Measurement uncertainty budget

Uses first-order propagation with your sensitivity coefficients and standard-uncertainty conversions.

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Uses first-order propagation with your sensitivity coefficients and standard-uncertainty conversions. State that the inputs are independent, or give a full correlation matrix. Exact decimal LDL rejects indefinite matrices, and signed variance contributions can be negative. Your own k does not automatically give 95% coverage. Use 1 to 20 contributions. This is not a calibration or engineering approval.

Model, grammar and limits

u𝚌²=wᵀCw; wⱼ=cⱼuⱼ; u=a/√3, a/√6, U/k; U=ku𝚌

Limits: 256000 raw data characters, 5000 source records and 50000 cells in total; decimals up to 48 characters; up to 20 groups or contributions and 50 columns. Limits for exact and bootstrap methods are stated with each tool. Parsing and resource checks run before the calculation, and the worker stops after 15 seconds. Editing, canceling or resetting discards pending results.

Check assumptions, ties and missing values before drawing conclusions. Results show 10 significant digits; CSV keeps the numeric values and units. Exact enumeration means exact counts, not exact displayed decimals. Numerical tail zeros, floors and unavailable intervals are labeled. Nothing here is a diagnosis, proof of causation or validity approval.

Your data stays in this browser. The calculation runs in a local worker, and CSV and backup files are local downloads you choose to make. Your data is not sent anywhere or saved silently, so keep your original data. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.

Uncertainty contributions

Use the chosen model

  1. Model, grammar and limits

    Uses first-order propagation with your sensitivity coefficients and standard-uncertainty conversions. State that the inputs are independent, or give a full correlation matrix. Exact decimal LDL rejects indefinite matrices, and signed variance contributions can be negative. Your own k does not automatically give 95% coverage. Use 1 to 20 contributions. This is not a calibration or engineering approval.

  2. Calculate

    u𝚌²=wᵀCw; wⱼ=cⱼuⱼ; u=a/√3, a/√6, U/k; U=ku𝚌. Limits: 256000 raw data characters, 5000 source records and 50000 cells in total; decimals up to 48 characters; up to 20 groups or contributions and 50 columns. Limits for exact and bootstrap methods are stated with each tool. Parsing and resource checks run before the calculation, and the worker stops after 15 seconds. Editing, canceling or resetting discards pending results.

  3. Download CSV report

    Check assumptions, ties and missing values before drawing conclusions. Results show 10 significant digits; CSV keeps the numeric values and units. Exact enumeration means exact counts, not exact displayed decimals. Numerical tail zeros, floors and unavailable intervals are labeled. Nothing here is a diagnosis, proof of causation or validity approval. Your data stays in this browser. The calculation runs in a local worker, and CSV and backup files are local downloads you choose to make. Your data is not sent anywhere or saved silently, so keep your original data. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.

Model questions

Model, grammar and limits

Uses first-order propagation with your sensitivity coefficients and standard-uncertainty conversions. State that the inputs are independent, or give a full correlation matrix. Exact decimal LDL rejects indefinite matrices, and signed variance contributions can be negative. Your own k does not automatically give 95% coverage. Use 1 to 20 contributions. This is not a calibration or engineering approval. u𝚌²=wᵀCw; wⱼ=cⱼuⱼ; u=a/√3, a/√6, U/k; U=ku𝚌

Unit

Contribution correlation; Data matrix, one row per record; Own coverage factor k (1); Measurement / score unit; Uncertainty / half-width input; Contribution input unit; Sensitivity coefficient (output unit/input unit); Uncertainty input profile; Input coverage divisor k (1). Limits: 256000 raw data characters, 5000 source records and 50000 cells in total; decimals up to 48 characters; up to 20 groups or contributions and 50 columns. Limits for exact and bootstrap methods are stated with each tool. Parsing and resource checks run before the calculation, and the worker stops after 15 seconds. Editing, canceling or resetting discards pending results.

Model results

Check assumptions, ties and missing values before drawing conclusions. Results show 10 significant digits; CSV keeps the numeric values and units. Exact enumeration means exact counts, not exact displayed decimals. Numerical tail zeros, floors and unavailable intervals are labeled. Nothing here is a diagnosis, proof of causation or validity approval.

Download input backup

Your data stays in this browser. The calculation runs in a local worker, and CSV and backup files are local downloads you choose to make. Your data is not sent anywhere or saved silently, so keep your original data. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.