Academy of Technical and
Art Applied Studies Belgrade

Measurement Uncertainty Course code: MENE | 6 ECTS credits

Basic information
Level of Studies: Undergraduate applied studies
Year of Study: 2
Semester: 3
Requirements: Achievement of the minimum of pre-exam requirements in the course Applied Geodesy 1
Goal: Systematic acquisition of theoretical and practical knowledge in statistics and probability theory (concept of probability), review of theoretical and sampling distributions, evaluation and statistical hypotheses, reducing measurement errors and determining uncertainty of measurement results.
Outcome: Students gain practical knowledge of processing procedures, uncertainty and reliability of the measurement results (Cadaster 2014. References).
Contents of the course
Theoretical instruction:
  1. Measurement conditions, measurement errors, errors and measurement conditions, conditions of repeatability, accuracy, precision, regularity, basic set and sample, statistical distribution, mean, median, mode, variance, standard deviation, standard deviation of mean, asymmetry and excess, statistical 2D distribution.
  2. Concept of probability, parameters of a basic set, uniform and normal distribution, sampling distributions and review of sampling distributions.
  3. Point estimation, method of the least squares, robust methods. Intervalestimates for mean and standard deviation.
  4. Statistical hypotheses, errors in statistical test, procedure of hypotheses testing procedure. Comparison of standard deviations: one and two series of measurement. Comparison of means. Gross error detection.
  5. Classification of component errors, systematic errors. Diminution of errors until the beginning of measurement, during measurement and after the measurement is performed. Limits of systematic errors of a corrected mean.
  6. Measurement uncertainty, definitions, measurement equation, estimates of the dimension Xi and Y, evaluation of standard uncertainty xi, combined standard uncertainty, width of uncertainty, uncertainty report.
Practical instruction (Problem solving sessions/Lab work/Practical training):
Textbooks and References
Number of active classes (weekly)
Lectures: 3
Practical classes: 2
Other types of classes: 0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
10
activities on practial excersises
50
seminary work
0
colloquium
0
Final exam
Points
Written exam
40
Oral exam
0