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When Ms. Iyer is auditing a client with 12,000 sales invoices, checking every single one is impractical. So she picks a sample — a carefully chosen subset — and draws conclusions about all 12,000 based on what she finds in that sample. This is audit sampling, governed by SA 530 (Audit Sampling) under the ICAI curriculum. The core idea: if your sample is representative, your conclusion about the full population is reliable.

Sampling falls into two families. Statistical sampling uses probability theory — every item has a known, non-zero chance of selection, and the auditor can mathematically measure sampling risk (the risk that the sample conclusion differs from what a 100% check would reveal). Non-statistical sampling relies on professional judgement — no mathematical projection is made. Both are permitted under SA 530, but statistical sampling is more defensible and objective. Within these families, four specific methods matter for your exam:

Random sampling — every item has an equal chance; uses random number tables or computer tools. Most unbiased. Systematic (Interval) sampling — select a random start point, then pick every nth item. If the population is 6,000 and sample size is 100, the interval is 60. Fast and practical, but dangerous if the population has a repeating pattern matching your interval. Haphazard sampling — the auditor selects items without a structured method but also without conscious bias. This is not the same as random sampling — there's no equal probability of selection. Used only in non-statistical contexts. Stratified sampling — split the population into layers (strata), e.g., invoices above ₹10 lakhs and below ₹10 lakhs, then sample each layer separately. High-value items get heavier coverage. Extremely common in practice.

Two risks always accompany sampling. Sampling risk — the gap between your sample conclusion and the true population position — decreases as sample size increases. Non-sampling risk — errors from applying the wrong procedure or misreading a document — is unaffected by sample size; it's controlled through training and supervision. Sample size itself goes up when: tolerable misstatement is low, expected misstatement is high, confidence level required is high, or population size is large. These four drivers are a favourite MCQ trigger in Paper 5.

📊 Worked example

Example 1 — Systematic Sampling Interval

Mr. Sharma is auditing purchases of Reliable Traders Ltd. The purchase ledger has 6,000 entries. He decides a sample of 150 items is sufficient.

Step 1 — Calculate the interval:

Interval = Population ÷ Sample Size = 6,000 ÷ 150 = 40

Step 2 — Pick a random start between 1 and 40:

Mr. Sharma uses a random number table and gets 17.

Step 3 — Select items:

Item 17, Item 57, Item 97, Item 137 … and so on up to Item 5,977 (the last selected before 6,000).

Total items checked: 150. Each item was selected at a fixed interval of 40, starting from a random point — this is systematic sampling.

⚠ Watch out: If supplier invoices happen to be filed in cycles of 40 (e.g., monthly batches of 40 always end with a large adjustment entry), every selected item could be an adjustment entry — your sample is no longer representative. This is the key weakness of systematic sampling.

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Example 2 — Stratified Sampling (Coverage Rationale)

Ms. Iyer is sampling 800 debtors of Pinnacle Exports Pvt. Ltd. The outstanding balances are:

| Stratum | Balance Range | No. of Debtors | Total Outstanding |

|---|---|---|---|

| High value | Above ₹5,00,000 | 50 | ₹3,20,00,000 |

| Low value | ₹1 – ₹5,00,000 | 750 | ₹80,00,000 |

Total outstanding = ₹4,00,00,000

Ms. Iyer decides: check all 50 high-value debtors (100% coverage of ₹3,20,00,000) and a sample of 75 from the 750 low-value debtors (10% of that stratum).

High-value stratum covers ₹3,20,00,000 ÷ ₹4,00,00,000 = 80% of total value with only 50 items checked.

Final answer: Total sample size = 50 + 75 = 125 debtors, covering 80%+ of monetary value — efficient and risk-focused.

⚠️ Common exam mistakes

  • Confusing haphazard with random sampling — Students write that haphazard selection gives every item an equal chance of selection. Wrong. Random sampling ensures equal probability through a structured mechanism (random numbers). Haphazard is judgement-based with no such guarantee.
  • Mixing up sampling risk and non-sampling risk — Don't say 'increasing sample size reduces all audit risk.' Only sampling risk reduces with a larger sample. Non-sampling risk (wrong procedure, oversight) is unrelated to sample size — address it through quality control.
  • Forgetting the four factors that increase sample size — A common MCQ trap is saying 'higher expected misstatement means smaller sample.' It's the opposite: if you expect more errors, you need a larger sample to find them. Remember: low tolerable misstatement + high expected misstatement + high confidence needed = bigger sample.
  • Calling systematic sampling 'random' — Systematic sampling is not random sampling. In random sampling every item has an equal and independent chance. In systematic sampling, only the starting point is random; after that, selection is mechanical. Examiners penalise loose use of this term.
  • Ignoring the stratification logic in theory answers — When explaining stratified sampling, students often skip why strata are formed. Always state the purpose: to give higher-risk or higher-value items more audit attention while keeping overall sample size manageable.
📖 Reference: Audit Sampling — Institute of Chartered Accountants of India
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