Variables Sampling Simulator

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Variables Sampling Simulator

An Interactive Guide to Substantive Testing of Account Balances

Module 1: Understanding Variables Sampling Plans

Variables sampling is used to estimate a numerical value, like an account balance. Auditors use different methods to project the "true" value of a population based on a sample.

Mean-Per-Unit (MPU) Estimation

Calculates the average audited value of the items in the sample and multiplies it by the total number of items in the population to estimate the total population value.

Ratio Estimation

Uses the ratio of the sample's total audited value to its total book value. This ratio is then applied to the entire population's book value. Most efficient when errors are proportional to book values.

Difference Estimation

Calculates the average difference between audited and book values in the sample. This average difference is then projected to the entire population to estimate the total misstatement.

Module 2: Sample Size Factors

The size of the sample is driven by several key judgments and characteristics. Use the sliders to see how each factor impacts the required sample size.

The maximum error you can accept. (Higher amount = smaller sample)

Your best guess of the error before you start. (Higher amount = larger sample)

How spread out the values are. (Higher variability = larger sample)

Calculated Sample Size:

125

Module 3: Evaluate Sample Results & Project Misstatement

After auditing the sample items, the auditor projects the findings to the entire population to estimate the total misstatement. This projected misstatement is then compared to the tolerable misstatement. Click the button to evaluate the sample results below.

Audit Sample Data

Population Size (items): 5,000
Population Book Value: $4,500,000
Sample Size (items): 200
Sample Book Value: $184,200
Sample Audited Value: $175,000
Tolerable Misstatement: $150,000

Projected Results & Conclusion

Click "Evaluate Results" to see the projections.
COCOMOCPA

Financial Controller / CPA

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