Python Statistics Projects

This repository contains three statistical analysis projects. Each project demonstrates proficiency in statistical modelling, data visualisation, and Python programming.

📊 Projects Overview

1. Analysis of Regional Property Price Trends

File: Analysis of Regional Property Price Trends.ipynb

An analysis of regional property price changes in England between July 2017 and July 2018.

Key Features:

• Statistical analysis of flat price changes across 9 English regions
• Chi-square test and permutation test for independence testing
• Custom visualisations including dot plots and regional bar charts
• G-statistic calculation for hypothesis testing

Technologies: pandas, numpy, matplotlib, scipy

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2. Demographic Analysis of UK Population Using 2021 Census Data

File: Demographic Analysis of UK Population Using 2021 Census Data.ipynb

A demographic analysis leveraging the 2021 UK Census data to explore population characteristics and trends.

Key Features:

• Analysis of census data at LSOA (Lower Layer Super Output Area) level
• Demographic trend identification and visualisation
• Spatial data analysis using geographic datasets

Technologies: pandas, numpy, matplotlib, geopandas

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3. Statistical Analysis of Texas Bridges Using Regression Modelling

File: Statistical Analysis of Texas Bridges Using Regression Modelling.ipynb

A statistical investigation of Texas bridge infrastructure using regression modelling techniques to understand factors affecting bridge conditions.

Key Features:

• Regression analysis of bridge infrastructure data
• Model building and validation
• Statistical inference and interpretation

Technologies: pandas, numpy, matplotlib, scipy, statsmodels

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📁 Repository Structure

Python Stats Projects/
├── README.md
├── data/
│   ├── average_flat_prices.csv
│   ├── LSOA_data.csv
│   ├── LSOA_England_geom.gpkg
│   └── tx19_bridges_sample.csv
├── notebooks/
│   ├── Analysis of Regional Property Price Trends.ipynb
│   ├── Demographic Analysis of UK Population Using 2021 Census Data.ipynb
│   └── Statistical Analysis of Texas Bridges Using Regression Modelling.ipynb
└── html_exports/
    ├── Analysis_of_Regional_Property_Price_Trends.html
    ├── Demographic_Analysis_of_UK_Population_Using_2021_Census_Data.html
    └── Statistical_Analysis_of_Texas_Bridges_Using_Regression_Modelling.html

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🚀 Getting Started

Prerequisites

• Python 3.8 or higher
• Jupyter Notebook or JupyterLab

Required Packages

Install the required packages using pip:

pip install pandas numpy matplotlib scipy geopandas statsmodels

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📈 Key Statistical Methods Used

• Hypothesis Testing: Chi-square tests, permutation tests
• Regression Analysis: Linear and multiple regression modelling
• Descriptive Statistics: Central tendency, dispersion, distribution analysis
• Data Visualisation: Custom plots using matplotlib
• Spatial Analysis: Geographic data manipulation and visualisation

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🙏 Acknowledgments

• UK Ministry of Housing, Communities & Local Government for property price data
• Office for National Statistics for 2021 Census data
• Texas Department of Transportation for bridge infrastructure data