2_sources of errors in measurement

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    Types and Sources of Errors in Statistical

    Data

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    Types of Errors

    In general, there are two types of errors:

    a. Non-sampling errors and

    b. Sampling errors.

    It is important for a researcher to be aware of these

    errors, in particular non-sampling errors, so that they

    can be either minimised or eliminated from the data

    collected.

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    Non-sampling errors

    These are errors that arise during the course of all

    data collection activities.

    In summary, they have the following

    characteristics: exist in both sample surveys and censuses

    data.

    difficult to measure.

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    Sources of non-sampling errors

    Non-sampling errors arise from:

    defects in the sampling frame.

    failure to identify the target population.

    non response.

    responses given by respondents.

    data processing and

    reporting, among others.

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    Defects in the sampling frame

    This result in coverage errors.

    These occur when there is an omission, duplicationor wrongful inclusion of units in the sampling frame.

    Omissions are referred to as under coverage whileduplications and wrongful inclusions are called overcoverage.

    These errors are caused by defects such asinaccuracy, incompleteness, duplication, inadequacy

    and out of date sampling frames.

    Coverage errors may also occur in field operations,that is, when an enumerator misses severalhouseholds or persons during the interviewing

    process.

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    Failure to Identify Target Population

    This occurs when the target population is not clearly

    defined through the use of imprecise definitions or

    concepts or when the survey population does not

    reflect the target population due to an inadequatesampling frame and poor coverage rules.

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    Response

    They result from the data that have been requested,

    provided, received or recorded incorrectly.

    They may occur as a result of inefficiencies with

    the questionnaire, the interviewer,

    the respondent or

    the survey process.

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    a. Poor questionnaire design

    The content and wording of the questionnaire may

    be misleading and the layout of the questionnaire

    may make it difficult to accurately record responses.

    As a rule, questions in questionnaire should not beloaded, double-barrelled, misleading or ambiguous,

    and should be directly relevant to the objectives of

    the survey.

    It is essential to pilot test questionnaires to identifyquestionnaire flow and question wording problems,

    and allow sufficient time for improvements to be

    made to the questionnaire.

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    Poor questionnaire design contd

    The questionnaire should then be re-tested to

    ensure changes made do not introduce other

    problems.

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    b. Interviewer bias

    An interviewer may influence the way a respondent

    answers survey questions.

    To prevent this, interviewers must be trained to

    remain neutral throughout the interviewing processand must pay close attention to the way they ask

    each question.

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    c. Respondent errors

    These arise through the respondent providing

    inaccurate or wrong information.

    They occur because of memory biases or

    respondents giving inaccurate or false informationwhen they believe that they are protecting their

    personal interests or integrity.

    They can also arise from the way the respondent

    interprets the questionnaire and the wording of theanswer that the respondent gives.

    Careful questionnaire design and effective

    questionnaire testing can overcome these problems

    to some extent.

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    d. Problems with the survey process

    Errors can also occur because of problems with the

    actual survey process such as using proxy

    responses, that is, taking answers from someone

    other than the respondent or lacking control over the

    survey procedure.

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    Non-Response Non-response results when data is not collected from

    respondents.

    The proportion of these non-respondents in the sample is calledthe non-response rate.

    Non-response can be eithertotal orpartial.

    Total non-response or unit non-response can arise if arespondent cannot be contacted (because the sampling frame isincomplete or out-of-dated) or the respondent is not at home or is

    unable to respond because of language difficulties or illness orout rightly refuses to answer any questions or the dwelling unit isvacant.

    Other respondents may indicate that they simply don't have the

    time to complete the interview or survey form.

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    Non-response - contd

    When conducting surveys it is important to document information

    on why a respondent has not responded.

    Partial non-response or item non-response can occur when a

    respondent replies to some but not all questions of the survey.

    This can arise due to memory problems, inadequate information

    or an inability to answer a particular question/section of the

    questionnaire.

    A respondent may refuse to answer if;

    a. they find questions particularly sensitive, or if

    b. they have been asked too many questions.

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    Non-response - contd

    To reduce non-response, the following approaches can beused:

    care should be taken in questionnaire design through the use

    of simple questions.

    pilot testing of the questionnaire.

    explaining survey purposes and uses.

    assuring confidentiality of responses.

    public awareness activities including discussions with key

    organisations and interest groups, news releases, mediainterview and articles.

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    Processing

    These occur at various stages of data processing such as

    data cleaning, data capture and editing.

    Data cleaning involves taking preliminary checks before

    entering the data onto the processing system.

    Coder bias is usually a result of poor training or incomplete

    instructions, variability in coder performance and data entry

    errors.

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    Processing contd

    Inadequate checking and quality management at this stage

    can introduce data loss (where data is not entered into the

    system) and data duplication (where the same data is entered

    into the system more than once) thus introducing errors in

    data.

    To minimise these errors, processing staff should be given

    adequate training, instructions and realistic workloads.

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    Time Period Bias

    This occurs when a survey is conducted during an

    unrepresentative time period.

    Survey timing is thus important and failure torecognise this introduces errors in data.

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    Analysis and Estimation

    Analysis errors include any errors that occur whenusing wrong analytical tools or when preliminaryresults are used instead of the final ones.

    Errors that occur during the publication of the dataresults are also considered as analysis errors.

    Estimation errors occur when inappropriate orinaccurate weights are used in the estimationprocedure thus introducing errors to the data.

    They also occur when wrong estimators areselected by the analyst.

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    Reducing non-sampling errors

    Can be minimised by adopting any of the following

    approaches:

    using an up-to-date and accurate sampling frame.

    careful selection of the time the survey isconducted.

    planning for follow up of non-respondents.

    careful questionnaire design.

    providing thorough training and periodic retraining

    of interviewers and processing staff.

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    Reducing non-sampling errors contd

    - designing good systems to capture errors that occurduring the process of collecting data, sometimes

    called Data Quality Assurance Systems.

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    Sampling error

    Refers to the difference between the estimate derived from asample survey and the 'true' value that would result if a

    census of the whole population were taken under the same

    conditions.

    These are errors that arise because data has been collected

    from a part, rather than the whole of the population.

    Because of the above, sampling errors are restricted to

    sample surveys only unlike non-sampling errors that canoccur in both sample surveys and censuses data.

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    Sampling errors contd

    There are no sampling errors in a census because

    the calculations are based on the entire population.

    They are measurable from the sample data in thecase of probability sampling.

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    Factors Affecting Sampling Error

    It is affected by a number of factors including:

    a. sample size

    In general, larger sample sizes decrease the sampling error,however this decrease is not directly proportional.

    As a rough rule of the thumb, you need to increase the samplesize fourfold to halve the sampling error but bear in mind thatnon sampling errors are likely to increase with large samples.

    b. the sampling fraction.

    this is of lesser influence but as the sample size increases as afraction of the population, the sampling error should decrease.

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    Factors Affecting Sampling Error contd

    c. the variability within the population.

    More variable populations give rise to larger errors as the

    samples or the estimates calculated from different samples

    are more likely to have greater variation.

    The effect of variability within the population can be reduced

    by the use of stratification that allows explaining some of thevariability in the population.

    d. sample design.

    An efficient sampling design will help in reducing samplingerror.

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    Characteristics of the sampling error

    generally decreases in magnitude as the sample size

    increases (but not proportionately).

    depends on the variability of the characteristic of interest in the

    population.

    can be accounted for and reduced by an appropriate sample

    plan.

    can be measured and controlled in probability sample surveys.

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    Reducing sampling error

    If sampling principles are applied carefully within the

    constraints of available resources, sampling error

    can be kept to a minimum.

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    Potential Sources of Error in Research Designs

    Surrogate Information Error

    Measurement Error

    Population Definition Error

    Sampling Frame Error

    Data Analysis Error

    Respondent Selection Error

    Questioning Error

    Recording Error

    Cheating Error

    Inability Error

    Unwillingness Error

    Total Error

    Non-sampling

    Error

    Random

    Sampling Error

    Non-responseError

    ResponseError

    Interviewer

    Error

    Respondent

    Error

    Researcher

    Error

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    End of Topic