Academy of Technical and
Art Applied Studies Belgrade

Fundamentals of Statistics Course code: 117062 | 5 ECTS credits

Basic information
Level of Studies: Undergraduate applied studies
Year of Study: 1
Semester: 1
Requirements:
Goal: Introducing students to the logic of statistical thinking, calculation and correct interpretation of basic statistical indicators, mastering basic statistical methods, assumptions, limitations of their application, interpretation of the obtained results, correct interpretation of the results of appropriate statistical software packages. Introducing students to the way of calculating relevant statistical data and indicators from different areas of economic life and presenting the positive and negative sides of the applied methods.
Outcome: The student will be able to understand that wherever the process of work, production, capital, labor, raw materials, materials and human resources, there is a need for their monitoring, and quantification, and to draw conclusions about the statistical set based on the selection of a representative sample . The student will know how to use domestic and international statistical data sources, apply appropriate methods for calculating statistical indicators and to correctly interpret the obtained results.
Contents of the course
Theoretical instruction:
  1. Introduction: notion, subject, history, areas, importance, applicastion.
  2. Descriptive statistics: grouping of data and date display, sample space, random sample, sample points, population parameters, simple random sample, statistical series and tables.
  3. Empirical distribution: frequency distribution and parameters of grouped data (mean, vsariance and skewness and kurtosis); distribution parameters: Mean of numerical sequence, arithmetic mean, geometric mean, harmonic mean, mediana, mode, dispersion, variance.
  4. Introduction to probability: Random experiments, random sample and sample space, event, probability of an event.
  5. Random variables and their probability distribution: Normal, Binomial, Uniform, Poisson, Sudent t, Fisher F, χ2.
  6. Sampling, sampling distribution: Distribution of parametres: mean and standard deviation.
  7. Statistical inference – Statistical estimates of population parameters: point and interval estimate.
  8. Test of hypotheses of: mean, proportion, variance analysis, test of nonparametric hypotheses using χ2-test.
  9. Simple linear correlation and variance analysis: simple linear regression (estimates of parameters, test of significance,interpolation and extrapolation), linear correlation coefficient and sampling theory of regression.
  10. Time series analysis.
  11. Modern statistical programs (relation between statistics and computer science; statistical softwers).
Practical instruction (Problem solving sessions/Lab work/Practical training):
  1. Exercises are focused on examples and tasks that clarify the areas of lectures. The preparation of a seminar paper will enable students to study the selected areas in more detail.
Textbooks and References
  1. Mann, S
  2. Jovanović, D., „Autorizovana predavanja i primeri sa vežbi“, VŽŠSS, Beograd
  3. Dragutinović Mitrović, R., Rajić, V., Bošković, O., „Zbirka zadataka iz Osnova statističke analize“, CID Ekonomski fakultet, Beograd, 2013.
Number of active classes (weekly)
Lectures: 2
Practical classes: 1
Other types of classes: 0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
0
activities on practial excersises
0
seminary work
0
colloquium
0
Final exam
Points
Written exam
0
Oral exam
0