Investigating strength of relationship

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SUMMARY

This discussion centers on the investigation of the relationship between Math and Physics using statistical methods. The user performed a chi-squared test, which indicated independence, and a product moment correlation coefficient (PMCC) calculation that yielded a value of 0.69, suggesting a strong positive relationship. The conflicting results between the chi-squared test and the PMCC raise questions about the validity of the tests or the data used. The user seeks clarification on how these two statistical outcomes can coexist.

PREREQUISITES
  • Understanding of chi-squared tests for independence
  • Knowledge of product moment correlation coefficient (PMCC)
  • Familiarity with statistical data analysis
  • Basic concepts of correlation and independence in statistics
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  • Research the assumptions and limitations of chi-squared tests
  • Learn about the interpretation of product moment correlation coefficients
  • Explore potential data issues that could lead to conflicting statistical results
  • Investigate additional statistical tests for assessing relationships between variables
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Students in Applied Mathematics, statisticians, educators, and anyone interested in understanding the relationship between variables through statistical analysis.

Boogeyman
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I was assigned a project in Applied Math and I chose to investigate the strength of the relationship between Math and Physics. My scope of tests is still limited, so I decided to first do a chi squared test (to show independence) and then determine the product moment correlation coefficient. Problem is the chi squared suggested independence, but my pmcc turned out to be 0.69. So I checked these two conflicting tests and my teacher did them but we haven't come up with anything else.

Is there any way this could be possible. If anyone wants to see my data (it's really not much) I will gladly upload it.
 
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By the way the correlation coefficient gives the relationship between the two...it ranges from -1 to 1. So imo 0.69 is pretty strong positive relationship. But this contradicts the independence suggested by the chi squared..
 

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