Back to Projects
Statistical Analysis

Statistical Hypothesis Testing Framework

A rigorous statistical analysis framework demonstrating the application of parametric and non-parametric hypothesis tests to real organisational data, with particular focus on the critical distinction between correlation and causation.

Type
Statistical Analysis
Domain
Organisational Data
Methods
Parametric & Non-Parametric
Status
Completed

The Challenge

Organisations routinely misinterpret data by conflating correlation with causation, leading to flawed strategic decisions. A marketing team might attribute a sales increase to a recent campaign when seasonal effects or external factors were the actual drivers.

Without rigorous statistical validation, data-driven decisions are built on sand. Hypothesis testing provides the framework to distinguish genuine effects from noise, correlation from causation, and significant findings from statistical artefacts.

Approach

01
Problem Framing
Defined clear null and alternative hypotheses for each organisational data scenario, ensuring the statistical questions were well-specified before any analysis began.
02
Test Selection
Selected appropriate statistical tests based on data characteristics: normality, sample size, variance homogeneity, and measurement scale. Applied both parametric (t-tests, ANOVA) and non-parametric alternatives (Mann-Whitney, Kruskal-Wallis).
03
Analysis and Interpretation
Executed tests with proper significance levels, effect size calculations, and power analysis. Interpreted results in context, distinguishing statistical significance from practical significance.
04
Reporting
Produced clear, accessible reports translating statistical findings into business language, with explicit discussion of limitations and the correlation-causation distinction.
HYPOTHESIS TESTING
p < 0.05
Hâ‚€

Results

Rigorous
Proper test selection and assumption checking
Practical
Business-language interpretation of results
Honest
Clear correlation vs causation distinction

The framework demonstrated that many commonly held assumptions within the organisational data did not survive rigorous statistical scrutiny. Several apparent relationships proved to be correlational rather than causal, and effect sizes for genuine findings were often smaller than intuition suggested, highlighting the value of formal hypothesis testing over informal pattern recognition.

Technology Stack

Python SciPy Statsmodels Pandas Matplotlib Seaborn
Interested in this work or something similar?