Quantitative Analysis with Small Samples: A Practical Guide for Students and Early-Career Researchers

A published open textbook on rigorous quantitative analysis for small samples, covering exact tests, resampling, nonparametric methods, Bayesian regression, and five worked R projects. Free to read online. DOI: 10.5281/zenodo.20221929
Published — v0.1.0

Small Sample Lab

A published open textbook on rigorous quantitative analysis when sample sizes are small. Written for students, early-career researchers, and analysts across education, health, business, and resource-constrained settings. Free to read online under CC BY 4.0.

DOI: 10.5281/zenodo.20221929   CC BY 4.0

Publication Details

Published: 16 May 2026

Version: v0.1.0
Zenodo DOI: 10.5281/zenodo.20221929
Licence: CC BY 4.0
18 chapters · 5 worked R projects

Positioning

In a big-data and machine-learning era, many real studies still operate with small samples, limited recruitment, pilot data, or constrained field settings. That is exactly where bad method choices become expensive. Small Sample Lab is positioned for readers who need methods that are careful, teachable, and realistic when n is modest by necessity.

Who It Is For

Small Sample Lab is being developed for:

  • students, taught masters learners, and early-career PhD researchers
  • users in education, health, business, and social-science settings
  • analysts and practitioners working with samples of roughly 10 to 100 cases
  • readers who need method guidance that is statistically careful and operationally realistic

What The Core Project Already Contains

Generated Datasets

The source project already includes scripts that generate working datasets for realistic examples, so the line is not starting from a blank outline.

Helper Functions

Reusable R helpers already exist for exact tests, bootstrap intervals, Wilcoxon procedures, and Firth logistic regression.

Guided Labs

The planned lab sequence already covers Fisher's exact test, bootstrap confidence intervals, rank tests, reliability analysis, power planning, imputation, and data screening.

Worked Projects

The source outline already includes integrated projects such as campaign evaluation, short-scale reliability assessment, and paired intervention evaluation.

Beyond The Book

Small Sample Lab is being developed as more than a single manuscript. The underlying project already supports a broader methods line built around guided application, teaching use, and careful workflow support for limited-data studies.

Guided Labs

Step-by-step practicals help readers move from explanation to implementation rather than stopping at theory.

Applied Examples

Worked projects and synthetic datasets give the methods line concrete business, education, and research settings.

Teaching Resources

The project design already anticipates lab practicals, instructor-facing support, and teaching-oriented companion material.

Methods Review Support

Small-sample workflows also connect naturally to project-specific review and interpretation support where limited data make method choice critical.

What The Line Covers

The methods range already anchored in the source project includes:

  • exact tests and resampling methods
  • nonparametric rank-based procedures
  • penalized and Bayesian regression for limited data
  • reliability and measurement-quality checks for short scales
  • multi-criteria decision-making in small-case settings
  • effect sizes, confidence intervals, and transparent interpretation

This range matters because small studies should not be treated as a compromise case by default. With the right methods and clear reporting, they can still be analysed carefully and interpreted honestly.

Cite This Book

Sharafuddin, M. A., Jaleel, A. A., & Madhavan, M. (2026). Quantitative Analysis with Small Samples: A Practical Guide for Students and Early-Career Researchers (v0.1.0). Zenodo. https://doi.org/10.5281/zenodo.20221929

Access the Book

Web Edition

Full interactive book with live R code cells and chapter quizzes.

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PDF

Print-formatted PDF for offline reading and citation.

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DOCX

Editable Word document for accessibility and adaptation.

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Companion Resources

Lab practicals, instructor manual, Moodle pack, and slide decks available separately.

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