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Statistics lab 1

Code: 92938
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Miljenko Huzak - Lectures
Lecturers: prof. dr. sc. Miljenko Huzak - Seminar

Tomislav Kralj - Exercises
Petra Lazić, mag. math. - Exercises
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 15
Exercises 45
Seminar 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: To develop skills in applications of numerical and statistical methods in mathematical modeling; to understand and to interpret correctly statistical data and analyses and to develop skills in using statistical and numerical software.


COURSE DESCRIPTION AND SYLLABUS:
1. Simulations of discrete and continuous random variables and vectors values
2. Parametric model selection and fitting. Goodness of fit tests. Point and interval estimation of parameters.
3. Testing statistical hypotheses. Checking assumptions for applicability of various tests.
4. Kolmogorov - Smirnov test.
5. 2 - test.
6. Power of 2 - test.
7. Estimation of distribution and parameters using Monte Carlo methods.
8. Comparison of two populations.
9. Comparison of more then two populations. (one way and two ways analysis of variance, testing homogeneity of discrete distributions).
10. Bivariate distributions. Testing independencies (of discrete variables). Correlation. Testing correlations (parametric and nonparametric tests).
11. Regression analysis (estimation and selection of the linear regression model, testing hypotheses about model parameters).
12. Regression analysis: transformation of parameters.
13. Simulations of Markov processes


T
Literature:
  1. Ž. Pauše: Uvod u matematičku statistiku
  2. G. K. Bhattacharyya, R. A. Johnson: Statistical Concepts and Methods
  3. A. Sen, M. Srivastava: Regression analysis: Theory, Methods, and Applications
  4. G. S. Fishman: Monte Carlo: Concepts, Algorithms, and Applications
  5. H. Daly et al: Elements of Statistics
1. semester
Mandatory course - Mandatory studij - Mathematical Statistics
Consultations schedule:

Content

Link to the course web page: https://web.math.pmf.unizg.hr/nastava/statpr/