MATHEMATICS, PHYSICS AND RADIOPROTECTION - Mathematics
No prerequisite
In class participation and final project: written elaboration and oral presentation.
The student will be able to describe and plot univariate and bivariate data using the most appropriate tools depending on the nature of the data. The student will be able to critically comment the obtained results. He/she will also be able to estimate a regression line and perform a hypothesis test on the coefficients. The student will familiarize with the R freeware statistical software.
Measures of position, variability and correlation: how to compute and interpret them . Graphical representations and frequency tables, both univariate and bivariate. Regression line and testing of hypotheses on coefficients.
Concept of random variable.
Type of variables: qualitative and quantitative. Measures of position: mean, mode, median. Definition, use and interpretation.
Measures of variability: variance, standard deviation, range, coefficient of variation. Correlation measures: covariance and linear correlation coefficient.
Distribution of absolute, relative and percentage frequencies. Contingency tables: joint, marginal and conditional frequencies.
Graphical representations: box-plot, histogram, distribution function, scatter-plot.
Regression line: estimate of the coefficients by ordinary least squares method. Gaussian distribution and standardisation. Hypothesis testing on the linear regression coefficients. P-value: computation and interpretation.
Contact lectures including lab sessions.