 | Mansfield Merriman - Least squares - 1877 - 220 pages
...and h in (46) we have r = ~~, that is, the probable error of the arithmetical mean is Vn equal to the probable error of a single observation divided by the square root of the number of observations. Hence from (42) (47) = ~ = 0-6745, vn n(n-iy which is the expression used without proof in Part I.... | |
 | Mansfield Merriman - Least squares - 1884 - 216 pages
...— : — , r0* t" from which (19) or, the probable error of the arithmetical mean is equal to the probable error of a single observation divided by...the number of observations. The probable error of the mean, hence, decreases as \[ii increases. If ten observations give a certain probable error for... | |
 | Mansfield Merriman - Least squares - 1884 - 214 pages
...article gives from which (19) r°=^F, 01 or, the probable error of the arithmetical mean is equal to the probable error of a single observation divided by...the number of observations. The probable error of the mean, hence, decreases as Vw increases. If ten observations give a certain probable error for the... | |
 | American Society of Naval Engineers - Marine engineering - 1926 - 1172 pages
...mean or average of such observations, (c) the probable error of the arithmetical mean is equal to the probable error of a single observation divided by the square root of the number of observations. THE RAY ROTARY FUEL OIL BURNER. TEST ON A MARINE SCOTCH BOILER. BY RC BRIERLY.* During the months of May... | |
 | Civil engineering - 1893 - 670 pages
...night arising from error of observation only, — neglecting the declination error. This value is the probable error of a single observation divided by the square root of the number of observations on the night in question. Station. Date. No. Obs. Seconds of Latitude. Besidua1. c Obs. only. No. 1... | |
 | Andrew Gray - Electric measurements - 1893 - 554 pages
...— , weight of rs = — , (15) Mean and The mean errors of xt> rt, . . ., rm arc equal each to the mean Probable error of a single observation divided by the square root of the Krrois of weight of the quantity in question. But the mean error of a Quantities single observation... | |
 | Andrew Gray - Electric measurements - 1893 - 556 pages
...= — , (15) Mean and The mean errors of .r,, ,ra, . . ., .'Cm are equal each to the mean 1'robable error of a single observation divided by the square root of the Errors of weight of the quantity in question. But the mean error of a Quantities single observation... | |
 | Astronomy - 1894 - 306 pages
...the probable error does not appear in tables II, III, and IV, we supply it by calculating from the mean probable error of a single observation, divided by the square root of the number of observations upon which our accepted value rests. Crown No. 1720; a=60° 0' 16".06 ±0".42; =£L = — 2.32 + 0.402-^,... | |
 | Mansfield Merriman - Least squares - 1904 - 270 pages
...article gives from which (19) v/«: or, the probable error of the arithmetical mean is equal to the probable error of a single observation divided by...the number of observations. The probable error of the mean, hence, decreases as \/7: increases. If ten observations give a certain probable error for... | |
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... is equal to the probable error of a single observation divided by the square root of the number of observations. The probable error of the mean, hence, decreases as Vw increases. 
