Statistics
[ESPO2102]
[30h + 15h] 4 credits
This course is taught in the 1st semester.
Teacher(s): Dominique Deprins
Language: French
Level: Second
Aims
- to provide a rigorous, logical understanding of descriptive statistics and the statistical inference applicable in the field of economic and social sciences;
- to facilitate an intelligent operational use of these same methods (i.e. more specifically, an understanding of how to choose a tool that has been adapted to the problem and to available data, to be able to operate it correctly, and to be able to interpret the results and their limitations).
Content and teaching methods
2. The statistical table and the graphical representation of diagrams
2.1. Raw data
2.2. A graphical representation of the distribution of a qualitative character
2.3 A graphical representation of the distribution of a continuous, or implicitly continuous, character: the histogram and the cumulative curve
2.4. A graphical representation of the distribution of a discrete quantitative character
3. The parameters of the central tendency and of dispersal
3.1. The arithmetical average
3.2. Other position parameters (mode, median and quantiles)
3.3. Variation and standard deviation
3.4. Other parameters of dispersal (absolute mean deviation and interquartile range)
4. Basic mathematical models
4.1. Discrete random variables; the Bernoulli process (binominal distribution)
4.2. Continuing random variables; the Gauss-Laplace process (normal distribution)
5. Statistical inference
5.1. Sampling
5.2. Estimate of an average and a proportion
5.3. Confidence belts (averages and proportions)
5.4. A hypothesis test on an average and a proportion
5.5. Comparison of two averages and two proportions