Silver content of Byzantine coins from *A Handbook of Small Data Sets* by
D.J. Hand, F. Daly, A.D. Lunn, K.J. McConway and E. Ostrowski, London:
Chapman & Hall, 1994.
Originally from: Hendy, M.F. and Charles, J.A. (1970) The production techniques, silver
content and circulation history of the twelfth-century Byzantine Trachy.
*Archaeometry*,
**12**, 13-21.
I remembered the data set and found it discussed on the WEB here:
http://renoir.vill.edu/~short/STATS/MA/materials/datasets.html

The silver content (% Ag) of a number of Byzantine coins discovered in Cyprus was determined. Nine of the coins came from the first coinage of the reign of King Manuel I, Comnenus (1143-1180); there were seven from the second coinage minted several years later and four from the third coinage (later still); another seven were from a fourth coinage. The question arose of whether there were significant differences in the silver content of coins minted early and late Manuel's reign.

Period_1 5.9 Period_1 6.8 Period_1 6.4 Period_1 7.0 Period_1 6.6 Period_1 7.7 Period_1 7.2 Period_1 6.9 Period_1 6.2 Period_2 6.9 Period_2 9.0 Period_2 6.6 Period_2 8.1 Period_2 9.3 Period_2 9.2 Period_2 8.6 Period_3 4.9 Period_3 5.5 Period_3 4.6 Period_3 4.5 Period_4 5.3 Period_4 5.6 Period_4 5.5 Period_4 5.1 Period_4 6.2 Period_4 5.8 Period_4 5.8Macro for Welch's ANOVA:

GMACRO Welch # Lables MUST be in C1 # Data MUST be in C2 Name k1 "I" Let I = 1 Let k3 = N(c1) - 1 Do k2 = 1 : k3 If c1(k2) ~= c1(k2 + 1) Let I = I +1 ENDIf EndDo Name c3 'Mean' c4 "ByVar" c5 "Variance" c6 "N" Statistics C2; By C1; Mean 'Mean'; GValues 'ByVar'; Variance 'Variance'; N 'N'. Name c7 'weights' Let 'weights' = 'N'/'Variance' Name c8 'WeightedMean' Let k3 = I Do k2 = 1:k3 Let c8(k2) = sum('weights'*'Mean')/(sum('weights')) EndDo Name c9 'F' Name c10 'numerator df' Name c11 'denominator df' Let 'F' = sum('weights'*('Mean' - 'WeightedMean')**2)/(I - 1) Let 'F' = 'F'/( 1 + (2*(I-2)/(I**2 - 1))*sum( (1/('N' -1))*(1 - 'weights'/sum('weights'))**2)) Let c10 = I -1 Let c11 = (I**2 -1)/(3* sum( (1/('N' -1))*(1 - 'weights'/sum('weights'))**2)) Name c12 'p-value' Let k2 = I -1 Let k3 = Floor(c11(1), 0) CDF 'F' 'p-value'; F k2 k3. Let c12 = 1 - c12 ENDMACRO