quantitative-methods
Design and execute statistical analyses including regression modeling, hypothesis testing, power analysis, and robustness checks using R, Stata, SPSS, or Python
Design and execute statistical analyses including regression modeling, hypothesis testing, power analysis, and robustness checks using R, Stata, SPSS, or Python
Conduct systematic qualitative data analysis using grounded theory, thematic analysis, and content analysis with NVivo or Atlas.ti
Apply propensity score methods, instrumental variables, difference-in-differences, and regression discontinuity designs for causal identification
Collect, calculate, and report healthcare quality metrics including core measures, HEDIS, patient safety indicators, and value-based purchasing measures
Write measurable, SMART learning objectives using Bloom's Taxonomy cognitive levels aligned with desired outcomes and assessment strategies
Analyze learner data from LMS reports, assessments, and engagement metrics to identify patterns and inform instructional decisions
Identify gaps, overlaps, and misalignments in curriculum coverage through systematic comparison with standards and learning progressions
Skill for formatting statistical results according to reporting standards
Skill for statistical power analysis and sample size calculation
Skill for building interactive data dashboards
Automated hypothesis generation using abductive reasoning and knowledge graph traversal
Symbolic computation using SymPy for Python-based mathematical analysis
Statistical power analysis and sample size determination
Function interpolation and approximation methods
Combinatorial object generation and counting
Solve recurrence relations using multiple methods including Master Theorem and generating functions
R 4.4+ development specialist covering tidyverse, ggplot2, Shiny, and data science patterns. Use when developing data analysis pipelines, visualizations, or Shiny applications.
Statistical test selection decision tree, per-test assumptions/formulas/interpretation guide, effect size, and power analysis. Use this skill for statistical analysis method selection involving 'statistical test', 't-test', 'ANOVA', 'chi-squared', 'correlation analysis', 'p-value', 'hypothesis testing', 'normality test', 'nonparametric test', 'effect size', etc. Enhances the analyst's statistical analysis capabilities. Note: data cleaning and visualization are outside this skill's scope.
Visualization type selection matrix by data type and analysis purpose, matplotlib/seaborn/plotly implementation pattern guide. Use this skill for data visualization design involving 'visualization selection', 'chart type', 'graph types', 'matplotlib', 'seaborn', 'plotly', 'heatmap', 'scatter plot', 'box plot', 'dashboard layout', etc. Enhances the visualizer's visualization design capabilities. Note: statistical analysis and data cleaning are outside this skill's scope.
๋ฐ์ดํฐ ๋ถ์ ํ๋ก์ ํธ์ ํ์์ ๋ถ์(EDA), ๋ฐ์ดํฐ ์ ์ , ํต๊ณ ๋ถ์, ์๊ฐํ, ๋ณด๊ณ ์ ์์ฑ์ ์์ด์ ํธ ํ์ด ํ์ ํ์ฌ ํ ๋ฒ์ ์ํํ๋ ํ ๋ถ์ ํ์ดํ๋ผ์ธ. '๋ฐ์ดํฐ ๋ถ์ํด์ค', 'EDA ํด์ค', 'ํ์์ ๋ถ์', 'ํต๊ณ ๋ถ์', '๋ฐ์ดํฐ ์๊ฐํ', '๋ถ์ ๋ณด๊ณ ์ ์จ์ค', 'CSV ๋ถ์', '๋ฐ์ดํฐ ์ธ์ฌ์ดํธ ๋ฝ์์ค', '๋ฐ์ดํฐ ์ ์ ', '์ด์์น ๋ถ์' ๋ฑ ๋ฐ์ดํฐ ๋ถ์ ์ ๋ฐ์ ์ด ์คํฌ์ ์ฌ์ฉํ๋ค. ๋จ, ์ค์๊ฐ ๋ฐ์ดํฐ ์คํธ๋ฆฌ๋ฐ, ML ๋ชจ๋ธ ํ์ต/๋ฐฐํฌ, BI ๋์๋ณด๋ ์๋ฒ ๊ตฌ์ถ์ ์ด ์คํฌ์ ๋ฒ์๊ฐ ์๋๋ค.
ํต๊ณ ๊ฒ์ ์ ํ ์์ฌ๊ฒฐ์ ํธ๋ฆฌ, ๊ฒ์ ๋ณ ๊ฐ์ /๊ณต์/ํด์ ๊ฐ์ด๋, ํจ๊ณผ ํฌ๊ธฐ์ ๊ฒ์ ๋ ฅ ๋ถ์. 'ํต๊ณ ๊ฒ์ ', 't-๊ฒ์ ', 'ANOVA', '์นด์ด์ ๊ณฑ', '์๊ด๋ถ์', 'p-value', '๊ฐ์ค ๊ฒ์ ', '์ ๊ท์ฑ ๊ฒ์ ', '๋น๋ชจ์ ๊ฒ์ ', 'ํจ๊ณผ ํฌ๊ธฐ' ๋ฑ ํต๊ณ ๋ถ์ ๋ฐฉ๋ฒ ์ ํ ์ ์ด ์คํฌ์ ์ฌ์ฉํ๋ค. analyst์ ํต๊ณ ๋ถ์ ์ญ๋์ ๊ฐํํ๋ค. ๋จ, ๋ฐ์ดํฐ ์ ์ ๋ ์๊ฐํ๋ ์ด ์คํฌ์ ๋ฒ์๊ฐ ์๋๋ค.
๋ฐ์ดํฐ ์ ํ๊ณผ ๋ถ์ ๋ชฉ์ ์ ๋ฐ๋ฅธ ์๊ฐํ ์ ํ ์ ํ ๋งคํธ๋ฆญ์ค, matplotlib/seaborn/plotly ๊ตฌํ ํจํด ๊ฐ์ด๋. '์๊ฐํ ์ ํ', '์ฐจํธ ์ ํ', '๊ทธ๋ํ ์ข ๋ฅ', 'matplotlib', 'seaborn', 'plotly', 'ํํธ๋งต', '์ฐ์ ๋', '๋ฐ์คํ๋กฏ', '๋์๋ณด๋ ๋ ์ด์์' ๋ฑ ๋ฐ์ดํฐ ์๊ฐํ ์ค๊ณ ์ ์ด ์คํฌ์ ์ฌ์ฉํ๋ค. visualizer์ ์๊ฐํ ์ค๊ณ ์ญ๋์ ๊ฐํํ๋ค. ๋จ, ํต๊ณ ๋ถ์์ด๋ ๋ฐ์ดํฐ ์ ์ ๋ ์ด ์คํฌ์ ๋ฒ์๊ฐ ์๋๋ค.
๋ด๋ถ๊ฐ์ฌ ๋ณด๊ณ ์ ์์ฑ ํ์ดํ๋ผ์ธ. ๊ฐ์ฌ ๋ฒ์ ์ค์ ๋ถํฐ ์ฒดํฌ๋ฆฌ์คํธ, ๋ฐ๊ฒฌ์ฌํญ, ๊ฐ์ ๊ถ๊ณ , ์ถ์ ๋์ฅ๊น์ง ์์ด์ ํธ ํ์ด ํ์ ์์ฑํ๋ค. '๊ฐ์ฌ ๋ณด๊ณ ์ ์์ฑํด์ค', '๋ด๋ถ๊ฐ์ฌ ์ค๋น', '๊ฐ์ฌ ์ฒดํฌ๋ฆฌ์คํธ ๋ง๋ค์ด์ค', '๊ฐ์ฌ ๋ฐ๊ฒฌ์ฌํญ ์ ๋ฆฌ', '์์ ์กฐ์น ๊ณํ', '๊ฐ์ฌ ์ถ์ ๋์ฅ', '์ปดํ๋ผ์ด์ธ์ค ๊ฐ์ฌ', '์ด์ ๊ฐ์ฌ ๋ณด๊ณ ์' ๋ฑ ๋ด๋ถ๊ฐ์ฌ ์ ๋ฐ์ ์ด ์คํฌ์ ์ฌ์ฉํ๋ค. ์ธ๋ถ ํ๊ณ๊ฐ์ฌ, ์ธ๋ฌด์กฐ์ฌ, ๋ฒ์ ์์ก ๊ด๋ จ ๊ฐ์ฌ๋ ์ด ์คํฌ์ ๋ฒ์๊ฐ ์๋๋ค.