Sampling for Research Green 2005 Presentation

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    Sampling for ResearchNon-Probability and Probability Techniques

    John J. Green, Ph.D.Institute for Community-Based Research

    Division of Social Sciences/Center for Community and Economic Development

    Delta State University

    Fall 2005

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    Why Sample?

    Population: The group of cases that the researcher isstudying and wants to generalize to. It includes all relevantcases sharing some common characteristic.

    Sample:A number of individual cases selected (drawn orpulled) from a larger population. In reality, we actuallyselect the sample cases from what is known as the

    sampling frame.We sample as a means to an end. To study a group and be

    able to say something about it without having to studyevery case in the population, we must sample.

    It is often the case that attempting to study every case in theentire group will be too overwhelming and/or costly.Furthermore, given the totality of constraints, we may endup with more errors than we would through sampling.(Note that this aspect of social measurement is highlightedin the debate over sampling for the Census).

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    Types of Samples: Non-Probability

    Non-Probability Sample: A sample that has been drawn in a way thatdoesnt give every member of the population a known chanceofbeing selected. (Adler and Clark 2001, p. 550, emphasis added).

    Convenience samples are obtained from a pre-existing group of people

    or other units of analysis that are thought to represent the targetpopulation.

    Purposive samples consist of people whom you feel are important to the

    study because of specific personal traits, where they live, the work

    they do, or their involvement in a particular issue. Sometimes it is

    helpful to use quotacriteria.

    Snow-ball samplinginvolves a process of chain referrals. You begin witha small group of people and ask them who else you might want to

    speak with.

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    Non-Probability Sample When to Use

    Non-probability samples can be used effectively in a wide

    variety of circumstances. . .

    When a group that represents the target population already

    exists.

    When it is impossible or overly difficult to obtain a list of

    names for sampling. (Example homeless.)

    When research is exploratory in nature and all of the cases

    of interest may not be identified ahead of time.

    It is critical to recognize that you cannotgeneralize with anyknowndegree of accuracy from a non-probabilitysample. In other words, the data represent those units ofanalysis you actually studied.

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    Types of Samples: Probability

    Probability Sample: A sample selected in such a way that everycase has a known chanceof being selected.

    Probability samples are based on probability theory and the ability

    to later use inferential statistics to compute the likelihood that

    sample characteristics are representative of the population.

    Probability samples allow for computation of the confidence that

    the sample and findings drawn from it are representative of

    the larger population. It is on this basis that we often refer to

    confidence intervals and confidence levels. These are whatwe use to account for the error between our sample and the

    population.

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    Probability Sampling (contd)

    Simple Random Sample: A probability sample in which every member ofa study population has been given an equal chance of selection.

    Stratified Random Sample: A probability sample in which the studypopulation is divided into smaller groups or strata on the basis of

    some important characteristic. Simple random samples are then

    selected from each stratum.

    Cluster Sample: A probability sample where clusters of elements withinthe study population are sampled. Then, every case within the

    selected element is chosen for study.

    Multi-stage Sample: A probability sample that involves two or morestages, typically combining different sampling strategies. For

    example, clusters of elements from a study population may be

    sampled, followed by a sample of cases within each element.

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    Comparing a random sample to the population (Delta Rural Poll).

    Total population

    distribution, by

    county.

    Total sampledistribution, by

    county.

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    0.00 1.00 2.00 3.00 4.00 5.00

    Recoded - In general, would you say yourhealth is excellent, good, fair or poor?

    0

    100

    200

    300

    400

    Frequency

    Mean = 2.1578Std. Dev. = 0.86948N = 797

    Cases weighted by Weight by County, Race & Gender

    Self-Rated Health (Entire Sample, n = 797)

    0.00 1.00 2.00 3.00 4.00 5.00

    Recoded - In general, would you say yourhealth is excellent, good, fair or poor?

    0

    1

    2

    3

    4

    5

    Frequency

    Mean = 1.80Std. Dev. = 1.0328N = 10

    Self-Rated Health, Small Sample (n = 10)

    0.00 1.00 2.00 3.00 4.00 5.00

    Recoded - In general, would you say yourhealth is excellent, good, fair or poor?

    0

    1

    2

    3

    4

    5

    Frequency

    Mean = 2.50

    Std. Dev. = 0.97183N = 10

    Self-Rated Health, Another Small Sample (n = 10)

    0.00 1.00 2.00 3.00 4.00 5.00

    Recoded - In general, would you say yourhealth is excellent, good, fair or poor?

    0

    2

    4

    6

    8

    10

    12

    14

    Frequency

    Mean = 2.50

    Std. Dev. = 0.93772N = 30

    Self-Rated Health, Moderate Sample (n = 30)

    Entire sampling

    frame, n = 787

    Random sample

    of 10 from 787

    Different sample

    of 10 from 787

    Random sample

    of 30 from 787

    Illustration of variablevalues from a

    random sample(Delta Rural Poll).

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    Illustration of a multi-stage sample (Quality of Life Assessment).

    Map of town is divided into blocks.

    Each block is numbered.

    A random sample of blocks ischosen using a random numbergenerator.

    Every fifth or seventh house ischosen for the study, based on therelative number of houses in theblock.

    0 1 2 3 4 5

    In general, would you say that your health isexcellent, good, fair or poor?

    0

    5

    10

    15

    20

    25

    30

    Frequency

    Mean = 2.92

    Std. Dev. = 0.759

    N = 49

    Self-Rated Health (Ruleville, n = 49)

    A total of fifty face-to-face interviewswere completed.