The Transmission Disequilibrium/Heterogeneity Test with Parental-Genotype Reconstruction for Refined Genetic Mapping of Complex Diseases

Table 2

Distribution of 𝑇_𝑖 when one PMG is missing but reconstructible.

PMG	Condition (𝑅)	Range of 𝑇𝑖	𝑃𝐻0(𝑇𝑖=𝑐∣𝑅)
𝐴𝐵×𝐴𝐵	𝑁^𝐴𝐴>0 and 𝑁^𝐵𝐵>0	0≤𝑐<𝑛𝑎	2𝑛𝑎𝑐(1/2)^2𝑛𝑎−𝑛𝑎𝑐(1/2)^2𝑛𝑎−𝑐(3/4)^𝑛𝑢1−(1/2)^𝑛𝑐[2(3/2)^𝑛𝑐−1]
		𝑐=𝑛𝑎	2𝑛𝑎𝑛𝑎(1/2)^2𝑛𝑎−(1/2)^𝑛𝑐[2(3/2)^𝑛𝑢−1]1−(1/2)^𝑛𝑐[2(3/2)^𝑛𝑐−1]
		𝑛𝑎<𝑐≤2𝑛𝑎	2𝑛𝑎𝑐(1/2)^2𝑛𝑎−𝑛𝑎𝑐−𝑛𝑎(1/2)^𝑐(3/4)^𝑛𝑢1−(1/2)^𝑛𝑐[2(3/2)^𝑛𝑐−1]
𝐴𝐴×𝐴𝐵	𝑁^𝐴𝐴>0 and 𝑁^𝐴𝐵>0	𝑐=𝑛𝑎	𝑛𝑎𝑐−𝑛𝑎(1/2)^𝑛𝑎−(1/2)^𝑛𝑐1−2(1/2)^𝑛𝑐
		𝑛𝑎<𝑐<2𝑛𝑎	𝑛𝑎𝑐−𝑛𝑎(1/2)^𝑛𝑎1−2(1/2)^𝑛𝑐
		𝑐=2𝑛𝑎	𝑛𝑎𝑐−𝑛𝑎(1/2)^𝑛𝑎−(1/2)^𝑛𝑐1−2(1/2)^𝑛𝑐
𝐵𝐵×𝐴𝐵	𝑁^𝐴𝐵>0 and 𝑁^𝐵𝐵>0	𝑐=0	𝑛𝑎𝑐(1/2)^𝑛𝑎−(1/2)^𝑛𝑐1−2(1/2)^𝑛𝑐
		0<𝑐<𝑛𝑎	𝑛𝑎𝑐(1/2)^𝑛𝑎1−2(1/2)^𝑛𝑐
		𝑐=𝑛𝑎	𝑛𝑎𝑐(1/2)^𝑛𝑎−(1/2)^𝑛𝑐1−2(1/2)^𝑛𝑐