Graph analysis - how closely histogram fits poisson curve

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SUMMARY

This discussion focuses on analyzing the fit of a histogram representing random radioactive decay data to a Poisson distribution curve. The user compares histograms for 50 and 100 intervals to determine which better aligns with the Poisson model. They seek to quantify the differences between the histogram bars and the Poisson curve, specifically looking for the statistical method to evaluate this fit, which involves calculating the area between the histogram and the curve.

PREREQUISITES
  • Understanding of Poisson distribution and its applications in statistics.
  • Familiarity with histogram construction and interpretation.
  • Basic knowledge of calculus, particularly integration for finding areas under curves.
  • Experience with statistical analysis methods for goodness-of-fit testing.
NEXT STEPS
  • Research "Chi-squared goodness-of-fit test" for evaluating how well the histogram fits the Poisson distribution.
  • Learn about "Kolmogorov-Smirnov test" as an alternative method for assessing distribution fit.
  • Explore "Poisson regression" for modeling count data and its applications.
  • Study "integral calculus" techniques for calculating areas under curves in statistical contexts.
USEFUL FOR

This discussion is beneficial for statisticians, physicists, and data analysts involved in modeling random processes, particularly those working with count data and distribution fitting.

Platypus26
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Homework Statement




Its about random radioactive decay. I have a histogram showing the number of counts recorded in 3 second intervals and I've drawn the Poisson Curve on the same graph.

I have a graph for 50 intervals and one for 100 intervals and I need to analyse how well the data agrees with Poisson Distribution...and see if the 100 interval graph is any better than the 50 intervals.


2. Homework Equations

n/a

3. The Attempt at a Solution

I was thinking I should add up the differences between each bar on the histogram and the curve...subtracting the ones under the curve and adding the ones above. I'm sure this has a name in statistics and I need to know what it is - that's basically my question.

What is the name of this graph analysis/statistics thing that I'm using? Or should I be doing something else?


I posted this in Physics first but I think it might be better in here...I just want to know what to look up in order to find out how to analyse my graphs!..
 
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