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THE CONCEPT AND ESSENCE
OF THE SELECTIVE METHOD.
DETERMINATION OF
AVERAGE AND MARGINAL
ERRORS OF
REPRESENTATIVENESS
https://econ.biem.sumdu.edu.ua/
D E P A R T M E N T O F E C O N O M I C S ,
E N T R E P R E N E U R S H I P A N D B U S I N E S S
A D M I N I S T R A T I O N
SELECTIVE METHOD
An observation that characterizes
the entire set of units based on the
study of its part is called selective.
The main tasks of selective observation:
Studying the average size of the
investigated feature
Study of the specific weight (share)
of the studied characteristic in the
aggregate
method of selecting units
The accuracy of the results of the selective
method depends on:
the degree of fluctuation of the
characteristic in the aggregate
the number of observed units
BASIC NOTIONS OF THE SELECTIVE METHOD
Selective population - a part of the
general population that is subject to
examination.
(letter n)
selective average - x
The general population is the total
population of units from which the
selection is made.
(letter N)
general average - x ~
-
The general and selective averages do not match. This is due to the representativeness error.
Marginal error of representativeness - or where w is the share of the studied trait
in the general population, and p is the share of the studied trait in the sample population.
ERRORS OF REPRESENTATIVENESS
Systematic Errors
arise as a result of
violation of the
principles of selective
observation.
Random errors of
representativeness
are caused by the fact
that the selective
population does not
accurately reflect the
average and relative
indicators of the
general population.
FACTORS AFFECTING
REPRESENTATIVENESS ERRORS:
indicators of variation of a certain characteristic
(e.g. dispersion): the greater the indicator of
variation, the greater the size of the error
from the method of selection (repeated or non-
repeated)
from the size of the sample: the larger the
sample, the lower the probability of error
(error size)
Method of selection
Repeatable Unrepeatable
When determining the
average size of the
investigated
characteristic (x)
When determining the
share of the
investigated feature
(w)
MEAN ERROR OF REPRESENTATIVENESS
n i s t h e n u m b e r o f u n i t s o f
t h e s a m p l e p o p u l a t i o n
N i s t h e n u m b e r o f u n i t s o f
t h e g e n e r a l p o p u l a t i o n
- t h e s h a r e o f u n i t s o f
t h e p o p u l a t i o n b e i n g s t u d i e d
- s h a r e o f p o p u l a t i o n
u n i t s t h a t a r e n o t
i n v e s t i g a t e d
THANK YOU

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THE CONCEPT AND ESSENCE OF THE SELECTIVE METHOD. DETERMINATION OF AVERAGE AND MARGINAL ERRORS OF REPRESENTATIVENESS

  • 1. THE CONCEPT AND ESSENCE OF THE SELECTIVE METHOD. DETERMINATION OF AVERAGE AND MARGINAL ERRORS OF REPRESENTATIVENESS https://econ.biem.sumdu.edu.ua/ D E P A R T M E N T O F E C O N O M I C S , E N T R E P R E N E U R S H I P A N D B U S I N E S S A D M I N I S T R A T I O N
  • 2. SELECTIVE METHOD An observation that characterizes the entire set of units based on the study of its part is called selective. The main tasks of selective observation: Studying the average size of the investigated feature Study of the specific weight (share) of the studied characteristic in the aggregate method of selecting units The accuracy of the results of the selective method depends on: the degree of fluctuation of the characteristic in the aggregate the number of observed units
  • 3. BASIC NOTIONS OF THE SELECTIVE METHOD Selective population - a part of the general population that is subject to examination. (letter n) selective average - x The general population is the total population of units from which the selection is made. (letter N) general average - x ~ - The general and selective averages do not match. This is due to the representativeness error. Marginal error of representativeness - or where w is the share of the studied trait in the general population, and p is the share of the studied trait in the sample population.
  • 4. ERRORS OF REPRESENTATIVENESS Systematic Errors arise as a result of violation of the principles of selective observation. Random errors of representativeness are caused by the fact that the selective population does not accurately reflect the average and relative indicators of the general population.
  • 5. FACTORS AFFECTING REPRESENTATIVENESS ERRORS: indicators of variation of a certain characteristic (e.g. dispersion): the greater the indicator of variation, the greater the size of the error from the method of selection (repeated or non- repeated) from the size of the sample: the larger the sample, the lower the probability of error (error size)
  • 6. Method of selection Repeatable Unrepeatable When determining the average size of the investigated characteristic (x) When determining the share of the investigated feature (w) MEAN ERROR OF REPRESENTATIVENESS n i s t h e n u m b e r o f u n i t s o f t h e s a m p l e p o p u l a t i o n N i s t h e n u m b e r o f u n i t s o f t h e g e n e r a l p o p u l a t i o n - t h e s h a r e o f u n i t s o f t h e p o p u l a t i o n b e i n g s t u d i e d - s h a r e o f p o p u l a t i o n u n i t s t h a t a r e n o t i n v e s t i g a t e d