scholarly journals The Method of Statistical Dependencies of Equations: Application Criteria and Main Functions

2019 ◽  
pp. 197-211
Author(s):  
Omelian Kulynych ◽  
Roman Kulynych

The objective assessment of the state and development of socio-economic phenomena and the processes can only be ensured by the use of properly selected statistical and mathematical methods. These methods cease to be a matter of interest in practice when there is no certainty as to how much they can be applied to specific tasks. In the context of significant advances in technology for the collection and processing of statistics, the skilled use of statistical and mathematical methods is significantly hampered by a lack of knowledge of methods and their ability to evaluate information. The article highlights the criteria for choosing the best equation of dependencies as a means of statistical analysis of the influence of factors on the results of socio-economic development of the national economy as a whole, including individual types or forms of economic activity. It has been shown that the statistical dependency method can be used to solve the tasks set out in the article. The method of statistical dependence equations is a statistical method of analyzing the causal relationships of economic phenomena and processes. Unlike the mathematical method of correlation and regression analysis, which is based on linear algebra, the application of the method of statistical equations of dependencies is based on the calculation of the coefficients of comparison, which are determined by the ratio of the individual values of the eponymous sign to its minimum or maximum level. With increasing values of the sign, the coefficients of comparison are calculated from the minimum level, and at decrease — from the maximum. The comparison coefficients show the degree of change (increase or decrease) of the magnitude of the trait to the accepted comparison base. The parameter of the equation of dependence is calculated on the basis of the coefficients of comparison of the resultant and factor trait. Unlike the coefficients of elasticity known in statistics, the parameters of the equation of dependence, which are determined by the method of deviations, allow to take into account not only the influence on the effective attribute of one factor, but also the cumulative effect of many factors.

2018 ◽  
Vol 28 (6) ◽  
pp. 2161-2165
Author(s):  
Hristo Ivanov Popnikolov

From the subject presented in the report it is evident that the pre-trial and the court bodies may, to some extent, be influenced both by the person of the accused and by his competence to participate in the criminal process. In this regard as an expert, the psychologist can offer invaluable assistance. Each expertise would assist all actors involved in the administration of justice on their objective assessment of the offenders, the understanding of their individual protection and the inherent self-justification during procedural actions. The involvement of psychologists in the criminal process is key to establishing the truth in the investigation, because every crime as an act has a subjective side, expressed in the psychic attitude of the perpetrator to the committed act. Establishing these psychological motives is a key point in the criminal process with a view to establishing the truth.Psychological protection stabilizes the personality in the critical conditions of counteraction, related to the elimination of the experiences of tension, anxiety, stress and frustration, leading to maximum mobilization of its resources and at the same time to their overpayment. Thus, the individual who is the subject of the process action is protected against the adverse external influences, but at the cost of a lot of effort and enormous loss of nervous-mental energy, which increases his own vulnerability instead of contributing to its reduction. The appearance and functioning of psychological protection can be significantly impeded by the interaction of the investigator with the accused. Even more complicated is the situation when it breaks the communication contact that may arise in the psychological alienation and self-isolation of the accused due to the desire to protect himself.Protective psychological dominance is a real psychic activity that investigators, investigators, investigators and judges need to take into account in order to effectively deal with their task and to overcome the resistance of the investigated persons and in a time to prove in a lawful and moral way their guilt and participation in the commitment of the crimes.


Complacency potential is an important measure to avoid performance error, such as neglecting to detect a system failure. This study updates and expands upon Singh, Molloy, and Parasuraman’s 1993 Complacency-Potential Rating Scale (CPRS). We updated and expanded the CPRS questions to include technology commonly used today and how frequently the technology is used. The goal of our study was to update the scale, analyze for factor shifts and internal consistency, and to explore correlations between the individual values for each factor and the frequency of use questions. We hypothesized that the factors would not shift from the original and the revised CPRS’s four subscales. Our research found that the revised CPRS consisted of only three subscales with the following Cronbach’s Alpha values: Confidence: 0.599, Safety/Reliability: 0.534, and Trust: 0.201. Correlations between the subscales and the revised complacency-potential and the frequency of use questions are also discussed.


During the latter part of 1902 and the early months of 1903 I resolved to take as many observations of the rates of dissipation of positive and negative electric charges as possible, and to continue them over the whole 24 hours of the day, and, when opportunity offered, over longer periods. There appeared to be little information regarding the rate of dispersion during the night hours. At about the same time that these observations were being made, Nilsson was doing similar work at Upsala, and found a noticeable maximum value for atmospheric conductivity at about midnight. The observations were made on the Canterbury Plains of New Zealand, at a station about 20 feet above sea-level and about five miles due west from the sea coast. The apparatus used was Elster and Geitel’s Zerstreuungs- apparat , and the formula of reduction used was that given by them, viz:- E = 1/ t log V 0 /V- n / t ' log V' 0 /V' . In this formula E is proportional to the conductivity of the gas surrounding the instrument—for positive or negative charges, as the case may be. The constant “ n ” = ratio of capacity without cylinder ____________________________________ capacity with cylinder was determined by me to be 0·47, as the instrument was always used, with the protecting cover. The cover was always at one height above the base of the instrument, and was set so as to be as nearly co-axial with the discharging cylinder as could be judged by eye. No attempt was made to determine the actual capacity of the condenser cylinder and protecting cover, which would be a somewhat variable quantity owing- (1) to the differences on different days in attempting to cause the two to be co-axial; (2) to a certain amount of looseness in the fit of the shank of the cylinder on to its hole. The value above given for “ n "is the mean of several deter­minations made with different settings of the cover and cylinder. The individual values of “ n ” varied over about 0.03.


2021 ◽  
pp. 002202212110447
Author(s):  
Plamen Akaliyski ◽  
Christian Welzel ◽  
Michael Harris Bond ◽  
Michael Minkov

Nations have been questioned as meaningful units for analyzing culture due to their allegedly limited variance-capturing power and large internal heterogeneity. Against this skepticism, we argue that culture is by definition a collective phenomenon and focusing on individual differences contradicts the very concept of culture. Through the “miracle of aggregation,” we can eliminate random noise and arbitrary variation at the individual level in order to distill the central cultural tendencies of nations. Accordingly, we depict national culture as a gravitational field that socializes individuals into the orbit of a nation’s central cultural tendency. Even though individuals are also exposed to other gravitational forces, subcultures in turn gravitate within the limited orbit of their national culture. Using data from the World Values Survey, we show that individual values cluster in concentric circles around their nation’s cultural gravity center. We reveal the miracle of aggregation by demonstrating that nations capture the bulk of the variation in the individuals’ cultural values once they are aggregated into lower-level territorial units such as towns and sub-national regions. We visualize the gravitational force of national cultures by plotting various intra-national groups from five large countries that form distinct national clusters. Contrary to many scholars’ intuitions, alternative social aggregates, such as ethnic, linguistic, and religious groups, as well as diverse socio-demographic categories, add negligible explained variance to that already captured by nations.


Author(s):  
Т.А. Нестик

Приводятся результаты эмпирического исследования (N=1600), посвященного отношению россиян к новым технологиям. Показано, что позитивное отношение личности к новым технологиям поддерживается ценностями открытости к изменениям и отрицательно связано с ценностями сохранения. Удалось прояснить соотношение когнитивных, аффективных и поведенческих компонентов отношения личности к новым технологиям. Были выделены социально-психологические типы оценивания новых технологий («индифферентные», «ориентированные на влияние значимых других», «разборчивые», «прагматики», «ориентированные на безопасность»), а также социально-психологические типы отношения личности к новым технологиям («технофилы», «тревожные сторонники технического прогресса», «технофобы» и «безразличные к технологиям»). Выявлены социально-психологические предикторы технооптимизма, технофобии, технофилии и готовности использовать новые технологии. На основании проведенных исследований можно сделать вывод о том, что технофилия и технофобия являются не противоположными полюсами одной шкалы, а разными феноменами, связанными друг с другом. The results of an empirical study (N = 1600) devoted to the attitudes of Russians towards new technologies are presented. It is shown that the positive attitudes of the individual to new technologies is supported by the values of openness to change and is negatively associated with the values of conservation. We managed to clarify the relationship between the cognitive, affective and behavioral components of personal attitudes to new technologies. We have identified several socio-psychological types of assessment of new technologies ("indifferent", "relying on social support", "discerning", "pragmatists", "safety-oriented"), as well as socio-psychological types of personality attitudes to new technologies ("technophiles", "anxious supporters of technical progress", "technophobes", and "indifferent to technology"). The socio-psychological predictors of techno-optimism, technophobia, technophilia and willingness to use new technologies were identified. Based on the research carried out, it can be concluded that technophilia and technophobia are not opposite poles of the same scale, but different phenomena related to each other.


Author(s):  
Ainagul Karipova ◽  
Kuanysh Baltabaev ◽  
Yerbol Omarov ◽  
Talgat Makhanov

The authors study the issues of applying mathematical methods to the assessment of the criminogenic levels in administrative-territorial units of the Republic of Kazakhstan. They have analyzed a considerable volume of statistical information for the past 20 years and, as a result, have identified the highest and the lowest number of registered crimes. Several indices were used to develop an index of criminogenity (ranging) of regions: crime level, graveness of crimes, size of population in a certain area. They recommend to define the public danger of crimes as a numerical value expressed in abstract units - points - based on the average sanctions, an average punishment imposed by a court and an average rating assigned by experts (researchers, practical specialists). The authors have studied modern Kazakh and foreign publications on the use of mathematical methods in criminology. The results of assessment according to three methods of ranging - legislative (legal), court, and expert - are presented in the tables. There is a correlation between legislative (legal) and court assessments. Calculations were used to determine the criminal status of some territorial units, which makes it possible to compare the number of crimes and the degree of their public danger for the population in the over-16 age group. In order to analyze the administrative-territorial units of the same type, the cities have been grouped according to the size of population. The presented methodology is reflected in the spectral scale on the «Map of Criminal Infringements» of the Committee for Legal Statistics and Special Records of the Prosecutor Generals Office for the Republic of Kazakhstan; it takes into account the distribution of cities into four groups which, in the end, will make it possible to obtain a maximally objective assessment of the criminal situation and to take preventive measures.


2021 ◽  
Author(s):  
Khicheza Fynchina

This article examines the indicators of income of the population as the main factors of social and economic growth of the Kyrgyz Republic. In the context of a sharp decline in economic development indicators, the finances of the population are a significant factor influencing GDP growth. The analysis uses statistical and economic and mathematical methods based on the application of the methodology of economic and mathematical modeling. The analysis of the composition and structure of household income is carried out. Models of multiple and paired regressions of types of income and components of income of the population have been built. A high dependence of GDP on income from employment has been revealed. The degree of influence of particular indicators of the development of the individual entrepreneurship sector on the growth of income in terms of employment of the population of the Kyrgyz Republic is determined.


Author(s):  
P. A. Ilyin ◽  

In the context of a slowdown in the growth of the world economy, and the national economies reformatting as a result of sanitary and epidemiological restrictions, the issue of establishing economic security criteria and indicators at various levels of the economy becomes urgent. The primary element of the Russian economy creating goods, performing work, and providing services is an enterprise. Since currently, there are different scientific points of view, and there is no unified approach to this issue, there is a need to create a scientifically based model, including using mathematical methods, for assessing the viability of an enterprise regarding the safety of its vital interests. Using the correlation and regression analysis, the author studies the linear dependence of economic security general level on the corresponding financial indicators, which are formed based on fifty simulated financial and economic situations in the company’s activities. To analyze, the author uses the coefficients of fixed assets depreciation, absolute liquidity, term liquidity, capitalization, financial independence, asset turnover autonomy, capital return, equity turnover, and economic, financial, and commercial profitability. As a result, the paper presents a model for assessing the general level of the company’s economic security. The resulting equation is significant, but only five of thirteen coefficients are valid at a given level of error and probability: the fixed assets depreciation coefficient, absolute liquidity coefficient, current liquidity coefficient, financial independence coefficient, and financial profitability coefficient. At the same time, the formulated system of indicators of exclusively financial security is not complete when studying the level of economic security of an enterprise, forming only the central part of the general (expanded) model of economic security of an enterprise.


The place of the state in the theory of shocks is predetermined by the increasing importance of the subjective component of the processes of self-movement of systemic integrities. The main problem is that the state formalizes the actions of subjects as economic agents, abstracting from social conditions that generate the individual values of a person implemented in the economy. So, the economic subject acquires its own individual values in a society with a sharp polarization of citizens' incomes, inequality of opportunities, a shrinking middle class, and an ineffective public healthcare system, as demonstrated by the coronavirus pandemic. As a result, a fundamental problem arises of the discrepancy between society and economy as well as formal and informal institutions that predetermine the opportunistic behavior of the economic subjects. Thus, the state persistently strives for financial stability in the economy, abstracting from the problems of social disunity.


Author(s):  
Steven Kim

We pass judgment on the value of scientific results. For example, we may feel that the periodic table of elements is of greater significance than the understanding that hydrogen is lighter than oxygen. For one thing, the latter fact may be deduced from an understanding of the periodic table. In this way, we may ascribe a measure of quality to an idea. The quality of an idea is subjective, and cannot be assigned an absolute value. However, it is possible to give a partial ordering and claim that idea A is of higher, lower, or equal worth in relation to idea B. The judgment of the relative importance of ideas is made routinely, for example, by an instructor in delivering a lecture or writing a book. The assignment of value occurs implicitly in the selection of topics and their relative emphasis. Once we admit a preference ordering among ideas, we may also assign an arbitrary numerical scale to them. This practice is standard in the field of economics, where a preference ordering among goods suggests a measure of utility. Since each consumer has individual tastes and needs, the resulting utility function varies from one person to another even for the same basket of goods. Further, the preferences are subjective and relative, rather than absolute. As a result, the level of utility can be based only on a conceptual scale. The basic measure of utility is an arbitrary unit called a util. In a similar way, we may assign a quality metric in terms of a granular unit of a qual. A person may assign a particular set of quals to a portfolio of ideas based on his own tastes and predilictions. A second person may offer a completely different set of quality values. This conception of an individual ordering of ideas is consistent with the view of difficulty and creativity as relative rather than absolute parameters. To pursue this line of reasoning, we may also speak of the combined quality of two or more ideas. The value of a set of ideas may be greater than, equal to, or less than the sum of the individual values.


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