There is a little bit of data on the Los Angeles Silhouette Club site.
(You need to Login or Register to view media files and links) Look for the following data. It will be in table form that is easier to read.
Both tin and lead shrink a lot so adding more tin would require a lot of tin to make much difference. Adding antimony reduces shrinkage a good bit but will probably make the bullets too hard.
Alloy shrinkage of cast bullets
Composition, %
Brinell
Shrinkage
Type Metal
Tin
Antimony Lead Hardness Linear, %
Linotype 4 12 84 18 .65
Monotype 9 19 72 26 .65
Lead -- -- 100 5 1.13
Tin 100 -- -- 7 .90
Antimony -- 100 -- 50 .47
As an example: the solidification of a nominally .357" diameter bullet cast of Linotype could be expected from the above table to be .0065 X .357" = .0025". In a soft alloy of lead and tin, .01 X .357" = .0035".
Shrinkage - Bullet Diameter, Inches
Alloy .308 .357 .452
Linotype .002 .0025 .003
Lyman # 2 .0025 .0025 .0035
Soft Lead .0035 .004 .005
From the above two tables it can be seen that the softer the alloy and the larger diameter the bullet that more shrinkage will occur.