Calculators

Engineering calculators

36 tools

Tolerance, uncertainty, and engineering analysis tools.

Cochran's C Calculator Compute ISO 5725-2 Cochran's C from k≥2 stated laboratory sample standard deviations. Runs locally. Not pooled s_p, not Hartley's F_max, and not a tabulated Ccrit pass/fail.
Conformity Decision Rule Calculator Apply a binary ILAC G8-style decision to a measured value y: simple acceptance (w=0) or guarded acceptance (LSL+w ≤ y ≤ USL−w). Runs locally. Not JCGM 106 risk tables and not TUR.
Coverage Factor Calculator Compute the two-sided Student-t coverage factor k from degrees of freedom ν and confidence p. Infinite ν uses the normal quantile. Runs locally. Not expanded U = k·u_c.
Gauge Capability Calculator (Cg / Cgk) Compute Type-1 Cg and Cgk from repeats on a master, a reference xm, and the characteristic tolerance. frac defaults to 0.2. Runs locally. Not AIAG GRR and not process Cp/Cpk.
Gauge R&R Calculator Compose AIAG Gauge R&R from EV, AV, and PV: GRR, TV, %GRR, and ndc. Optional range-method EV = R̄/d2. Runs locally. Not a full ANOVA study.
Guard Band Calculator Compute a simple guard band GB=k·u and optional acceptance limits USL−GB and LSL+GB. Runs locally. Not ILAC G8 risk-based decision rules.
Inverse-Variance Weighted Mean Calculator Combine independent results of the same measurand with the GUM H.3 inverse-variance weighted mean. Runs locally. Not combined RSS, not Type A u_A, and not GUM propagate.
ISO 5725 Reproducibility Calculator Compute the ISO 5725 reproducibility limit from stated components s_r and s_L: s_R = √(s_r²+s_L²), R = 2.8·s_R. Runs locally. Not r from a sample, not AIAG GRR, and not combined RSS.
Maximum Permissible Error Calculator Decide whether a measured value meets the VIM maximum permissible measurement error: pass iff |ylab−xref| ≤ MPE. Runs locally. Not an ILAC G8 spec decision, not En, and not ε-only.
Measurement Bias Calculator Compute VIM trueness as the signed bias = x̄ − xm from repeats on a master. Runs locally. Not a single-shot measurement error, not Type A u_A, and not Cg.
Measurement Error Calculator Compute the VIM signed measurement error ε = ylab − xref and the relative error ε/xref. Runs locally. Not percent error, not En, and not a z-score.
Measurement Precision Calculator Compute ISO 5725 repeatability from a sample: s, CV = s/|x̄|, and r = 2.8·s. Runs locally. Not Type A u_A, not Gauge R&R EV, and not percent CV.
Monte Carlo Tolerance Calculator 1-D Tolerance Analysis Workspace: dimensional Monte Carlo with asymmetric ±tol, correlations, sensitivity ranking, σ convergence, LSL/USL yield, simulated capability, and immutable Freeze snapshots.
MSA Hysteresis Calculator Compute VIM / MSA hysteresis as the maximum absolute difference between increasing and decreasing indications at index-paired stations. Runs locally. Not OLS linearity, not a %Hysteresis pass/fail, and not Gauge R&R.
MSA Linearity Calculator Fit ordinary least squares of measurement error ε = ylab − xref versus xref. Reports slope, intercept, and r². Runs locally. Not a single-master bias, not Type-1 Cg, and not a %Linearity pass/fail.
Normalized Error Calculator Compute the proficiency-testing normalized error En from a laboratory result, a reference value, and two already-expanded uncertainties. |En| ≤ 1 is pass. Runs locally. Not zeta, not TUR, and not an ILAC G8 spec decision.
Pooled Standard Deviation Calculator Compute a pooled standard deviation from k≥2 stated sample s_i and their degrees of freedom ν_i. Runs locally. Not Type A from one sample, not Welch–Satterthwaite ν_eff, and not ISO 21748 u of a mean.
Process Capability Calculator (Cp / Cpk) Compute design-stage Cp, Cpk, Cpu, and Cpl from process mean, σ, LSL, and USL. Runs locally in your browser. Not Monte Carlo simulated capability.
Process Capability Cpm Calculator Compute Taguchi Cpm from μ, σ, LSL, USL, and a target. Runs locally. Not Cp/Cpk, not Pp/Ppk, and not a 1.33 verdict.
Process Capability Cpmk Calculator Compute Taguchi Cpmk from μ, σ, LSL, USL, and a target. Runs locally. Not Cpm, not Cpk, not Ppm, and not a 1.33 verdict.
Process Performance Calculator (Pp / Ppk) Compute overall Pp, Ppk, Ppu, and Ppl from process observations, LSL, and USL. σ is the overall sample s. Runs locally. Not design-stage Cp/Cpk and not Type A u_A.
Process Performance Ppm Calculator Compute overall Taguchi Ppm from observations, LSL, USL, and a target. Runs locally. Not design-stage Cpm, not Pp/Ppk, and not a 1.33 verdict.
Process Performance Ppmk Calculator Compute overall Taguchi Ppmk from observations, LSL, USL, and a target. Runs locally. Not Cpmk, not Ppk, not Ppm, and not a 1.33 verdict.
Proficiency-Testing z-Score Calculator Compute the ISO 13528 proficiency-testing z-score from a laboratory result, an assigned value, and the scheme SDPA σ_pt. |z| ≤ 2 is pass. Runs locally. Not zeta, not En, and not an ILAC G8 spec decision.
Proficiency-Testing z′ Calculator Compute the ISO 13528 z′ score from a laboratory result, an assigned value, the scheme SDPA σ_pt, and the standard uncertainty of that assigned value. |z′| ≤ 2 is pass. Runs locally. Not z-score, not zeta, and not En.
Repeatability from Duplicates Calculator Compute ISO 5725 repeatability s_r from m≥2 duplicate differences. Runs locally. Not Type A from a sample of observations, not r = 2.8·s, and not AIAG GRR EV = R̄/d2.
Test Uncertainty Ratio Calculator Compute the two-sided test uncertainty ratio TUR from an already-expanded U and a specification interval. Runs locally. Not a pass/fail, not a guard band, and not combined RSS.
Tolerance Stack-up Calculator Combine dimensional tolerances with worst-case sum or RSS root-sum-square. Basic magnitude list or Engineering mode with nominal, ±tol, and direction.
Type A Uncertainty Calculator Compute Type A standard uncertainty from repeated observations: mean, sample s, and u_A = s/√n. Runs locally. Not GUM combination and not Monte Carlo.
Type B Degrees of Freedom Calculator Compute GUM G.4.2 Type B degrees of freedom from a stated standard uncertainty u and its standard uncertainty σ(u). σ(u)=0 → ν is infinite. Runs locally. Not Type B u_B, not Welch ν_eff, and not U = k·u_c.
Type B Uncertainty Calculator Compute Type B standard uncertainty from a half-width a. Rectangular u_B = a/√3, triangular u_B = a/√6. Runs locally. Not GUM combination and not Monte Carlo.
Uncertainty of a Mean from Precision Calculator Compute the ISO 21748 standard uncertainty of a mean of n≥2 replicates from stated precision components s_r and s_L. Runs locally. Not R = 2.8·s_R, not Type A from a sample, and not U = k·u.
Uncertainty Propagation Calculator Propagate measurement uncertainty using GUM linear propagation, covariance, uncertainty budgets, or Monte Carlo simulation. Optional correlation ρ and coverage factor k → U. Runs locally in your browser.
Welch–Satterthwaite Calculator Compute GUM G.4 effective degrees of freedom ν_eff from standard uncertainty components u_i and their ν_i. Runs locally. Not combined RSS and not expanded U = k·u_c.
Worst-Case Tolerance Analysis Calculator 1-D linear dimensional tolerance stack: worst-case Σ|tol| with RSS comparison. Deterministic bound under declared limits — pairs with Tolerance Stack-up and Monte Carlo.
Zeta-Score Calculator Compute the proficiency-testing zeta-score from a laboratory result, a reference value, and two standard uncertainties. |ζ| ≤ 2 is pass. Runs locally. Not En, not TUR, and not an ILAC G8 spec decision.