Methodological features of χ2 consistancy criteria using in the practical problems of sociology, economics and marketing

Oleksandr Grygorovich Khanin


Abstract


There is a need to compare probability of distributions of  various qualitative factors in many practical problems of sociology, economics and marketing. They may be the taste preferences of customers, the sources of the searching for information about the goods or services, sales structure, financial and economic results in different sections etc. The distribution may depend on different social, financial and economic factors: age, education, income, belonging to certain professional groups, local features, etc.

The article shows that the classic method of testing of statistical hypotheses about the difference between sample distributions of some factors using χ2 consistency criterion, created for comparison of empirical and theoretical distributions, is not fully correct. Therefore, it is  proposed the method of using χ2 test for the practical solution of  similar problems.


Keywords


theoretical and sample distribution; binomial distribution; Student distribution; consistency criterion χ2; confidence intervals; Excel tool «Search for solutions»

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References


Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from randon sampling. Philosophical Magazine, 50, 157.

Fisher, R. A. (1922). On the interpretation of χ2 from contingency tables, and the calculation of P. Journal of the Royal Statistical Society, 85, 87.

Fisher, R. A. (1924). The conditions under which χ2 measures the discrepancy between observation and hypothesis. Journal of the Royal Statistical Society, 87, 442.

Siegel, A. (2002). Practical Business Statistics. Moscow: Wilyams.

Kramer, H. (1976) Mathematical Methods of Statistics. Moscow: Mir.


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Science Works Journal "Ekonomichnyy analiz"

ISSN 1993-0259 (Print)  ISSN 2219-4649 (Online) DOI: 10.35774/econa


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