Summary

Function	Method	Nominal	Std. Uncertainty	95% Coverage	k	Deg. Freedom
	GUM	1000.034921 Ω	0.000059 Ω	± 0.00011 Ω	1.960	inf
	Monte Carlo	1000.034921 Ω	0.000059 Ω	(1000.034807 Ω, 1000.035036 Ω)	1.959	-

Standardized Input Values

Variable	Mean	Std. Uncertainty	Deg. Freedom	Description
	9.99965360	3.1e-07	inf
	10000.00280	0.00050 Ω	inf

Uncertainty Budget

Variable	Component	Description	Standard Uncertainty	Deg. Freedom
	-	--	3.1e-07	inf
-		--	3.1e-07	inf
	-	--	0.00050 Ω	inf
-		--	0.00050 Ω	inf

Sensitivity Coefficients

Variable	GUM Sensitivity	GUM Proportion	MC Sensitivity	MC Proportion
	-100.0 Ω	27.20%	100.0 Ω	27.19%
	0.10	72.80%	0.10	72.84%

Expanded Uncertainties

GUM Approximation

Function	Interval	Min	Max	k	Deg. Freedom	Expanded Uncertainty
	99%	1000 Ω	1000 Ω	2.576	inf	0.00015 Ω
-	95%	1000 Ω	1000 Ω	1.960	inf	0.00011 Ω
-	90%	1000 Ω	1000 Ω	1.645	inf	0.000096 Ω
-	85%	1000 Ω	1000 Ω	1.440	inf	0.000084 Ω
-	68%	1000 Ω	1000 Ω	0.994	inf	0.000058 Ω

Monte Carlo

Symmetric Coverage Intervals

Function	Interval	Min	Max	k
	99%	1000 Ω	1000 Ω	2.577
-	95%	1000 Ω	1000 Ω	1.959
-	90%	1000 Ω	1000 Ω	1.644
-	85%	1000 Ω	1000 Ω	1.439
-	68%	1000 Ω	1000 Ω	0.995

GUM Derivation

Measurement Model:

Measured Values:

Variable	Std. Uncertainty	Deg. Freedom

Sensitivity Coefficients:

Combined Uncertainty:

Effective degrees of freedom:

GUM Validity

Comparison to Monte Carlo 95.00% Coverage

2 significant digits. δ = 5.0e-07 Ω.

Monte Carlo Inputs

Monte Carlo Convergence