- Tytuł:
- On the Analysis of Correlation Between Nominal Data and Numerical Data
- Autorzy:
- Gniazdowski, Zenon
- Powiązania:
- https://bibliotekanauki.pl/articles/2163406.pdf
- Data publikacji:
- 2022-12
- Wydawca:
- Warszawska Wyższa Szkoła Informatyki
- Tematy:
-
nominal data
numerical data
numerical coding of nominal data
complex random variable
correlation coefficient
complex correlation
complex least squares method - Opis:
- The article investigates the possibility of measuring the strength of a linear correlation relationship between nominal data and numerical data. Correlation coefficients for variables coded with real numbers as well as for variables coded with complex numbers were studied. For variables coded with real numbers, unambiguous measures of real linear correlation were obtained. In the case of complex coding, it has been observed that the obtained complex correlation coefficients change with the permutation of the phases in the complex numbers used to code classes of elements with equal cardinalities. It was found that a necessary condition for linear correlation is the possibility of linear ordering of a set with data. Since linear order is not possible in the set of complex numbers, complex correlation coefficients cannot be used as a measure of linear correlation. In the event of such a situation, a substitute action was suggested that would prevent equal cardinality of classes of identical elements contained in the set with nominal data. This action would consist in the correction of data, analogous to the correction during preprocessing or cleaning of data containing missing or outlier values.
- Źródło:
-
Zeszyty Naukowe Warszawskiej Wyższej Szkoły Informatyki; 2022, 16, 27; 57-82
1896-396X
2082-8349 - Pojawia się w:
- Zeszyty Naukowe Warszawskiej Wyższej Szkoły Informatyki
- Dostawca treści:
- Biblioteka Nauki
Artykuł