151-0815/01 – Statistics A (Stat A)

To identify then problems that could be solved by statistical methods - To understand and describe the most efficient way of solving the problem - To obtain the knowledge how to do statistical survey i.e.how to collect the data – how to make random sample and how to arrange, classify and describe the data - To describe the information about random sample, calculate the basic desctiptive measures and to construct the graphs describing the distribution of the sample data - To understand the theoretical base of statistical methods the probability Theory, especially the noun of random variable - To distinguish and describe the basic types of random variable distributions - To understand and be able to use the basic methods of statistical inference - To use the knowlegde of sample mean and variance to formulate the test hypotheses about population mean and variance and make decisions - To undestand the principles and be able to find the point estimates and confidence intervals for the population mean and variance - To be able to make the decision using the previous knowledge and ability to solve the real problems

1. Statistics, Statistical Data – Classification, Collection, Data Sources, Population Versus Sample, Stem and Leaf Diagram 2. Data Presentation, Set of Values of One Variable - Range, Frequency Distribution, Cumulative, Relative, Relative Cumulative Frequencies and Its Graphs 3. Descriptive Measures for One Dimensional Statistical Set of Data, Exploratory Data Analysis 4. Algebra of Events, Concept of Probability 5. Probability Theory, Succession of Independent Events, Total Probability, Bayes´ Rule 6. Random Variable (Types of Random Variables, Distribution Function, Probability Function, Density Function) and Discrete Probability Distributions (Uniform, Binomial, Hypergeometric, Pascal´s, Poisson´s). 7. Continuous Probability Distributions (Uniform, Exponential, Normal,) Approximation of Binomial Distribution 8. Statistical Inference, Sampling Theory, Limit Theorem, Estimation Theory (Point Estimates, Interval Estimates) 9. Tests of Hypotheses, One Sample Parametric Tests for Mean and Variance 10. Bivariate Data and Correlation Analysis, Correlation Coefficient 11. Simple Linear Regression, Determination Coefficient 12. Time Series Analysis, Components, Combining the Components 13. Index Numbers, Price and Quantity Indexes

Anderson, D.R., Sweeney, D.J., Williams, T.A.: Statistics for Business and Economics. South-Western, 2011, ISBN 978-053-848164-9. Ross, S.M.: Introduction to Probability and Statistics for Engineers and Scientists. Academic Press/Elsevier, 2009, ISBN 9780123704832. Freund, R., Mohr, D., Wilson, W.: Statistical Methods, Elsevier, 2010. ISBN 978-012-374970-3.