Descriptive Stats

• Arithmetic mean
• Standard deviation (n-1)
• Standard deviation (n)
• Standard error
• Skewness
• Kurtosis
• 95% confidence limit for mean
• 99% confidence limit for mean
• Min value
• Max value
• Sample range
• Number of samples
• Median
• Sx
• Sx2
• Geometric mean
• Variance
• Average deviation
• Angular Descriptive Stats
• Cosine mean
• Sine Mean
• Mean vector length
• Mean angle Cosine
• Mean angle Sine
• Mean angle Tan
• Mean angle
• Circular variance
• Angular variance
• Angular deviation
• Circular standard deviation

• Frequency analysis
• Unpaired t-test
• Paired t-test
• Unequal variance t-test
• Bonferroni t-test
• One-way non-repeated ANOVA
• One-way repeated ANOVA
• Two-way replicated ANOVA
• Two-way repeated ANOVA
• Three-way ANOVA
• Linear regression
• Multiple linear regression
• Compare two observed values
• Compare 2 sample proportions
• Compare sample and population
• Compare paired proportions
• Bartlett's test
• Dunnett's test
• Duncan's test
• Tukey's test
• General N factor ANOVA for multiple fixed effects factors
• 2k factorial design for k=2,3
• Durbin-Watson test (residual auto correlation test)
• Single classification ANCOVA for completely randomized design
• Pearson R
• Repeated measures linear regression
• Backward elimination for multiple linear regression
• Polynomial regression.
• Tigonometric regression.
• Linear-linear correlation
• Angular-angular correlation
• Angular-linear correlation
• Rayleigh test determine if oberved samples of angular data have a tendency to cluster around a given angle indicating a lack of randomness of the distribution)
• Single Factor analysis of variance for angular data
• Link-Wallace test for multiple com-parisons of k population means
• Hotelling's T-square test for two series of population means
• Dixon test for outliers
• F-test for the overall mean of K subpopulations (ANOVA)
• F-test for multiple comparisons of contrasts between K population means
• F-test for K population means (ANOVA)
• Z-test of a correlation coefficient
• Z-test of 2 correlation coefficients
• t-test of a correlation coefficient
• Hartley's test for equality of K variances
• Fisher cumulant test for normality of a distribution.
• F-test for two population variances
• Z-test for correlated proportions
• The w/s test for normality of a population
• Cochran test for variance outliers
• Chi-square test for compatibility of K counts
• Cochran test for consistency in an nxk table of dichotomous data.
• Chi-square test for consistency in a 2xk table
• Chi-square test for independence in a pxq table
• Sign test for a median
• Sign test for two medians (paired observations)
• Signed rank test for a mean
• Signed rank test for two mean (paired observations)
• Mardia-Watson-Wheeler test (to test whether two independent random samples from circular observations differ significantly from each other regarding mean angle, angular variance or both)
• Harrison-Kanji-Gadsden test

• NxK Chi-squared
• 2x2 Chi-squared
• Fisher's exact test
• McNemar's test
• One-sample chi-squared
• Cramer's V
• Contingency coefficient
• Wilcoxon's matched pairs
• Mann-Whitney U-Test
• Friedmann's test
• Kruskal-Wallis test
• Spearman rank correlation
• Kendall rank correlation
• Kendall partial rank correlation
• Kendall coefficient of concordance
• LogRank test
• Mantel-Haenszel test
• Kolmogorov-Smirnov test
• Phi-coefficient for 2x2 tables
• Cramer coefficient C
• Median test
• Extension of the median test
• Robust rank order test
• Siegel-Tukey test for scale differences
• Moses rank-like test for scale differences.
• Cochran Q-test.
• Jonckheere test for ordered alternatives
• Page test for ordered alternatives
• Chi-square test for k independent samples
• Kendall coefficient of agreement u
• Kappa statistic for nominally scaled data.
• Gamma statistic for ordered variables
• Lambda statistic for asymmetrical association
• Somers d for asymmetrical association of ordered variables
• Cox's F-test
• Fisher's cumulant test for normality of a distribution.
• F-test for two counts (Poisson distribution).
• Wilcoxon inversion (U) test
• Median test of two populations
• Median test of k populations
• The Siegal-Tukey rank sum dispersion test of two variances
• Steel test for comparing K treatments with a control
• Sequential test for a population mean
• Sequential test for a standard deviation
• Adjacency test for randomness of fluctuations
• Serial correlation test for randomness of fluctuations
• Turning point test for randomness of fluctuations
• The difference sign test for randomness in a sample
• Run-test on successive differences for randomness in a sample
• Run-test for randomness of two related samples
• Run-test for randomness in a sample
• Wilcoxon-Mann-Whitney rank sum test for randomness of signs
• Friedmann's test for multiple treatment of a series of subjects
• Rank correlation test for agreement in multiple judgements
• Test the equality of multinomial distributions
• Bowker test for nominal-scale data
• Lehmacher test for variables with more than 2 categories
• Fisher contingency table test for variables with more than two categories
• Gehan test for censored data
• Fisher-Pitman randomization test for interval-scale data
• Pitman-Welch test for interval scale data
• Wall test for nominal scale data
• Pitman randomization test for interval scale data
• Angular-angular correlation
• Watson U2 test (To test whether two samples from circular observations differ significantly from each other, regarding mean direction or angular variance
• Watson-Williams test (to test whether the mean angles of two independent circular observations differ significantly from each other)