Module E + F Flashcards
Population
Entire group of items about which conclusion is desired in
Sampling application
Sampling
Process of making a statement about a population of interest
Based on examining only a subset (or sample) of that population
Sample
Subset of items drawn from population of interest
Example with sampling, population and sample
Sampling = taking an election poll Population = eligible voters
Sample = voters responding to pollster’s inquiries
Surveying every eligible voter is…
Not cost effective
What are the 2 major stages in an audit when sampling is used?
1 evaluating a client’s internal control
2 conducting substantive procedures
Sampling is typically used when the question of interest has what 2 characteristics?
1 need for exact information is not important
2 number of items comprising the population is large
Sampling trades effectiveness for…
Efficiency
Sampling is used when the gains associated with efficiency exceed…
The losses associated with effectiveness
Sampling risk
Likelihood that the decision made based on the sample
differs from the conclusion that would have been made if entire
Population had been examined
When decisions made based on sample differ from decisions
That would be made if the entire population had been examined…
Sampling error has occurred
How is a sampling error caused?
When sample drawn from population does not appropriately
Represent that population
Sampling risk is the likelihood of…
Sampling error
No representative sample
Sample that differs substantially on 1 or more key characteristics
Of interest from population where sample is drawn
3 major steps to control sampling risk to very low levels
1 determining appropriate sample size
2 ensuring all items have equal opportunity to be selected
3 evaluating sample results to control sampling risk
Controlling sampling risk: determining an appropriate sample size
As higher percentage of items in population is examined,
Sampling risk decreases
Controlling sampling risk: ensuring that all items have an equal opportunity to be selected
If items have equal opportunity of being selected, sampling risk
Decreases
Controlling sampling risk: evaluating sample results to control sampling risk
Results from sample are “adjusted”
to consider likelihood that the sample being evaluated doesn’t
appropriately represent the population
In an audit, sampling risk arises from…
Use of a nonrepresentative sample
Non sampling risk
probability that an incorrect conclusion will be reached
As result of reasons unrelated to the nature of the sample
No sampling risk typically occurs because of…
Errors in judgement or execution
Example of non sampling risk
If engagement team incorrectly measures the yardage, the sample
Average will be incorrect
And can result in inappropriate conclusion
In nonsampling risk, error is not caused by nonrepresentative
sample but by…
An evaluator error
In an auditing context, nonsampling error arises when auditors use…
An inappropriate procedure or misinterpret evidence they have
Obtained
Statistical sampling plans
Apply the laws of probability to selecting sample items for
Examination and evaluating Sample results
Control sampling risk and help gather appropriate evidence
Non statistical sampling plan
Does not apply the laws of probability to choose representative
Items for examination and evaluate the results
Does not allow an individual to control exposure to sampling risk
When do nonstatistical sampling plans make sense?
When dealing with a few individuals who have the largest accounts
Does GAAS require statistical sampling procedures?
No
What do auditors use more often statistical procedures or nonstatistical sampling procedures?
Nonstatistical sampling procedures
3 general stages of a sampling plan in order
1 planning
2 performing
3 evaluating
3 steps of planning when implementing a sampling plan
1 determine objectivity of sampling
2 define the characteristic of interest
3 define the population
3 steps of performing when implementing a sampling plan
1 determine the sample size
2 select the sample items
3 measure the sample items
1 final step of evaluating when implementing a sampling plan
Evaluate the sample results
determining the objective of the sampling application
Define with example
Directly related to question of interest
Ex. Doe wilsons golf balls increase distance?
Characteristic of interest
Define, example
Measure that will be obtained from sample items and eventually evaluated against some Criterion
Ex. Increase in distance (of golf ball)
Population example
Amateur golfers in the world
Important factor in determining sample size
Acceptable level of sampling risk
Example of selection of sample items
Select 50 amateur golfers
4 methods that can be used to select a sample
1 unrestricted random selection (random selection)
2 systematic random selection (systematize selection)
3 haphazard selection
4 block selection
Unrestricted random selection (random selection)
Audit team identifies series of random numbers from either a
Random number table or computer program
Selects the numbered item in corresponding population
Unrestricted random selection (random selection) example
Ex. If team identified 120, 268 and 341 from a computer program,
They would identify the 120th, 268th and 341st golfers from
Prenumbered listings for test
Systematic Random Selection (Systematic Selection)
Audit team randomly selects starting point from within the
Population and chooses the nth item thereafter
n is determined based on number of items in population
Sampling interval
2) What is it represented by?
Frequency with which items are selected
2) represented by n
How is a sampling interval calculated?
sampling interval = Items in Population/sample size
Limitation of systematic selection
Population must be randomly ordered
Haphazard selection
Items are selected in an unstructured manner, without any
Intentional bias
Ex. Identify items (golfers) as they arrive at the clubhouse, flip
Through roster from clubhouse until 50 golfers selected
Significant limitation of haphazard selection
Sampling method can’t be described in sufficient detail to permit
Another individual to replicate it
Block selection
Selecting a series of contiguous (or adjacent) items from the
population
Why is block selection less desirable?
It is difficult to efficiently obtain a representative sample
3 reasons why random or systematic selection is used with statistical sampling
1 provide sufficient likelihood of obtaining representative sample
2 allow probability of obtaining sample items to be determined
3 allow sample selection process to be replicated
Random or systematic selection allow sampling risk to be…
Measured and controlled to acceptable levels
In practice, computer software has greatly increased the…
Efficiency and effectiveness of selecting sample items
What selection method for sampling do auditors use most of the time?
Haphazard selection (a nonstatistical form of selection)
Example of measure the sample items
Ex. Having each golfer hit Wilson’s golf balls and compare the
Distance to a competitor’s golf balls
Evaluate sample results:
Precision AKA Allowance for sampling risk
Numeric distance from the estimated population value in which The true (but unknown) may lie with a given probability
Evaluate sample results:
Reliability AKA Confidence level
Likelihood of achieving a given level of precision
Ex. Reliability is 90%, which is equal to 100% less the acceptable
Sampling risk of 10%
Evaluate sample results:
precision interval
Range around sample estimate that has certain likelihood
(Equal to reliability) of including true population value
For every level of reliability a unique level…
Of precision exists
Audit sampling
Application of an audit procedure to less than 100 percent of items Within an account balance it class of transactions
For purpose of evaluating some characteristic of balance or class
Rate of deviation
Rate at which internal controls are not functioning
The audit team is interested in determining whether the rate at which internal control activities are not functioning (rate of deviation)…
Exceeds some permissible rate by the audit team
Tolerable rate of deviation
Permissible rate by an audit team
Ex. Permissible rate of deviation for internal controls not functioning
Attributes sampling
Rate of deviation exceeds some rate permissible by audit team
When using sampling in substantive procedures, the audit team’s objective is to determine…
Whether an account balance or class of transactions is recorded And presented according to GAAP
Audit sampling: substantive procedures
Audit team is determining whether amount of dollar misstatement In account balance/class of transaction exceeds permissible amount
Permissible misstatement
dollar misstatement In account balance/class of transaction exceeds permissible amount
Attributes sampling
Used when audit team examines a subset of items within a
Population
To determine extent to which a particular attribute exists within
That population
Audit study and evaluation of internal control (attributes sampling):
Objective
Determine whether internal control policies and procedures are
Functioning in preventing or detecting misstatements
Audit study and evaluation of internal control (attributes sampling):
Sampling unit
Instances where control policies or procedures should have been
Applied
Audit study and evaluation of internal control (attributes sampling):
Evaluation
Compare rate of deviation to tolerable rate of deviation
Audit application of substantive procedures (variables sampling):
Objective
Determine whether account balance or class of transactions is Fairly recorded
Audit application of substantive procedures (variables sampling):
Sampling unit
Transactions or components of account balances or classes of
Transactions
Audit application of substantive procedures (variables sampling):
Evaluation
Compare misstatement to tolerable misstatement
The audit team uses attributes sampling in evaluating the effectiveness of the client’s internal controls and assessing…
Control risk
Control risk
Likelihood that client’s internal control policies and procedures
Fail to prevent/detect material misstatement
How auditors decide if they can rely on internal controls:
In the planning stages of the audit, auditors assess control risk at…
A planned level
How auditors decide if they can rely on internal controls:
After planning, They perform tests of controls to determine whether controls are Functioning…
Consistent with planned level of control risk
5 procedures used to assess control risk
1 identify key controls to rely upon
2 make planned assessment of control risk
3 perform test of controls on key controls
4 assess effectiveness of key controls
5 confirm or reassess level of control risk
During the general procedure used by the audit team to assess control risk, when are a sample of controls examined?
Step 3: perform tests of controls on key controls
What step of assessing control risk is based on results of the sample of controls?
Step 4: assess effectiveness of key controls
Ultimate objective in attributes sampling?
Assess control risk