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