statistical-hypothesis-testing
Conduct statistical tests including t-tests, chi-square, ANOVA, and p-value analysis for statistical significance, hypothesis validation, an
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About
Conduct statistical tests including t-tests, chi-square, ANOVA, and p-value analysis for statistical significance, hypothesis validation, and A/B testing
Details
- Kind
- Agent skills
- Topic
- Developer tools
- Publisher
- aj-geddes
- Origin
- majiayu
- Category
- ferramentas
- Stars
- 336
- Forks
- 55
- Open pull requests
- 1
- Last push
- 2026-03-04T08:20:59Z
- Repository state
- ativo
- Language
- Shell
- License
- MIT
- Added
- 2026-09-02 18:12:26
- Updated
- 2026-09-02 18:12:26
- Origin id
aj-geddes/useful-ai-prompts/skills/statistical-hypothesis-testing@main
README
# Useful AI Prompts - Production-Ready AI Prompt Library
[](https://smithery.ai/skills?ns=aj-geddes&utm_source=github&utm_medium=badge)
[](https://github.com/aj-geddes/useful-ai-prompts)
[](LICENSE)
[](prompts/)
[](skills/)
[](hooks/)
> **488 production-ready AI prompts, all following a standardized template with validated quality gates.**
Transform ChatGPT, Claude, and other AI assistants into expert consultants. Every prompt in this library passes 11 quality validation checks, ensuring consistent structure, clear deliverables, and measurable quality criteria.
---
## What's Inside
| Resource Type | Count | Description |
| --------------------------------- | ----- | --------------------------------------------------- |
| **[AI Prompts](prompts/)** | 488+ | Standardized expert prompts across 47 categories |
| **[Claude Code Skills](skills/)** | 260+ | Auto-triggering capabilities with code examples |
| **[Automation Hooks](hooks/)** | 7 | Security, testing, formatting, and CI/CD automation |
---
## Standardized Prompt Format
Every prompt follows the same validated structure:
```markdown
# [Prompt Name]
## Metadata
- **ID**: `category-prompt-slug`
- **Version**: 1.0.0
- **Category**: Primary category
- **Tags**: searchable, keywords, here
- **Complexity**: simple | intermediate | advanced
- **Interaction**: single-shot | conversational | iterative
- **Models**: Claude 3+, GPT-4+
## Overview
2-3 sentences explaining what the prompt does and who it's for.
## When to Use
- Specific scenario 1
- Specific scenario 2
**Don't use for**: Anti-patterns where this prompt isn't appropriate
---
## Prompt
<role>Expert identity with specific credentials and experience</role>
<context>Situation, success criteria, and key assumptions</context>
<input_handling>
Required: Must-have inputs
Optional: Inferred defaults when not provided
</input_handling>
<task>
Clear steps (3-7) for what to accomplish
</task>
<output_specification>
Format, length, and structure requirements
</output_specification>
<quality_criteria>
Measurable standards for excellent output
</quality_criteria>
<constraints>
Hard boundaries and limitations
</constraints>
---
## Example Usage
### Input
Realistic user request (20-200 words)
### Output
Representative response demonstrating quality (100-600 words)
## Related Prompts
Links to complementary prompts
```
---
## XML Tag Structure
The prompt section uses semantic XML tags for consistent parsing:
| Tag | Purpose | Content |
| ------------------------ | ------------------- | ---------------------------------------------------- |
| `<role>` | Expert identity | Specific credentials, experience, reasoning approach |
| `<context>` | Situation framing | When used, success criteria, key assumptions |
| `<input_handling>` | Input specification | Required vs optional inputs with defaults |
| `<task>` | Process steps | 3-7 numbered action steps |
| `<output_specification>` | Deliverable format | Format, length, structure, must-include elements |
| `<quality_criteria>` | Success measures | Objective standards and anti-patterns |
| `<constraints>` | Hard boundaries | Non-negotiable limits on scope/format |
---
## Quality Gates
Every prompt passes these 11 validation checks:
| Gate | Requirement |
| --------------------- | ------------------------------------------------------------------------------------------ |
| `metadata_complete` | All required fields present (ID, Version, Category, Tags, Complexity, Interaction, Models) |
| `overview_concise` | 3 sentences or fewer, no marketing fluff |
| `role_specific` | Concrete expertise defined, not "I'll help you" |
| `inputs_categorized` | Required vs optional distinguished with defaults |
| `task_structured` | 3-7 clear numbered steps |
| `outputs_specified` | Format + length + requirements for each deliverable |
| `criteria_measurable` | Objective quality standards, not vague aspirations |
| `example_realistic` | Input shows real usage (20-200 words) |
| `example_concise` | Output demonstrates pattern (100-600 words) |
| `no_duplication` | No repeated information across sections |
| `copy_paste_ready` | Prompt section is standalone and clearly delimited |
---
## Quick Start
### Using Prompts
1. **Browse** the [prompts directory](prompts/) or [web interface](https://aj-geddes.github.io/useful-ai-prompts/)
2. **Copy** the content within the `## Prompt` section (including XML tags)
3. **Paste** into ChatGPT, Claude, or your preferred AI assistant
4. **Provide** your specific input - the prompt handles the rest
### Example: Competitive Analysis
```text
<role>
You are a competitive intelligence strategist with 12+ years of experience
in market analysis, having led competitive strategy for both startups and
Fortune 500 companies.
</role>
<context>
Businesses need competitive intelligence to make informed strategic decisions.
Success means identifying specific opportunities that inform immediate action.
</context>
<input_handling>
Required: Industry, top competitors, current market position
Infer if not provided: Geographic scope, analysis timeline
</input_handling>
<task>
1. Map competitive landscape with positioning matrix
2. Profile key competitors (strengths, weaknesses, strategies)
3. Identify competitive gaps and white space opportunities
4. Create action recommendations with timelines
</task>
<output_specification>
- Format: Strategic analysis with visual frameworks
- Length: 500-800 words
- Must include: Positioning map, competitor profiles, action plan
</output_specification>
```
---
## Prompt Categories
### Business & Strategy
| Category | Prompts | Key Use Cases |
| ------------------------------------------------- | ------- | --------------------------------------------- |
| [Business Analysis](prompts/business/) | 45+ | Requirements engineering, process improvement |
| [Finance](prompts/finance/) | 30+ | Financial modeling, investment analysis |
| [Marketing](prompts/business/marketing/) | 25+ | Campaign strategy, brand development |
| [Operations](prompts/operations/) | 35+ | Process optimization, supply chain |
| [Project Management](prompts/project-management/) | 40+ | Risk assessment, agile methodologies |
### Technology & Engineering
| Category | Prompts | Key Use Cases |
| ----------------------------------------------- | ------- | --------------------------------------- |
| [Software Engineering](prompts/technical/) | 50+ | Architecture design, code review |
| [DevOps](prompts/technical/devops/) | 25+ | CI/CD pipelines, infrastructure as code |
| [Security](prompts/security/) | 20+ | Threat modeling, incident response |
| [Data Science](prompts/technical/data-science/) | 30+ | ML development, data analysis |
### Emerging Technologies
| Category | Prompts | Key Use Cases |
| ------------------------------------------------- | ------- | ------------------------------------------- |
| [Quantum Computing](prompts/quantum-computing/) | 14 | Algorithm development, circuit optimization |
| [Blockchain & Web3](prompts/blockchain/) | 15 | Smart contracts, DeFi protocols |
| [Biotechnology](prompts/biotechnology/) | 15 | Drug discovery, bioinformatics |
| [Space Economy](prompts/space-economy/) | 24 | Satellite operations, mission planning |
| [Renewable Energy](prompts/renewable-energy/) | 19 | Solar development, grid integration |
| [Healthcare Digital](prompts/healthcare-digital/) | 20 | Telehealth, AI diagnostics |
### Creative & Communication
| Category | Prompts | Key Use Cases |
| ------------------------------------------------------- | ------- | ------------------------------------ |
| [Creative](prompts/creative/) | 25+ | Graphic design, UX research |
| [Communication](prompts/communication/) | 30+ | Presentations, technical writing |
| [Learning & Development](prompts/learning-development/) | 20+ | Curriculum design, training programs |
---
## Claude Code Skills (260+)
Skills auto-trigger when Claude Code detects relevant keywords:
| Domain | Skills | Examples |
| --------------------------- | ------ | ---------------------------------------------- |
| **Software Development** | 35 | refactor-legacy-code, code-review-analysis |
| **DevOps & Infrastructure** | 20 | docker-containerization, kubernetes-deployment |
| **Testing & QA** | 15 | unit-testing-framework, e2e-testing |
| **Security** | 15 | vulnerability-scanning, oauth-implementation |
| **API & Integration** | 12 | rest-api-design, graphql-implementation |
| **Database** | 12 | sql-optimization, schema-design |
See [SKILLS-MATRIX.md](SKILLS-MATRIX.md) for the complete reference.
---
## Automation Hooks (7)
| Hook | Trigger | Purpose |
| ----------------------------------------------- | ------------- | ------------------------------------ |
| [security-scan](hooks/security-scan/) | Pre-commit | Scan for vulnerabilities and secrets |
| [pre-commit-linting](hooks/pre-commit-linting/) | Pre-commit | Code formatting enforcement |
| [test-runner](hooks/test-runner/) | Pre-commit | Automated test execution |
| [dependency-check](hooks/dependency-check/) | Pre-commit | Dependency vulnerability audit |
| [auto-format](hooks/auto-format/) | Post-save | Automatic code formatting |
| [session-setup](hooks/session-setup/) | Session start | Environment initialization |
See [HOOKS-LIBRARY.md](HOOKS-LIBRARY.md) for installation and configuration.
---
## Repository Structure
```
useful-ai-prompts/
├── prompts/ # 488+ standardized prompts by category
│ ├── analysis/ # Competitive, data, financial analysis
│ ├── technical/ # Software, DevOps, security, data science
│ ├── business/ # Finance, marketing, operations
│ ├── blockchain/ # Web3, DeFi, smart contracts
│ ├── quantum-computing/ # Quantum algorithms, circuits
│ └── ... # 47 total categories
├── skills/ # 260+ Claude Code skills
├── hooks/ # 7 automation hooks
├── docs/ # Jekyll website (GitHub Pages)
├── .claude/skills/ # Prompt refactoring skill
│ └── prompt-refactor/ # Template spec and validation
├── PROMPT-INDEX.json # Machine-readable prompt catalog
├── SKILLS-MATRIX.md # Complete skills reference
└── HOOKS-LIBRARY.md # Hooks documentation
```
---
## Integration
### For AI Agents
```python
import json
# Load prompt index
with open('PROMPT-INDEX.json') as f:
prompts = json.load(f)
# Select by category
analysis_prompts = [p for p in prompts if p['category'] == 'analysis']
```
See [AI-AGENT-GUIDE.md](AI-AGENT-GUIDE.md) for task classification and API integration patterns.
### For Human Users
See [README-HUMANS.md](README-HUMANS.md) for getting started, customization tips, and real-world examples.
---
## Web Interface
Browse prompts with search and filtering at:
**[https://aj-geddes.github.io/useful-ai-prompts/](https://aj-geddes.github.io/useful-ai-prompts/)**
Features:
- Category-based navigation
- Full-text search
- Responsive design
- Direct copy-to-clipboard
---
## Contributing
We welcome contributions! All new prompts must:
1. Follow the standardized template structure
2. Pass all 11 quality gates
3. Include realistic example usage
Use the prompt-refactor skill for validation:
```bash
./.claude/skills/prompt-refactor/scripts/validate-prompt.sh ./prompts/my-prompt.md
```
See [CONTRIBUTING.md](CONTRIBUTING.md) for complete guidelines.
---
## License
MIT License - see [LICENSE](LICENSE) for details.
---
## Links
- **Website**: [https://aj-geddes.github.io/useful-ai-prompts/](https://aj-geddes.github.io/useful-ai-prompts/)
- **GitHub**: [https://github.com/aj-geddes/useful-ai-prompts](https://github.com/aj-geddes/useful-ai-prompts)
- **Issues**: [Report bugs or request features](https://github.com/aj-geddes/useful-ai-prompts/issues)
- **Discussions**: [Community Q&A](https://github.com/aj-geddes/useful-ai-prompts/discussions)
---
**Keywords**: AI prompts, ChatGPT prompts, Claude prompts, prompt engineering, standardized prompts, AI productivity, Claude Code skills, prompt library, LLM prompts, professional AI tools