5.2. Using the tools of a multi-component prototype of the business environment
proposed in the previous section of the study to obtain the weight of each of the
subsystems.
The total sum of the specific gravity of each subsystem is denoted by CH, for this
indicator the fair equation (4) [ 1 1 ]:
CH = σ
CHg=1
Ñ–í µí±”
í µí±”=1
, (4)
where CHg - weighing coefficient g- business environment subsystems of the
region, and g=
1,7
Ì…Ì…Ì…Ì… and g =1,27
Ì…Ì…Ì…Ì…Ì…Ì….
6. The calculation of the integral index of the business environment in the regional
context. The integral index of the level of development of the business environment of
the Ñ–-th region (IILDERi) was obtained by using the method of calculating the richly
weighted average (5) [1 1]:
IILDERi = CHgS
ig
, (5)
where CHg is the weighted coefficient of the g-subsystem of the business
environment of the i-region
, g = 1,7
Ì…Ì…Ì…Ì… and g= 1,27
Ì…Ì…Ì…Ì…Ì…Ì…; S
ig
– integral subaggregates of the
g-subsystem of the business environment of the i-region, g =
1,7
Ì…Ì…Ì…Ì… and g= 1,27
Ì…Ì…Ì…Ì…Ì…Ì…;
7. Comparative assessment, ranking of regions with subsequent clustering
according to the value of the integral index of the development of the business
environment. At this stage, we consider it appropriate to use the mathematical
procedure of cluster analysis. Moreover, within the cluster analysis we will not allow
a simple mathematical division into intervals of the integral index of the development
of the business environment of the country into equal parts. For each individual case,
we calculate our step and the corresponding interval segments, which significantly
improves the quality of cluster analysis. The Sturges rule is a scientifically recognized
method for determining the optimal number of ranges [1 2]. Its formulaic interpretation
is (6):
Δ
=V∕(1+3,322⋅lgN), (6)
where N - number of elements, N = 27; V - range of values of the integral index
of the development of the business environment.
8. Graphic interpretation of the results. Graphic interpretation will allow to
visualize the data obtained, will provide greater visibility of the research results. Built
in the form of a map of Ukraine with the allocation of geographical clusters,
differentiated by the level of development of the business environment, can be used to
make decisions on regulatory policies at both the state and regional levels. The map
should be used as a basis for decision-making in the development and implementation
of management decisions and documents: plans, programs, forecasts, projects; location
of production and the formation of infrastructure support; development of investment
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