Kit für angewandte Statistik

Statistical analysis plan for a thesis or project: estimands, hypotheses, sample size, primary model, pre-set assumption fallbacks, missing data, multiplicity, sensitivity, deviations log

Power analysis and sample size worksheet: t-tests, proportions, ANOVA, correlation, regression, simulation power, sensitivity table and justification sentence

A/B test design – hypothesis, sizing, decision rule

Reproducible data cleaning with an audit log: duplicates, range and consistency checks, pre-set outlier policy, missing data mechanisms (MCAR, MAR, MNAR), imputation choices, R and Python code

Exploratory data analysis report – centre, spread, shape, frequency tables, Vega-Lite charts, outlier screen and questions for confirmatory analysis, with R and Python code

Data transformations method card – log, sqrt, Box-Cox, Yeo-Johnson, logit, z-scores, centring and ranks, percent-change interpretation and smearing back-transformation, with R and Python

One- and two-proportion tests (exact binomial, z, 2x2 chi-square link), Wilson and Newcombe intervals, risk difference, relative risk and odds ratio, A/B test framing

One-sample, Welch and pooled independent, and paired t-tests with hand calculation, R and Python code, Hedges' g and APA-style reporting

Mann-Whitney U, Wilcoxon signed-rank, sign test, Kruskal-Wallis with Dunn (Holm) and Friedman, with R vs Python defaults, ties and effect sizes

Bootstrap percentile, basic and BCa intervals, exact and Monte Carlo permutation tests, simulation checks and seeds, in R and Python

Poisson and negative binomial regression for counts: rate ratios, offsets for exposure, overdispersion check, quasi-Poisson, theta vs alpha, zero-inflation note, with R and Python

Decomposition, ADF and KPSS, ACF and PACF, seasonal ARIMA identification, Ljung-Box checks, forecasts with intervals and hold-out accuracy, in R and Python

Working report for one regression model: purpose and estimand, data and sample, variables, specification, diagnostics checklist with evidence, results, model comparison, validation, sensitivity, limitations, reproducibility and sign-off

Complete statistical analysis report for a thesis results chapter or client: plain-language summary, methods, descriptives, main analyses, assumption checks, sensitivity, limitations, reproducibility appendix, reviewer checklist

Writing statistical results: complete-result anatomy, number formatting, model sentences for t, ANOVA, chi-square, correlation, regression, logistic, nonparametric and mixed models, tables, figures, checklist