Topic 9 Audit Sampling

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    HA3032

    AUDITING

    Topic 9

    Audit Sampling

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    Basic concepts of sampling

    ASA 530.6Audit samplingdefines sampling as

    a process which includes the application ofaudit procedures to less than 100% of items

    within a class of transactions or account

    balance, such that all sampling units have a

    chance of selection

    Sampling is used in both tests of controls and

    substantive testing

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    Sampling risk and Non-Sampling risk

    When sampling is used to obtain evidence,

    uncertainties may result from the use of sampling

    (sampling risk)

    factors unrelated to sampling

    (non-sampling risk)

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    Sampling risk

    Sampling risk means the risk arising from the

    possibility that the auditors conclusion, based

    on a sample, may be different from the

    conclusion reached if the entire population

    were subjected to the same audit procedure

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    Types of sampling risk

    In the case of tests of control

    The risk the auditor will conclude that control risk islower than it actually is (risk of over-reliance)

    The risk the auditor will conclude that the controlrisk is higher than it actually is (risk of under-

    reliance) In the case of substantive testing

    The risk that the auditor will conclude that amaterial error does not exist when in fact it does

    (risk of incorrect acceptance)The risk that the auditor will conclude that a

    material error exists when in fact it does not (risk ofincorrect rejection)

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    Non-Sampling risk

    Non-sampling risk means the risk arising from

    factors that cause the auditor to reach anerroneous conclusion for any reason not relatedto the size of the sample

    Sources of non-sampling risk

    human error reliance on erroneous information received from

    another party

    How to keep this risk to a minimum?

    proper planning and supervision

    adherence to quality control standards

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    Statistical and Non-Statistical Sampling

    Statistical sampling means any approach to

    sampling that has the following characteristics: random selection of a sample; and

    use of probability theory to evaluate sample results,including measurement of sampling risk

    Non-statistical sampling means an approachto sampling that does not have any of theabove characteristics

    In non-statistical sampling, the auditor uses

    judgement in selecting the sample size and ininterpreting the results against the auditobjective

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    Current practice

    Many audit firms use non-statistical sampling,

    as the auditor has a greater degree ofjudgement in: selecting a sample size, and

    evaluating results based on previous client

    knowledge Common approach is the use of haphazard

    selection (this approach is not appropriatewhen statistical sampling is used)

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    Statistical sampling is most often used in the

    audit of a financial institution where the auditapproach relies heavily on controls testing

    A research study by Hall et. al. (2002) on

    sampling practices in the US, found that 85%of sample selection by auditors was non-

    statistical and 74% used haphazard method

    Current practice cont

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    Other types of sampling

    Selecting all items

    100% examination

    entire population is taken

    This is a technically a survey and is not really

    sampling at all

    Selecting specific items (based on the

    auditors knowledge of the business and the

    characteristics of the population being tested)

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    ASA 530.29 outlines specific items that may

    be selected

    These items are:

    high value or key items

    all items over a certain amount

    items to obtain information

    items to test control activities

    Other types of sampling cont

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    Use of samples for audit tests

    In sampling the auditor typically undertakes

    three common steps

    planning the sample

    selecting and testing the sample

    evaluating the sample

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    Planning the sample

    Involves the following steps

    determining the objectives of the test

    defining what errors are being sought

    identifying the population and sampling unit

    specifying tolerable error, expected error andrequired confidence level

    deciding the size of the sample

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    Determining the objectives of the test

    The auditor should consider

    the specific objectives

    combination of audit procedures

    Need to determine what constitutes an error

    and the appropriate population from which toselect the sample

    Audit sampling is applicable to both tests of

    controls and for substantive testing

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    Defining what errors are being sought

    The auditor must consider what constitutes an

    error by referring to the objectives of the test Test of controls - the test objective is the

    identification of deviations from the controlprocedure

    Substantive tests - the test objective is theidentification of errors or misstatements inrecorded transactions or balances

    An audit procedure may also detect errors not

    being specifically sought and so extra testsmay be required to determine the extent ofsuch errors

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    Identifying the population and sampling unit

    The auditor must identify the population and

    the sampling unit based on the objective of theaudit test

    Population the entire set of data from which a sample is

    selected and about which the auditor wishes todraw conclusions (ASA 530.9)

    The auditor must ensure that the population isappropriate to the objective of the sampling

    procedure and is complete

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    Stratification of the population

    increases audit efficiency and focuses greater auditwork on areas that are of higher inherent risk orpotentially materially misstated

    is commonly based on monetary value

    Stratification commonly used in the audit ofaccounts receivable

    Sampling unit means the individual itemsconstituting a population

    Examples include sales invoices, cash journalentries, listing of suppliers etc.

    Identifying the population and sampling unit cont

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    Specifying expected error and required confidence level

    Tolerable error- the maximum error in a

    population that the auditor is willing to accept Expected error- the error rate that the auditor

    expects to exist in the population

    Required confidence levelTests of controls: is the risk of

    over-reliance (the risk that the allowable assessedcontrol risk is lower than it actually is)

    Substantive tests: is the risk of incorrect

    acceptance (the risk that the testing suggests amaterial error does not exist when it actually does)

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    Deciding the sample size

    In determining an appropriate sample size, the

    auditors main concern is with reducingsampling risk to an acceptably low level

    The level of sampling risk that the auditor is

    willing to accept, will have an inverserelationship with the sample size required

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    TABLE 11.1: Factors that influence sample size for tests of controls

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    TABLE 11.2: Factors that influence sample size for substantive procedures

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    Selecting the sample

    Basic principle

    each item in the population has a chance of beingselected (though not necessarily an equal chance)

    Three approaches in selecting a sample (ASA530, Appendix 3)

    RandomSystematic

    Haphazard

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    Random selection

    Generally considered to be the best method of

    obtaining a sample to evaluate the resultsstatistically

    Each item in the population has a known

    (usually equal) chance of selection

    Auditing software can be used to select

    random samples

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    Systematic selection

    Is the process of dividing the number of

    sampling units in the population by the samplesize to give a sampling interval

    As long as the starting number is selected

    randomly, this method can be used as a

    statistical sampling method

    Drawback is the population may have a fixed

    pattern which may lead to bias in the sampling

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    Haphazard Selection

    Selection of a sample without following

    a structured technique

    Is only practical when the population is not

    ordered in any numerical sequence

    This method is not recommended where othermethods are available

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    Testing the sample and evaluating results

    Having drawn the sample, the auditor then

    examines or tests each item in accordancewith the required audit objective

    Each error or deviation needs to be evaluated

    as to its implications

    For each error, the auditor must consider

    whether the error

    has an effect on the whole population

    or is an isolated or localised occurrence

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    Substantive tests

    the sample results are projected to the population

    the most common method is the difference

    estimation method this method looks at the relative differences

    between the recorded and audited amounts

    if the projected error approaches or exceeds the

    tolerable error, more evidence may be necessary

    Projecting the error to the

    population cont

    T t i l

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    Tutorial

    Audit Sampling

    Reading:

    Leung Chapter 11

    Audit Sampling

    Tutorial Questions:

    Leung Chapter 11

    Questions 11.11, 11.14, 11.15, 11.17 & 11.23