Statistical Inference

Télécom Saint-Etienne
2nd year, Data Engineering Apprenticeship Engineer
30 hours
License CC BY-NC-SA 4.0 - Jordan Frécon-Deloire - 2022

This course aims to estimate and draw conclusions about the characteristics of one or multiple populations based on samples. It introduces students to the design, implementation (using Python), and interpretation of various statistical tests to provide a foundation for selecting data analysis models.

Prerequisites

It is necessary to have prior knowledge in Probability. Therefore, it is advisable to have a solid understanding of the following:

• Elementary Probability concepts (expectation, variance, conditional expectation, etc.).
• Probability distributions (random variables and common distributions, e.g., normal, Bernoulli, etc.).
• Convergence of distributions (law of large numbers, central limit theorem, etc.).
• Descriptive and mathematical statistics (frequency distribution, probability distribution, probability density function, cumulative distribution function, etc.).

Educational Goals

This course is designed to provide a quick introduction to statistical inference for data engineers. As such, it meets different educational objectives:

• Understand the principles of statistical inference.
• Choose and apply statistical tests to real data.
• Interpret the result of a statistical test.
• Evaluate the reliability of a statistical test.
• Use Python to design a test.

Course Program

The course is divided in multiple parts of varying length (each symbol approximately corresponds to 1.5 hour)

Course Materials

License