224 Mansfield Merriman — List of Writings relatln<j 



1875 Faye. 'Note accompagiiant la presentation d'une Notice 

 autographit'e snr la niethode des moindres carres.' Comptes Rendus, 

 Paris., Vol. LXXX, pp. 352-35(i. 



The exponential law of error is regarded as an empirical law estab- 

 lished by experience. 



[1875] Fechner. Ueber den Ausgangswerth der kleinsten Ab- 

 weichungssumme, dessen Bestimniiing iind Vervvendung. Abhandl. 

 Sachs. GeselL, Vol. [XVI]. 



See title 1874 Fechnek. 



1875 Fraxke. 'Die trigonometrische Piinktbestimmung im N'etz- 



Ausclduss, mit besonderer Kiicksiclit auf eine rationelle Fehler- 



Ausgleichvmg.' Milnchen, 8vo, pp. viii, 69. 



Reference is here made to articles by Tulla, Jordan and others 

 on a graphical method of adjustment, whose titles I regret not to be 

 able to give. See Monatsbl. Badisch. Geometervereins for 1875. 



1875 Galto.v. 'Statistics by Intercomparison, with Remarks on 

 the Law of Frequency of Error.' Lond. Phil. Mag., Vol. XLIX, 

 pp. 83-46. 



If all the men of a tribe were arranged in a row according to their 

 heights, the middle man would liave the mean height. 



The curve y = Ge~^^'^' is called an " ogive" and it is regarded as 

 more likely to be a^jpi-oximately true of a statistical series than any 

 other that can be specified d jyriori. 



1875 Helmert. ' Ueber die Formel fur den Durchschnittsfehler.' 

 Astron. Michr., Vol. LXXXV, col. 358-366. 



The formula given in 1856 by Peters is discussed, and shown to 

 be correct only for direct observations. A new formula for probable 

 error is proposed. See 1869 Lukoth and 1876 Hei.mert. 



1875 Laurent. ' Sur la methode des moindres carres.' Li<>uville''s 

 Jour. Math., Vol. T, pp. 75-80. 



A discussion of 1444 observations to deduce an empirical law of 

 error. The result is that the exponential law represents closely the 

 probabilities of error. 



1875 Mees. Ueber die Berechnung des wahrscheinlichen Fehlers 

 einer endlichen Zahl von Beobachtungen. Zeitschr. Math. u. Pht/s., 

 XX, pp. 145-152. 



Gauss's method (1816) is considei-erl incorrect. 



