Documentation

Under the hood: real R

Every calculation in SAI Statistics is powered by R. You can inspect the formulas and algorithms behind each analysis directly in the R documentation and verify the reliability of the results yourself.

R ProjectCRAN Archive

Analysis → R Reference

The R function each analysis is based on, with its official documentation.

Independent / Paired t-Testt.test(x, y)statsOne-Way ANOVAaov(y ~ grup)statsLinear Regressionlm(y ~ x, data = veri)statsCorrelation (Pearson / Spearman)cor.test(x, y, method = 'pearson')statsChi-Square Test of Independencechisq.test(tablo)statsMann-Whitney U Testwilcox.test(x, y)statsKruskal-Wallis Testkruskal.test(y ~ grup)statsShapiro-Wilk Normality Testshapiro.test(x)statsLevene's Test for Homogeneity of Varianceaov(abs(y - ave(y, grup)) ~ grup)statsCronbach's Alpha (Internal Consistency)alpha(olcek)psychDescriptive Statisticsmean(x); sd(x)statsExploratory Factor Analysisvarimax(yuklemeler)stats

R Packages Used

The main open-source CRAN packages that ship with the application.

library(stats)

R's core statistics package; most t-tests, ANOVA, regression, correlation and basic tests.

library(psych)

Psychometrics: KMO and Bartlett tests and Promax rotation; Cronbach alpha results are validated against this package.

library(nortest)

Lilliefors-corrected Kolmogorov-Smirnov normality test.

library(MASS)

Discriminant analysis, robust estimators and additional statistical functions.

library(BayesFactor)

Bayes factors for Bayesian t-tests, ANOVA, correlation and regression.

library(coin)

Exact and Monte Carlo non-parametric tests for tied data.

library(survival)

Survival analysis: Kaplan-Meier and Cox regression.

library(lme4)

Mixed-effects models: generalized linear mixed models (GLMM).