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20 Cards in this Set

  • Front
  • Back

For what kind of variables is variables sampling used for?

continuous variables

What is the objective in variables sampling?

to estimate the dollar value of the population

what kind of information does variables sampling provide?

whether a stated amount (balance of account receivables) is materially misstated after the IA has specified a range that includes the true value at a specified confidence level

which variables sampling techniques may be employed?

- unstratified mean-per-unit (MPU)


- stratified mean-per-unit


- difference estimation


- ratio estimation

how does the mean-per-unit estimation method work, if a sample of 10 (out of 200) accounts with a recorded amount of $50 (total recorded amount is $2000) is audited, and based on the sample the total amount of the 10 accounts is $110?

- average amount per sampled item: $110/10=$11


- estimated correct balance of the population: 200x$11=$2200


- then an achieved precision at the desired level of confidence is calculated

What can be concluded if the sample was based on a 10% precision and a 95% confidence level?

the probability is only 5% that the true total amount of the 200 accounts is outside the range of 2000 and 2400

What is a stratified MPU estimation?

MPU estimation based on a group of items that was separated from the total population

What is the stratified MPU good for?

to increase audit efficiency by reducing the variability within each group and allowing for a smaller overall sample size

When are the two MPU sampling methods most appropriate ?

- when only a few errors in the population are expected

how does the difference estimation method work, if a sample of 10 (out of 200) accounts with a recorded amount of $50 (total recorded amount is $2000) is audited, and based on the sample the total amount of the 10 accounts is $60?

- average difference per account between the audited amount and recorded amount: ($60-$50)/10=$1


- estimated population error: $1x200=$200


- estimated correct balance: $2000+$200=$2200

how does the ratio estimation method work, if a sample of 10 (out of 200) accounts with a recorded amount of $50 (total recorded amount is $2000) is audited, and based on the sample the total amount of the 10 accounts is $60?

- ratio of the audited amount and the recorded amount : $60/$50=1,2


- estimated correct balance: 1,2x$2000=$2400

When are difference estimation and ratio estimation useful?

- when many small errors predominate and the errors are not skewed

When is ratio estimation preferable to MPU?

when the standard deviation of the distribution of ratios is less than the standard deviation of the sample item amounts

When is ratio estimation preferable to difference estimation?

when differences are proportional

How does monetary-unit sampling (MUS) work?

- the sampling unit is a unit of money rather than an invoice or an account


- an item (invoice, account, etc.) containing the specific monetary unit is selected for testing

How is MUS also called?

probability-proportional-to-size (PPS)

When is MUS appropriate?

- when some items in account balances may be far larger (overstated) than others in the population


- when only a few misstatements are expected

When is MUS inefficient?

when understatements and negative amounts are expected

What may be the objective of MUS with regard to a total recorded amount of accounts receivable ($2000)?

that is not overstated by more than 3% with a confidence level of 95%

What does the application of the difference estimation and ratio estimation require?

that the audit amounts of balances are proportional to the carrying amounts