Answer: Use of Sampling Techniques in Internal
Audit
SA 500: ‘Audit Evidence’ issued by the Institutes of Chartered
Accountant of India says:
“The audit evidence
should, in total, enable the auditor to form an opinion on the financial
information. In forming such an opinion, the auditor does not normally examine
all the information that is available to him because he can reach a conclusion
about an account balance, class of transactions or a control by way of
judgmental or statistical sampling procedures.”
Statistical sampling
technique is a well accepted audit techniques now-a-days. Statistical sampling
in auditing means forming an opinion about a group of items on the basis of
examination of a few of the items. Statistical sampling technique add
scientific flavor to old, generally accepted by auditing professional, of ‘test
checking’. Statistical sampling techniques are based on the probability theory.
The Institute of
Chartered Accountants of India has issued SA 530: “Audit sampling” which is
mandatory in nature and applicable to all kinds of audit.” The following is the
text of SA 530 modified as per our requirement:
1. The purpose of this
standard is to establish standards on the design and selection of an audit
sample and the evaluation of the sample results. This standard applies to
statistical and non-statistical sampling methods. Either method, when properly,
applied can provide sufficient appropriate evidence.
2. When using either statistical
or non statistical sampling methods, the auditor should design and select an
audit sample. Perform audit procedures thereon, and evaluate sample results so
as to provide sufficient appropriate audit evidence.
3. Auditing sampling
means the application of audit procedure to less than 100% of an item within an
account balance or class of transactions to enable the auditor to obtain and
evaluate audit evidence about some characteristics of the items selected in
order to form or assist in forming a conclusion concerning the population.
4. It is important to
recognize that certain testing procedures do not come within the definition of
sampling. Tests performed on 100% of the items within a population do not
involve sampling, likewise, applying audit procedures to all items within a
population which have a particular characteristics (for example all items over
a certain amount) does not qualify as audit sampling with respect to the
portion of the population examined, nor with regard to the population as a
whole, since the items were not selected from the total population on a basis
that was expected to be representative.
Design of the sample
5. When designing an
audit sample, the auditor should consider the specific audit objectives, the
population from which the auditor wishes to sample, and the sample size.
Audit objectives
6. The auditor would
first consider the specific audit objectives to be achieved and the audit
procedures which are likely to best achieve those objectives. Consideration of
the nature of the audit evidence sought and possible error conditions or other
characteristics relating to that audit evidence will assist the auditor in
defining what constitutes an error and what population to use for sampling. For
example, when performing tests of control over an entity’s purchasing
procedures, the auditor will be concerned with matters such as whether an
invoice was clerically checked and properly approved on the other hand, when
performing substantive procedures on invoice processed during the period, the
auditor will be concerned with matters such as the proper reflection of the
monetary amounts of such invoices in the financial statements.
Population
7. The population is the
entire set of data from which the auditor wishes to sample in order to reach a
conclusion. The auditor will need to determine that the population from which
the sample is drawn is appropriate to the specific objective. For example, if
the auditors objective were to test for overstatement of accounts receivable,
the population could be defined as the accounts receivable listing, on the
other hand, when testing for understatement of accounts payable, the population
would not be accounts payable listing, but rather subsequent disbursements,
unpaid invoices, suppliers’ statements, unmatched receiving reports or other
populations that would provide audit evidence of understatement of accounts
payable.
8. The individual items
that make up the population are known as sampling units. The population can be
provided into sampling units in a variety of ways, for example, if the
auditor’s objectives were to test the validity of accounts receivable, the
Sampling unit could be defined as customer balance or individual customer
invoices. The auditor defines the sampling unit in order to obtain an efficient
and effective sample to achieve the particular audit objectives.
Stratification
9. To assist in the
efficient and effective design of the sample stratification may be appropriate.
Stratification is the process of dividing a population into sub population,
each of which is a group of sampling units, which have similar characteristics
(often monetary value). The strata need to be explicitly defined so that each
sampling unit can belong to only one stratum. This process reduces the
variability of the items within each stratum. Stratification therefore, enables
the auditor to direct audit efforts towards the items which for example,
contain the greatest potential monetary error. For example, the auditor may
direct attention to larger value items for accounts receivable to detect
overstated material mis-statements. In addition, stratification may result in a
smaller sample size.
Sample size
10. When determining the
sample size, the auditor should consider sampling risk, the tolerable error,
and the expected error. Examples of some factors affecting sample size are
contained in Table 6.2.
Sampling risk
11. Sampling risk arises
from the possibility that the auditor’s conclusion, based on a sample, may be
different from the conclusion that would be reached if the entire population
were subjected to the same audit procedure.
12. The auditor is faced
with sampling risk in both tests of control and substantive procedures as
follows:
(a) Tests of Control:
i) Risk of Under
Reliance: The risk that, although the sample result does not supports the
auditor’s assessment of control risk, the actual compliance rate would support
such an assessment.
ii) Risk of Over
Reliance: The risk that, although the sample result supports the auditor’s
assessment to control risk, the actual compliance rate would not support such
an assessment.
(b) Substantive Procedures:
i) Risk of Incorrect Rejection: The risk that, although the sample
result supports the conclusion that a recorded account balance or class of
transactions is materially mis-stated, in fact it is not materially mis-stated.
ii) Risk of Incorrect Acceptance: The risk that, although the sample
result supports the conclusion that a recorded account balance or class of
transactions is not materially mis-stated, in fact it is materially mis-stated.
13. The risk of under
reliance and the risk of incorrect rejection affect audit efficiency as they
would ordinarily lead to additional work being performed by the auditor, or the
entity, which would establish that the initial conclusions were incorrect. The
risk of over reliance and the risk of incorrect acceptance affect audit
effectiveness and are more likely to lead to an erroneous opinion on the
financial statements that either the risk of under reliance or the risk of incorrect
rejection.
14. Sample size is
affected by the level of sampling risk the auditor is willing to accept from
the results of the sample. The lower the risk the auditor is willing to accept,
the greater the sample size will need to be.
Tolerable error
15. Tolerable error is
the maximum error in the population that the auditor would be willing to accept
and still concludes that the result from the sample has achieved audit
objective. Tolerable error is considered during the planning stage and, for
substantive procedures, is related to the auditor’s judgment about materiality.
The smaller the tolerable error, the greater the sample size will need to be.
16. In tests of control,
the tolerable error is the maximum rate of deviation from a prescribed control
procedure that the auditor would be willing to accept, based on the preliminary
assessment of control risk, in substantive procedures, the tolerable error is
the maximum monetary error in an account balance or class of transactions that
the auditor would be willing to accept so that when the results of all audit
procedures are considered, the auditor is able to conclude, with reasonable
assurance, that the financial statements are not materially mis-stated.
Expected error
17. If the auditor
expects error to be present in the population, a larger sample than when no
error is expected ordinarily needs to be examined to conclude that the actual
error in the population is not greater than the planned tolerable error.
Smaller sample sizes are justified when the population is expected to be error
free. In determining the expected error in a population, the auditor would
consider such matters as error levels identified in previous audits, changes in
the entity’s procedures, and evidence available from other procedures.
Selection of the sample
18. The auditor should
select sample items in such a way that the sample can be expected to be
representative of the population. This requires that all items in the
population have an opportunity of being selected.
19. While there are a
number selection methods, three methods commonly used are:
(a) Random selection which ensures that all items in the
population have an equal chance of selection, for example by use of random
number tables.
(b) Systematic selection, which
involves selecting items using a constant interval between selections, the
first interval having a random start. The interval might be based on certain
number of items (for example, every 20th voucher number) or on monetary totals
(for example, every Rs. 1000 increase in the cumulative value of the
population). When using systematic selection, the auditor would need to
determine that the population is not structured in such a manner that the
sampling interval corresponds with a particular patter in the population. For example,
if in a population of branch sales, a particular branch’s sales occur only as
every 100th item and the sampling interval selected is 50, the result would be
that the auditor would have selected all, or none, of the sales of that
particular branch.
(c) Haphazard selection, which may
be an acceptable alternative to random selection, provided that auditor
attempts to draw a representative sample from the entire population with no
intention to either include or exclude specific units. When the auditor uses
this method, care needs to be taken to guard against making a selection that is
biased, for example, towards items which are easily located, as they may not be
representative.
Evaluation of sample
results
20. Having carried out,
on each sample item, those audit procedures that are appropriate to the
particular audit objective, the auditor should:
(a) Analyze any errors
detected in the sample.
(b) Project the errors
found in the sample.
(c) Reassess the
sampling risk.
Analyze of errors in the
sample
21. In analyzing the
errors detected in the sample, the auditor will first need to determine that an
item in question is in fact an error. In designing that sample, the auditor
will have defined those conditions that constitute an error by reference to the
audit objectives. For example, in a substantive procedure relating to the
recording of accounts receivable, a misposting between customer accounts does
not affect the total accounts receivable. Therefore, it may be inappropriate to
consider this an error is evaluating the sample results of this particular
procedure, even though it may have an effect on other areas of the audit such
as the assessment of doubtful accounts.
22. When the expected
audit evidence regarding a specific sample item cannot be obtained, the auditor
may be able to obtain sufficient appropriate audit evidence through performing
alternative procedures. For example, if a positive account receivable
confirmation has been requested and no reply was received, the auditor may be
able to obtain sufficient appropriate audit evidence that eh receivables is
valid by reviewing subsequent payments from the customer. If the auditor does
not, or is unable to perform satisfactory alternative procedures, or if the
procedures performed do not enable the auditor to obtain sufficient appropriate
audit evidence the item would be treated as an error.
23. The auditor would
also consider the qualitative aspects of the errors. These include the nature
and cause of the error and the possible effect of the error on other phase of
the audit.
24. In analyzing the
errors discovered, the auditor may observe that many have a common feature, for
example, type for transaction, location, product line, or period of time. In
such circumstances, the auditor may decide to identify all items in the
population which possess the common feature, thereby producing a
sub-population, and extent audit procedures in this area. The auditor would
than perform a separate analysis based on the items examined for each sub
population.
Projection of errors
25. The auditor projects
the error results of the sample to the population from which the sample was
selected. There are several acceptable methods of projecting error results.
However, in all the cases, the method of projection will need to be consistent
with the method used to select the sampling unit. When projecting error
results, the auditor needs to keep in mind the qualitative aspects of the
errors found. When the population has been divided into sub-population, the
projection of errors is done separately for each sub-population and the results
are combined.
Planned Deviation
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