Regression Analysis of Two Data Set Pairs in Hydrogeologic Research
2009
Oļģerts Aleksāns

The basic concept in scientific method of hydrogeologic research is an empirical proof that is based on evidence from the data obtained in experiments and observations. Conclusions based on empirical observations help to explain the processes happening during the research as well as to make prognosis about such processes in similar objects elsewhere. Also, a numerical experiment, which unlike empirical observations does not have shortcomings of data fragmentation, observation quantity limitations, time and performance limits, as well as repetition imperfections, is applied in order to test the working hypothesis and solve practical problems. The algorithm used in numerical analysis is described by flowchart: object or phenomenon of the research (physical model) -> numerical algorithm (mathematic model) -> calculations and analysis of the results. This approach used in hydrogeological research allows substitution empirically approbated and scientifically valid parameters with calculated numerical values. In order to substitute a set of random values when other set of random values is given the hypothesis can be put forward as scientific assumption that such numerically determined values credible and applicable for calculations. The hypothesis is an assumption that the values of two sets of parameters, which are determined by two different methods (empirical and analytic), are valid and their mathematical relationship is described by equation of linear regression and its coefficients. The method that is offered mathematically verifies if the measurement results of empiric experiment and analytic calculations adequately describe the value and variability of the determinable parameter, that would allow the data to be used in future for different hydrologic calculations with certain statistically determined degree of probability.


Keywords
hidroģeoloģija, hipotēze, pāru korelācija, regresijas vienādojums

Aleksāns, O. Regression Analysis of Two Data Set Pairs in Hydrogeologic Research. Boundary Field Problems and Computer Simulation. Vol.41, 2009, pp.29-34. ISSN 1407-7493.

Publication language
Latvian (lv)
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