6040 Selection of Items for Review
May-2024

Overview

The objective of the engagement teams when selecting items for review is to obtain sufficient and appropriate evidence to conclude against the audit objective.

OAG Policy

When representative sampling is used in a reasonable assurance engagement, at a minimum, audit samples shall be sufficient to attain a confidence interval of 10% and a confidence level of 90%. Sampling for audits of high risk or sensitivity shall be sufficient to attain the confidence interval of 5% and confidence level of 95%. [Jul-2019].

OAG Guidance

When planning and conducting a direct engagement, engagement teams are required to obtain sufficient and appropriate evidence on which to base audit conclusions.

Selection of items for review

Engagement teams can rarely examine an entire population of items, which necessitates their review of just a selection. The 2 fundamental types of selection are audit sampling and purposeful selection.

Exhibit 1—Types of selection

Selection type Definition Purpose

Audit sampling

Also referred to as representative sampling or generalizable sampling

Audit sampling is the application of auditing procedures to a representative group of less than 100% of the items within a population of audit relevance such that all sampling units have a chance of selection in order to provide the auditor with a reasonable basis on which to draw conclusions about the entire population.

Conclude on the overall population of items.

Purposeful selection

Also referred to as targeted testing

Purposeful selection is used to comment or conclude specifically on the items chosen for examination. There are 2 ways to select items: judgmental selection and random selection.

Conclude specifically on the items selected.

Purposeful selection has no statistical basis for concluding on an entire population of items.

Engagement teams need sampling or selection plans whenever an audit procedure is designed to include audit sampling or purposeful selection.

Questions to consider when building a sampling or selection plan

If your team is considering selecting items to review, see below for a list of questions your team should consider.

Exhibit 2—Questions to consider for selection plan

Consideration Question

Purpose of the selection or sample

  • What audit question does each selection or sample address?
  • What item is the team examining (for example, file, case, project)?
  • What procedures will the team perform on each item selected?
  • How are errors or deviations defined?
  • How will the procedures performed contribute to concluding against the audit objective?

Population characteristics

  • What population is the team examining? For what period of time?
  • What is the size of the population?
  • How will the entity provide the population for selection to the team (Excel workbook, Access database, physical records stored on site)?
  • What procedures will the team undertake to provide assurance on the accuracy and completeness of data provided by the entity or through other sources (for example, review of entity data quality or data assurance program or controls, comparison with control totals, gap analysis, screening for extreme or invalid values)? See the questions listed related to reliability and accuracy of data in section OAG Audit 6020 Assessing the Reliability of Data.
  • If the team is using secondary evidence for sampling, how will it get assurance about the data integrity of the information it receives from others?
  • Are the characteristics of the population homogeneous? In other words, do they share similar attributes being tested?
  • If not homogeneous, what procedures will the team adopt to address this, particularly if audit sampling is used?

Framework for selecting items for review

The following chart provides a framework describing the types of item selection.

Exhibit 3—Framework for audit sampling and purposeful selection

Audit sampling

Audit sampling should be considered in the following circumstances:

  • There is a well-defined population that is relevant to the audit.
  • It is impractical to examine the entire population.
  • The population is accessible.
  • The representation of that population is reliable (that is, accurate and complete).
  • The team has the audit resources it needs.

Audit sampling is very efficient with medium and large populations, but it can be inefficient for small populations. If teams are considering audit sampling with populations of less than 100, they should consult with the OAG Internal Specialist, Research and Quantitative Analysis.

Confidence interval and confidence level

The OAG’s policy is that all audit sampling should be performed with a confidence level of 90% or above and a confidence interval of 10% or below based on the assessed risk of significant deviation from the applicable criteria used to measure or evaluate the audit objectives. The engagement team shall consider higher confidence levels and more precise confidence intervals when the risk of significant deviation from the applicable criteria is assessed to be high.

Two measures inform about how effective a sample is likely to be as an estimator of a population:  confidence interval and confidence level.

The confidence interval (also known as the margin of error) is the range of values with which the engagement team can be reasonably confident that the true population value resides, given the result from the sample. Smaller, or narrower, confidence intervals mean that there is greater precision around the estimate of a population. For example, the narrower confidence interval of +/-5 is more precise than the wider confidence interval of +/-10. In the first case, the engagement team may be confident that the true population value lies from 5 below the sample value to 5 above it. In the second case, the team would be confident only that the population value rests within the interval from 10 below the sample value to 10 above it, a much wider range. This wider range means that the confidence interval is less precise.

The confidence level is a statistical measure of the confidence that the true population value is within the specified confidence interval. The confidence level does not relate to the sample value. It relates to the confidence interval for the sample value.

Confidence level and confidence interval are closely interrelated, and both help to determine what the sample size should be. We typically compute our sample sizes so that we achieve particular targets for confidence interval and confidence level. Per our policy, when audit sampling is used, at a minimum, audit samples shall be sufficient to attain a confidence interval of 10% and a confidence level of 90%. Sampling for audits of high risk or sensitivity shall be sufficient to attain the confidence interval of 5% and confidence level of 95%.

So, given a sample value of 30% non-compliance, we might say that we are 90% confident that the true population value is between 10 less (20%) and 10 more (40%) using the OAG’s minimum requirements.

Expected error and tolerable error

Expected error is the best estimate of the error or deviation that exists in a population. Tolerable error is the criterion against which we are assessing the error or deviation we find. For example, if an entity has a performance standard that no more than 20% of transactions take longer than a target of 5 days, then the tolerable error would be 20 Teams might then look at prior years as a guide to expected error. For example, if the average percentage of transactions exceeding 5 days for the past 3 years was 5%, then teams might take 5% as an estimate of expected error. If, however, volume had sharply increased or processing had become more complex, teams might increase the expected error to account for these changes. As the expected error increases to approach the tolerable error, sample sizes can become very large. However, if teams underestimate expected error, they will need to go back and extend their sample, as the sample is then not sufficient in size to assess the population.

Types of audit sampling

There are 2 types of audit sampling: attribute sampling and variables sampling. Attribute sampling is the sampling approach most commonly used by direct engagement teams; variables sampling is more commonly used for financial audits.

Exhibit 4—Considerations for each type of sampling

Consideration Attribute sampling Variables sampling

Purpose

Assess the proportion of an attribute of interest to the auditor.

Extrapolate amounts or quantities.

Use

Can be used for both direct engagements and financial audit.

Most often used for financial audit.

Example

An attribute might be whether transactions are in error or not in error, whether individuals are male or female, whether offices are open or closed, or whether a control procedure was done properly or not.

The amount of error in salary among employees of the OAG.

Suitability

Not suitable for the extrapolation of amounts, such as dollars in error.

Not suitable for the extrapolation of the proportion of items in error.

Information needed

  • Confidence interval
  • Confidence level
  • Population size
  • Expected proportions for the attributes tested (for example, 50% error and 50% non-error)

If assessing against a criterion, the following information is also needed:

  • Tolerable error
  • Confidence interval
  • Confidence level
  • Population size
  • Estimated standard deviation of the variable being assessed or estimated

If assessing against a criterion, the following information is also needed:

  • Tolerable error

Sample size

Note that sample sizes are the largest when the attribute split is roughly 50%-50%.

Common methods to assess against a criterion value

  • Controls testing
  • Accept-reject testing

Regularly used for special examinations and financial audits.

Can be used for direct engagements.

Normally, controls testing and accept-reject testing are used when the expected error is 0 or very low.

See the OAG Audit 6050 in the Annual Audit Manual for more information on controls testing and 7043 for accept-reject testing.

  • Dollar unit sampling
  • Non-statistical sampling

Regularly used in financial audits.

Can increase the efficiency of variables sampling.

Can be used for direct engagements.

See OAG Audit 7044.2 in the Annual Audit Manual for more information on dollar unit sampling and OAG Audit 7044.1 for non-statistical sampling.

Sample size for items to be selected for review

Two common methods of attribute sampling are presented in the above table: Controls testing and accept-reject testing. References to the annual audit manuals are relevant except for the tables to help engagement teams identify the sample sizes for direct engagement.

Controls testing

Direct engagement sample sizes for controls testing slightly differ from those used in OAG Audit 6053 in the Annual Audit Manual. In order to obtain a high level of assurance, the sample sizes when testing a control are presented in the table below.

Exhibit 5—Sample sizes for high levels of assurance

Frequency of control Assumed population of controls Number of items to test for a high level of assurance at 90% confidence level Number of items to test for a high level of assurance at 95% confidence level

Annual

1

1

1

Quarterly

4

2

2

Monthly

12

2

5

Weekly

52

5

15

Daily

250

20

40

Multiple times per day

More than 250

25

60

Accept-reject testing

Direct engagement sample sizes for accept-reject testing differ greatly from those used in OAG Audit 7043.1 and are presented below.

Exhibit 6—Number of items to test for high levels of assurance

Desired level of assurance Number of items to test for 0 exceptions tolerated Number of items to test for 1 exception tolerated Number of items to test for 2 exceptions tolerated

High level of assurance (90%, 95%)

25, 60

40, 95

55, 135

Engagement teams can consult the OAG Internal Specialist, Research and Quantitative Analysis, to confirm the sampling approach when needed.

The Annual Audit Manual also includes useful information in section OAG Audit 6052 Nature of controls tests and in section OAG Audit 7043.1 A five step approach to performing accept-reject testing. While not directly applicable to direct engagements, engagement teams can consult those sections to deepen their knowledge and understanding of the nature of controls tests and the accept-reject testing.

Application of sampling methods

Both attribute and variables sampling can be applied in 2 ways: to estimate a population value or to assess against a criterion.

Exhibit 7—Descriptions and examples of application

Consideration Estimate a population value Assess against a criterion

Purpose

Intended to project the extent of error or deviation observed in the sample as an estimate of the population error or deviation. For example:

  • What is the average time to completion for construction projects commissioned by Defence Construction Canada (variables sampling)?
  • What proportion of construction projects were completed within their target (attribute sampling)?

Intended to assess whether errors or deviations in the population exceeded a specified criterion value. For example:

  • Did Immigration Refugees and Citizenship Canada meet its performance standard of no more than 20% of citizenship applications exceeding published performance standards (attribute sampling)?
  • Was the total misstatement in salary expenses at the OAG within 100,000 (variables sampling)?

It may not be appropriate to project the extent of error or deviation observed in the sample as an estimate of the population error or deviation. Teams should consult the data analytics and research methods team to learn about this option.

Example

Estimating the proportion of employees with errors in salary payments (attribute sampling) or the amount of error in salary payments (variables sampling).

Assessing whether the proportion of employees with errors in salary exceeds 10% (attribute sampling) or whether the amount of error in salary payment exceeds $500 million (variables sampling).

Use

Used for direct engagements and financial audits.

Sampling to assess against a criterion may provide efficiencies in performance audit.

This sampling is most often used for special examinations and financial audits

Purposeful selection

Purposeful selection is used to comment or conclude specifically on the items chosen for examination. Engagement teams performing direct engagements often encounter situations that are more amenable to purposeful selection, not audit sampling. This may be because significant portions of those populations are inaccessible to the audit, or the populations consist of many distinct smaller sub-populations. Also, the systems and processes and the controls that are applied to items in these 2 groups may be entirely different.

Exhibit 8—Types of purposeful selection

There are 2 types of purposeful selection: judgmental sampling and random sampling. Direct engagement teams often use a combined approach.

  1. Judgmental sampling relies on specific criteria that the team uses to select individual items for examination or to scope particular types of items for possible selection.
  2. Random selection is used when we do not have a particular approach in mind. Often, judgmental selection is used to define a particular set for potential examination, and then random selection is used to choose the items for examination.

A combined approach might alternate selections between a random item and the remaining highest-value item until all items have been selected.

Note: Engagement teams cannot extrapolate their findings to the overall population. Often, items are selected and examined as case studies, allowing auditors to focus on the particular aspects of each item that made it noteworthy for selection.

Documenting your sampling plan

Engagement teams document their detailed sampling plan including

  • a statement about what the evidence will allow the engagement team to report
  • the desired accuracy of the results
  • the population size
  • the size of the set of items or sample
  • the selection or sampling criteria