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What Is Sampling?
Sampling is a process used in statistical analysis in which a predetermined number of
observations are taken from a larger population. The methodology used to sample from a larger
population depends on the type of analysis being performed, but it may include simple random
sampling or systematic sampling.
Concept of Sampling And its Techniques
After the research is conducted ,the data collected from it is then analysed. The analysis of the
data is done by the technique of sampling. Before understanding the process of sampling there
are some terms related to it that should be known like :
Sampling Element– it is the unit about which the information needs to be collected by the
researchers for the purpose of analysis and then the action is taken for it eg: respondents,
families, organizations, etc.
Population– it is the set of all the potential respondents in a particular geographical region.
Sampling and its techniques
Sampling frame– It is the subset of the population that is being targeted and from where the
researchers can select the sample data for carrying out the research process.
Sampling Fundamentals in Research Methodology
Before we talk sampling fundamentals and uses of sampling, it seems appropriate that we should
be familiar with some fundamental definitions concerning sampling concepts and principles.
1. Universe/Population: From a statistical point of view, the term ‘Universe’refers to the
total of the items or units in any field of inquiry, whereas the term ‘population’ refers to
the total of items about which information is desired. The attributes that are the object of
study are referred to as characteristics and the units possessing them are called as
elementary units. The aggregate of such units is generally described as population. Thus,
all units in any field of inquiry constitute universe and all elementary units (on the basis
of one characteristic or more) constitute population. Quit often, we do not find any
difference between population and universe, and as such the two terms are taken as
interchangeable. However, a researcher must necessarily define these terms precisely.
The population or universe can be finite or infinite. The population is said to be finite if it
consists of a fixed number of elements so that it is possible to enumerate it in its totality.
For instance, the population of a city, the number of workers in a factory are examples of
finite populations. The symbol ‘N’ is generally used to indicate how many elements (or
items) are there in case of a finite population. An infinite population is that population in
which it is theoretically impossible to observe all the elements. Thus, in an infinite
population the number of items is infinite i.e., we cannot have any idea about the total
number of items. The number of stars in a sky, possible rolls of a pair of dice are
examples of infinite population. One should remember that no truly infinite population of
physical objects does actually exist in spite of the fact that many such populations appear
to be very large. From a practical consideration, we then use the term infinite population
for a population that cannot be enumerated in a reasonable period of time. This way we
use the theoretical concept of infinite population as an approximation of a very large
finite population.
2. Sampling frame: The elementary units or the group or cluster of such units may form
the basis of sampling process in which case they are called as sampling units. A list
containing all such sampling units is known as sampling frame. Thus sampling frame
consists of a list of items from which the sample is to be drawn. If the population is finite
and the time frame is in the present or past, then it is possibe for the frame to be identical
with the population. In most cases they are not identical because it is often impossible to
draw a sample directly from population. As such this frame is either constructed by a
researcher for the purpose of his study or may consist of some existing list of the
population. For instance, one can use telephone directory as a frame for conducting
opinion survey in a city. Whatever the frame may be, it should be a good representative
of the population.
3. Sampling design: A sample design is a definite plan for obtaining a sample from the
sampling frame. It refers to the technique or the procedure the researcher would adopt in
selecting some sampling units from which inferences about the population is drawn.
Sampling design is determined before any data are collected
4. Statisitc(s) and parameter(s): A statistic is a characteristic of a sample, whereas a
parameter is a characteristic of a population. Thus, when we work out certain measures
such as mean, median, mode or the like ones from samples, then they are called
statistic(s) for they describe the characteristics of a sample. But when such measures
describe the characteristics of a population, they are known as parameter(s). For instance,
the population mean bmg is a parameter,whereas the sample mean ( X ) is a statistic. To
obtain the estimate of a parameter from a statistic constitutes the prime objective of
sampling analysis.
5. Sampling error: Sample surveys do imply the study of a small portion of the population
and as such there would naturally be a certain amount of inaccuracy in the information
collected. This inaccuracy may be termed as sampling error or error variance. In other
words, sampling errors are those errors which arise on account of sampling and they
generally happen to be random variations (in case of random sampling) in the sample
estimates around the true population values. The meaning of sampling error can be easily
understood from the following diagram:
Sampling error = Frame error + Chance error + Response error(If we add measurement
error or the non-sampling error to sampling error, we get total error).
Sampling errors occur randomly and are equally likely to be in either direction. The
magnitude of the sampling error depends upon the nature of the universe; the more
homogeneous the universe, the smaller the sampling error. Sampling error is inversely
related to the size of the sample i.e., sampling error decreases as the sample size increases
and vice-versa. A measure of the random sampling error can be calculated for a given
sample design and size and this measure is often called the precision of the sampling
plan. Sampling error is usually worked out as the product of the critical value at a certain
level of significance and the standard error.
As opposed to sampling errors, we may have non-sampling errors which may creep in
during the process of collecting actual information and such errors occur in all surveys
whether census or sample. We have no way to measure non-sampling errors.
6. Precision: Precision is the range within which the population average (or other
parameter) will lie in accordance with the reliability specified in the confidence level as a
percentage of the estimate ± or as a numerical quantity. For instance, if the estimate is Rs
4000 and the precision desired is ± 4%, then the true value will be no less than Rs 3840
and no more than Rs 4160. This is the range (Rs 3840 to Rs 4160) within which the true
answer should lie. But if we desire that the estimate should not deviate from the actual
value by more than Rs 200 in either direction, in that case the range would be Rs 3800 to
Rs 4200.
7. Confidence level and significance level: The confidence level or reliability is the
expected percentage of times that the actual value will fall within the stated precision
limits. Thus, if we take a confidence level of 95%, then we mean that there are 95
chances in 100 (or .95 in 1) that the sample results represent the true condition of the
population within a specified precision range against 5 chances in 100 (or .05 in 1) that it
does not. Precision is the range within which the answer may vary and still be acceptable;
confidence level indicates the likelihood that the answer will fall within that range, and
the significance level indicates the likelihood that the answer will fall outside that range.
We can always remember that if the confidence level is 95%, then the significance level
will be (100 – 95) i.e., 5%; if the confidence level is 99%, the significance level is (100 –
99) i.e., 1%, and so on. We should also remember that the area of normal curve within
precision limits for the specified confidence level constitute the acceptance region and the
area of the curve outside these limits in either direction constitutes the rejection regions.*
8. Sampling distribution: We are often concerned with sampling distribution in sampling
analysis. If we take certain number of samples and for each sample compute various
statistical measures such as mean, standard deviation, etc., then we can find that each
sample may give its own value for the statistic under consideration. All such values of a
particular statistic, say mean, together with their relative frequencies will constitute the
sampling distribution of the particular statistic, say mean. Accordingly, we can have
sampling distribution of mean, or the sampling distribution of standard deviation or the
sampling distribution of any other statistical measure. It may be noted that each item in a
sampling distribution is a particular statistic of a sample. The sampling distribution tends
quite closer to the normal distribution if the number of samples is large. The significance
of sampling distribution follows from the fact that the mean of a sampling distribution is
the same as the mean of the universe. Thus, the mean of the sampling distribution can be
taken as the mean of the universe.
Needs of sampling in Research Methodology
Sampling is used in practice for a variety of reasons such as:
1. Sampling can save time and money. A sample study is usually less expensive than a
census study and produces results at a relatively faster speed.
2. Sampling may enable more accurate measurements for a sample study is generally
conducted by trained and experienced investigators.
3. Sampling remains the only way when population contains infinitely many members.
4. Sampling remains the only choice when a test involves the destruction of the item under
study.
5. Sampling usually enables to estimate the sampling errors and, thus, assists in obtaining
information concerning some characteristic of the population.

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SAMPLING IN RESEARCH METHODOLOGY

  • 1. What Is Sampling? Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling. Concept of Sampling And its Techniques After the research is conducted ,the data collected from it is then analysed. The analysis of the data is done by the technique of sampling. Before understanding the process of sampling there are some terms related to it that should be known like : Sampling Element– it is the unit about which the information needs to be collected by the researchers for the purpose of analysis and then the action is taken for it eg: respondents, families, organizations, etc. Population– it is the set of all the potential respondents in a particular geographical region. Sampling and its techniques Sampling frame– It is the subset of the population that is being targeted and from where the researchers can select the sample data for carrying out the research process. Sampling Fundamentals in Research Methodology Before we talk sampling fundamentals and uses of sampling, it seems appropriate that we should be familiar with some fundamental definitions concerning sampling concepts and principles. 1. Universe/Population: From a statistical point of view, the term ‘Universe’refers to the total of the items or units in any field of inquiry, whereas the term ‘population’ refers to the total of items about which information is desired. The attributes that are the object of study are referred to as characteristics and the units possessing them are called as elementary units. The aggregate of such units is generally described as population. Thus, all units in any field of inquiry constitute universe and all elementary units (on the basis of one characteristic or more) constitute population. Quit often, we do not find any difference between population and universe, and as such the two terms are taken as interchangeable. However, a researcher must necessarily define these terms precisely. The population or universe can be finite or infinite. The population is said to be finite if it consists of a fixed number of elements so that it is possible to enumerate it in its totality. For instance, the population of a city, the number of workers in a factory are examples of finite populations. The symbol ‘N’ is generally used to indicate how many elements (or items) are there in case of a finite population. An infinite population is that population in which it is theoretically impossible to observe all the elements. Thus, in an infinite population the number of items is infinite i.e., we cannot have any idea about the total
  • 2. number of items. The number of stars in a sky, possible rolls of a pair of dice are examples of infinite population. One should remember that no truly infinite population of physical objects does actually exist in spite of the fact that many such populations appear to be very large. From a practical consideration, we then use the term infinite population for a population that cannot be enumerated in a reasonable period of time. This way we use the theoretical concept of infinite population as an approximation of a very large finite population. 2. Sampling frame: The elementary units or the group or cluster of such units may form the basis of sampling process in which case they are called as sampling units. A list containing all such sampling units is known as sampling frame. Thus sampling frame consists of a list of items from which the sample is to be drawn. If the population is finite and the time frame is in the present or past, then it is possibe for the frame to be identical with the population. In most cases they are not identical because it is often impossible to draw a sample directly from population. As such this frame is either constructed by a researcher for the purpose of his study or may consist of some existing list of the population. For instance, one can use telephone directory as a frame for conducting opinion survey in a city. Whatever the frame may be, it should be a good representative of the population. 3. Sampling design: A sample design is a definite plan for obtaining a sample from the sampling frame. It refers to the technique or the procedure the researcher would adopt in selecting some sampling units from which inferences about the population is drawn. Sampling design is determined before any data are collected 4. Statisitc(s) and parameter(s): A statistic is a characteristic of a sample, whereas a parameter is a characteristic of a population. Thus, when we work out certain measures such as mean, median, mode or the like ones from samples, then they are called statistic(s) for they describe the characteristics of a sample. But when such measures describe the characteristics of a population, they are known as parameter(s). For instance, the population mean bmg is a parameter,whereas the sample mean ( X ) is a statistic. To obtain the estimate of a parameter from a statistic constitutes the prime objective of sampling analysis. 5. Sampling error: Sample surveys do imply the study of a small portion of the population and as such there would naturally be a certain amount of inaccuracy in the information collected. This inaccuracy may be termed as sampling error or error variance. In other words, sampling errors are those errors which arise on account of sampling and they generally happen to be random variations (in case of random sampling) in the sample estimates around the true population values. The meaning of sampling error can be easily understood from the following diagram:
  • 3. Sampling error = Frame error + Chance error + Response error(If we add measurement error or the non-sampling error to sampling error, we get total error). Sampling errors occur randomly and are equally likely to be in either direction. The magnitude of the sampling error depends upon the nature of the universe; the more homogeneous the universe, the smaller the sampling error. Sampling error is inversely related to the size of the sample i.e., sampling error decreases as the sample size increases and vice-versa. A measure of the random sampling error can be calculated for a given sample design and size and this measure is often called the precision of the sampling plan. Sampling error is usually worked out as the product of the critical value at a certain level of significance and the standard error. As opposed to sampling errors, we may have non-sampling errors which may creep in during the process of collecting actual information and such errors occur in all surveys whether census or sample. We have no way to measure non-sampling errors. 6. Precision: Precision is the range within which the population average (or other parameter) will lie in accordance with the reliability specified in the confidence level as a percentage of the estimate ± or as a numerical quantity. For instance, if the estimate is Rs 4000 and the precision desired is ± 4%, then the true value will be no less than Rs 3840 and no more than Rs 4160. This is the range (Rs 3840 to Rs 4160) within which the true answer should lie. But if we desire that the estimate should not deviate from the actual value by more than Rs 200 in either direction, in that case the range would be Rs 3800 to Rs 4200.
  • 4. 7. Confidence level and significance level: The confidence level or reliability is the expected percentage of times that the actual value will fall within the stated precision limits. Thus, if we take a confidence level of 95%, then we mean that there are 95 chances in 100 (or .95 in 1) that the sample results represent the true condition of the population within a specified precision range against 5 chances in 100 (or .05 in 1) that it does not. Precision is the range within which the answer may vary and still be acceptable; confidence level indicates the likelihood that the answer will fall within that range, and the significance level indicates the likelihood that the answer will fall outside that range. We can always remember that if the confidence level is 95%, then the significance level will be (100 – 95) i.e., 5%; if the confidence level is 99%, the significance level is (100 – 99) i.e., 1%, and so on. We should also remember that the area of normal curve within precision limits for the specified confidence level constitute the acceptance region and the area of the curve outside these limits in either direction constitutes the rejection regions.* 8. Sampling distribution: We are often concerned with sampling distribution in sampling analysis. If we take certain number of samples and for each sample compute various statistical measures such as mean, standard deviation, etc., then we can find that each sample may give its own value for the statistic under consideration. All such values of a particular statistic, say mean, together with their relative frequencies will constitute the sampling distribution of the particular statistic, say mean. Accordingly, we can have sampling distribution of mean, or the sampling distribution of standard deviation or the sampling distribution of any other statistical measure. It may be noted that each item in a sampling distribution is a particular statistic of a sample. The sampling distribution tends quite closer to the normal distribution if the number of samples is large. The significance of sampling distribution follows from the fact that the mean of a sampling distribution is the same as the mean of the universe. Thus, the mean of the sampling distribution can be taken as the mean of the universe. Needs of sampling in Research Methodology Sampling is used in practice for a variety of reasons such as: 1. Sampling can save time and money. A sample study is usually less expensive than a census study and produces results at a relatively faster speed. 2. Sampling may enable more accurate measurements for a sample study is generally conducted by trained and experienced investigators. 3. Sampling remains the only way when population contains infinitely many members. 4. Sampling remains the only choice when a test involves the destruction of the item under study. 5. Sampling usually enables to estimate the sampling errors and, thus, assists in obtaining information concerning some characteristic of the population.