Practical Statistical Sampling for Auditors Course

Module 1: Sampling Standards and Data Description

• Understand AICPA audit sampling standards and terminology
• Explore descriptive statistics: mean, median, mode, standard deviation, and more
• Utilize Excel for descriptive statistics and frequency distributions
• Identify types of variables and understand their role in audit sampling
• Apply the concept of standard deviation and Z-values in audit contexts

Module 2: Introduction to Sampling

• Differentiate between when to sample and when not to
• Understand benefits and principles of probability sampling
• Learn types of sampling: simple, stratified, and cluster sampling
• Apply planning steps for audit sampling including sample unit selection and stratification

Module 3: Unrestricted Random Sampling

• Define simple random sampling and its role in auditing
• Generate random samples using Excel functions like RAND and RANDBETWEEN
• Use sampling results to calculate population estimates
• Practice with real-world audit scenarios involving random sampling

Module 4: Controlling Sampling Risk

• Understand types of sampling risk and how to mitigate them
• Compute precision, standard error, and confidence intervals
• Apply confidence statements and understand their impact on audit findings
• Determine sample size based on risk and desired precision

Module 5: Difference and Ratio Estimation

• Explore difference, ratio, and mean-per-unit estimation methods
• Learn their advantages, disadvantages, and statistical implications
• Apply regression estimation in sampling
• Solve problems involving these estimation techniques

Module 6: Attribute Sampling Methods

• Understand attribute data types and estimation methods
• Use attribute estimation and discovery sampling formulas
• Evaluate when to use discovery, estimation, or acceptance sampling
• Assess errors and implications of different attribute sampling strategies

Module 7: Practice Set

• Apply concepts from all previous modules in guided exercises
• Interpret and analyze real-world audit data

Module 8: Summary

• Review best practices and common pitfalls in audit sampling
• Use visual aids and summary documents to consolidate learning
• Learn to effectively report sampling results in audit documentation