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Experimental Data Treatment: Determining Confidence Intervals for Measurements, Study notes of Physics

Umea University (UU)Physics

How to determine the reasonable range or confidence interval for measured quantities in experimental data. It provides a formula for calculating the interval width based on the measured value and absolute error. The document assumes a symmetric interval around the measured value and uses the result in the form of an interval with a specified confidence level.

Typology: Study notes

2018/2019

Uploaded on 10/21/2019

gerard-benach-forcada
gerard-benach-forcada 🇧🇪

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Tractament de dades experimentals. ERRORS
1. Introducció
En tota mesura d’una magnitud experimental (), cal també determinar el marge raonable on, amb una
determinada confiança (per exemple superior al 99% o al 95%) es troba el seu valor real ().
Si el valor determinat experimentalment de la magnitud és i l’error absolut és , suposem un interval
simètric de radi a l’entorn de , i escrivim com a resultat:

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Tractament de dades experimentals. ERRORS

1. Introducció

En tota mesura d’una magnitud experimental (), cal també determinar el marge raonable on, amb una determinada confiança (per exemple superior al 99% o al 95%) es troba el seu valor real ().

Si el valor determinat experimentalment de la magnitud és i l’error absolut és , suposem un interval simètric de radi a l’entorn de , i escrivim com a resultat: