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
Nonparametric Tests
- 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)
Graphics
- Pie chart
- Bar chart
- Area graph
- Line graph
- Scatter graph
- Box-whisker graph
- 3D surface graph
- Bubble charts
- Polar charts
- Radar charts
- Polynomial regression plot
- Pareto chart option in frequency analysis plots
- Kaplan-Meier survival curves
- Density function plots and cumulative probability plots for Gaussian (Normal) distribution, lognormal distribution, Weibull distribution, gamma distribution, Poisson distribution, beta distribution and chi-square distribution
- Regression plots direct from raw data (single factor, single factor repeated measures)
- Polynomial regression plots
- One-factor response curves and two-factor response surface plots(1st and 2nd order)
- Minimum spanning tree plots for 2 dimensions
- Levey-Jennings/Shewart Charts
- Sequential test for a population mean
- Sequential test for a standard deviation classification
- c-chart
- X-chart
- R-chart
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Parametric Tests
- 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
Data Transforms
- Polynomial
- Reciprocal
- Natural Log
- Log10
- Log2
- Ln(x+1)
- Exp(x)
- Square Root
- Cube Root
- Xn
- Sin
- Cos
- Tan
- Sort Ascending
- Sort Descending
- Rank Ascending
- Rank Descending
- Modulo
- Absolute Value
- Standardize
- Center
- Multiply columns
- Divide columns
- Add columns
- Subtract columns
- Error function
- Complementary error function
- Logit
- Probit
- Normit
- Normal probabilites
- Student's t probabilities
- F distribution probabilities
- Chi-Squared probabilities
- Transform by a spreadsheet formula
- Matrix operations: inverse matrix, transpose Matrix
- Sinh
- Cosh
- Tanh
- aSin
- aCos
- aTan
- Bessel functions of first and second kind
- Conversions
- Integer ceiling, floor
- Powerful language to program user-defined transforms
Miscellaneous
- Generate uniformly distributed random numbers
- Generate normal randomly distributed numbers
- Generate Poisson randomly distributed numbers
- Generate exponentially distributed numbers
- Generate gamma randomly distributed numbers
- Fill range with arithmetic sequence
- Fill range with geometric sequence
- Fill range with constant
- Kolmogorov-Smirnoff test for goodness of fit (to investigate the difference between an observed distribution and a specified population distribution)
Quality control
- The sequential test for a dichotomous classification
- Quality control acceptance sampling
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