statistical-analysis

1# Statistical Analysis
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3## Overview
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5Statistical analysis is a systematic process for testing hypotheses and quantifying relationships. Conduct hypothesis tests (t-test, ANOVA, chi-square), regression, correlation, and Bayesian analyses with assumption checks and APA reporting. Apply this skill for academic research.
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7## When to Use This Skill
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9This skill should be used when:
10- Conducting statistical hypothesis tests (t-tests, ANOVA, chi-square)
11- Performing regression or correlation analyses
12- Running Bayesian statistical analyses
13- Checking statistical assumptions and diagnostics
14- Calculating effect sizes and conducting power analyses
15- Reporting statistical results in APA format
16- Analyzing experimental or observational data for research
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20## Core Capabilities
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22### 1. Test Selection and Planning
23- Choose appropriate statistical tests based on research questions and data characteristics
24- Conduct a priori power analyses to determine required sample sizes
25- Plan analysis strategies including multiple comparison corrections
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27### 2. Assumption Checking
28- Automatically verify all relevant assumptions before running tests
29- Provide diagnostic visualizations (Q-Q plots, residual plots, box plots)
30- Recommend remedial actions when assumptions are violated
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32### 3. Statistical Testing
33- Hypothesis testing: t-tests, ANOVA, chi-square, non-parametric alternatives
34- Regression: linear, multiple, logistic, with diagnostics
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