For multiallelic loci, standard measures of linkage disequilibrium provide an incomplete description of the correlation of variation at two loci, especially when there are different numbers of alleles at the two loci. We have developed a complementary pair of conditional asymmetric linkage disequilibrium (ALD) measures. Since these measures do not assume symmetry, they more accurately describe the correlation between two loci and can identify heterogeneity in genetic variation not captured by other symmetric measures. For biallelic loci the ALD are symmetric and equivalent to the correlation coefficient r. The ALD measures are particularly relevant for disease-association studies to identify cases in which an analysis can be stratified by one of more loci. A stratified analysis can aid in detecting primary disease-predisposing genes and additional disease genes in a genetic region. The ALD measures are also informative for detecting selection acting independently on loci in high linkage disequilibrium or on specific amino acids within genes. For SNP data, the ALD statistics provide a measure of linkage disequilibrium on the same scale for comparisons among SNPs, among SNPs and more polymorphic loci, among haplotype blocks of SNPs, and for fine mapping of disease genes. The ALD measures, combined with haplotype-specific homozygosity, will be increasingly useful as next-generation sequencing methods identify additional allelic variation throughout the genome.T HE definition of the linkage disequilibrium (LD) parameter D ij of nonrandom association between a pair of alleles A i and B j at two loci (A and B) is straightforward and unequivocal. It is the difference between the observed (or estimated) haplotype (chromosomal or gametic) frequency ( f ij ) and that expected under random association of the two allele frequencies ðp Ai and p Bj Þ : D ij ¼ f ij 2 p Ai p Bj . While this is the base of all other measures of LD, defining the strength of any observed nonrandom association is complicated by the fact that the maximum value D ij can take is a function of the observed allele frequencies. A number of normalized measures to reflect the strength of LD have been proposed; both for bi-and multiallelic data (Hedrick 1987;Lewontin 1988). However, since these are all a single summary of multidimensional data, no proposed measure of the strength of LD can be perfect; although each may have strengths and weaknesses with respect to the question being addressed.The two most common measures of the strength of LD are: (1) the normalized measure of the individual LD values (Lewontin 1964), D ij 9 = D ij /D max (see Supporting Information, File S1 for details) and (2) the correlation coefficient r for biallelic data, which is most often reported as Hedrick (1987) extended the D9 measure for multiallelic data as a weighted average over all alleles at each locus of the individual normalized LD values: D9 = S i S j p Ai p Bj |D ij 9| . The multiallelic extension of the r 2 measure iswhere k A and k B indicate the number of ...