Time Dependence of Data
time series
Literature References - Time Series
Signals as Time Series
Time Series - Neural Network Models
Time Series - Definition of ARIMA Models
Time Series - Establishing ARIMA models
Time Series - Forecasting
Time Series - Introduction
Time Series - Model Finding
Time Series - Trends
Time Dependence of Data
time shift
Exercise - Determine time shift by autocorrelation
time-averaging
Signal and Noise
Time-Averaging
Time-Averaging - Mathematical Details
topological descriptors
Data Set - Boiling Points and Chemical Descriptors
trace
Matrix Algebra - Fundamentals
trains
Data Set - Delayed Trains
transformation
Curvilinear Regression
Regression after Linearisation
transformation of data space
Transformation of the Data Space
Transformation of the Data Space - Example: mass spectrometry
transposed matrix
Transposed Matrix
PCA of Transposed Matrices
treatment
Experimental Design
trend analysis
Exercise - Weight Loss of Coins
trends
Time Series - Trends
triangular window
Windowing Function and FFT
trimmed data
Censored Data
trimmed mean
Mean
true positive/negative
Classifier Performance
Tukey window
Windowing Function and FFT
two-sample F-test
Two-Sample F-Test
two-sample t-test
Two-Sample t-Test - Large Samples
two-sided tests
One-Sided vs. Two-Sided Tests
types of error
Types of Error
types of noise
Types of Noise