Abstract
The territorial differentiation analysis determined by economic, social, demographic, natural, and other regional conditions is one of the means of scientific cognition method of formation and causeeffect relationships mechanism of consumption level. However, this task is difficult for there is no single (universal) developed indicator of goods and services consumption level. Specific indicators are the indicators of individual elements only. Our objective is to obtain a quantitative (statistical) consumption level estimation in the regions of Russia. Based on the fact that “consumption level” is a synthetic category that has many aspects and indicators we proposed to form a system of relevant statistical indicators based on official information. In accordance with this, the following research tasks were set: to obtain a generalizing multidimensional consumption of goods and services level assessment in the constituent entities of the Russian Federation; to determine the typology of the regions using the obtained estimates; to develop econometric models of generalized indicators; to identify the most important factors affecting regional differences in the consumption level in the Russian Federation. As a result of the constituent entities of the Russian Federation typology, according to a generalized assessment of consumption (goods and services), it was found that the majority of regions (67%) belong to a group with average consumption level, 16% to a group with high level and 17% to a group with low consumption level.
Keywords: Standard of livingconsumption; regiongeneralized indicatormultidimensional evaluationstatistics
Introduction
Effective social policy in the regions of the Russian Federation is based on the knowledge of the causes and factors determining the territorial differences in the living standards of the population. In this regard, the role of regional statistics is undoubtedly great, being a means of informational and methodological support of the decisionmaking process for regulating the standards of living of the people in the regions.
The substantive aspect of the category of "standard of living" should be considered thoroughly. The standard of living in the narrow sense is, above all, in our opinion, the achieved level of material goods and services consumption by the population. In a broad sense, the category of "standard of living" includes the whole complex of socioeconomic conditions of society, interpreted in the literature quite ambiguously.
To characterize the standard of living of the population from the point of view of the concept of consumption, the following indicators are used: total and average consumption of goods and services volume per capita (both for the population and for individual social, age and gender, and income groups).
Problem Statement
Consumption is a use of a product in the process of satisfying needs. Thus, a person acquires goods and services in order to meet his/her needs. Throughout his/her life, a person experiences many needs in various spheres of life, starting with physiological requirements and ending with the needs for personality selfrealization and selfactualization.
The consumption level is a multicomponent category and to describe it a single indicator is not enough. It is necessary to develop a system of indicators, each of which will be considered in a regional context. This will allow to solve the scientific problem of interregional comparative analysis. At the final stage of the study, it is necessary to develop and calculate generalizing indicators for individual integrated groups of consumption (goods, services, etc.).
The population wellbeing and its differentiation by constituent entities of the Russian Federation should be estimated by developing generalizing consumption indicator for three indicators: a generalized food consumption indicator, a generalized of nonfood items consumption indicator, and a generalized services consumption indicator.
A generalized consumption estimation of different countries and regions was carried out by many researchers. We can note similar studies on Romania (Dumitru & Stănescu, 2014; Mârza, Mărcuţă, & Mărcuţă, 2015), Prague (Varvazovska & Prasilova, 2015), Russia (Proskurina, 1999; Zadorova, 2017). Brovkova proposes original consumption indicators as the most suitable for analyzing the socioeconomic inequality of Russian regions (Brovkova, 2014).
An important question is the role of individual factors in regional differences in the level of consumption. A wide range of scientists from different countries mentioned it. Madzík, Piteková, & Daňková (2015) analyze the links between the competitiveness of individual countries and the consumption level of their population. Wang and Hao (2018) study the Internet impact on “sustainable consumption in an international context”. The impact of the poverty factor is considered in the works of Kochkin (2016), Zalivcheva and Iosipenko (2016).
We consider it rather nonstandard to study the influence of spirituality state in society on the motivation of needs of the subject (Piryutko, 2013) and the socialization factor on the consumer behavior model (Shilova, 2014).
The issues of financing consumer spending and the concept of “conscious consumption” are reflected in the scientific works of Abramuszkinová and Rozbořil (2014), Quoquab and Mohammad (2016) and Lim (2017).
Macroeconomic aspects and factors of household consumption are conceptually reviewed in Hoang, Pham, & Ulubaşoğlu (2014) and Manakhova (2014).
In our opinion, there is a certain lack of research on the statistical description of the consumption level in households of the Russian Federation. However, without a generalized assessment of consumption, it is difficult to obtain an objective situation of the Russians standard of living.
Research Questions
This study posed the following questions.
to analyze the information base for calculating statistical indicators of consumption and the standard of living of the population;
to develop a methodology for calculating generalized consumption indicators based on the synthesis of particular indicators
to develop multifactor regression models of generalized consumption indicators in the regions of the Russian Federation;
to make a quantitative assessment of the role of factors determining territorial differences in the level of consumption of the population in Russia.
Purpose of the Study
The work aims at a statistical consumption analysis of the population in the Russian Federation.
The research object is the differences in the consumption level of the population and the factors determining them in the Russian Federation and its regions.
Statistical laws and interrelations of socioeconomic processes characterizing the differentiation of the consumption level of the population in the Russian Federation are considered as a research subject.
Research Methods
The study was carried out based on the materials of the Federal State Statistics Service of Russia, as well as scientific publications on the subject under study.
The methodological and theoretical basis of the study consists of laws and other regulatory acts of the Russian Federation, the work of domestic and foreign experts in statistical study of the standard of living and household consumption.
For a comparative assessment of consumption indicators in regions, nonparametric methods of statistical analysis are used. The main advantage of these methods is the possibility of targeted "compression" of the initial information, the quantitative characteristics of attribute features, the synthesis of the values of particular indicators into the integral ones and the simplicity of results interpretation.
Nonparametric estimation methods include: a ranking method, the scoring method, a sum of the places method, a multidimensional average method, a “Pattern” method, and other methods. A generalizing expression of the multiscale characteristics of a multidimensional phenomenon, taking into account the differences common for natural values of attributes, makes it possible to obtain the multidimensional average and the “Pattern” methods.
The algorithm of the multidimensional average method is as follows:
 source data matrix is replaced by matrix of normalized values (the average value of each consumption indicator is calculated for the studied population of regions (
) and the normalized values of private consumption indicators for each region are determined ( ); multidimensional average estimate of consumption level is calculated from the normalized values of particular consumption indicators, i.e. for each line (region) there is the arithmetic average of the normalized values
(1)
The “Pattern” method differs from the multidimensional average method in that the best values of indicators are used as the basis for pairwise comparisons.
The maximum values of the indicators being taken as the best ones for the factors that have a direct impact on the phenomenon under study:
(2)
For factors that have the opposite effect on the phenomenon under study (the socalled antifactors), the minimum values of the indicators are taken as the best, and the inverse formula should be used to calculate the normalized values:
(3)A generalized estimate is also calculated from the normalized values of particular consumption indicators, as the arithmetic average of the normalized values of the indicators.
The highest values of the generalized assessment indicate a high level of the socioeconomic phenomenon under study.
A disadvantage of such an assessment (underestimated) is that the analysis does not take into account the priority of some features over the others due to their information capacity and socioeconomic significance.
To take into account the role of each particular indicator in the formation of a generalized assessment, in which the latter is calculated on the basis of the standardized values considering of particular indicators, i.e. using weighting coefficients can be a more preferred approach:
(4)
where ${d}_{i}$– weighting coefficients, found this or that way.
The weighting coefficients can be taken as certain types of products ratio in the total expenditure of household food products purchase of households in the Russian Federation.
To determine the weighting coefficients a ranking method of features selected according to the degree of their significance for the analysis can be used. The method is followed by the subsequent assignment of weighting coefficients to the features based on expert judgment. For example, the largest weighting coefficient is defined as the most consumed food product.
To study the factors influencing the state of consumption in regions, we developed models in the form of linear multiple regression equations, which are an analytical form of the dependence on various factors of the modeled indicators.
Findings
Goods and services consumption analysis begins with necessary statistical information collecting.
Sources of information concerning the consumption of the population are: current accounting, reporting of enterprises, organizations, and serving institutions; labor statistics, employment of population data, household budgets data, population censuses, sociological and other surveys concerning social life conditions and human activities.
To obtain economic and statistical information on living standards of various groups and segments of population, state statistics agencies conduct sample surveys of household budgets, the data of which are used to assess the level and dynamics of material wellbeing of households with different incomes. The survey is conducted in all constituent entities of the Russian Federation by a selective method based on indicators characterizing household composition by sex, age, occupation, income from sources of income, expenditures by type of expenditure, purchases and consumption of food and nonfood items, expenditures on certain types of services, housing conditions indicators, personal subsidiary farming and other indicators.
To characterize the differentiation of the Russian Federation regions by consumption level of goods and services by the population and develop region typology, generalized consumption indicators using the “Pattern” method were calculated on the basis of private consumption indicators (Table
Table
More than half of the regions have low food and services consumption levels. By consumption of nonfood items 56% of the entities are in the group with average consumption level.
According to a generalized assessment of consumption (goods and services), the main part of the regions (67%) is in a group with average consumption level, 16% in a group with high level and 17% in a group with low consumption level.
The group with low consumption level is represented by 14 entities of the Russian Federation, they are mainly the republics of the North Caucasus and the regions that are outsiders due to socioeconomic situation: the republics of Dagestan, Ingushetia, North OssetiaAlania, Chechen, KarachayCherkess, Kalmykia, the Crimea, Mari El, Chuvash, Tyva, Khakassia, Altai, as well as the Smolensk and Tambov regions. This group has the lowest values of generalized estimates of consumption of both food products and nonfood items and services.
The group with high level of consumption, and therefore high living standards included 13 highly developed regions, mainly in terms of economic development: cities of federal significance: Moscow, St. Petersburg, Sevastopol, as well as the Murmansk, Moscow, Sakhalin, Sverdlovsk, Magadan regions, the republic of Sakha, Kamchatka, Khabarovsk, Krasnodar Territories, Chukotka autonomous area.
The most numerous group is formed by 55 regions of the Russian Federation with average consumption level and standard of living. In this group, there are average values of multidimensional indicators of food, nonfood items, and services consumption. This group includes the Samara region.
The constructed typology of regions can be used for the formulation of regional policies and in the diagnosis of their socioeconomic status. At the same time, it is necessary to establish the influence of which factors lead to the differentiation of regions in terms of living standards, characterized by the consumption of goods and services by the population. That is, it is necessary to identify the presence of statistical relationship between the considered effective and factor features and to quantify the influence extent of the argument factors on consumption indicators. The implementation of this goal is carried out by the multifactor regression model’s development.
In terms of regional consumption levels variation, it is possible to solve of the problem of identifying objective causes and factors determining interterritorial differences by developing multifactor regression models of generalized consumption indicators:
Y1  generalized indicator of food consumption level,
Y2  generalized indicator of nonfood items consumption level,
Y3  generalized indicator of services consumption level,
Y4  generalized indicator of consumption level.
The homogeneity analysis of the studied aggregates of consumption indicators revealed that the private and generalizing consumption indicators are homogeneous territorial series. When developing the indicators models, 82 regions of the Russian Federation were included into the statistical aggregates.
Regression models of generalized consumption indicators development, which are the most informative indicators of the population welfare level among the studied indicators, is the final stage of identifying the factorarguments determining territorial differences in the standard of living of the population. Further on, we shall use the factor variables numbering introduced during the study.
Consistently conducted multistep regression analysis allowed us to determine the range of factorarguments of the generalized indicator of food products consumption:
X4  percentage of men of the total population;
X5  level of urbanization of the population;
X6  male lifetime expectancy;
X11 level of general unemployment;
X13  quality of living conditions, characterized by the proportion of apartments provided with bath and shower;
X24  average yield of grain crops for several years.
Model of generalizing index of food products consumption: ${\stackrel{^}{y}}_{1}=\mathrm{0,62}+\mathrm{0,003}{x}_{5}+\mathrm{0,009}{x}_{6}+\mathrm{0,011}{x}_{4}\mathrm{0,003}{x}_{11}\mathrm{0,001}{x}_{13}+\mathrm{0,002}{x}_{24}$
The linear equation coefficients of multiple regression express the degree of food products consumption level change by the population in the regions of the Russian Federation due to an increase in the values of the corresponding factor features for fixed values of other factorarguments and the averaged influence of other unrecorded factors. The free member of the regression equation b_{0}=0,62 characterizes the value of the initial ordinate of the regression plane in fivedimensional space.
Regression equation in a standardized form:
$${\stackrel{^}{t}}_{1}=\mathrm{0,781}{t}_{5}+\mathrm{0,501}{t}_{6}+\mathrm{0,226}{t}_{4}\mathrm{0,228}{t}_{11}\mathrm{0,371}{t}_{13}+\mathrm{0,297}{t}_{24}$$
The greatest significant influence on the formation of territorial differences of the generalized indicator of food products consumption has a differentiation in the level of urbanization of the territory (
The multiple regression equation includes the most significant regression coefficients by the t – criterion. The value of the coefficient of multiple correlation was 0.698, which is slightly higher than the similar values of particular indicators of food products consumption.
Regression model of general indicator of nonfood items consumption:
$${\stackrel{^}{y}}_{2}=\mathrm{0,6722}\mathrm{0,0063}{x}_{11}+\mathrm{0,0001}{x}_{22}+\mathrm{0,0002}{x}_{19}+\mathrm{0,0009}{x}_{13}+\mathrm{0,0021}{x}_{10}$$
Model in standardized form:
$${\stackrel{^}{t}}_{2}=\mathrm{0,451}{t}_{11}+\mathrm{0,191}{t}_{22}+\mathrm{0,292}{t}_{19}+\mathrm{0,243}{t}_{13}+\mathrm{0,183}{t}_{10}$$
The variation in nonfood items consumption by 50% is due to the unemployment rate (
The regression model of territorial differences in services consumption by the population is described by the following equations:
$${\stackrel{^}{y}}_{3}=\mathrm{0,3914}+\mathrm{0,0000}{x}_{20}+\mathrm{0,0039}{x}_{13}\mathrm{0,0092}{x}_{11}+\mathrm{0,0068}{x}_{10}$$
Model in standardized form:
${\stackrel{^}{t}}_{3}=\mathrm{0,418}{t}_{20}+\mathrm{0,382}{t}_{13}\mathrm{0,254}{t}_{11}+\mathrm{0,232}{t}_{10}$,
The model allowed to determine the priority factorarguments in the formation of territorial differences in the consumption of services:
with a positive impact  investment in fixed capital per capita(х20), quality of living conditions, characterized by the proportion of apartments (х13) with bath and shower, the proportion employed in material production: industry, construction and agriculture (х10);
with a negative impact  the unemployment rate (х11).
Generalized consumption indicators of private aspects of consumption reflect just a part of the total consumption of the population, since there are food products, nonfood items, and services consumption, etc. In this regard, it is worthwhile developing a regression model of a generalized consumption indicator (calculated by the multidimensional average method) consisting of three indicators:
generalized consumption indicator of food products;
generalized consumption indicator of nonfood items;
generalized consumption indicator of services.
As a result of a multistep regression analysis, a regression model of territorial differences in the consumption of all goods and services was obtained. The model is described by the equation:
$${\stackrel{^}{y}}_{4}=\mathrm{0,777}+\mathrm{0,003}{x}_{5}+\mathrm{0,000}{x}_{20}+\mathrm{0,002}{x}_{24}+\mathrm{0,023}{x}_{4}+\mathrm{0,000}{x}_{7}$$
Model in standardized form:
$${\stackrel{^}{t}}_{4}=\mathrm{0,629}{t}_{5}+\mathrm{0,213}{t}_{20}+\mathrm{0,332}{t}_{24}+\mathrm{0,384}{t}_{4}+\mathrm{0,176}{t}_{7}$$
The model revealed a stable interdependence of regional levels of a generalized consumption indicator on the level of urbanization, characterized by the proportion of the urban population (
Differentiation of population consumption, according to the considered models, is due to the following factors: urbanization level (X5); proportion of men in the population (X4); average yield of grain crops for several years(X24); capital investments per capita (X20); the average annual number of people employed in the economy (X7).
The cumulative coefficient of linear model determination means that the variation of the generalized consumption indicator, explained by the variation of the considered argument factors described above, is 70.7%. About 50% of this influence is due to the urbanization process (
Correlation analysis reveals the presence of a stable relationship between regional levels of a generalized consumption indicator and its determining factors.
Multifactor models testing for multicollinearity shows that the coefficients of the multiple regression equations, expressing the dependence of regional levels of the generalized consumption indicator on several factors, retain their content and direction.
Comparing the calculated values of the simulated characteristic with the empirical ones is a mathematical category expressing the degree of convergence of the simulation results and the quality of the regression equation. The calculated values of the Fcriterion are much larger than the tabulated ones with a probability of 0.95. This allows to conclude that the permissible level of convergence of empirical and calculated values with the risk of error, respectively, is in no more than 5% of cases. The average approximation error is also within the acceptable level.
The study of the quantitative measure of the influence of determining factors on territorial differences in consumption levels can be performed using partial elasticity coefficients characterizing the relative degree of change of the dependent variable with a change in the values of each factorargument for 1% with the averaged influence of other factors and abstraction from the influence of unrecorded factor signs.
However, elasticity coefficients cannot be used as a basis for determining the priority of factor feature, since they do not take into account the extent of the influence of the arguments determined by the levels of variation on the dependent value.
The priority of factorarguments is most fully expressed by means of partial determination coefficients, characterizing the degree of variation influence of this or that factor feature on the formation of the dispersion of dependent variable.
The calculated values of the partial elasticity coefficients indicate that food consumption is the most elastic in relation to the expected men lifetime: the increase of the male population lifetime up to one percent results in an increase in regional levels of consumption of food products up to 0.882%. Food consumption under the influence of urbanization (
Nonfood consumption is relatively elastic to the ratio of marriages and divorces and unemployment. The increase in the number of marriages up to 1% leads to an increase in the consumption of nonfood items by 0.19%. An increase in the unemployment rate of 1 percent leads to a decrease in the consumption of these goods by 0.133%. As for other argument factors, the consumption of nonfood items is of low elasticity.
The services consumption is characterized by elasticity with respect to the “quality of living conditions” factor, characterized by the proportion of apartments provided with bath and shower (
A very high degree of elasticity occurs in the generalized consumption indicator relative to the proportion of men in the total population: with the increase in the proportion of men by one percent, the consumption of all goods and services increases by 1.785%. This indicator is also elastic in relation to the urbanization of the population (
The elasticity analysis made it possible to estimate the intensity of the influence of factorsarguments on the formation of the values of the simulated characteristics  generalized consumption indicators that characterize standard of living of the population of the regions.
The construction of multifactor regression models of the population wellbeing level has revealed some regularities of territorial differentiation of standard of living of the population of the Russian Federation regions. The construction also pointed out the range of factors determining it.
Conclusion
The results of the conducted analysis of the differentiation of goods and services consumption by the population in the Russian Federation and its regions allow us to draw the following conclusions.
1. At present, to assess the population standard of living is worthwhile to use the quantitative assessment of the studied phenomenon based on generalized assessments of food, nonfood items and services consumption level.
2. The main sources of information on consumption in Russia are various types of reporting, the results of sociological and other sample surveys of social conditions of life and human activities.
3. The methodology for generalized indicators development is described in detail in literature, and most often it is a calculation of a multidimensional average estimate from indicators of consumption using nonparametric estimation methods. We suggest 4 multidimensional consumption indicators that characterize the phenomenon being studied comprehensively  “a generalized indicator of food consumption level”, “a generalized indicator of nonfood items consumption level”, “a generalized indicator of services consumption level”, “a generalized indicator of consumption level”.
4. As a result of the typologization of the constituent entities of the Russian Federation, a generalized assessment of consumption (goods and services) revealed that the main part of the regions (67%) is in a group with the average consumption level, 16% in a group with high level and 17% in a group with low consumption level.
The group with a low level of consumption is represented by 14 subjects of the Russian Federation, mainly the republics of the North Caucasus and outsider regions by socioeconomic situation: the republics of Dagestan, Ingushetia, North OssetiaAlania, Chechen, KarachayCherkess, Kalmykia, the Crimea, Mari El, Chuvash, Tyva, Khakassia, Altai, as well as the Smolensk and Tambov regions. This group has the lowest values of generalized estimates of consumption of both food and nonfood products and services.
The group with a high level of consumption, and therefore a high standard of living, includes 13 highly developed regions, mainly in terms of economic development: federal cities of Moscow, St. Petersburg, Sevastopol, the Murmansk, Moscow, Sakhalin, Sverdlovsk, and Magadan regions, the Sakha Republic, Kamchatka, the Khabarovsk, Krasnodar Territory, the Chukotka Autonomous area.
The most numerous group is formed by 55 regions of the Russian Federation with an average level of consumption and standard of living. In this group, the average values of multidimensional indicators of consumption of food, nonfood items and services. This group includes the Samara region.
The constructed typology of regions can be used for the formulation of regional policies and in the diagnosis of their socioeconomic status.
5. The conducted statistical study of the factors of territorial differentiation of population consumption in the regions of the Russian Federation showed that the simulated socioeconomic phenomenon is the result of the impact of a large number of socioeconomic factors having different directions and different forms of manifestation. The level of regional economy development, the specificity of its structure and employment, as well as sociodemographic factors play a significant role in shaping the consumption of the population, its level and proportions of distribution among various groups of the population.
The regions typology in terms of standard of living of the population, the results of modeling factor relationships of generalized consumption indicators, identifying and analyzing the leading factors determining territorial differences, in our opinion, can serve as information support for the decisionmaking process for regulating living standards in the regions of the Russian Federation. An effective management system at various levels should be based on a statistical analysis of the most important characteristics of the differentiation of population consumption, identifying the most significant patterns in their change.
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Proskurina, N., Tokarev, Y., Bakanach, O., Kornev, V., & Khokhlova, A. (2019). Methodological Basis For Constructing A Generalized Indicator Of Goods And Services Consumption. In V. Mantulenko (Ed.), Global Challenges and Prospects of the Modern Economic Development, vol 57. European Proceedings of Social and Behavioural Sciences (pp. 16591671). Future Academy. https://doi.org/10.15405/epsbs.2019.03.168