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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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