Goodness of Fit Tests for Poisson Distribution

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SUMMARY

The discussion centers on the applicability of goodness of fit tests for Poisson distributions. It is established that the Shapiro-Wilk test, which assesses normality, is not suitable for Poisson or Exponential distributions. Instead, the Pearson's Chi-Square goodness of fit test is recommended for Poisson distributions. Minitab also utilizes the Chi-Square test for this purpose, while the Shapiro-Wilk test remains applicable for other distributions like Weibull and lognormal.

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  • Understanding of Poisson distribution characteristics
  • Familiarity with goodness of fit tests
  • Knowledge of the Pearson's Chi-Square test
  • Experience with Minitab software
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Mark J.
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Hi.
For testing exponential distribution we can use several goodness of fit tests like Shapiro-Wilk etc.Can we use this tests for poisson distribution as well or for poisson discrete distribution different tests are generally used?
Can you mention some of them pls?
Regards
 
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Mark J. said:
Hi.
For testing exponential distribution we can use several goodness of fit tests like Shapiro-Wilk etc.Can we use this tests for poisson distribution as well or for poisson discrete distribution different tests are generally used?
Can you mention some of them pls?
Regards

Hi Mark,

Shapiro-Wilk tests normality, so you can't use it either for Poisson or Exponential distributions. A general and simple method is the Pearson's Chi-Square goodness of fit test.
 
Last edited:
Think u can still measure Weibull, exponential, lognormal with S_W test. In Minitab they use chi-square as well.
 

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