Measurement by the method of rating
The definition of rating is given and mathematical model of finding the values of object quantity by means of rating is specified. With the help of the rating it is possible to consider both objective and subjective measurements from a single point of view. If, as example, some sequence of objects i...
| Main Author: | |
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| Format: | Article |
| Language: | Russian |
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The United Institute of Informatics Problems of the National Academy of Sciences of Belarus
2019-06-01
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| Series: | Informatika |
| Subjects: | |
| Online Access: | https://inf.grid.by/jour/article/view/473 |
| _version_ | 1797877272668012544 |
|---|---|
| author | V. M. Romanchak |
| author_facet | V. M. Romanchak |
| author_sort | V. M. Romanchak |
| collection | DOAJ |
| description | The definition of rating is given and mathematical model of finding the values of object quantity by means of rating is specified. With the help of the rating it is possible to consider both objective and subjective measurements from a single point of view. If, as example, some sequence of objects is sorted by a varying uniformly magnitude an object number in the sequence could be considered as the rating.The axiomatic definition of the rating is based on a mathematical model of measurement. The formalization of the process of measuring an arbitrary value begins with a clarification of the concept of measurement. During the measurement, the sizes of objects are compared, the matrix of paired comparisons is axiomatically determined, on the basis of this matrix the rating is located. Knowing the rating you can find the value. Then by means of a rating the laws of Fechner and Stevens are analyzed. The equivalence of Fechner and Stevens laws is a confirmation of the algorithm for determining the values of the measured value based on the rating.The subjective method of finding the rating requires a special method of checking the reliability of the information received. Verification of the reliability of the subjective measurement is proposed to perform the method of alternatives. In the alternatives method, each object is compared twice, and different objects are selected as the object for comparison. The criterion of reliability of subjective measurement is the statistical coincidence of rating values obtained by alternative methods of comparison. |
| first_indexed | 2024-04-10T02:14:21Z |
| format | Article |
| id | doaj.art-c6f6c1d78b564b7999e9147a29f90993 |
| institution | Directory Open Access Journal |
| issn | 1816-0301 |
| language | Russian |
| last_indexed | 2024-04-10T02:14:21Z |
| publishDate | 2019-06-01 |
| publisher | The United Institute of Informatics Problems of the National Academy of Sciences of Belarus |
| record_format | Article |
| series | Informatika |
| spelling | doaj.art-c6f6c1d78b564b7999e9147a29f909932023-03-13T08:32:23ZrusThe United Institute of Informatics Problems of the National Academy of Sciences of BelarusInformatika1816-03012019-06-011625261715Measurement by the method of ratingV. M. Romanchak0Belarusian National Technical UniversityThe definition of rating is given and mathematical model of finding the values of object quantity by means of rating is specified. With the help of the rating it is possible to consider both objective and subjective measurements from a single point of view. If, as example, some sequence of objects is sorted by a varying uniformly magnitude an object number in the sequence could be considered as the rating.The axiomatic definition of the rating is based on a mathematical model of measurement. The formalization of the process of measuring an arbitrary value begins with a clarification of the concept of measurement. During the measurement, the sizes of objects are compared, the matrix of paired comparisons is axiomatically determined, on the basis of this matrix the rating is located. Knowing the rating you can find the value. Then by means of a rating the laws of Fechner and Stevens are analyzed. The equivalence of Fechner and Stevens laws is a confirmation of the algorithm for determining the values of the measured value based on the rating.The subjective method of finding the rating requires a special method of checking the reliability of the information received. Verification of the reliability of the subjective measurement is proposed to perform the method of alternatives. In the alternatives method, each object is compared twice, and different objects are selected as the object for comparison. The criterion of reliability of subjective measurement is the statistical coincidence of rating values obtained by alternative methods of comparison.https://inf.grid.by/jour/article/view/473expert estimatesratingfechner's lawstevens lawutility function |
| spellingShingle | V. M. Romanchak Measurement by the method of rating Informatika expert estimates rating fechner's law stevens law utility function |
| title | Measurement by the method of rating |
| title_full | Measurement by the method of rating |
| title_fullStr | Measurement by the method of rating |
| title_full_unstemmed | Measurement by the method of rating |
| title_short | Measurement by the method of rating |
| title_sort | measurement by the method of rating |
| topic | expert estimates rating fechner's law stevens law utility function |
| url | https://inf.grid.by/jour/article/view/473 |
| work_keys_str_mv | AT vmromanchak measurementbythemethodofrating |