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    BA 26

    RESEARCH METHODS FOR MANAEMENT SCIENCE

    SAMPLING AND SAMPLING TECHNIQUES

    POPULATION

    CHOOSING A SAMPLE

    THE DIFFERENT SAMPLING TECHNIQUES

    THE DIFFERENT WAYS OF DERIVING SAMPLE

    THE DIFFERENT PROBABILIT SAMPLING TECHNIQUE

    THE DIFFERENT NON PROBABILITY SAMPLING

    TECHNIQUE

    POPULATION

    In data gathering phase, the information is taken from a unit, which is part of a

    collection of all such units called a population.

    To illustrate:

    If the data to be collected are the test results in BA260, the smallest unit under

    investigation is a BA261 student and the population is the set of all students whoare taking BA260.

    If you are interested in the number of television sets in Ozamiz City, the unit from

    which data is collected can be a household, and the population is all the

    households in Ozamiz City.

    Population

    A population is a collection of all units from which data is to be collected.

    A unit in a population is also called an element of the pop ulat ion.

    Because there is very rarely enough time or money to gather information from

    everyone or everything in a population, the goal becomes finding a

    representative sample (or subset) of that population.Composed of Two Groups

    Target Population

    Accessible population

    1. Target population (universe)

    The entire group of people or objects to which the researcher wishes to

    generalize the study findings

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    Meet set of criteria of interest to researcher

    Examples:

    All people with AIDS

    All low birth weight infants

    All pregnant teens

    2. Accessible population

    the portion of the population to which the researcher has reasonable access;

    may be a subset of the target population

    May be limited to region, state, city, county, or institution

    Examples:

    All people with AIDS in the metropolitan Manila area

    All low birth weight infants admitted to the Misamis University Medical Center

    (MUMC)

    All pregnant teens in Ozamiz City

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    Define the Target Population

    The target population is the collection of elements or objects that possess the

    information sought by the researcher and about which inferences are to be made. The

    target population should be defined in terms of elements, sampling units, extent, and

    time.

    An elementis the object about which or from which the information is

    desired, e.g., the respondent.

    A sampling unitis an element, or a unit containing the element, that is

    available for selection at some stage of the sampling process.

    Extentrefers to the geographical boundaries.

    Timeis the time period under consideration.

    Sample

    It is a subset or a representative part of the population.

    The sample must be:

    1. representativeof the population;

    2. appropriately sized(the larger the better);

    3. unbiased;

    4. random(selections occur by chance); The above criteria are interrelated.

    Frame

    It is a listing of all the elements of the population.

    A set of items or events possible to measure.

    Is the list from which the potential respondents are drawn

    Is needed so that everyone in the population is identified so they will have an

    equal opportunity for selection as a subject (element).

    Examples:

    A list of all low birth weight infants admitted to the Misamis University MedicalCenter (MUMC).

    A list of all pregnant teens in the city of Ozamiz.

    Census

    It is a process when the information is gathered for all units in the population.

    Primary data is collected from every member of the target population.

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    Census Sample

    A census study occurs if the entire population is very small or it is reasonable to

    include the entire population (for other reasons).

    It is called a census sample because data is gathered on every member of the

    population.

    Sampling or Sample Survey

    It is a process when only a part of a population is used to obtain data.

    The process of selecting a group of people, events, behaviours, or other

    elements with which to conduct a study.

    Why sample?

    The population of interest is usually too large to attempt to survey all of its

    members.

    A carefully chosen sample can be used to represent the population.

    The sample reflects the characteristics of the population from which it is

    drawn.When the size of the population is large, a census becomes long and tedious

    process aside from having a prohibitive cost. To save on cost and time, a sample

    survey is a convenient alternative. The information derived from the data in the sample

    is then used to make some generalizations about the population. However, in making

    this option, errors are unavoidable.

    Different Sampling Techniques

    1. Probability Sampling

    - is one in which every unit in the Population has a chance (greater than zero) ofbeing selected in the Sample.

    Probability samples are based on the mathematical theory of probability.

    The surest way of providing equal probability of selection is to use the principle of

    random selection.

    This involves listing all members of the population (this list is called a sampling frame)

    and then, in effect, 'pulling names out of a hat'; although you can use a random number

    table to do this.

    There are still likely to be differences between the sample and the total population, but

    using a probability sample means that this should be by chance alone.

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    Advantages of Probability Sampling

    Probability sampling does not depend upon the existence of detailed information

    about the universe for its effectiveness.

    Probability sampling provides estimates which are essentially unbiased and have

    measurable precision.

    It is possible to evaluate the relative efficiency various sample designs only when

    probability sampling is used.

    Probability Sampling Includes:

    Simple random sampling

    Systematic sampling Cluster sampling

    Stratified sampling

    Multi-stage sampling

    2. Non - Probability Sampling

    - Any Sampling methods where some elements of population have no chance

    of selection, or where the probability of selection cant be accurately determined.

    Principles of non-probability sampling

    There are theoretical and practical reasons for using non-probability sampling.

    Theoretical reasons

    Non-probability sampling techniques can often be viewed as an inferior

    alternative to probability sampling techniques.

    Non-probability sampling techniques can often be viewed in such a way because

    units are not selected for inclusion in a sample based on random selection, unlike

    probability sampling techniques.

    As a result, researchers following a quantitative research design often feel that they are

    forced to use non-probability sampling techniques because of some inability to use

    probability sampling (e.g., the lack of access to a list of the population being studied).

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    Practical reasons

    Non-probability sampling is often used because the procedures used to select units for

    inclusion in a sample are much easier, quicker and cheaper when compared with

    probability sampling.

    Types of non-probability sampling

    There are five types of non-probability sampling techniques:

    Quota sampling

    Convenience sampling

    Purposive sampling

    Self-selection sampling

    Snowball sampling

    Probability sampling

    Involves random selection in choosing the subjects or elements. Randomization

    or random choice, is the hallmark of probability sampling. This is the process of

    giving every member or each element of the population an equal chance to be

    included in the sample representing the total population. This is the method of

    choice for obtaining a representative sample.

    TYPES OF PROBABILITY SAMPLING

    1. Simple random sampling

    2. Stratified random sampling

    3. Cluster sampling

    4. systematic sampling

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    1. SIMPLE RANDOM SAMPLING

    All elements are enumerated and listed in a sampling frame ( the technical name

    for the list of elements from which the sample will be chosen) and selection is

    done at random.

    Each element has an equal chance or probability of being chosen as subjects of

    the study. Simple random sampling is the basic technique of probability

    sampling.

    Random sample from whole population.

    it is considered fair and therefore allows findings to be generalized to the whole

    population from which the sample was taken.

    It is sometimes called the lottery method

    EXAMPLE: Select ing a simple random samp le of students

    A simple random sample of 25 students is to be selected from a school of 500 students

    Using a list of all 500 students, each student is given a number (1 to 500), and these

    numbers are written on small pieces of paper. All the 500 papers are put in a box, after

    which the box is shaken vigorously to ensure randomisation. Then, 25 papers are taken

    out of the box, and the numbers are recorded. The students belonging to these

    numbers will constitute the simple random sample.

    ADVANTAGE:

    Highly representative if all subjects participate; the ideal.

    DISADVANTAGES:

    Not possible without complete list of population members;

    potentially uneconomical to achieve;

    can be disruptive to isolate members from a group;

    time-scale may be too long, data/sample could change

    2. STRATIFIED RANDOM SAMPLING The researcher divides the population into two or more homogenous strata or

    subsets from which an appropriate number of elements (equal or unequal

    number) are selected at random. Although stratified random sampling requires

    more labour and effort than simple random sampling, it enables researchers to

    sharpen the precision and to improve representativeness of the final sample.

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    Stratification may be based on common demographic attributes such as age,

    gender, educational level, educational attainment, income level.

    Random sample from identifiable groups (strata), subgroups, etc.

    EXAMPLE: Strat i f ied samp l ing of ho useholds

    A survey is conducted on household water supply in a district comprising 2,000

    households, of which 400 (or 20%) are urban and 1,600 (or 80%) are rural. It is

    suspected that in urban areas the access to safe water sources is much more

    satisfactory than in rural areas (Figure 15.5). A decision is made to sample 200

    households altogether, but to include 100 urban households and 100 rural households.

    ADVANTAGE:

    Can ensure that specific groups are represented, even proportionally, in the

    sample(s) (e.g., by gender), by selecting individuals from strata list.

    DISADVANTAGES:

    More complex, requires greater effort than simple random; strata must be

    carefully defined

    3. CLUSTER OR MULTISTAGE SAMPLING

    The researcher selects random samples from larger(general population) to

    successively smaller units using either the simple random or stratified random

    method.

    Although cluster sampling tends to be less accurate than simple or stratified

    random sampling, it is more economical and practical, particularly with a large

    and widely dispersed population.

    Random samples of successive clusters of subjects (e.g., by institution) until

    small groups are chosen as units

    ADVANTAGES:

    Possible to select randomly when no single list of population members exists, but

    local lists do;

    data collected on groups may avoid introduction of confounding by isolating

    members

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    DISADVANTAGE:

    Clusters in a level must be equivalent and some natural ones are not for

    essential characteristics (e.g., geographic: numbers equal, but unemployment

    rates differ)

    4. SYSTEMATIC SAMPLING

    The researcher first randomly picks the first item or subject from the population.

    Then, the researcher will select each n'th subject from the list.

    EXAMPLE:

    if you wanted to select a random group of 1,000 people from a population of

    50,000 using systematic sampling, you would simply select every 50th person,

    since 50,000/1,000 = 50.

    ADVANTAGE:

    The main advantage of using systematic sampling is its simplicity. It allows the

    researcher to add a systematic element into the random selection of subjects, yet

    it is very easy to do.

    DISADVANTAGE:

    the process of selecting the sample can interact with a hidden periodic trait within

    the population.

    The non-probability sampling technique

    Learning objectives:

    Develop an understanding about different NON PROBABILITY sampling

    methods

    Distinguish between probability & non probability sampling

    Advantage and disadvantage of the different techniques

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    Some terms to remember

    Sampling the process of selecting a portion of the population to represent the

    entire population

    Population the entire aggregation of cases in which a researcher is interested

    Sample a subset of population elements

    Element the basic unit about which information is collected

    Sampling design Used in the selection of a sample within a population intended to

    yield knowledge, especially for the purposes of making

    predictions based on statistics.

    Probability Sampling Involves random selection of elements in which each

    element has a chance of being selected

    Non Probability Sampling Involves non-random methods in the selection of elements in

    which not all have equal chances of being selected

    Sampling Bias The over-representation or under-representation of some

    segment of the population in

    terms of a characteristics relevant to the research question

    Non Probability Sampling Techniques

    1. Convenience Sampling

    2. Snowball Sampling3. Purposive Sampling

    4. Quota Sampling

    The Non- Probability Sampling Technique

    A big part of the population is ignored in the selection of respondents or they

    have a zero chance of being selected.

    Any sampling method where some elements of population have no chance of

    selection (these are sometimes referred to as 'out of coverage'/'undercovered'),

    or where the probability of selection can't be accurately determined. It involves

    the selection of elements based on assumptions regarding the population of

    interest, which forms the criteria for selection. Hence, because the selection of

    elements is nonrandom, nonprobability sampling not allows the estimation of

    sampling errors.

    Sometimes known as grab or opportunity sampling or accidental or

    haphazard sampling.

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    A type of nonprobability sampling which involves the sample being drawn from

    that part of the population which is close to hand. That is, readily available and

    convenient.

    Example: We visit every household in a given street, and interview the first

    person to answer the door. In any household with more than one occupant, thisis a nonprobability sample, because some people are more likely to answer the

    door (e.g. an unemployed person who spends most of their time at home is more

    likely to answer than an employed housemate who might be at work when the

    interviewer calls) and it's not practical to calculate these probabilities.

    Convenience Sampling

    A researcher decides on the respondents of the study on the basis of

    convenience.

    Purposive Sampling Sampling respondents are chosen based on the judgment or opinion of the

    researcher or upon the advice of certain experts

    This is used primarily when there is a limited number of people that have

    expertise in the area being researched

    Quota Sampling

    Is like a stratified random sampling but without randomization.

    The population is normally subdivided into subgroups, like gender or year level of

    students

    The population is first segmented into mutually exclusivesub-groups, just as in

    stratified sampling. Then judgment used to select subjects or units from each segment based on a

    specified proportion.

    For example, an interviewer may be told to sample 200 females and 300 males

    between the age of 45 and 60.

    It is this second step which makes the technique one of non-probability sampling.

    In quota sampling the selection of the sample is non-random.

    For example interviewers might be tempted to interview those who look most

    helpful. The problem is that these samples may bebiasedbecause not everyone

    gets a chance of selection. This random element is its greatest weakness and

    quota versus probability has been a matter of controversy for many years

    Snowball Sampling

    Is done with the help of study subjects to choose other potential subjects.

    A useful tool for building networks and increasing the number of participants.

    Depends greatly on the initial contacts and the connections made.

    http://en.wikipedia.org/wiki/Mutually_exclusivehttp://en.wikipedia.org/wiki/Mutually_exclusivehttp://en.wikipedia.org/wiki/Stratified_samplinghttp://en.wikipedia.org/wiki/Stratified_samplinghttp://en.wikipedia.org/wiki/Randomhttp://en.wikipedia.org/wiki/Randomhttp://en.wikipedia.org/wiki/Randomhttp://en.wikipedia.org/wiki/Biased_sampleshttp://en.wikipedia.org/wiki/Biased_sampleshttp://en.wikipedia.org/wiki/Biased_sampleshttp://en.wikipedia.org/wiki/Biased_sampleshttp://en.wikipedia.org/wiki/Randomhttp://en.wikipedia.org/wiki/Stratified_samplinghttp://en.wikipedia.org/wiki/Mutually_exclusive