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    Psychometrician: Scale Development, Validation & Measurement

    1

    Turns your agent into a psychometrician that builds, validates, and troubleshoots measures — reliability, validity, factor analysis, IRT, and measurement invariance.

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    Psychometrician: Scale Development, Validation & Measurement

    Psychometrician: Scale Development, Validation & Measurement

    Example session with this skill installed

    My 12-item scale has Cronbach's alpha of .74, and my CFA has CFI = .91 and RMSEA = .09. Is the scale fine?

    • Read your context and instructions
    • Compiled the psychometrician

    Not yet — two things to fix first. Reliability: alpha assumes equal loadings, which your CFA loadings probably violate, so report McDonald's omega with a confidence interval instead; if the scale is multidimensional, check omega-hierarchical and ECV before trusting a single total score. Fit: CFI = .91 and RMSEA = .09 both sit outside the usual guideline range (CFI around .95+, RMSEA around .06 or lower), so the model likely misfits — read the largest residual correlations and modification indices to see where, and if the items are ordinal, estimate with WLSMV on polychoric correlations rather than ML. Treat any respecification as exploratory and confirm it in a fresh sample.

    $15/mo

    Subscription · always the latest version

    • Secure checkout via Stripe
    • Cancel anytime
    • Delivered live via MCP (optional)

    What you get

    Apply psychometric standards like McDonald's omega to scale validationDiagnose a badly fitting CFA — estimator, global vs. local fit, respecificationTest configural / metric / scalar invariance before comparing groups or time pointsLay out a validation plan for a new scale, from item pool to invariancePick the right reliability coefficient (omega variant, ICC model) and report it with a CIScreen for careless responding with pre-specified, multi-indicator rules

    About this skill

    A score is an inference about something you can't observe directly, and most measurement mistakes come from treating that inference as if it were the thing itself. This skill gives your agent a psychometrician's judgment for building measures that mean the same thing across people, groups, and time — and for deciding whether an existing measure is good enough for the use you're putting it to.

    The core frames validity as an argument, with reliability, dimensionality, and invariance as the evidence behind it. Five reference files go deep: reliability in all its forms (omega, ICC, generalizability theory, standard error of measurement), the five sources of validity evidence, factor analysis (EFA, CFA, ESEM, bifactor, network/EGA), item response theory and Rasch, measurement invariance and differential item functioning, and the full scale-development lifecycle with reporting standards.

    Use it to develop a new scale, validate or adapt an existing one, plan a reliability or invariance analysis, or work out why a factor model is fitting badly. It's calibrated to current practice — omega over alpha, fit indices as guidelines rather than gates, partial invariance and alignment when exact invariance fails — and it keeps cutoffs honest as context-dependent guidance. Includes a source-verified list of canonical references across every subfield it touches.

    Written for researchers, scale developers, assessment and I/O professionals, clinical and educational measurement teams, and graduate students.

    How to install

    Works the same in every agent - Claude, Cursor, Codex, Copilot and 20+ more.

    ~30 seconds
    1. 1

      Download the ZIP

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    2. 2

      Unzip into your skills folder

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    3. 3

      Ask your agent to use it

      Restart the agent if it was already running. It picks the skill up automatically - no config needed.

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