We subjected the first replication of the simulated isolated population data set to a novel analysis for association between marker alleles and either disease phenotypes or quantitative variable. The analysis depends on being able to reliably reconstruct all haplotypes in the pedigree. This was achieved using the MCLINK blocked Gibbs sampling program. We observed a highly significant association between the variable Q5 and marker D01G138, and suggestive associations between the disease trait and markers D03G056 and D07G004.