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Precision
In the geographic sciences, as in mathematics, precision refers to the number of significant digits, exactness, or detail to which a value has been reliably measured. That is, it describes the finest unit of measurement used to express a measured value. For example, if a record is reported to the nearest minute, the precision is 1/3,600th of a degree; if a decimal degree is reported to two decimal places, the precision is 0.01 of a degree. In statistics, on the other hand, precision refers to the ability of a measurement to be consistently reproduced or the level of agreement among a series of measurements, values, or results (i.e., its repeatability or reproducibility).
Although a location or attribute may be measured very precisely, it does not mean that it is necessarily accurate. Accuracy is the closeness of a measurement to the actual (true) value. Thus, a measurement or value may be precise but not accurate, accurate but not precise, both accurate and precise, or neither accurate nor precise.
Obtaining or recording precise data can often be costly and time-consuming, and in many cases, high precision may not be needed or suitable. For example, it is unnecessary to record a road junction to the centimeter when all you want to do is find where you need to turn when driving.
Sometimes, it is difficult to determine the precision of a given geographic representation. For example, many boundaries or lines on a map or in a geographic database may have low precision due to the method by which they were derived (e.g., from contour lines) or because they may vary over time (the course of a river or the coastline). However, when drawn as a line on a map, they may appear to be very precise.
False Precision
False precision occurs when data are recorded with a precision greater than that of the original data or source material. This may occur when reading locational data from a map to levels of accuracy and precision greater than those at which the map was created or using a greater number of decimal places than is inherent in the original data. It often occurs during transformation from one unit or coordinate system to another, for example, in the conversion of miles to kilometers (e.g., 12 miles being recorded as 19.2 km) or from degrees, minutes, and seconds (DMS) to decimal degrees.
A common example of false precision occurs when records in DMS are imported into a database, where they are stored or exported (often to a GIS) in decimal degrees. Thus, an angular latitudinal distance originally recorded as 10° 20', roughly 10.3°, may be converted in the GIS to a value of 10.3333 with a precision of 4 rather than 1, leading to an implied metric uncertainty of around 15 m instead of the real uncertainty of around 15 km. If recording a location measured from a map at a scale of 1:100,000, it may appear possible to report the location to a precision of 10 m to 20 m; however, the map accuracy at that scale is unlikely to be better than 150 m, so as well as being unnecessary, it may also be misleading to other users to give a precision beyond that for which the source data may be suitable.
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