TABLE 3.
Orthogonal contrasts for design III with two markers
| Contrast |  |
 |
 |
 |
 |
 |
 |
 |
 |
|---|---|---|---|---|---|---|---|---|---|
| c1 | 1 | 1 | 1 | 0 | 0 | 0 | −1 | −1 | −1 |
| c2 | 1 | 1 | 1 | −2 | −2 | −2 | 1 | 1 | 1 |
| c3 | 1 | 0 | −1 | 1 | 0 | −1 | 1 | 0 | −1 |
| c4 | 1 | −2 | 1 | 1 | −2 | 1 | 1 | −2 | 1 |
is the genotypic mean of the backcross progenies from F2 parents with marker genotype g (see appendix a) backcrossed to parental line j (j = 2, 1). Only 
means are presented, and the coefficients for 
are the same as for 
for c1–c4. Contrasts c5–c8 are c5 = c1 × c3, c6 = c1 × c4, c7 = c2 × c3, and c8 = c2 × c4. Contrast c9 has u9g1 = 1 and u9g2 = −1. Contrasts c10–c17 have the same coefficients as c1–c8 for 
, respectively; for 
the coefficients are the same but with opposite signs.