
STATISITCS
- Select cases using conditional IF... THEN
- Bootstrapping
- Case and frequency weighting
Descriptive Statistics
- Stem and leaf display
- Mean, median, sum and number of cases
- Min, max, range and variance
- Coefficient of variation, std err of mean
- Adjustable confidence intervals of mean
- Skewness, kurtosis, including standard errors
ANOVA
- One-way ANOVA: multiple tests, Bonferroni, Tukey-Kramer HSD, Scheffe, Fisher's LSD
- Two-way ANOVA: post hoc tests on least squares means (Bonferroni, Tukey, LSD, Scheffe)
- Repeated measures: one-way, two or more factors, three or more factors
- Designs: unbalanced, randomized block, incomplete block, fractional factorial, mixed model, nested, split plot, Latin square, crossover and change over, Hotelling's T2
- MANOVA, ANCOVA
- Means model for missing cells designs
- Automatic outlier and influential point detection
- QuickGraph: least squares means
Classification and Regression Trees
- Loss functions: least squares, trimmed mean, LAD, phi coefficient, Gini index, Twoing
- QuickGraph: unique tree mobile including split statistics and color coded subgroup densities (box, dot, dit, jitter, stripe)
Cluster Analysis
Hierarchical
- Euclidean, percent, gamma, Pearson,R-squared, Minkowski, chi-square, phi-square
- Linkage methods: single, complete, centroid, average, median and Ward
- QuickGraphs: dendrograms, matrix and polar
k means
- Euclidean, MWSS, gamma, Pearson,R-squared, Minkowski, chi-square, phi-square
- QuickGraphs: parallel coordinate and mean/std deviation profile plots
Crosstabulation and Measures of Association
- One-, two-way and multiway tables
- Row and column frequencies, percents, expected values and deviates
- List layouts, order categories, define intervals, including missing intervals
- 2 x 2 tables: likelihood ratio chi square, Yates', Fisher's, odds ratio, Yule's Q
- R x R tables: McNemar's test, Cohen's kappa
- R x C tables: unordered levels, phi, Cramer's V, contingency coefficient, uncertainty coefficient, Goodman-Kruskal's lambda
- R x C ordered levels: rho, Goodman-Kruskal's gamma, Kendall's tau-b, Stuart's tau-c, Somers' D
- Others: Mantel-Haenszel test, Cochran test
Conjoint Analysis
- Monotonic, linear, log and power
- Stress and Tau loss functions
- QuickGraph: utility function plot
Correlations, Distances and Similarities
- Continuous data: Pearson correlations, Euclidean, city, Bray-Curtis, QSK
- Rank order data: Spearman, gamma, mu2, tau
- Binomial data: S2, S3, S4, S5, S6
- Missing data: pairwise, listwise deletion, EM
- Hadi outlier detection and estimation
- Probabilities: Bonferroni, Dunn-Sidak
- Tetrachoric correlations
- QuickGraph: scatterplot matrix
Correspondence Analysis
- Simple and multiple
- QuickGraphs: vector and casewise plots
Design of Experiments
- Choose between Classic and Advanced DOE with dynamic wizard
- Central composite designs
- Optimal Designs
- Complete and incomplete factorial designs
- Latin square designs, 3-12 levels per factor
- Box and Hunter 2-level incomplete designs
- Taguchi designs Plackett and Burman designs
- Box and Behnken designs
- Mixture: lattice, centroid, axial, screening
Discriminant Analysis
- Linear or quadratic functions
- Prior probabilities, contrasts
- Output: F statistics, F matrix, eigenvalues, canonical correlations, canonical scores, classification matrix, Wilk's lambda, Lawley-Hotelling, Pillai and Wilk's trace, classification tables, including jackknifed, canonical variables, covariance and correlation matrix, posterior probabilities and Mahalanobis distances
- Stepwise modeling: automatic, forward, backward and interactive stepping
Factor Analysis
- Principal components, iterated principal axis, maximum likelihood
- Rotation: varimax, quartimax, equimax, orthomax, oblimin
General Linear Model (GLM)
- Any general linear model Y = XB+e
- Any general linear hypothesis ABC' = D
- Mixed categorical and continuous variables
- Stepwise model building
- Post-hoc tests
- See also linear regression and ANOVA
Linear Regression
- Cross validation, saving residuals and diagnostics, Durbin-Watson statistic
- Multiple linear regression
- Stepwise regression: automatic, customized and interactive stepping, partial correlations
- Hypothesis testing, mixture models
- Automatic outlier and influential point detection
- QuickGraph: residuals vs. predicted values
Loglinear Models
- Full maximum likelihood
- Pearson and likelihood ratio chi-square
- Expected values, lambda, SE lambda
- Covariance matrix, correlation matrix
- Deviates, Pearson deviates, Likelihood deviates, Freeman Tukey deviates, log likelihood
Missing Value Analysis
- EM Algorithm
- Regression substitution
- Save estimates, correlation, covariance, SSCP matrices
Mixed Regression
- Hierarchical Linear Models (HLM)
- Fixed and random effects
- Autocorrelated error structures
- Nested Models (2-Level): Repeated Measures, Clustered Data
- Unbalanced or balanced data
- Quickgraph: Scatterplot matrix of empirical Bayes estimates
Multidimensional Scaling (MDS)
- Two-way scaling: Kruskal, Guttman, Young
- Three-way scaling: INDSCAL
- Nonmetric, nonmetric unfolding
- EM estimation
- Power scaling for ratio data
- QuickGraphs: MDS plot, Shepard diagram
Nonlinear Regression
- Gauss Newton, Quasi Newton, simplex
- Output: predicted values, residuals, asymtotic standard errors and correlations, confidence curves and regions
- Special features: Cook-Weisberg confidence intervals, Wald intervals, Marquardting
- Robust estimation: absolute, power, trim,Huber, Hampel, t, bisquare
- Maximum likelihood estimation
- Piecewise regression, kinetic models, logistic model for quantal response data
- Exact derivatives
- QuickGraph: scatterplot with fitted curve
Nonparametric Tests
- Independent samples: Kruskal-Wallis, two- sample Kolmogorov-Smirnov, Mann-Whitney
- Related variables: sign test, Wilcoxon signed rank test, Friedman test
- One-sample: Kolmogorov-Smirnov, Wald-Wolfowitz runs test
Path Analysis (RAMONA)
- Analyze covariance or correlation matrices
- MWL (maximum Wishart likelihood)
- GLS (generalized least squares)
- OLS (ordinary least squares)
- ADFG (asymptotically distribution free estimate biased, Gramian)
- ADFU (unbiased)
Partially Ordered Sets (POSAC)
- Guttman-Shye algorithm; automatic seriation
- QuickGraph: item plot
Perceptual Mapping
- MDPREF
- Preference mapping (vector, circle, ellipse)
- Procrustes and canonical rotations
- QuickGraph biplots
Power Analysis
- Determine sample size to achieve a specified power
- Determine power for a single sample size
- Determine power for a range of sample sizes
- Proportions, correlations, t-tests, z-tests, ANOVA (one-way, two-way), generic designs
- QuickGraph: power curve
Probit
- Dummy variables and interactions
Set and Canonical Correlations
- Whole, semi and bipartial set correlations
- Rao F, R-Square, Shrunk R-Square, T-Square, Shrunk T-Square, P-Square, Shrunk P-Square Within, between and inter set correlations
- Row/Column betas, standard errors, T-statistics and probabilities
- Stewart-Love canonical redundancy index
- Canonical coefficients, loadings and redundancies
- Varimax rotation
Signal Detection Analysis
- Models: normal, Chi-square, exponential
- QuickGraph: receiver operating characteristic curve
Spatial Statistics
- 2D & 3D variogram, Kriging and simulation
- Variogram types: semi, covariance, correlogram, general relative, pairwise relative, semi-log, semimadogram
- Semivariogram models: spherical, exponential, gaussian, power and hole effect
- Kriging types: simple, ordinary, nonstationary and drift
- QuickGraphs: variogram and contour plot
Survival Analysis
- Kaplan-Meier and actuarial life tables Turnbull KM estimation (EM)
- Cumulative hazards and log cum hazards
- Cox regression, parametric models: exponential, accelerated exponential, Weibull, accelerated Weibull, lognormal, logistic
- Type I, II and III censoring
- Stratification, time dependent covariates
- Forward, backward, automatic and interactive stepwise regression
- QuickGraphs: survival, quantile, reliability and hazard
t-tests for Means
- One- and two-sample and paired t-tests with Bonferroni, Dunn-Sidak adjustments
- QuickGraphs: box/normal density overlay
Test Item Analysis
- Classical analysis
- One and two parameter logistic model
- QuickGraph: item plot
Time Series
- Smoothing: LOWESS, moving average, running median, and exponential
- Seasonal adjustment
- Fourier and inverse Fourier transforms
- Box-Jenkins ARIMA model
- Specify autoregressive, difference and moving average parameters
- Forecast and standard errors
- Polynomially distributed lags
- QuickGraphs: series plot, autocorrelation, partial autocorrelation, cross correlation, periodogram
Two Stage Least Squares
- Heteroscedasticity-consistent standard errors
SYSTAT Main Page
Graphs
General Features
Additional Features
System Requirements:
- Pentium / clone or above
- Microsoft® Windows® 95/98/NT 4/2000
- 32 MB RAM (minimum)
- 30MB hard disk space
- SVGA monitor
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