Treat the scoring process as part of the measurement system
Design operational rubrics, distinguish disagreement from missing labels and true error, and preserve individual judgments rather than presenting consensus as unquestionable ground truth.
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The question for today
What you’ll understand
- Write scoreable criteria with examples and explicit abstention rules.
- Compute agreement on a stated jointly labeled denominator.
- Interpret rater distributions without equating consensus with factual validity.
Two annotators disagree about whether an answer is useful. One rewards completeness, while the other penalizes unsupported detail. Averaging their scores without examining the rubric conceals a measurement mismatch. Human evaluation needs operational criteria, relevant expertise, and a record of individual judgments. Disagreement can reflect mistakes, unclear instructions, missing context, or a legitimate diversity of interpretations. A release process should diagnose those possibilities rather than assume every dissenting label is noise or every majority verdict is objectively correct.
Make the rubric specific enough to apply
Define each dimension separately: factual support, task completion, instruction compliance, clarity, or another stated construct. Give positive, negative, and boundary examples, and specify whether a partially correct answer can receive credit. State which external sources or tools annotators may use and when they should abstain. Training and pilot annotation can reveal ambiguous instructions before the confirmatory evaluation. After a rubric revision, preserve its version and decide whether earlier cases need rescoring; mixing incompatible scoring definitions can create an apparent model change without a model change.
Blind model identity when it is irrelevant to the task, randomize presentation order where appropriate, and avoid exposing other annotators' votes before independent judgments are collected. Collect the context required by the rubric without revealing an intended answer through evaluator instructions. Annotators may need specialized knowledge for technical claims, while preference judgments can depend on the target user population. Document recruitment and qualification so the evaluated construct is clear. A panel drawn from one population is not automatically a representative measurement of another population's preferences.
Report disagreement and coverage with honest denominators
Raw agreement counts matching labels among jointly labeled cases. Report the number of eligible cases and jointly labeled cases as well, because easy cases may be more likely to receive complete labels. A high agreement rate after dropping unscoreable outputs can hide a low coverage rate. Chance-corrected or ordinal reliability summaries may answer additional questions, but none replaces inspecting which dimensions and slices generate disagreements. Use a declared treatment for ties, invalid responses, and abstentions, and retain the original labels when an adjudicator supplies a final operational decision.
For items with several ratings, the empirical distribution over categories describes the observed panel. It need not equal a probability that a factual statement is correct. Pavlick and Kwiatkowski show in textual inference that disagreement can persist rather than disappear with more judgments, motivating attention to distributions of plausible interpretations. For a support-assistant evaluation, distinguish a factual citation error from a legitimate disagreement about tone. Adjudication can resolve a release workflow, but its policy and evidence should remain visible instead of erasing uncertainty from the dataset.
Audit measurement changes as well as model changes
Reevaluate a fixed calibration set when recruiting a new annotation vendor, changing language instructions, or introducing a new rubric. Look for systematic shifts by annotator, task type, and response style, while protecting the final human holdout from tuning. Repeated ratings from the same person and multiple ratings of the same answer are not independent new deployment examples. Choose uncertainty units that match the inference goal. A genuine improvement in agreement may come from clearer measurement, but it should not be mislabeled as improved assistant quality.
The probability lab isolates an agreement-count assumption. Reset, set both p=0.8 and n=10, predict the expected number of agreements, then inspect. The mean is eight agreements for ten independent cases with stipulated constant agreement probability. The instrument has no annotators, categories, rubric, or truth labels, and its independence assumption may not hold for a real panel. It cannot decide whether agreement is valid or whether abstentions are selective. Use it to separate a modeled count from the substantive measurement process that produces the actual judgments.
Work it through
Agreement, coverage, and panel support are different summaries
A fictional pilot has twelve eligible answers. Two raters both provide valid categorical judgments on ten answers and agree on eight of those. Separately, one item has four valid panel votes: three acceptable and one unacceptable.
Raw pair agreement on the jointly labeled subset is 8/10=0.8, or 80%. Joint-label coverage of eligible answers is 10/12≈83.33%.
The four-vote item has empirical category shares (3/4, 1/4)=(0.75, 0.25). A majority rule would choose acceptable under the declared policy.
Neither the 80% agreement nor the 75% panel share proves factual correctness. Inspect the missing two cases and the dissenting judgment, and preserve the rubric and adjudication trail.
The pilot reports 80% raw agreement, approximately 83.33% joint-label coverage, and a separate item-level vote distribution. Keeping the denominators separate prevents consensus from being mistaken for complete or infallible evidence.
The living notebook
Explore the model
Interactive lab · probability
An agreement count does not validate a rubric
Reset, set both p=0.8 and n=10, predict, then inspect. The exact independent count has mean 8. The display has no rater identities, missing labels, rubric, or factual reference, and it does not compute reliability coefficients. Playback highlights possible counts without gathering annotations.
- Mean · np
- 5
- Variance · np(1−p)
- 2.5
- Total probability
- 1
These are exact binomial probabilities for independent trials with one fixed success probability. Playback tours the distribution; it does not resample outcomes. Parameter changes pause playback and recompute the model at the current elapsed time. Reset restores both parameters and returns time to zero. Playback starts paused. Adjust either parameter, then choose Play or Step.
Look forAgreement is a measured property of a specified annotation procedure. Its validity, missingness, and population relevance require separate evidence.
Pause & reason
Check your understanding
Your turn
Try it yourself
Two raters jointly label sixteen of twenty eligible answers and agree on twelve. Compute raw agreement and joint-label coverage. What should happen if there are no jointly labeled cases?
Take a moment to make a prediction or work it out on paper. Open a hint when you need one.
Give me a hint
Use sixteen as the agreement denominator and twenty as the coverage denominator.
Compare with the solution
Raw agreement is 12/16=75%, while joint-label coverage is 16/20=80%. If the jointly labeled set is empty, raw agreement is undefined and must be reported as unassessed rather than zero or perfect agreement. Investigate missing labels instead of hiding their denominator.
Keep the idea
Take it with you
- A rubric and annotation population define what human scoring measures.
- Agreement, coverage, category shares, and factual accuracy are different quantities.
- Retain disagreement and adjudication evidence when making an operational decision.
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