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comparison

# comparison - Comparison of two measurements with known...

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Comparison of two measurements with known uncertainty This data comparison tool can help evaluate whether measured results agree with each other within their unc Enter your measured values and uncertainties in the highlighted cells. Relative Uncertainty Range X u Uncert. X-u X+u A = 1.2 ± 0.2 17% 1 1.4 B = 1.8 ± 0.2 11% 1.6 2 Percent difference = 40% Hypothesis testing: Does A = B? Z(A-B) = 2.12 p = 0.034 came from the same parent population (are equivalent), found from a two-tailed t-test with infinite degrees of freedom. Note: p-values are based on the following assumptions: 1) u is standard uncertainty 2) X ± u is 68% confidence interval 3) Measurements exhibit normal distribution properties 4) Sample size is very large Gaussian (Normal) Probability Distributions with Known Means and Variances G(x) = (1/(sigma*sqrt(2pi)))*exp(-x^2/2sigma^2) X1 G(X1) X2 G(X1) 0.4 0 1 0 0.48 0 1.08 0 0.56### 1.16 0.01 0.64### 1.24 0.04 0.72### 1.32 0.11 0.8### 1.4 0.27 0.88### 1.48 0.55 0.96### 1.56 0.97 1.04### 1.64 1.45 1.12### 1.72 1.84 1.2### 1.8 1.99 1.28### 1.88 1.84 1.36### 1.96 1.45 1.44### 2.04 0.97 1.52### 2.12 0.55 1.6### 2.2 0.27 1.68### 2.28 0.11 1.76### 2.36 0.04 1.84### 2.44 0.01 1.92 0 2.52 0 p-value is the statistical probability that the two measurements 0 2 4 6 8

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