Sampling Theory and Design of Experiments

The classical sample theory (for the final population) and methods of experiment planning, are taught as part of this course. The samples theory shows different ways of selection of samples, evaluation based on selected samples and the methods of analyzing the obtained data. When planning the experiments, the basic models of their planning are presented, and they are applied in order to reduce the experimental error.

Samples theory evaluates various characteristics of population on the basis of observing a part of that population without some of its changes, and while planning the experiments a part of population is influenced in order to assess the effects of that influence on the entire population. Samples theory and experiments planning have wide applications in various scientific disciplines.

Basic concepts of the theory of samples; Random sample; The sample with unequal probabilities; Stratified random sample; A systematic sample; Quotient of expectations; Regressive evaluation; Sample of groups; Multistage sample; Biphasic sample; Sampling error; Experiments planning and analysis of variance; Comparison of more treatments - a completely random plan; Models of random blocks; Models of Latin squares; Models of factorial plans type .

In lecture classes the theoretical elements of matter planned by this program are addressed in lectures, with illustration od examples, while the exercises include examples - tasks.

Colloquium I (0-20 points); Colloquium II (0-20 points); Final exam (0-50 points); Attendance (2point); Class activities (seminar papers, discussions, case studies) (0-8 points)

Petrović, Lj. (2000). Sampling theory and design of experiments. Belgrade: Faculty of Economics; Petrović, Lj. (2001). A collection of solved problems in the theory of patterns and planning experiments. Belgrade: Faculty of Economics.