Accuracy of GPS and HDOP

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Given a handheld GPS with an accuracy of roughly 2 meters (verified through field tests) and an observation with an HDOP of 1.2, the accuracy of that one observation should be within 2 meters X 1.2 of actual horizontal position, correct? Where can I find documentation of how this works? That is documentation that shows reported device accuracy multiplied by the HDOP yields horizontal accuracy.



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