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https://github.com/exios66/cronbach-alpha

RUST - Psychometrics
https://github.com/exios66/cronbach-alpha

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RUST - Psychometrics

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# Cronbach-Alpha

RUST - Psychometrics
I'll help you create a comprehensive README.md file for your Cronbach-Alpha project. Here's a detailed version:

## Overview

Cronbach's Alpha is one of the most widely used measures of reliability in psychometric assessment and research. This implementation provides a robust and efficient way to calculate the coefficient using Rust's performance capabilities.

## Features

- Fast and efficient Cronbach's Alpha calculation
- Support for multiple data formats
- Handles missing values
- Statistical validation checks
- Clear error handling and reporting

## Installation

Add this to your `Cargo.toml`:

```toml
[dependencies]
cronbach-alpha = "0.1.0"
```

## Usage

```rust
use cronbach_alpha::calculate_alpha;

fn main() {
// Example data matrix (items x participants)
let data = vec![
vec![5, 4, 3, 2],
vec![4, 3, 2, 1],
vec![5, 4, 3, 2],
];

match calculate_alpha(&data) {
Ok(alpha) => println!("Cronbach's Alpha: {:.3}", alpha),
Err(e) => eprintln!("Error: {}", e),
}
}
```

## Mathematical Background

Cronbach's Alpha (α) is calculated using the formula:

α = (k / (k-1)) * (1 - Σσᵢ² / σₜ²)

Where:

- k is the number of items
- σᵢ² is the variance of each item
- σₜ² is the variance of the total score

## Requirements

- Rust 1.56.0 or higher
- Standard statistical libraries

## Contributing

Contributions are welcome! Please feel free to submit a Pull Request. For major changes, please open an issue first to discuss what you would like to change.

1. Fork the Project
2. Create your Feature Branch (`git checkout -b feature/AmazingFeature`)
3. Commit your Changes (`git commit -m 'Add some AmazingFeature'`)
4. Push to the Branch (`git push origin feature/AmazingFeature`)
5. Open a Pull Request

## License

This project is licensed under the MIT License - see the [LICENSE](LICENSE) file for details.

## References

- Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297-334.
- Guidelines for reporting reliability and internal consistency statistics in psychological research

## Author

[Your Name]

## Acknowledgments

- The Rust community
- Contributors to psychometric research
- [Any other acknowledgments]