Bộ Thống kê ứng dụng cho người phân tích
Kế hoạch phân tích, power, kế hoạch A/B test, làm sạch dữ liệu, EDA, biến đổi dữ liệu, kiểm định tỷ lệ và t-test, phương pháp phi tham số và lấy mẫu lại, hồi quy dữ liệu đếm, dự báo ARIMA và báo cáo mô hình.
Định hình bài toán
Statistical Analysis Plan Template (Statistics, Thesis or Project)
Đầy đủStatistical analysis plan for a thesis or project: estimands, hypotheses, sample size, primary model, pre-set assumption fallbacks, missing data, multiplicity, sensitivity, deviations log
ICH E9(R1) estimand framework (name); Gamble et al. (2017) SAP content; Holm (1979); Rubin (1987); Borm et al. (2007)Power Analysis and Sample Size Template (Statistics, R and Python)
Đầy đủPower analysis and sample size worksheet: t-tests, proportions, ANOVA, correlation, regression, simulation power, sensitivity table and justification sentence
Cohen (1988); Lakens (2022) sample size justification; Hoenig and Heisey (2001); pwr 1.3.0 and statsmodels 0.15.0A/B Test Plan Template
ChuẩnA/B test design – hypothesis, sizing, decision rule
Dữ liệu
Data Cleaning Log Template (Statistics, Missing Data, R and Python)
Đầy đủReproducible 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
Rubin (1976); Little (1988); Little and Rubin (2019); van Buuren and Groothuis-Oudshoorn (2011); Tukey (1977); NIST/SEMATECH e-HandbookExploratory Data Analysis Report Template (Statistics, R and Python)
Đầy đủExploratory data analysis report – centre, spread, shape, frequency tables, Vega-Lite charts, outlier screen and questions for confirmatory analysis, with R and Python code
Tukey (1977); NIST/SEMATECH e-Handbook ch. 1 (EDA); Hyndman and Fan (1996); GAISE College Report (ASA 2016, name)Data Transformations Method Card Template (Statistics, R and Python)
Đầy đủData 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
Box and Cox (1964); Yeo and Johnson (2000); Duan (1983); Warton and Hui (2011); NIST/SEMATECH e-Handbook (Box-Cox)
Phương pháp và mẫu
Proportion Tests Method Card Template (Statistics, R and Python)
Đầy đủOne- 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
Wilson (1927); Clopper and Pearson (1934); Yates (1934); Newcombe (1998); Agresti and Coull (1998); NIST/SEMATECH e-Handbook; APA JARS-Quant (name)t-Tests Method Card Template (Statistics, R and Python)
Đầy đủOne-sample, Welch and pooled independent, and paired t-tests with hand calculation, R and Python code, Hedges' g and APA-style reporting
Student (1908); Welch (1947); Satterthwaite (1946); Hedges (1981); NIST/SEMATECH e-Handbook 1.3.5.3; APA JARS-Quant (name)Nonparametric Rank Tests Method Card Template (Statistics, R and Python)
Đầy đủMann-Whitney U, Wilcoxon signed-rank, sign test, Kruskal-Wallis with Dunn (Holm) and Friedman, with R vs Python defaults, ties and effect sizes
Wilcoxon (1945); Mann and Whitney (1947); Kruskal and Wallis (1952); Friedman (1937); Dunn (1964); Holm (1979); NIST/SEMATECH e-Handbook; APA JARS-Quant (name)Bootstrap and Permutation Methods Card Template (Statistics, R and Python)
Đầy đủBootstrap percentile, basic and BCa intervals, exact and Monte Carlo permutation tests, simulation checks and seeds, in R and Python
Efron (1979); Efron and Tibshirani (1993); Davison and Hinkley (1997); NIST/SEMATECH e-Handbook; R boot and SciPy documentationCount Regression Method Card Template (Statistics, Poisson and NB, R and Python)
Đầy đủPoisson 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
Nelder and Wedderburn (1972); Lawless (1987); Lambert (1992); Cameron and Trivedi (2013); Venables and Ripley (2002) MASS; NIST/SEMATECH e-Handbook (public domain)Time Series and ARIMA Method Card Template (Statistics, R and Python)
Đầy đủDecomposition, ADF and KPSS, ACF and PACF, seasonal ARIMA identification, Ljung-Box checks, forecasts with intervals and hold-out accuracy, in R and Python
Box and Jenkins (1970); Dickey and Fuller (1979); Kwiatkowski et al. (1992); Ljung and Box (1978); NIST/SEMATECH e-Handbook 6.4; R forecast and statsmodels documentation
Tài liệu
Regression Model Report Template (Statistics, R and Python)
Đầy đủWorking 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
Shmueli (2010) explain vs predict; Harrell (2015); TRIPOD (Collins et al. 2015) and TRIPOD+AI (Collins et al. 2024), names only; APA JARS-Quant (name); Akaike (1974); Schwarz (1978)Statistical Analysis Report Template (Statistics, Thesis or Client)
Đầy đủComplete 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
APA JARS-Quant (name); ASA Statement on p-values (Wasserstein and Lazar 2016); Welch (1947); Mann and Whitney (1947); Cook (1977)Reporting Statistical Results Template (Statistics, APA Style, R and Python)
Đầy đủWriting statistical results: complete-result anatomy, number formatting, model sentences for t, ANOVA, chi-square, correlation, regression, logistic, nonparametric and mixed models, tables, figures, checklist
APA Publication Manual 7th ed. (name); APA JARS-Quant (name); ASA Statement on P-Values (Wasserstein and Lazar 2016)