σ Statistics · AS 91266 · 2.5

Evaluating a statistically based report (internal)

Internal 2 credits Sampling error Non-sampling error Margin of error Purpose Claims

AS 91266, 2 credits. Read a real published report — often a poll — and evaluate it. The standard is explicit: identify and comment on features and findings relevant to the report's PURPOSE, and Merit supports those comments with statistical evidence — a different shape from the "each component" ladder the rest of L2 statistics uses.

Reference sheet →

1 Reading the notation

A different shape from the rest of L2 statistics: identify → justify with evidence → assess overall quality against purpose.

📖 Terms the schedule grades you on

4 terms
Evaluate (Achieved)
Identify and comment on features/findings relevant to the report's purpose.
With justification (Merit)
Support comments with reference to statistical evidence and the statistical processes used.
With statistical insight (Excellence)
Integrate statistical and contextual information to assess QUALITY in terms of purpose.
Named features (note 3)
Population measures/variables; sampling methods; survey methods; sampling and non-sampling errors; sample size.

2 Sampling error vs non-sampling error

Only one of the two shrinks with a bigger sample. ✕

Assuming a bigger sample fixes everything

A huge sample with a biased sampling frame, badly worded questions, or heavy non-response is still confidently wrong — size only addresses sampling error. Naming a specific NON-sampling error is usually the stronger evaluation point.

3 The margin of error

What it covers, what it does not, and the rough n rule.
AskWhat to look forWhat it undermines
What is the margin of error?Quoted, and appropriate for nAny claim of a small difference
Do two figures actually differ?Whether their margins overlapA headline claiming a lead or trend

Two well-evidenced points beat seven asserted ones in a 2-credit standard. Pick the faults that actually threaten the report's main claim.

4 Purpose, method, and who is missing

Comments must be relevant to what the report is actually trying to establish.
AskWhat to look forWhat it undermines
Who was sampled, and how?Random, quota, self-selected, convenienceGeneralisation to the population
Who is missing?Coverage of the sampling frameRepresentativeness
What was the response rate?Non-response biasWhether respondents resemble non-respondents
Who paid for it?Selective emphasisWhich findings got reported
Does the claim match the data?Causation asserted from a surveyThe headline conclusion

Practice

Recall it first, then use it — testing yourself builds the memory, where rereading the notes above only feels easier.

Recall and application shuffled together — you have to work out what each item wants before you can answer it, which is the part the exam actually tests. Both kinds feed the same spacing schedule, so anything you miss comes back sooner.

Say the answer out loud before flipping — that attempt is where the learning happens, even when you get it wrong.

Exam-style only. Instant feedback, shuffled each attempt, best score saved on this device.

Past exams & resources

NZQA 91266 assessment resources Internal — check the current standard and Conditions of Assessment