An Elementary Treatise Upon the Method of Least Squares With Numerical Examples

Cover An Elementary Treatise Upon the Method of Least Squares With Numerical Examples
An Elementary Treatise Upon the Method of Least Squares With Numerical Examples
George C George Cary Comstock
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064 V, = + 0. 144 k^ + 0. 000 k2=- 0. 065 v, = + 0. 000 fci -f 0. 202 k2=- 0. 016 The values thus obtained satisfy the rigorous conditions of the problem, and are the most probable values which can be obtained from the data given above.
§ 12. The Probable Error. Every intelligent observer desires to know something of the quality of his observations, how good or how bad they are ; the computer who has to com- bine the results of different series of observations should have some knowledge of thei
...r relative accuracy in order to assign to each series its proper weight ; and the investigator engaged in a complicated series of experiments desires some criterion by which to estimate the relative errors of the several parts of his work, in order to properly apportion his care among them, giving the maximum attention where the greatest errors are to be feared. It is evident from the nature of the case that no absolute criterion of this kind can be furnished, since any series of observations may be affected with systematic errors which seriously impair the accuracy of its results but furnish no indication of their presence.

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