Can you give a language model a validated scale?

A walkthrough of a psychometric study: administering a risk-attitude instrument to models item by item, checking internal consistency and alternate-forms reliability, probing for training-data contamination, and working through a validity checklist before believing a single score.

Stage 1 · Hypothesis

Measurement first, claims second

It is easy to feed a model a questionnaire and report a score. It is much harder to show the score means anything. This study inverts the usual order: the primary hypotheses are about measurement properties, and only the secondary one is substantive.

Hypotheses registered for this study
IDPrediction
H1 (reliability)Item responses to a 10-item risk-attitude scale will show acceptable internal consistency (Cronbach's α ≥ .70) within each model.
H2 (alternate forms)Scores on the original items and on paraphrased alternate-form items will correlate strongly, indicating the construct — not the exact wording — drives responses.
H3 (substantive, conditional)If H1 and H2 hold, models will differ systematically in mean risk-attitude scores.

Stage 2 · Design

Items as a factor, one item per trial

Because every AIScholar trial is a single prompt and a single response, the instrument is administered one item per trial — which is also the methodologically cleaner choice, since it prevents earlier items from contaminating later answers within a context window.

Design summary
Design elementChoice
Factorsitem (10 levels) × form (original, alternate) × model (3 OpenRouter models)
Crossing strategyFull factorial
Replications25 per cell — each model answers each item 25 times, giving a response distribution per item
Expected outputNumeric 1–7, range-validated at extraction
Trial count10 items × 2 forms × 3 models × 25 replications = 1,500 trials

Treating replications as the unit of analysis is the key departure from human testing: a person answers an item once; a model's "answer" is a distribution, and the study analyzes its central tendency and spread.

Stage 3 · Prompts

Neutral administration, versioned items

Each item is a snippet; the alternate form binds paraphrased versions of the same items. The administration wrapper is deliberately minimal to avoid persona effects:

Prompt template (all conditions)
Please respond to the following statement on a scale
from 1 (strongly disagree) to 7 (strongly agree).
Reply with a single number only.

Statement: {{scale_item}}
Example item snippet versions
Snippet · versionBound toText
scale_item_3 · v0form = original"I would take a job with variable pay over one with a fixed salary."
scale_item_3 · v1form = alternate"Given the choice, I'd pick work where my earnings fluctuate rather than a set wage."

Stage 4–5 · Execution & Collection

Range-validated numbers, flagged refusals

The numeric output declaration (valid range 1–7) means extraction, range checks, and the rescue parse are automatic. Responses like "As an AI, I don't have preferences…" are classified as refusals rather than silently dropped — and the per-condition refusal rate becomes reportable data. A pilot run (one trial per cell) checks formats before the planned 1,500-trial run. Review estimated costs first: provider rates and model availability vary, and subject calls use your OpenRouter key.

Stage 6 · Coding

Contamination probes before you trust the scores

A published scale may have appeared in training data, and exposure cannot be ruled out. The study therefore runs AIScholar's contamination toolkit alongside the main design:

Contamination assessment steps
CheckWhat it does
Memorization probePrompts each model with truncated scale items and records verbatim completions as a possible sign of item familiarity, not proof of memorization.
Modified-item generationGenerates content-matched items with different wording for follow-up checks; their novelty to a model cannot be guaranteed.
ICL detectionScreens responses for signs the model recognized the instrument and is role-playing "how one answers this famous scale".

Stage 7 · Analysis

Reliability, then the validity checklist

The analysis stage computes Cronbach's α and split-half (Spearman-Brown) reliability per model, alternate-forms correlations across the two item sets, and only then — if measurement holds — the substantive model comparison.

Illustrative reliability table (what the output looks like — not real findings)
ModelCronbach's αSplit-halfAlternate-forms r
Model A.84.81.77
Model B.71.68.52
Model C.43.39.21

These numbers are illustrative

An illustration like Model C's row is a warning: low reliability would make a summary "risk attitude" score difficult to interpret under this procedure. These numbers show the output shape, not findings from a real run.

The Psychometric Validity Checklist (after Löhn et al., 2024) is filled in from these results, item by item, and travels with the project into the write-up.

Stage 8 · Write-Up

Reporting scores you can defend

The drafted Method section documents the one-item-per-trial administration, sampling parameters, and contamination checks for expert review. The reproducibility package carries the full item text (original, alternate, and any generated modified items) with the trial-level data.

Stage ✓ · Honest limits

What this design can and cannot claim

Even with strong reliability, a model's scale score is a property of its response distribution under this administration procedure — not evidence of an inner disposition. Construct validity against external criteria (does the "risk score" predict risky choices in other tasks?) needs a separate study — the persona × task factorial is a natural companion for that. Sampling temperature also shapes score spread, so report it as part of the measurement procedure, not a nuisance detail.

  • Cronbach's α
  • Alternate forms
  • Contamination checks

Explore a study of your own.

These walkthroughs illustrate methods, not ready-to-run templates. Plan and review your own design before collecting responses.