Introduction to Statistics in Economics
Statistics, originating from terms meaning 'state' or 'political data', is vital for describing and analyzing economic activities such as consumption, production, and distribution. It involves systematic data collection, presentation, analysis, and interpretation to support effective economic planning and policy formulation. For a foundational overview, see Introduction to Statistics: Understanding Populations, Samples, and Data Collection.
Definitions and Characteristics
- Statistics (Singular): The science of collecting, analyzing, presenting, and interpreting data.
- Statistics (Plural): Numerical statements of facts influenced by multiple causes, systematically collected for specific purposes.
Key characteristics include reliance on aggregated numerical data affected by various factors, systematic data collection procedures, and the importance of clear, predefined objectives.
Limitations of Statistics
- Applicable only to quantitatively measurable phenomena.
- Inability to analyze isolated events or individual objects.
- Statistical laws provide approximate, probabilistic conclusions.
- Requires expertise to avoid misuse and misinterpretation.
Statistics Across Disciplines
- Economic Planning: Understanding issues such as unemployment and production levels.
- Commerce: Studying income, investment, and profits for national income compilation.
- Healthcare: Managing hospital operations efficiently.
- Production: Analyzing consumer preferences to optimize manufacturing.
Types of Statistics
- Descriptive Statistics: Summarizing and presenting data.
- Inferential Statistics: Making generalizations about populations based on sampled data.
Data Types
- Qualitative Data: Non-numeric characteristics (e.g., religion, marital status).
- Quantitative Data: Numeric features; subdivided into:
- Discrete: Countable values (e.g., number of students).
- Continuous: Measurable over a range (e.g., age, calorie intake).
Scales of Measurement
- Nominal: Identity only (e.g., gender, blood group).
- Ordinal: Identity and magnitude (e.g., academic grades).
- Interval: Identity, magnitude, and equal intervals (e.g., temperature in Fahrenheit).
- Ratio: All properties including absolute zero (e.g., weight).
Population and Data Sources
- Population: The total set of elements under study, which may be finite or infinite.
- Primary Data: Collected firsthand by researchers.
- Secondary Data: Collected and processed by other agencies.
Census vs. Sample Survey
- Census: Complete enumeration of every population element; costly and time-consuming.
- Sample Survey: Data collected from representative subsets; more economical and practical, especially for large or infinite populations.
Data Collection Methods
- Personal Interview: Face-to-face with respondents; accurate but expensive.
- Indirect Oral Interview: Uses third-party informants; simple but potentially biased.
- Agencies/Correspondents: Local agents collect regular data; economical but may lack accuracy.
- Mail Questionnaire: Cost-effective and allows thoughtful responses; limited by literacy and response rates.
- Telephonic Interview: Faster and cheaper; accessibility may vary.
- Enumerator Schedules: Useful for illiterate respondents; requires trained enumerators and is time-consuming.
Designing Questionnaires
- Keep questionnaires concise and clear.
- Use simple language and logical question order.
- Avoid ambiguous, leading, or double-negative questions.
- Employ closed-ended questions for uniformity or open-ended for detailed responses.
- Conduct pilot surveys to test and refine instruments.
Conclusion
Understanding statistical methods, data types, measurement scales, and survey methods equips learners with foundational tools to analyze economic data effectively. Careful application ensures accurate insights critical to addressing socio-economic challenges and informing decision-making processes. For further insights into practical research methods and ethical considerations, the Comprehensive Guide to Psychological Research Methods and Ethics offers valuable complementary knowledge.
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[Music] hello Learners welcome to the course statistical methods for economics module
one in this session we will discuss the concepts related to understanding how knowledge of Statistics can help in
describing consumption production and distribution learn about some uses of Statistics in the understanding of
economic activities understand the meaning and purpose of data collection distinguish
between primary and secondary sources know the mode of collection of data distinguish between sensors and Sample
surveys let us begin our learning with a brief introduction to
statistics the term statistics appears to be derived from the Latin word status or the Italian word statista or the
German word statistic or French word statistic all these words means political State because in early years
statistics meant collection of facts about the state or the fiscal policies statistics was known as the science of
Kings or science of statecraft many researchers and scientists have defined statistics in
different ways we shall discuss the singular and plural sense of them in singular sense statistics is the science
of collection of data presentation analysis and interpretation statistics as numerical
statement of facts is the plural sense of defining statistics statistics may be defined as
the aggregate of facts affected to marked extent by multiplicity of causes numerically expressed enumerated or
estimated according to a reasonable standard of accuracy collected in a systematic manner for a predetermined
purpose and placed in relation to each other this definition is given by Professor Horus
secretist now let us look into the characteristics of Statistics simple or isolated items
cannot be termed as statistics unless they are a part of aggregate of facts relating to any field of
inquiry numerical figures should be affected by multiplicity of factors however statistical techniques have been
devised to study the The Joint effect of a number of factors on a single item or the isolated item of a single Factor on
the given item provided the effect of each of the factors can be measured quantitatively only numerical data
constitute statistics the numerical data pertaining to any field of inquiry can be obtained
by completely enumerating the underlying population in such a case data will be exact and accurate however if complete
enumeration is not possible then the data are estimated by using the powerful technique of sampling and estimation
Theory the data must be collected in a very systematic manner thus for any social economic survey a proper schedule
depending on the object of inquiry should be prepared and trained Personnel should be used to collect the data by
interviewing the persons it is of atmost importance to Define in clear and concrete terms the
objectives or the purpose of the inquiry and the data should be collected keeping in view these
objectives from the Practical point of view for statistical analysis the data should be comparable
every discipline has some limitations statistics for that matter is not an
exceptional we now look onto some limitations of Statistics statistics are numerical
statements in any Department of inquiry placed in relation to each other since statistics is a science dealing with a
set of numerical data it can be applied to the study of only that phenomenon which can be measured
quantitatively statistics methods do not give any recognition to an object or a person or an event in
isolation this is a serious limitation of Statistics hence statistics is confined only to those problems where
group statistics are to be studied since the statistical laws are probabilistic in nature nature
inferences based on them are only approximate and not exact like the inferences based on mathematical
laws the most significant limitation of Statistics is that it must be used by expert statistical methods are the most
dangerous tools in the hands of the inexpert as they can misuse the information now let us know about how
statistics is connected with various disciplines statistics in planning the problems like over production under
production unemployment cost of living literacy Etc which are the major characteristics of developing countries
can be understood with the help of statistical data National sample survey office a central government office
collects statistical data for use in planning in India economic planning is done to
achieve predetermined objectives and goals they have to be expressed in quantitative
terms statistics in Commerce statistics plays a very important role in the development of Commerce the statistical
data on some macro variables like income investment profits Etc are used for the compilation of national income economic
barometer are developed through statistical methods and the concepts are used all over the
world statistics in hospitals hospitals use the techniques to manage patient appointment schedule procedures rotation
of Staff existing to maximize the profit and optimize the time statistics in production statistics
iCal analysis helps in identifying how consumer preferences change with the seasons and this AIDS in planning
production based on those preferences by taking into account changing preferences and demand manufacturing companies can
exhaust all opportunities throughout the year statistics in economics statistics play a major role in economics
statistics helps in the study of Market structure and understand the different economic problems after a better
understanding of the economic problems statistics also help in solving those issues by formulating appropriate
economic policies at this stage you are probably ready to know more about statistics and
what subject statistics is all about isn't it then we shall start by understanding the important Concepts
used in statistics statistics is broadly classified as descriptive and
inferential statistics descriptive statistics refers to data analysis that aids in the
meaningful description presentation or summarization of data whereas inferential statistics are approaches
and methods that allow us to make generalization about populations from which samples
were collected data is an important aspect of Statistics data is classified as
qualitative and quantitative where quantitative data is further classified as discrete and
continuous the values or information that we have gathered are referred to as data a qualitative variable is a
characteristic of people or objects that cannot be naturally expressed in a numerical value certain examples of a
qualitative variables are religion pain marial status a quantitative variable is a
feature of persons or things that can be numerically expressed some examples of quantitative variables are height
weight income a discrete variable is a random variable that can take on a finite
number of values or countable infinite number of values the variables like number of people working in a family
number of students in a class can be treated as a discrete data a continuous variable is a random
variable that can take on a range of Val values on a continum the variables such as age of an employee calorie intake can
be considered as a continuous variable scales of measurement the variables are
categorized using the measurement scales the most popular scales used in the statistical analysis are nominal ordinal
interval and ratio the understanding of these SC scales of measurements becomes easier
through the properties of the measurement scales the first property is identity
which means that each measurement scale value has an unique identity and distinct
meaning the second property is magnitude the magnitude refers to the order in which the values of the measurement
scale are related to one another that is some values are l larger and some values are
smaller the third property is equal width under this property the scale units are all the same length along the
scale this means that the difference between 3 and 4 is equal to the difference between 20 and 21 the fourth
and the last property is absolute zero which actually indicates that there is no values Bel below the scale true 0
point now we shall look into the classification of the levels of measurement based on the properties
discussed the nominal scale of measurement is the most fundamental scale only the identity property of
measurement is Satisfied by the nominal scale of measurement under this scale the
variables are given number values that reflect a descriptive category but they have no inherent numerical
value in terms of magnitude some examples for the nominal scale of measurement are gender religion
blood group The ordered nominal scale of measurement is the ordinal scale it is
the second level of measurement the ordinal scale of measurement has the property of both identity and
magnitude every value on the ordinal scale has a distinct meaning and is related to every other value on the
scale in an ordinal manner the grades of students in a class like A+ a B+ B Etc can be considered as
an ordinal scale the interval scale of measurement is the third level of measurement the
interval scale has the properties of identity magnitude and equal width we can use an interval scale to determine
not only whether certain values are larger or smaller but also how much larger or smaller they are temperature
is an example for the interval scale of measurement temperature is measured using the Fahrenheit scale the
difference between 30 and 40° fahit is equivalent to the difference between 50 and 60° fah since the scale is made up
of identical temperature units if the temperature is 50° fah on Monday and 60° Fahrenheit on Tuesday we
will know that Tuesday was not simply hotter but it was 10° hotter than Monday the highest level of measuring is the
ratio scale of measurement under the ratio scale all the four properties identity magnitude equal width and the
absolute zero properties are satisfied example the weight of an object each weight scale has unique
meaning weights can be ordered units along the weight scale are equal to one another and there is an absolute
zero collection of data population a population is a collection of all
things of interest that share one or more common traits the population can further be classified as infinite and
finite population an infinite population is defined as a population with an infinite number of
elements the number of trees in a forest the number of insects born can be considered as example examples of
infinite population a finite population is defined as a population with a finite
number of elements the number of students in a college the number of ERS in a ward Etc are examples of finite
population statistical data can be obtained from two sources the researcher May collect the
data by conducting an in quiry such data are called primary data as they are based on firsthand
information if the data have been collected and processed by some other agency they are called secondary data
the secondary data can be obtained from published sources such as Government reports documents newspapers books
written by Economist or from any other source now let us try to understand about
sensors and Sample surveys a survey which includes every element of the population is known as
sensus or the method of complete enumeration a survey carried on the representative part of the population
selected for the purpose of the study is called as a sample survey let us see the comparison between
the sensus method and the sample survey method under the sensus method each and every unit of the population are
enumerated whereas in the sample survey method a few representative units of the population is done the non-sampling
errors are likely to be more in sensus enumeration and the sampling errors would be more in Sample
survey the sensus and enumeration method is not scientific whereas the sample survey method is more scientific the
sensus enumeration method is impossible if the population is infinite however the sample survey
method is more suitable if the population is infinite the sensus method requires more
money time and labor but sample survey method is more economical if the destructive units are
involved in the study then census method cannot be used whereas sample survey is the only method which can be used the
common method of the data collection is through surveys a survey is a method of gathering information from the
individuals the purpose of the survey is to collect data the most common type of instrument strent used in surveys is the
questioner or an interview schedule the questioner is either self administered by the respondent or
administered by the researcher or trained investigator while preparing the
questioner the following points should be borne in mind the questioner should not be too long the number of questions
should be as minimum as possible the questioner should be easy to understand that is avoid using ambiguous
and difficult words the questions should be arranged in an order such that the person answering should feel
comfortable the questioner should start from the general questions and proceed to more specific
ones the questions should be precise and clear the questions should not be ambiguous
they should enable the respondents to answer quickly correctly and clearly the questions should not use
double negatives the questions starting with wouldn't you or don't you should be avoided as they may lead to biased
responses the question should not be a leading question which gives a clue about how the respondent should
answer the question should not indicate alternatives to the answer the questionnaire May consist of
closed ended or open-ended questions in the closed ended type of questioner the options are provided and the respondents
are directed to select the responses from the options provided whereas the open-ended question allow for more
individualized responses but they are difficult to interpret and hard to score since there
are a lot of variations in the responses once the questioner is ready it is advisable to try the questioner
with a small group of people which is known as pilot survey or pre- testing of the questioner the pilot survey helps in
providing a preliminary idea about the survey it helps in pre- testing of the question year so as to know the
shortcomings and drawbacks of the questions pilot survey also helps in assessing the suitability of questions
Clarity of instructions performance of enumerators and the cost and time involved in the actual
survey the data can be collected in different methods we shall discuss about some common modes of data
collection personal interview this method is used when the researcher has access to all the
members the researcher conducts face-to-face interviews with the respondents some advantages of the
personal interview method are true and reliable data can be collected in this method the degree of
accuracy can be high uniformity and homogeneity can be maintained some disadvantages of this
method are when the area is large this method is not suitable this method is expensive and
time consuming presence of the researcher May inhibit respondents from saying what
they really think indirect oral interview this method is applicable if
the informant is not ready to give the information in this method the investigator approaches the third
parties who are in touch with the informant some merits of indirect oral interview are this method is simple and
convenient this method is free from bias and Prejudice of the respondent some of the demerits of this
method are interview with an improper person will spoil the result witness May Supply biased information according to
their interests information through agencies under this method local agents
or correspondents will be appointed they collect the information and transmit it to the
investigator agents who collects the information from the informants are generally called
correspondents the advantages of the data collected by the method of information through a gencies are this
method is more economical it is useful where information is needed regularly some of the disadvantages in
this method are the information may be biased it is difficult to maintain the degree of accuracy and
uniformity ma questionnaire when the data in a survey are collected by mail the questionnaire is sent to each
individual by mail with a request to complete and return it by a given date the merits of the mailed question year
are this is most economical method it allows the researcher to have access to people in remote areas also it does not
allow influencing of the respondents by the interviewer it also permits the respondents to take sufficient time to
give thoughtful answers to the questions some of the demerits of the maed questioner method are this method cannot
be used if the informants are illiterates there is less opportunity to provide assistant in clarifying
instructions so there is a possibility of misunderstanding the questions in this method many informants
will not respond in the case of non response followup work is essential telephonic interviews in a telephone
interview the investigator asks question over the telephone however this method also has
certain advantages and disadvantages the advantages of this method is telephone interviews are that
they are cheaper than personal interviews and can be conducted in shorter time they allow the researcher
to assist the respondent by clarifying the questions the accessibility of the people over telephone may be an
disadvantage of this method schedules sent through enumerators schedules is a list of
questions where the facts will be supplied by informants and recorded by enumerator the merits under this method
are it is very useful where the informants are illiterates in this method the rate of
non response is less however the demerits in this method include that the training of enumerators is
essential this method is time consuming personal bias of the enumerators may lead to failure of
inquiry let us summarize the concepts discussed in the session we discussed about how the subject statistics have
been developed in its w application in different fields with relevant examples before applying any tools of
Statistics as a precautionary measure we should check with the characteristics and limitations of
Statistics the Learners are now familiar with the important terms associated with Statistics the scales of measurement
such as nominal ordinal interval and ratio scales are discussed in detail also how the sources of data the
importance and difference between sensus and Sample survey is noted the tool for data collection and
the guidelines for preparing the questioner is discussed the various methods of data collection along with
its merits and demerits are discussed thank you [Music]
[Music] s
Descriptive statistics summarize and present collected economic data, such as average income or unemployment rates, providing a clear snapshot of economic conditions. Inferential statistics go further by using sample data to make generalizations or predictions about the entire population, helping economists draw conclusions when it’s impractical to study everyone directly.
Qualitative data describe non-numeric characteristics like religion or marital status, offering insights into economic behaviors and social factors. Quantitative data involve numeric values, which can be discrete (countable, like number of employees) or continuous (measurable over a range, like income levels), enabling precise economic measurement and statistical analysis.
Sample surveys are more economical and practical, especially when studying large or infinite populations, as they collect data from representative subsets rather than every member. This approach saves time and resources while still allowing reliable inferences about the whole population when designed carefully.
Questionnaires should be clear, concise, and organized logically with simple language to avoid confusion. Avoid ambiguous, leading, or double-negative questions, and choose between closed-ended questions for uniform responses or open-ended for richer detail. Pilot testing the questionnaire helps identify and fix issues before full deployment.
Statistics can only analyze quantitatively measurable phenomena and cannot effectively address isolated events or individual cases. Its laws provide approximate, probabilistic conclusions rather than exact results, requiring expertise to avoid misuse or misinterpretation, especially in complex economic contexts.
Scales of measurement determine how data can be categorized and analyzed, affecting the statistical methods applied. The four common types are nominal (identity only, e.g., gender), ordinal (identity and order, e.g., grades), interval (equal intervals, e.g., temperature), and ratio (includes absolute zero, e.g., weight). Understanding these is crucial for accurate interpretation.
Common methods include personal interviews (accurate but costly), indirect oral interviews (simple but may be biased), agency-collected data (economical but variable accuracy), mail questionnaires (cost-effective but dependent on literacy), telephonic interviews (fast and cheaper), and enumerator schedules (useful for illiterate respondents but time-consuming). Choice depends on factors like cost, accuracy needed, population accessibility, and literacy levels.
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