{"slug":"k-dense-ai-statistical-power","source_name":"k-dense-ai/statistical-power","name":"K Dense AI/Statistical Power","description":"Sample-size and statistical power calculations for planning studies. Use whenever someone asks \"how many subjects/samples/replicates do I need\", wants an a priori power analysis, a minimum detectable effect (MDE), a power curve, or needs to justify a sample size for a grant, IRB protocol, or pre-registration. Covers closed-form power for t-tests, ANOVA, proportions, correlations, chi-square, and regression, plus simulation-based (Monte Carlo) power for designs with no formula — logistic/Poisson ","version":3,"lift":{"pass_rate_delta_pts":4.55,"pass_rate_pct":95.5,"total_cases":22,"passed_cases":21,"tokens_delta_pct":188.5,"turns_delta_pct":0,"verdict":"mixed","benchmark_model":"gemini-3.6-flash","grading_method":"judged","completed_at":"2026-09-08T23:52:11.697280+00:00"},"skill_score":0.9545,"benchmark_models":[{"model":"gemini-3.6-flash","headline":true,"delta_pts":4.55,"with_pass_pct":95.5,"without_pass_pct":90.9,"tokens_delta_pct":188.5,"turns_delta_pct":0,"total_cases":22,"cases_aggregated":21,"verdict":"mixed","never_hurt":false,"completed_at":"2026-09-08T23:52:11.697280+00:00","run_id":"8c62b94b-bbd5-480e-a473-58ff85e04432","latest_attempt":{"id":"8c62b94b-bbd5-480e-a473-58ff85e04432","runner_model":"gemini-3.6-flash","overall_verdict":"mixed","completed_at":"2026-09-08T23:52:11.697280+00:00","gate":null},"version_number":2,"is_latest_version":false,"gate":null}],"trust":{"skill_safety":"passed","safety_status":"clean","intent_verdict":"safe","content_status":"clean","indexable":true},"license":"MIT license","install_count":0,"total_uses":0,"total_users":0,"manifest_hash":"ff8a9b4f0057e7363fe6bdf1117980c3197613ee984205c48dee4f37a03a16ab","install_name":"k-dense-ai-statistical-power","version_id":"6109ad29-cd62-4b38-9a3f-872f0560dc5f","body_sha256":"ff8a9b4f0057e7363fe6bdf1117980c3197613ee984205c48dee4f37a03a16ab","render_hash":"c24268da432a363687bdaad17d9967f168d85a0724570a3c2aedd94808de92a5","raw_url":"https://app.decimal.ai/s/k-dense-ai-statistical-power/SKILL.md","scorecard_url":"https://app.decimal.ai/skills/k-dense-ai-statistical-power"}