Table VII.
Parameter estimates and log likelihoods from fitting various models to a single example data set
| Maximum likelihood estimates of parameters representing effects due to | ||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Child's genotype | Mother's genotype | Imprinting | Maternal/fetal interactions | |||||||||||||||||||
| Row index | Model fitted | R1 | R2 | ρ1 | ρ1 | S1 | S2 | η1 | η2 | Im | Ip | Later Im | Later Ip = jm | γ11 | γ22 | γ01 = µ0 | γ21 = µ2 | µ | jc | Minus null loglik | Minus max loglik | Twice diff in logliks |
| 1 | EMIM imprinting (original Im) | 3.86 | 24.43 | – | – | 1.16 | 1.50 | – | – | 0.35 | – | – | – | – | – | – | – | – | – | 4424.31 | 4186.53 | 475.56 |
| 2 | EMIM imprinting (original Ip) | 1.35 | 3.00 | – | – | 1.16 | 1.50 | – | – | – | 2.85 | – | – | – | – | – | – | – | – | 4424.31 | 4186.53 | 475.56 |
| 3 | EMIM imprinting (later Weinberg [1999b] Im) | 3.86 | 8.56 | – | – | 1.16 | 1.51 | – | – | – | – | 0.35 | – | – | – | – | – | – | – | 4424.31 | 4186.53 | 475.56 |
| 4 | EMIM imprinting (later Weinberg [1999b] Ip) | 1.35 | 8.56 | – | – | 1.16 | 1.51 | – | – | – | – | – | 2.86 | – | – | – | – | – | – | 4424.31 | 4186.53 | 475.56 |
| 5 | Sinsheimer et al. [2003] 1A | – | – | 1.24 | 5.44 | – | – | 2.00 | 2.30 | – | – | – | – | – | – | 4.89 | – | – | – | 4424.31 | 4176.68 | 495.26 |
| 6 | EMIM 5df (single interaction γ11) | 5.67 | 6.81 | – | – | 1.66 | 0.82 | – | – | – | – | – | – | 0.20 | – | – | – | – | – | 4424.31 | 4166.90 | 514.81 |
| 7 | Palmer et al. [2006] | – | – | 1.14 | 6.81 | – | – | 1.66 | 0.82 | – | – | – | – | – | – | – | – | 0.20 | – | 4424.31 | 4166.90 | 514.81 |
| 8 | EMIM 5df (single interaction γ22) | 3.08 | 14.07 | – | – | 0.55 | 0.82 | – | – | – | – | – | – | – | 0.42 | – | – | – | – | 4424.31 | 4197.28 | 454.07 |
| 9 | Sinsheimer et al. [2003] 1B | – | – | 1.03 | 5.91 | – | – | 2.02 | 1.27 | – | – | – | – | – | – | 6.20 | 3.48 | – | – | 4424.31 | 4165.14 | 518.35 |
| 10 | EMIM (γ11 and γ22) | 6.41 | 5.89 | – | – | 2.03 | 0.71 | – | – | – | – | – | – | 0.16 | 1.79 | – | – | – | – | 4424.31 | 4165.14 | 518.35 |
| 11 | Parami et al. [2008] and Li et al. [2009] | 1.50 | 5.90 | – | – | 1.11 | 1.55 | – | – | – | – | – | 2.16 | – | – | – | – | – | 1.99 | 4424.31 | 4161.08 | 526.45 |
| 12 | Palmer et al. [2006] with Ip added | – | – | 0.75 | 5.89 | – | – | 2.21 | 1.55 | – | 2.15 | – | – | – | – | – | – | 0.25 | – | 4424.31 | 4161.08 | 526.45 |
| 13 | EMIM 6 df (Ip and γ11) | 3.00 | 2.74 | – | – | 2.21 | 1.54 | – | – | – | 2.15 | – | – | 0.25 | – | – | – | – | – | 4424.31 | 4161.08 | 526.45 |
| 14 | EMIM 6 df (Ip and γ22) | 0.77 | 1.80 | – | – | 1.25 | 4.82 | – | – | – | 5.28 | – | – | – | 0.17 | – | – | – | – | 4424.31 | 4168.48 | 511.66 |
| 15 | Sinsheimer [2003] 1A with Ip added | – | – | 1.15 | 5.55 | – | – | 2.00 | 2.42 | – | 1.34 | – | – | – | – | 3.84 | – | – | – | 4424.31 | 4176.24 | 496.15 |
| 16 | EMIM saturated (Ip, γ11 and γ22) | 2.13 | 2.27 | – | – | 2.04 | 2.22 | – | – | 2.82 | – | – | – | 0.33 | 0.59 | – | – | – | – | 4424.31 | 4160.38 | 527.86 |
| 17 | Sinsheimer [2003] 1B with Ipadded | – | – | 0.69 | 6.41 | – | – | 2.04 | 1.31 | – | 2.86 | – | – | – | – | 3.04 | 5.25 | – | – | 4424.31 | 4160.38 | 527.86 |
EMIM, Estimation of Maternal, Imprinting and interaction effects using Multinomial modeling.