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With multiple samples reminder about t values y

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with multiple samples
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Reminder about t-values: y Uncertaint | | Expected Measured t = Expect t~1. Compare “t-value”to 2: Is t>2 or t<2?
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Simplified Error Propagation: For sum of variables, add absolute errors (in quadrature): For product of variables, add relative errors (in quadrature):
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x best Error Propagation x x x best δ ± = ) ( x q q = ??? = q δ 0 2 4 6 8 10 12 14 16 18 20 22 24 26 x 0 5 10 15 20 25 q(x) x best - δ x x best + δ x
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x best Error Propagation x x x best δ ± = ) ( x q q = ??? = q δ 0 2 4 6 8 10 12 14 16 18 20 22 24 26 x 0 5 10 15 20 25 q(x) x best - δ x x best + δ x q best = q(x best ) q(x best δ x) q(x best + δ x)
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x best Error Propagation x best - δ x x best + δ x q best = q(x best ) q(x best δ x) q(x best + δ x) 0 2 4 6 8 10 12 14 16 18 20 22 24 26 x 0 5 10 15 20 25 q(x) δ q = q(x best + δ x) – q(x best ) δ q depends on: 1) δ x 2) q(x)
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General Formula of Error propagation x dx dq q Δ = Δ ) , , ( z y x q q = 2 2 2 ... Ο Π Ξ Μ Ν Λ Δ + + Ο Ο Π Ξ Μ Μ Ν Λ Δ + Ο Π Ξ Μ Ν Λ Δ = Δ z z q y y q x x q q
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Examples of Error Propagation:
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Examples of Error Propagation:
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