# BrightStat's Statistics Features

**Descriptive**analysis including: Arithmetic mean, geometric mean, harmonic mean, mode, median, minimum, maximum, sum, standard deviation, variance, standard error of the mean, kurtosis and skewness.

**Frequencies**percent and cumulative percent (percentiles and Tukey Hinges)

**Non-parametric Tests:****Binomial Test****kxl Chi-Square**including likelihood ratio, Phi, Cramer's V, Kendall's tau-b and tau-c, Cohen's Kappa.**McNemar**including McNemar exact, likelihood ratio, Phi, Cramer's V, symmetric measures.**Fisher's exact test**

**Mann-Whitney**U test for comparison of two independent samples.**Kruskal-Wallis**test for comparison of more than two independent samples. Including paired comparisons for post-hoc analysis.**Wilcoxon**and**Sign-test**for comparison of two dependent samples.**Friedman-Test**for comparison of more than two dependent samples. Including Conover statistics and paired comparison for post-hoc analysis. Including**Kendall W****Kolmogorov-Smirnov**one sample test for testing against uniform, normal and exponential distribution.**Lilliefors**correction for test against normality.**Kolmogorov-Smirnov**two sample test

**Parametric Tests:****One-sample t-test**for testing sample mean against mean of population.**Two independent samples t-test**for mean comparison of two independent samples.

Including**Levene**test for homogeneity of variances.

**Two dependent samples t-test**for mean comparison of two dependent sample. Including paired correlations.**One-Way ANOVA**including Levene and Brown Forsythe test for homogeneity of variances, post hoc test**LSD, Tukey HSD**,**Scheffe, Sidak and Bonferroni**for equal variances assumed and**Games-Howell GH, Tamhane T2**, for equal variances not assumed.**Repeated One-Way ANOVA**including estimation of Epsilon (lower-bound, Greenhouse-Geisser, Huynh-Feldt) including post hoc test**LSD, Tukey HSD**,**Scheffe, Sidak and Bonferroni**for observed means and**LSD, Sidak and Bonferroni**for estimated marginal means.**ANOVA**, univariate analysis of variances for fixed factors, including Type I and Type III sum of squares, Levene and Brown Forsythe test for homogeneity of variances, eta squared, partial eta squared and observed power, including post hoc test**LSD, Tukey HSD**,**Scheffe, Sidak and Bonferroni**for equal variances assumed and**Games-Howell GH, Tamhane T2**, for equal variances not assumed.**ANOVA split-plot**Type III sum of squares including test for sphericity, Levene and Brown Forsythe test for homogeneity of variances, including post hoc test**LSD, Tukey HSD**,**Scheffe, Sidak and Bonferroni**for observed means and**LSD, Sidak and Bonferroni**for estimated marginal means, up to 1 within and n between factors,**Multivariate ANOVA**Type I and Type III sum of squares including**Wilks lambda**,**Pillai's trace**and**Hotelling's trace**- ANOVA and MANOVA allow to
**plot main effects and 2-way interactions**as**line, column or area plots**with**configurable error bars**(absent, confidence intervals or a multiple of standard errors) **Pearson bivariate correlations**.**Spearman rank correlations**.**Multiple Linear Regression**, including correlationmatrix, model-fit, ANOVA-table, parameter estimates, part and partial correlations, collinearity (tolerance and variance inflation factor), change statistics. Methods: enter, forward, backward and step.

**Logistic Regression**, including parameter estimates, iteration history, model test, Cox and Snell R², Nagelkerke R², correlation table, save predicted values (probability, group membership), influence (Cook's distance, leverage, DfBeta(s)), residuals (non-standardized, standardized, studentized, logit, deviance)**Reliability Analysis**, including correlationmatrix, covariancematrix, ANOVA-F-table, item statistics, item total-statistics, scale-statistics, summaries, Hotelling T-squared, Tukey test for nonadditivity, intraclass correlations. Models: alpha, split-half, Guttman, parallel, strict-parallel.**One-sample variance test****k-sample variance test**(Levene and Brown Forsythe test for homogeneity of variances)**Kaplan Meier survival analysis**, including tests for equality of survival functions and statistic for linear trend.**Four different plots**(Survival, 1-Survival, Hazard [-ln(Survival)] and ln(Survival)) are available together with customizable confidence intervals.

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