Lec 55: Statistical Tests and Mixed Methods

Lec 55: Statistical Tests and Mixed Methods

Humanities, Social Sciences & Thought Mathematics PBMathematicsPBTProbability and statistics
🎙 Prof. Sharmistha Banerjee 👥 229K 📅 September 17, 2026 ⏱ 32 min 👁 0 📄 tutorial 🧭 2026-09-17
Available in: English (current) Français

Keywords

Statistical testsEffect sizePower analysisMixed methodsSaturation

Summary

This lecture, part of the ‘User Research Methods’ course, focuses on choosing appropriate statistical tests based on study design, effect sizes, and statistical power. It begins with a decision tree that guides the selection between parametric and non-parametric tests based on comparison vs. association, paired vs. independent samples, number of groups, and outcome scale. The lecture emphasizes the importance of checking assumptions, recommending the Welch t-test by default and rank-based alternatives when assumptions are violated. It clarifies that p-values alone are insufficient, stressing the need to report effect sizes and confidence intervals to assess practical significance. Power analysis is introduced to determine sample sizes before data collection, with a rule of thumb of 64 participants per group for a medium effect. The second half addresses mixed methods research, explaining convergent, explanatory sequential, exploratory sequential, and embedded designs. It highlights that divergence between qualitative and quantitative findings should be investigated. Finally, qualitative rigor is discussed using saturation to justify sample size and Lincoln and Guba’s four criteria (credibility, transferability, dependability, confirmability) to establish trustworthiness. The lecture concludes with key takeaways for designing sound user research studies.

185 words

Critical Evaluation

Value of the Information & Strength of the Argument

The lecture provides high value by offering a practical, step-by-step decision path for selecting statistical tests, a topic often confusing for researchers. It effectively argues for integrating effect sizes and confidence intervals to move beyond dichotomous thinking about p-values, and makes a compelling case for mixed methods, showing how qualitative and quantitative strands complement each other. The argumentation is solid, grounded in established statistical conventions and well-known frameworks like Lincoln and Guba’s criteria. The emphasis on designing studies with adequate power and on honest reporting (e.g., not hiding failed tests) strengthens the overall credibility.

Scientific Rigor, Source Quality, Title Accuracy

The lecture demonstrates high scientific rigor by accurately presenting statistical concepts, including the central limit theorem, assumptions of parametric tests, and the rationale for non-parametric alternatives. It correctly warns against common pitfalls like multiple t-tests without correction and emphasizes the primacy of study design in ensuring valid results. The sources, though not explicitly cited in the talk, are implied through the course materials; the lecture aligns with standard textbooks and statistical practices. The title matches the content precisely, as both statistical tests and mixed methods are thoroughly covered. No external sources are referenced directly, but the content is consistent with academic standards.

211 words

Title / Content Match

The title accurately reflects the content, as the lecture covers both statistical test selection and the integration of mixed methods, with emphasis on effect sizes and power.

Quality & Reliability

9/10

The lecture is delivered by a professor at IIT Guwahati, an accredited and reputable institution. It provides accurate, well-structured content on statistical test selection, effect sizes, power analysis, and mixed methods, adhering to established scientific standards. The presentation is clear and methodical, with practical examples and appropriate caveats.

Key Moments

Cited Sources

Contribution & Novelties

This lecture provides a comprehensive, decision-oriented overview of statistical testing and mixed methods, synthesizing often fragmented knowledge into a coherent process. Its original value lies in the explicit pairing of statistical effect size and power analysis with qualitative trustworthiness criteria, offering a unified framework for user research. The lecturer’s emphasis on designing studies with adequate power and on treating divergence from mixed methods as a productive finding is particularly instructive.

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115 words

Radar Profile

The radar profile is balanced, with high scores in reliability and quality, reflecting the academic rigor and clear presentation. The technical level is moderate, indicating that the content is accessible to a broad audience while still covering advanced concepts. The overall profile suggests a trustworthy and informative lecture.

Reliability 9/10