lecture 7 sampling

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    Sampling for Surveys

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    Surveys

    What is a survey?

    A process of presenting a standard series of questions to asample of persons.

    The survey is the most widely used technique in criminologybecause it is best suited for looking at the complex social world.To capture that world accurately, we have to measure itin situ.

    That means taking information from selected people,from where they are usually found.

    Measures of many phenomena of interest are taken. Thepurpose is to accurately reflect the beliefs, attitudes, andbehaviors of the sample in order to generalize accurateinformation to a target population.

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    Surveys

    Survey research typically uses sampling rather than takingcensus.Sampling vs. Taking a Census Sampling: selecting cases (elements)or locating people (or other units of

    analysis)from a target population in order to study the population.

    Taking a Census: using all cases in an entire target (all elements)in order tostudy the population

    So why dont we always take a census?

    ASampleis a: Noun: the group from whom data are (or were) gathered, and

    Verb: to select cases that represent a populationnot a musical term here

    There are multiple ways to sample, but the goal is for thesample to maximally represent the target population

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    Sample vs. Population

    Population

    Sample

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    Sampling

    Types of Samples (Multiple units of analysis can be sampled):

    Cases Persons in Field Studies Situations

    Archival Data Experiment Participants

    Persons answering a Survey

    Depending on how the sample was generated, there are limitsto how much findings can be generalized from it.

    One aims for broad generalizability, but type of sampling isalso determined by the:

    complexities of the target population, and

    researchersresources

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    Sampling

    Sampling Techniques

    Nonprobability: Sampling methods that do not let usknow in advance the likelihood of selecting for the

    sample each element or case from a populationvs.

    Probability: Sampling methods that allow us to knowin advance how likely it is that any element of apopulation will be selected for the sample

    Knowing the chance of selection allows one to controlsampling bias (under or overrepresentation of apopulation characteristic in a sample)

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    Nonprobability Sampling Nonprobability

    (Very common in psychology, medicine, sociology)

    1. Availability Sampling, convenience sampling

    Selection of cases based on what is easiest to do Experiments

    Exploratory and Qualitative research

    Avoid this if you can

    2. Quota SamplingAspects of target population are known. Selectsavailability sample ensuring that it reflects knownaspects of population

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    Nonprobability Sampling

    3. Snowball SamplingRespondent-driven sampling, initial respondents referothers to the researcher Usually used with hard-to-discover populations

    Bias introduced by structured nature of affiliation Can be improved with incentives to subjects to recruit a certain

    number of new respondents

    4. Purposive SamplingTargets select people for a sample because of their

    unique position Helps get understanding of systems or processes or

    information on a target population Not representative of population in general

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    Nonprobability Sampling

    Critiques

    Limited generalizabilityone cannot judge representativeness.

    Researchers should estimate who the sample represents . . . The

    sample at least represents populations that are similar to it.

    Why use nonprobability samples? Nonprobability does not mean,intentional attempt to get a sample that is not representative:

    1. Well-suited for exploratory and evaluation research2. Sampling frames (lists from which samples are drawn) are at

    times inadequate or nonexistent

    3. Quick, efficient4. Can be effectively used to study and describe social and socialpsychological processes

    5. Any research is limited, but not having research is worse.6. Across samples, repeatedly finding the same results supports

    generalizability.

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    Probability Sampling

    Sampling Techniques

    Probability Sampling: Sampling method reveals in advance thelikelihood that any one element will be selected for the sample

    Probability sampling begins with a sampling frame, or a list of all

    elements (or other units containing the elements) in a population.

    E.g., Phone book, All Universities, Known Addresses, Subscribers to amagazine.

    If a sampling frame is incomplete (which they usually are) then the accuracyof the sample is compromised. The researcher has the burden of assessing

    the sampling error or bias.

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    Probability Sampling

    1. Simple Random Sampling

    Cases are identified strictly on the basis of chance. Random number table to select from sampling frame

    Random digit dialing Equal probability of selection

    2. Systematic Random Sampling

    First case selected randomly from list, subsequent

    cases are selected at equal intervals. Typically the same as Simple Random Sampling

    Be aware of periodicity

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    Probability Sampling

    3. Cluster Sampling

    Use when sampling frame is difficult to obtain, butclusters are identifiable.

    Randomly select clusters, then use obtainablesampling frames within the clusters to selectcases.

    Example: There is no national list of independent Baptists,but almost all independent Baptist churches can beidentified. Members can be selected from membership lists.

    Because clusters are generally homogeneous(e.g., all white churches) it is better to maximizethe number of clusters and minimize numberof cases from each cluster

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    Probability Sampling

    Multistage cluster sampling

    Selecting clusters in two or more hierarchicalstages(e.g., selecting states, then selecting churches,then members)

    Keep stages to a minimum because each stageproduces sampling error; more stages, more error

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    Probability Sampling

    4. Stratified Random Sampling

    Sampling frame divided into strata, cases drawn fromeach stratum randomly.

    Small subpopulations of interest may yield too fewcases in simple random sampling. Tocompensate, the researcher draws samples fromeach subpopulation independently.

    Example: Latino population of Santa Clara County isaround 25%. A random sample of 100 wouldproduce 20 30 Latinostoo few to generalize toSanta Clara County Latinos.

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    Probability Sampling

    4. Stratified Random Sampling

    Proportionate Stratified SamplingEnsuring that population proportions are reflected inproportions of each stratum of sample.

    Population: 4% black, 25% Latino, 27% Asian, 44% white Sample of 1,000: 40 black, 250 Latino, 270 Asian, 440 white

    Disproportionate Stratified SamplingPopulation proportions are NOT reflected inproportions of each stratum of sample. Population: 4% black, 25% Latino, 27% Asian, 44% white Sample of 1,000: 250 black, 250 Latino, 250 Asian, 250 white Idea is to get a lot of cases in each stratum When combining all cases into one sample, use weighted

    averages

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    2010 GSS Sampling

    Full probability sample of US householdseachhousehold has an equal chance of beingselected

    Used stratified area probability sampling At the household level, 1 adult is selected at random

    (Kish Table)

    Sampling frame Most cases came from a list of addresses from USPS (over 2/3)

    Remaining cases from NORC-generated lists of households

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    2010 GSS SamplingStages used in four population area types, ending with random adult

    1.Big MSAs (city), have USPS address42% of population1. Primary sampling unit: tract (1 -2K Housing units)168 selected

    2. Housing Unit Selected from USPS List

    2.Intermediate MSAs or counties, have USPS address30% of population

    1. Primary sampling unit: MSA or part of county30 selected2. Secondary sampling unit: tract120 selected

    3. Housing unit Selected from USPS List

    3.Rural counties and Intermediate areas (2) without adequate USPS address list25% of population

    1. Primary sampling unit: County, all or part25 selected

    2. Secondary sampling unit: Segment (constructed to contain 300 Housing Units)100 selected

    3. Housing unit from NORC-listed master

    4.Big MSAs (city), without adequate USPS address list3% of population1. Primary sampling unit: Segment12 selected

    2. Housing unit from NORC-listed master

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    2010 GSS Sampling

    Source: http://www.fcsm.gov/03papers/keynotespeaker.pdf, January 12, 2012

    Stratum 3 =NORC list used

    http://www.fcsm.gov/03papers/keynotespeaker.pdfhttp://www.fcsm.gov/03papers/keynotespeaker.pdf
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    2010 GSS Sampling

    What are the implications of the General SocialSurveys sampling???

    The GSS is an adults-only survey of persons in

    households. Therefore, it underrepresents: 18 24 year-olds (many not living in households

    military, college, roaming)

    65 and over (many not living in householdsvacations, RVs, assisted living)

    Persons who live in large households (only oneperson per household is interviewed)

    Homeless, criminal, and some poor (not in officialhouseholds, in shelters, on streets, in apartments)

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    Probability Sampling

    Critiques Just being random does not ensure that a sample is

    representative or that the research is good.

    Limited Sampling Frame

    Think of presidential phone polls:

    Who is at home? Type of person, day of polling, etc.

    Who has a land line?

    Problems of non-responserandom non-response okay,but systematic non-response is biasing

    Phone surveys typically do not report response rate. They

    are often below 30%

    How were questions worded: Measurement error

    Problems of misspecified models: Leads to not asking theright questions

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    Probability Sampling

    Critiques

    Is the Sample large enough? Larger samples produce less sampling error

    Too large is a waste of money

    Big is good, but accurate and appropriate are better

    Fraction of population sampled does not increase accuracyunless fraction is very large

    Larger samples are needed when:

    The population is more heterogeneous.

    There are more variables of interest. The weaker the effects, or the smaller the differences

    between groups,

    TO SUM: MORE COMPLEXITY REQUIRES LARGER SAMPLES