Browse this page to see what
kind of topics are included in the table's
sites.
Classification of Topics
Descriptive Data-Analysis
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Descriptive Statistics
(Covariance, Density Trace, Effect Size, Frequency Distributions, Interquartile
Range, Kurtosis, Mean, Median, Mode, Multivariate, Percentiles, Quantiles,
Quartiles, Range, RMS, SD, Skewness)
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Graphical Methods (Box
Plots, Contingency Tables, Dot Plots, Stem and Leaf Displays, Frequency
Polygons, Frequency Tables, Histograms, Line Plots, Pareto Chart, Scatterplots,
Tables, Tree Diagrams, Time Plot)
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Transformations (2-Variable,
Box-Cox, Convolution, Graphs, Linear, Mean Centered, Normalized Linear,
Power, Scores, Variables)
Probability Theory
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Distributions (Bernoulli,
Beta, Binomial, Negative Binomial, Cauchy, Chi-squared, Erlang, Exponential,
Extreme Value, F, Gamma, Geometric, Gompertz, Gumbel, Hypergeometric, Laplace,
Logistic, Lognormal, Multinomial, Normal, Pareto, Poisson, Rayleigh's,
Student's t, Triangular, Uniform, Weibull, Z)
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Limit Theorems (Central
Limit Theorem, Law of Averages, Law of Large Numbers, Normal Approximation,
Poisson Approximation, Stirling Approximation)
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Probability (Additive Law,
Axioms, Bayes's Theorem, Benford's Law, Binomial, Combinations, Conditionality,
Convergence, Convolution, Empirical Law of Averages, Expected Value,
Games of Chance, Independence, Joint, Marginal, Markov's and Chebychev's
Inequalities, Multinomial Coefficients, Multiplicative Law, Permutations,
Poisson Approximation, Random Variables, Relative Frequency Approach,
Set Theory, Trees, Zipf's Law)
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Problems and Paradoxes
(Barycentric Coordinates, Bear Cub's Problem, Bertrand's Paradox, Brownian
Motion, Buffon's Needle, Cereal Box Problem, Coin Tossing, Lewis Carroll's
Problem, Pauling's Joke, Simpson's Paradox, Three Door Problem/Monty Hall/Let's
make a Deal, Three Pancakes Problem)
Statistical Inference
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Decision Theory (Classification
Trees, Critical Value, Matching pennies, Minimax Strategies, Nash Equilibria,
Payoff Matrices, Prisoners' Dilemma, Random Strategies)
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Estimation (Auto-Correlation
function, Bayesian Confidence Intervals, Bernoulli Model, Bias, Bootstrap,
Chebychev's Estimate, Conditional Expectation, Confidence Intervals, Consistency
of Sample Mean Estimator, Correlogram, EM algorithm, Errors of Estimators,
Estimators, Expected Value, Goodness of Fit, Interval Estimation, Maximum
Likelihood Method, Method of Moments, Monte Carlo Estimation, Mean Square
Error, Nonlinear Procedures, Non-Parametric Maximum Likelihood Estimator,
Point Estimation, Poisson Rate, Proportions, Standard Error of Estimate)
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Tests (1-sided, 2-sided,
1-sample t, 2-sample t, Chi-squared, Correlated t, Dependent t, Durbin-Watson,
Friedman, Hypotheses, Independent t, Kolmogorov-Smirnov 1-sample, Kruskal-Wallis,
Mann-Whitney, Null and Alternative Hypotheses, P-value, Paired Samples,
Power, Power Curve, Proportions, Significance Level, t, Nested t, Pairwise
t, t-Repeated Measures, t-Robustness, Type I and Type II Errors, Wilcoxon
Rank Sum, z, z-scores)
Correlation and Regression
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Correlation (Coefficients,
Kendall's Tau, Multiple, Pearson's, Rank, Spearman's)
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Regression (Caveats, ESS,
Exponential, Extrapolation, Factorial, General Stepwise, Heteroscedasticity,
Influence Curves, Intercept, Interpolation, Least Absolute Deviation Method,
Least Squares Method, Log-Normal, Mixture Surface, Mean Square Error, Multicollinearity,
Multiple, Non-Linear, Non-Parametric, Normal, Outliers, Partial Least Squares,
Power Considerations in Interactive models, Prediction, Regression to the
Mean, Residuals, Response Surface, Restrictions of Range, RMSE, Rohwert
Weights, RSS, Scatterplot Smoothing, Simple Linear, SSE, SSR, SST, Standard
Error of Estimate)
Statistical Methods
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ANOVA (1-way, 2-way, 3-way,
Between Groups Variation, Blocking, Contrast Analysis, Covariance, Cross-tables,
Degrees of Freedom, Factorial, F-ratios, Homogeneity of Variances, Nested,
Unequal n, Within Groups Variation)
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Experimental Designs (Box-Behnken,
Fractional Factorial, Maximally Unconfounded, Minimum Aberration, Mixed
2- and 3-level Factorial)
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Quality Control (C-chart,
Capability Analysis, Control Chart, CUSUM-chart, EWMA-chart, MA-chart,
NP-chart, Operating Charasteristic Curves, P-chart, R-chart, Pareto Analysis,
Pareto Chart, S-chart, U-chart, T-chart, X-chart)
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Reliability Analysis (Correction
for Attenuation, Cronbach's Alpha, Measures of Reliability, Scales)
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Sampling (Cluster, Distribution
of Mean, Distribution of Variance, Finite Sampling Models, Infinite
Sampling Models, Paired Samples, Power Relationships, Proportions, Random
Samples, Sample Mean, Sample Standard Deviation, Sampling Distribution,
Simple Random, Spatial, Stratified, Systematic)
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Survival Analysis (Life
Table Analysis, Kaplan-Meier Product-Limit Estimator)
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Time Series (ARIMA, Auto
Correlation Function, Decomposition, Estimation of Trend or Variations,
Fourier Transformations, Forecasting, Interpolation and Extrapolation,
Missing data, Movements, Moving Averages, Partial Auto Correlation Function,
Periodogram, Seasonal Decomposition, Smoothing, Spectral Analysis,
Time Delay)
Multivariate Analysis
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Correspondence Analysis
(Burt Tables, Inertia, Mass, Multiple)
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Cluster Analysis (2-way
Joining, Hierarchical, Joining, K-means, Minimal Spanning Tree)
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Discriminant Analysis (Multiple,
Simple, Stepwise)
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Factor Analysis (Intercorrelation
Matrix, Kaiser's criterion, Principal Component Method, Properties of Factors,
Rotation, Varimax Rotation)
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Multivariate Regression
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MANOVA
Unclassified
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Neural Networks
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Simulation (Game of Chaos,
Game of Life, Monte Carlo Procedures, Resampling)
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Stochastic Processes (Branching,
Markov's Chains, Poisson Process)
URL:
http://www.hut.fi/Units/SAL/Teaching/Resources/ProbStat/classification.html
These pages were made during the summer of 2000 in Systems Analysis Laboratory.
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Last updated on 29.8.2001.