University of Auckland · FACULTY OF STATISTICS

STATS100 Chap.6 Data Sources, Missingness and Ethics

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Chapter 6 of 9 · STATS100

Data Sources, Missingness and Ethics

Define data provenance

The course material gives this chapter a concrete anchor: Week 7 names sourcing, exploring data and ethics in one unit, so provenance and missingness affect the statistical claim rather than appearing as an endnote.

That data provenance anchor controls how missingness rate is explained and how data ethics is tested in changed practice.

Data Sources, Missingness and Ethics is a quantitative decision problem built from data provenance, missingness rate and data ethics.

The aim is to audit a data source and quantify missingness before choosing a population claim; a numerical result earns meaning only when the variables, units, assumptions and comparison are all explicit.

Begin with data provenance: state what quantity it represents, the scale on which it is measured and the condition under which it changes.

Then map every symbol in the Data Sources, Missingness and Ethics formula checkpoint to data provenance before calculation begins.

Next connect missingness rate to the calculation. Show the missingness rate transformation line by line, preserve units and signs, and make any denominator or baseline visible.

A missingness rate calculator output is not a method; the reader must be able to reconstruct why that operation answers the question.

Use data ethics to interpret or stress-test the result. Ask whether the data ethics magnitude is plausible, whether a boundary case behaves as expected and which conclusion would reverse if an assumption changed.

This is where computation becomes analysis rather than arithmetic.

When the task is to audit a data source and quantify missingness before choosing a population claim, separate inputs supplied by the problem from quantities you derive.

Then report the data ethics result in the language of the course and attach the relevant uncertainty, limitation or decision consequence.

Formula checkpoint

Missingness rate
rmiss=nmissingneligibler_{\mathrm{miss}}=\frac{n_{\mathrm{missing}}}{n_{\mathrm{eligible}}}

The eligible denominator must be defined before comparing groups; a small overall rate can conceal concentrated missingness in a subgroup.

Trace missingness rate

Build a representation check before solving.

Put data provenance, missingness rate and data ethics into a small symbol-and-units table, mark which values are observed and which are calculated, and predict the direction of the result before doing arithmetic. An data provenance sign, scale or unit mismatch then becomes visible at setup instead of being hidden inside a polished final number.

Run one sensitivity test after the baseline answer.

Change the input most closely connected to missingness rate, hold the remaining assumptions fixed and recompute only the affected steps. Explain whether the movement in data ethics matches the mechanism.

This missingness rate sensitivity shows which assumption controls the conclusion and prevents a single scenario from being presented as universal.

Use a three-column data provenance error log for STATS100: translation error, calculation error and interpretation error.

Record the exact line where the missingness rate solution first diverged, rewrite that line, and check it with a limiting case or an independent calculation.

Correcting the first failed missingness rate move is more useful than copying the complete solution again.

A complete response should make the task visible before the detail: identify what must be decided, define the relevant terms, connect the evidence to missingness rate, and use data ethics to test the result.

The final sentence about data ethics should answer the question actually asked rather than merely repeat the topic.

The controlling limit is specific: A low missing fraction does not prove missing values are harmless when their absence is systematically related to the outcome.

Keep that data ethics limit beside the worked example, because it separates a careful STATS100 answer from one that sounds confident but claims more than the task or evidence supports.

For revision, retrieve data provenance, missingness rate and data ethics without notes, explain their relationship aloud, then complete a changed version of the application: audit a data source and quantify missingness before choosing a population claim.

Record the first failed missingness rate reasoning move and repair it before attempting another case.

In this chapter

What this chapter covers

  • 01

    data provenance

  • 02

    missingness rate

  • 03

    data ethics

  • 04

    Applying data provenance

  • 05

    Limits of missingness rate and data ethics

Worked example · free

AskSia practice: apply Data Sources, Missingness and Ethics

Q [4 marks]. AskSia-authored four-point reasoning drill: how should a student audit a data source and quantify missingness before choosing a population claim? This is not a University question or marking scheme.
  • 1Define data provenance in the scenario.
  • 1Explain the mechanism using missingness rate.
  • 1Test the conclusion with data ethics.
  • 1State a qualified decision and review signal.
A strong response identifies the relevant evidence, uses missingness rate as the explanatory link and tests the recommendation through data ethics. It ends by stating that a low missing fraction does not prove missing values are harmless when their absence is systematically related to the outcome.
Sia tip — The four points are AskSia-authored practice weighting only.
Glossary

Key terms

data provenance
The documented origin, collection, processing and custody history of data. Use this definition when the task is to audit a data source and quantify missingness before choosing a population claim.
missingness rate
The fraction of eligible values absent for a variable or record set. Use this definition when the task is to audit a data source and quantify missingness before choosing a population claim.
data ethics
Principles governing consent, privacy, representation, fairness, stewardship and consequence in data work. Use this definition when the task is to audit a data source and quantify missingness before choosing a population claim.
FAQ

Data Sources, Missingness and Ethics FAQ

What is the main task in Data Sources, Missingness and Ethics?

Audit a data source and quantify missingness before choosing a population claim.

How do data provenance and missingness rate work together?

Use data provenance to establish the object or condition, then use missingness rate to explain how it changes the outcome being analysed.

What must a STATS100 answer qualify here?

A low missing fraction does not prove missing values are harmless when their absence is systematically related to the outcome.

How should I revise Data Sources, Missingness and Ethics?

Retrieve data provenance, missingness rate and data ethics, apply them to a changed case, and correct the first point where the evidence no longer supports the conclusion.

Study strategy

Exam move

Reconstruct the relationship among data provenance, missingness rate and data ethics; complete the chapter application without notes; then test the result against this limit: A low missing fraction does not prove missing values are harmless when their absence is systematically related to the outcome.

Working through Data Sources, Missingness and Ethics in STATS100? Sia is AskSia’s AI Statistics tutor — ask any STATS100 Data Sources, Missingness and Ethics question and get a clear, step-by-step explanation grounded in how STATS100 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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