Comparing Absolute Deviation to Mean Absolute Deviation

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SUMMARY

This discussion focuses on the comparison between Absolute Deviation and Mean Absolute Deviation (MAD) as methods for measuring variability in sensor data without a known true value. The user seeks to determine if calculating the percentage deviation between these two metrics can provide insights into the precision of their measurements. The conversation emphasizes the importance of clarity in methodology, particularly in the context of nuclear counting for medical imaging, where consistent operational performance is critical.

PREREQUISITES
  • Understanding of Absolute Deviation and Mean Absolute Deviation
  • Basic knowledge of statistical analysis in data measurement
  • Familiarity with precision measurement techniques in sensor data
  • Concepts of variability and consistency in data sets
NEXT STEPS
  • Research the mathematical definitions and applications of Absolute Deviation and Mean Absolute Deviation
  • Explore methods for calculating percentage deviation in statistical analysis
  • Study precision measurement techniques in nuclear counting systems
  • Investigate best practices for ensuring data consistency in sensor measurements
USEFUL FOR

Data analysts, statisticians, and professionals in medical imaging who are focused on improving measurement precision and understanding variability in sensor data.

Nyasha
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Hi Guys,

I am trying to measure variability in a part for my sensor which l do not know the true value. So l decided that a good way to measure variability in this case would be to measure precision of my data points as l change this part on the sensor. So l was wondering, can l compare the absolute deviation and mean absolute deviation and calculate the percentage deviation between the two, and then use the percentage deviation as a number which tells me something about variability in this part.


Thanks.
 
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Your description is not very clear. Please flesh it out more, perhaps with an example.
 
haruspex said:
Your description is not very clear. Please flesh it out more, perhaps with an example.

I calculated 15 absolute deviations and their mean absolute deviation. Would it be valid for me to say my data set is accurate if all the 15 absolute deviations are within ±5% of the mean absolute deviation ?
 
No, I meant a much more thorough description of what you are doing. What do you mean by "measuring the precision"? What does this involve? What, arithmetically, do you then do with the observations?
 
I am doing nuclear counting for medical imaging and l do not know the 'true' estimate of counts for my system. So to see if my system is operating consistently as l change a certain part, l am going to measure its precision. That is, as l change that part, are my number of counts within the same range.
 

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