Consider the following election of 4 candidates from 7 contenders by 600 voters, for which the voting profile is:
50 AC 70 AD 115 BED 100 CD 115 D 65 ED 50 FCD 35 GBEDSince the quota is 120, we obtain the following result sheet from the ascription of the Newland & Britton principles, avoiding the rounding errors which the practical application of their method as given by them introduces.
Hence the order of election is A, B, C and then D.
With the Rosenstiel/Syddique method of successive elimination, with E, F and G eliminated the votes are:
120 A 150 B 150 C 180 DB, C and D are selected and A is placed fourth and eliminated henceforth. The votes are then:
150 B 200 C 250 DC, D are selected, and B is placed third and eliminated henceforth. The votes are then:
200 C 400 DC is now placed second and D first. To summarise, the order is D, C, B and then A.
Hence the two methods produce ordering which is exactly the opposite of each other.