How Do You Determine if Two Values Agree?

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SUMMARY

The discussion focuses on determining the agreement between two values using the "comparison test." The key formula provided is R = (x1 - x2) / √(σx1² + σx2²), where R indicates agreement if R < 2 and disagreement if R > 2. The values x1 and x2 are given as x1 = 563 ± 12 and x2 = 545 ± 38. This method allows for a quantitative assessment of value agreement based on their uncertainties.

PREREQUISITES
  • Understanding of statistical concepts such as standard deviation (σ)
  • Familiarity with basic algebra and square root calculations
  • Knowledge of error propagation in measurements
  • Ability to interpret results from statistical tests
NEXT STEPS
  • Research "error propagation in measurements" to understand how uncertainties affect calculations
  • Learn about "statistical significance" to further analyze value comparisons
  • Explore "confidence intervals" for a deeper understanding of value agreement
  • Study "hypothesis testing" to apply similar concepts in different contexts
USEFUL FOR

This discussion is beneficial for statisticians, researchers, and anyone involved in data analysis who needs to assess the agreement between measured values and their uncertainties.

GrahamCU
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SOLVED:Agreement of 2 values

This is my first post, so I hope this is the write section for it..

How do you check if 2 values agree with each other (I've seen it called the "comparison test", but I can't find what I'm looking for by google-ing that).

For example, you have

x1=563+-12
x2=545+-38

And you have to find the "ratio". The values are said to agree if R<2 and disagree if R>2

Thanks,
Graham



EDIT: found the answer

R=(x1-x2)/root(sigmax1^2 + sigmax2^2)
 
Last edited:
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Welcome to PF!

Hi Graham!

Glad you sorted it out! :smile:

Anyway, welcome to PF …

and here's a square-root: √ and a plus-or-minus: ± and a sigma: σ for you. :wink:​
 

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