Summary and grouping of statistical data, Concept and types of grouping, Principles of grouping, Secondary grouping

Content

1. Summary of Statistics
2. Concept and types of grouping
3. Principles of grouping
4. Secondary grouping

The statistical summary is the following, after statistical observation, the step of statistical work. Its task is to bring the collected information and materials in a certain order, systematize and, on this basis, give a consolidated description of the entire population studied.

Statistical summary - a set of sequential operations for the primary processing of data in order to identify typical features and patterns inherent in the phenomenon under study. This is a scientifically-organized processing of observation materials, including the calculation of group and total totals, systematization, grouping of data and tabulation.

Types of summaries

There are simple and complex summary:

• With a simple summary , the total totals for the studied population are calculated.
• With a complex summary , the observation units are grouped, the totals for each group and the entire population are counted, and the results of the grouping are presented in the form of statistical tables.

The summary is called decentralized if the unified management of work is carried out from the center, and the immediate work is carried out in the field (usually used when processing statistical reports).
If the collection and processing of data is carried out in one place, then the report is called centralized . A centralized summary is usually used to process materials from one-time statistical surveys.

The statistical reporting and grouping is preceded by the development of a statistical observation program consisting of several stages: the choice of a grouping attribute, the development of a system of statistical indicators.

Statistical summary should be carried out according to a specific program and plan.

The summary consists of the following steps:

• Selection of grouping attribute;
• Determining the order of formation of groups;
• Development of a system of statistical indicators for the characteristics of individual groups and the aggregate as a whole;
• Development of layouts of statistical tables for presenting the results of the report.

Concept and types of grouping

Most often, simple summary summaries do not satisfy the researcher, since they give too general ideas about the phenomenon being studied. Therefore, statistical material is subject to grouping.

Grouping is a method in which the entire study population is divided into groups according to some essential feature. For example, the grouping of enterprises by type of ownership or the grouping of the population by the size of per capita income.

The grouping provides the basis for subsequent summary and data analysis.

The third stage of statistical research is that with the help of generalizing generalizing statistical indicators: relative and average values, indicators of variation and dynamics, economic indices, as well as using tabular and graphical methods, the obtained data is analyzed.

Grouping statistics

Grouping is a method in which the entire studied population is divided into groups according to some essential feature.

The sign on which the grouping is carried out is called a grouping sign or the basis of the grouping.

Grouping is a method of subdividing the considered set of data into groups that are homogeneous according to the characteristics being studied. This is done in order to study the structure of this aggregate or the relationships between the individual elements of this aggregate. Using grouping, you can identify the effect of individual units on average totals. For example, the grouping of workers in a given organization according to the level of labor productivity is used to identify the effect of high labor productivity of individual workers on the average productivity of the organization and to determine the reserve, which lies in increasing the labor productivity of all workers to the level of advanced workers.

As will be shown in the articles of this site, the most common in economic analysis is grouping by factors related to:

• with manpower, i.e. with living labor;
• with the means of labor, i.e. with fixed production assets;
• with objects of labor, i.e. with material resources.

These three groups of factors influence the volume of products manufactured by this organization.

Types of groupings

The choice of the grouping attribute depends on the purpose of the grouping and the preliminary economic analysis of the phenomenon.

Depending on the degree of complexity of the mass phenomenon and the tasks of analysis - groups can be made on one or several grounds:

• If the grouping is made only for one feature, then it is called simple .
• If by two or more signs, then such a group is called a complex or combination .

Depending on the tasks to be solved, there are typological, structural and analytical groups:

• Typological grouping - is a division of the studied population into homogeneous groups. (grouping of enterprises by ownership)
• Structural grouping is a grouping in which a homogeneous aggregate is divided into groups that characterize its structure according to some varying trait. (grouping of the population by income level). An analysis of the statistical data of structural groupings taken over a number of periods shows a change in the structure of the phenomena studied, that is, structural changes.
• Analytical (factor) group - allows you to identify the relationship between the studied phenomena and their symptoms. (grouping of banks according to the amount of share capital, assets and balance sheet profit)

In the process of conducting economic analysis, as a rule, two main types of groupings are used: structural and analytical .

Structural groupings are used to study the composition and structure of the totality of data, as well as to study the changes in this set that take place in accordance with the selected changing feature.

Analytical grouping is used to study the mutual relationships that exist between the indicators characterizing the considered set of data. Under these conditions, one of the indicators is generalizing, productive, and other indicators are considered as factors affecting the generalizing indicator.

Principles of grouping

1. The choice of grouping feature

Depending on the type of grouping characteristics, groups are distinguished according to quantitative and qualitative (attributive) characteristics.

2. Determination of the number of groups:

If at the basis of the grouping there is an attribute (quality) attribute, then the number of groups is equal to the number of values ​​of this attribute.

If the basis of the grouping is a quantitative trait, then the number of groups is determined by the Sturgess formula :

• - number of groups
• - the number of units in the population

We get the following relationship:

	15-24	25-44	45-89	90-179	180-359	360-719
	five	6	7	eight	9	ten

3. Select grouping interval:

The grouping interval is the value of a varying attribute that lies within certain limits. The lower limit of the interval is the value of the smallest attribute in the interval. The upper limit is the largest value in the interval.

The interval is the difference between the upper and lower bounds.

Intervals of groupings can be equal and unequal.
Equal intervals are used in cases where the value of a quantitative trait within a population varies uniformly.

The value of equal intervals is determined by the formula:

• - interval value
• - the maximum value of the trait in the aggregate
• - the minimum value of the trait in the aggregate
• - number of groups

Interval rounding rules:

• If the interval has one BEFORE the comma, then the resulting value is rounded to tenths (0.88 = 0.9; 8.715 = 8.7)
• If the interval has two digits to the comma, then the resulting value is rounded to whole numbers (11.11 = 11; 29.98 = 30)
• If the interval is three, four or more significant number, then the interval is a multiple of 50 or 100

Intervals are open and closed. Closed is an interval in which there are both lower and upper bounds, otherwise the interval is considered open. When solving problems, the unknown boundary of the open interval is determined by the size of the interval adjacent to it.

Classification

From the groupings should be distinguished classification. Classification is the basis of groupings.

Classification refers to the systematic distribution of phenomena and objects into specific groups, classes, and discharges based on their similarities and differences. A distinctive feature of the classification is that it is based on a qualitative sign .

An example . Distribution of enterprises in the region by the value of retail turnover in the current year.

If the number of groups is not specified in advance then to determine the number of groups, you can use the Sturgess formula:

Where - The number of units in the population.

The interval is determined by the following formula:

The results will be presented in tabular form.

Secondary grouping

In practice, it is sometimes necessary to use the already existing groupings, which may be incomparable due to the unequal limits of the intervals or the different number of groups allocated. To bring such groups to a comparable form, the method of secondary grouping is used.

Secondary grouping is the formation of new groups based on the previously produced grouping.

In the secondary grouping, two methods are used to form new groups:

• The first method is to strengthen the initial intervals. This is the most simple and common method of secondary grouping.
• The second method is called the method of fractional rearrangement and consists in the fact that for each group a certain share of aggregate units is assigned.

Example 1

There is a grouping of employees of two departments of one of the banks according to the size of the monthly salary.

Group number	Currency management		Credit management
	Salary thousand roubles.	Number of employees Cove, people	Salary thousand roubles.	Number of employees, people
one	to 10	five	up to 15	2
2	10-30	20	15-20	five
3	30-50	60	20-30	ten
four	50-100	180	30-40	35
five	100-150	40	40-50	100
6	150 or more	15	50-100	120
7			100-200	78
Total		320		350

These groups of employees are incomparable, since in these groups there are different grouping intervals and a different number of educated groups.

We will produce a secondary grouping by the method of enlarging the intervals:

Group number	Salary thousand roubles.	Currency management		Credit management
		Number of employees		Number of employees
		People	In% to the total	People	In% to the total
one	up to 30	25	7.81	17	4.85
2	30-50	60	18.75	135	38.57
3	50-100	180	56.25	120	34.29
four	100-150	55	17.19	78	22.29
Total		320	100.00	350	100.00

In the case of secondary grouping using the method of share regrouping, we establish new intervals for the distribution of workers by the size of the monthly salary, while at each interval we fix a certain share of the aggregate units:

Group number	Salary thousand roubles.	Currency management		Credit management
		Number of employees		Number of employees
		People	In% to the total	People	In% to the total
one	up to 20	15	4.69	7	2.00
2	20-40	40	12.5	45	12.86
3	40-50	thirty	9.37	100	28,57
four	50-100	180	56.25	120	34.29
five	100-150	40	12.50	39	11.14
6	150 or more	15	4.69	39	11.14
Total		320	100.00	350	100.00