Sampling Methods Final

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    Sampling

    0 Sampling is the strategy of selecting a smaller section of the population that will

    accurately represent the patterns of the target population at large.

    0 In research terms a sample is a group of people, objects, or items that are taken

    from a larger population for measurement.

    0 The sample should be representative of the population to ensure that we can

    generalize the findings from the research sample to the population as a whole.

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    0 Sometimes, the entire population will be sufficiently small, and when the

    researcher includes the entire population in the study. This is called a

    census study

    0 Researchers usually cannot make direct observations of every individual in

    the population they are studying. Instead, they collect data from a subset of

    individuals a sample and use those observations to make inferencesabout the entire population

    0 The researcher's conclusions from

    the sample are mostly applicableto the entire population

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    Purpose Of Sampling

    There would also be difficulties measuring whole populations

    because: -

    0 The large size of many populations

    0 Inaccessibility of some of the population

    0 Destructiveness of the observation

    0 Accuracy in sampling

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    Sampling Process

    Define thepopulation

    Specify thesampling

    frame

    Specify thesamplingunit

    Specifysamplingmethod

    Determinesamplingsize

    Specifysamplingplan

    Select thesample

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    Sampling Methods

    SamplingMethods

    Non-ProbabilitySampling

    ProbabilitySampling

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    Non Probability Sampling

    0

    It relies on personal judgment of the researcher rather than the chance toselect the sample

    0 The researcher can decide which element to include

    0 Any statistical method cannot be used to draw inference from this sample

    0 It becomes essential in some situations

    0Eg. Suppose we have to take a small sample from a big heap of coal. Wecannot make a list of all the pieces of coal. We have to use our judgment

    0 The non- probability sampling is also called non-random sampling

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    Divided Into

    Non-ProbabilitySampling

    ConvenienceSampling

    JudgmentalSampling

    Quota SamplingSnowfallSampling

    PurposiveSampling

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    Convenience Sampling

    0It is a method of choosing subjects which are available or easyto find. As the name implies, the sample is selected becausethey are convenient

    0 The selection of the sample is left to the researcher

    0 It is used in exploratory research where the researcher isinterested in getting an inexpensive approximation of thetruth

    0 This nonprobability method is often used during preliminaryresearch efforts to get a gross estimate of the results, withoutincurring the cost or time required to select a random sample

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    0 Advantages:

    Least expensive and least time consuming

    Sampling units are accessible and easy to measure

    0 Disadvantages:

    It contains sample errors and there is a sampling bias andthat the sample is not representative of the entire population

    0 Examples:

    Use of students, church groups and members of anorganization

    Mall intercept interviews without qualifying the respondentsTear out questionnaire included in magazines

    People on the street interviews

    Choosing five people from a class or choosing the first five

    names from the list of patients

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    Judgmental Sampling

    0The elements are purposively selected based on the judgmentof the researcher

    0 The sample is drawn by a judgmental selection process

    0 The process involves nothing but purposely handpickingindividuals from the population based on the authoritys orthe researchers knowledge and judgment.

    0 It is usually used when a limited number of individualspossess the trait of interest. It is also possible to usejudgmental sampling if the researcher knows a reliableprofessional or authority that he thinks is capable ofassembling a representative sample

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    0 Advantages:

    It is low cost, convenient and quick

    The value depends on the researchers judgment

    Useful when broad population inferences are not required

    0 Disadvantages:

    Sampling bias is there

    The judgment of the researcher might not be reliable

    0 Examples:

    When a research has to be done on bicycle riding habits. Ajudgment sample can be taken in which schools and parks canbe the locations for research.

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    Quota Sampling

    0 First Control categories or quotas are developed

    Second Elements are selected based on convenience or

    judgment

    0

    The samples are selected in such a way that the interestparameters represented in the sample are in the same

    proportions as they are in the universe / population

    0 Such control measures are taken to reduce the sampling errors

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    0 Advantages:

    Sampling error is reduced

    Samples selected are on criteria relevant to the populationQuick and Easy to relate

    0 Disadvantages:

    Incorrect information might lead to incorrect selection of thesample

    Other sampling errors might be there which might not be

    determined

    0 Examples:

    Quota sample on the test of a flavored tea, the parameters are

    ethnic background, income bracket, age group and area

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    Snowball Sampling0 A researcher identifies one member of some population of interest,

    speaks to him/her, then asks that person to identify others in thepopulation that the researcher might speak to. This person is thenasked to refer the researcher to yet another person, and so on.

    0 It is very good for cases where members of a special population aredifficult to locate.

    0 Eg: If you want to look at pattern of recruitment to a communityorganization over time, you might begin by interviewing fairly recentrecruits, asking them who introduced themto the group.

    Then interview the people named,asking them who recruited them to thegroup.

    0 A researcher is not sure who is inthe sample

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    Purposive Sampling

    0 Subjects selected on the basis of specific characteristics or

    qualities

    0 Subjects selected for a good reason tied to purposes of

    research

    0 Eg. Users of a particular technology, Young mothers with

    small children, members of a fan club etc.

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    Probability Sampling

    0 Sampling units are selected by chance

    0 The human mind has no control on the selection or non-selection of the units for the sample

    0 Every unit of the population has known non-zero probabilityof being selected for the sample

    0 The probability of selection may be equal or unequal but it ispossible to specify the probability

    0 The advantage of probability sampling is that sampling errorcan be calculated

    0 The probability sampling is also called the random sampling

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    Divided Into.

    ProbabilitySampling

    Simple RandomSampling

    SystematicSampling

    StratifiedSampling

    ClusterSampling

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    Simple Random Sampling

    0 Random sampling is generally the best and simplest way todraw a sample from a population

    0 With random sampling, every member of the population hasan equal opportunity to be included in the sample

    0 Every element is selected independently

    0 It is equivalent to a lottery system

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    0 Advantages:

    Easy to understand

    0 Disadvantages:

    a) Such a sampling frame is difficult to be madeb) Can be spread over a large area which makes it costly

    c) Larger errors

    d) Sample may or may not be relevant

    0 Examples:

    Selecting any name from a list

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    Systematic Sampling0 This method of sampling is at first glance very different from SRS.

    0 In practice, it is a variant of simple random sampling that involves some

    listing of elements - every nth element of list is then drawn for inclusion in

    the sample

    0 It starts from a random point

    0 The nth element = Population Size

    ---------------------Sample Size

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    0 Advantages:Less costly and easier than SRSIt can be used without the knowledge of the elements

    0 Disadvantages:

    0 Sampling errors can take place. A wrong sample might be selected

    0 Examples:

    Say you have a list of 10,000 people and you want a sample of 1,000.

    Creating such a sample includes three steps:

    Divide number of cases in the population by the desired sample size.

    In this example, dividing 10,000 by 1,000 gives a value of 10.Select a random number between one and the value attained in Step

    1. In this example, we choose a number between 1 and 10 - say wepick 7.

    Starting with case number chosen in Step 2, take every tenth record

    (7, 17, 27, etc.).

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    Stratified Sampling

    0 Population is divided into homogenous subsets before sampling, thendrawing a random sample within each subset

    0 A stratum is a subset of the population that share at least one common

    characteristic. Examples of stratums might be males and females, ormanagers and non-managers

    0 The researcher first identifies the relevant stratums and their actual

    representation in the population. Random sampling is then used to select a

    sufficient number of subjects from each stratum

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    0 Advantages:

    0 Reduces sampling errors

    0 Disadvantages:

    0 Limits the area of approach

    0 Examples:

    Suppose a study has to be made on spending according to age. Then, the

    population will be divided into 18-34, 35-49, 50-64, 65 and above and then

    separate samples are drawn from each group

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    Cluster Sampling

    0 The target population is divided into mutually exclusive and collectivelyexhaustive subpopulation called clusters

    0 Then a random sample of clusters is selected. For each cluster, either all the

    elements are included or a sample of elements is drawn

    0 If all the elements in each selected cluster are included in the sample, the

    procedure is called one stage cluster sampling

    0 If a sample of element is drawn probabilistically from each selected cluster,the procedure is called two way cluster sampling

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    0 Advantages:

    0 Low population heterogeneity/ high population homogeneity

    0 Low cost

    0Disadvantages:Sampling error

    0 Examples:

    Suppose we consider a sample of 100 households to be selected fora personal interview from a city. The city would be divided intoblocks and 10 households from 10 selected blocks would beinterviewed.

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    Non sampling error

    0 Sampling error arises from inaccurate sampling frame, dataclarification or verification methods, reporting or coding ofdata, and/or specifications

    0 It may also arise from poorly designed survey questionnaires,improper sample allocation and selection procedures, and/orerrors in estimation methodology

    0 Even if we study the population units under ideal conditions,

    there may still be the difference between the observed value ofthe population mean and the true value of the population mean

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    Contd..

    0

    1. The units of the population may not be definedproperly

    2. There may be poor response on the part ofrespondents

    3. The data may not be collected properly from thepopulation or from the sample

    4. Another serious error is due to bias

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    Contd..

    Non-Sampling

    Errors

    RandomErrors

    SystematicErrors

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    Random errors

    0 They are the unpredictable errors resulting from estimation

    0 They are generally cancelled out if a large enough sample is use

    0 However, when these errors do take effect, they often lead to

    an increased variability in the characteristic of interest(i.e., the

    greater the difference between the population units, the larger

    the sample size required to achieve a specific level of reliability)

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    Systematic errors

    0 These errors tend to accumulate over the entire sample

    0

    For example, if there is an error in the questionnairedesign, this could cause problems with the respondent's

    answers, which in turn, can create processing errors, etc

    0These types of errors often lead to a bias in the finalresults

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    T f E E l H i i i i

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    Type of Error Example How to minimize it

    Random errorsYou measure the mass of a

    ring three times using thesame balance and get

    slightly different values:

    17.46 g, 17.42 g, 17.44 g

    Take more data. Random

    errors can be evaluated

    through statistical analysisand can be reduced by

    averaging over a large

    number of observations.

    Systematic

    errors

    The cloth tape measurethat you use to measure

    the length of an object had

    been stretched out from

    years of use. (As a result,

    all of your lengthmeasurements were too

    small.)

    Systematic errors aredifficult to detect and

    cannot be analyzed

    statistically, because all of

    the data is off in the same

    direction (either to highor too low). Spotting and

    correcting for systematic

    error takes a lot of care.

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    Thank You..!!!

    0 Aditya Rane 06

    0 Ambreen Panjwani 12

    0Chetan Tatia 18

    0 Deepika Pathak 24

    0 Hardik Dave 30

    0 Imran Malik 36

    0 Kashif Qureshi 42