Statistical Models for Landmark Coordinate Data - An Invariant Approach to Statistical Analysis of Shapes - page 82

f 3.1e. Mean form matrix of the aneuploid Ts65Dn mandible ( mm )
1 2 3 4 5 6 7 8 9 10 11

Landmark 1 0.000 6.741 2.110 3.945 5.644 7.318 9.346 9.202 7.026 5.932 4.318

Landmark 2 6.741 0.000 5.068 4.234 5.598 7.428 11.126 12.359 9.167 9.044 7.559

Landmark 3 2.110 5.068 0.000 1.848 5.796 7.723 10.411 10.635 8.088 7.212 5.481

Landmark 4 3.945 4.234 1.848 0.000 6.769 8.757 11.792 12.219 9.516 8.774 7.044

Landmark 5 5.644 5.598 5.796 6.76 0.000 2.165 5.596 6.908 3.622 3.824 2.930

Landmark 6 7.318 7.428 7.723 8.757 2.165 0.000 3.785 5.534 2.513 3.394 3.556

Landmark 7 9.346 11.126 10.411 11.792 5.596 3.785 0.000 2.416 2.373 3.473 5.038

Landmark 8 9.202 12.359 10.635 12.219 6.908 5.534 2.416 0.000 3.324 3.521 5.262

Landmark 9 7.026 9.167 8.088 9.516 3.622 2.513 2.373 3.324 0.000 1.407 2.712

Landmark 10 5.932 9.044 7.212 8.774 3.824 3.394 3.473 3.521 1.407 0.000 1.754

Landmark 11 4.318 7.559 5.481 7.044 2.930 3.556 5.038 5.262 2.712 1.754 0.000

Table 3.1f. Variance-covariance matrix K * of euploid Ts65Dn mandible ( mm 2 )
1

2 3 4 5 6 7 8 9 10 11

1 0.01796 0.00512 0.00718 0.00821 0.00862 -0.00567 -0.01313 -0.01721 -0.01001 -0.00305 0.00198

2 0.00512 0.01282 0.00179 0.00047 -0.00674 0.00032 -0.00234 -0.00654 -0.00525 -0.0031 0.00346

3 0.00718 0.00179 0.00744 0.00866 -0.00018 -0.00375 -0.00658 -0.01071 -0.00578 0.00025 0.00168

4 0.00821 0.00047 0.00866 0.02336 -0.01071 -0.00821 -0.00698 -0.01029 -0.00608 0.00128 0.00029

5 0.00862 -0.00674 -0.00018 -0.01071 0.03549 -0.00418 -0.01215 -0.00808 -0.00448 -0.00233 0.00473

6 -0.00567 0.00032 -0.00375 -0.00821 -0.00418 0.00876 0.00395 0.00412 0.00542 0.00036 -0.00113

7 -0.01313 -0.00234 -0.00658 -0.00698 -0.01215 0.00395 0.01623 0.01692 0.00839 0.0002 -0.00453

8 -0.01721 -0.00654 -0.01071 -0.01029 -0.00808 0.00412 0.01692 0.02379 0.01163 0.00276 -0.0064

9 -0.01001 -0.00525 -0.00578 -0.00608 -0.00448 0.00542 0.00839 0.01163 0.00822 0.0011 -0.00314

10 -0.00305 -0.00310 0.00025 0.00128 -0.00233 0.00036 0.0002 0.00276 0.0011 0.00557 -0.00305

11 0.00198 0.00346 0.00168 0.00029 0.00473 -0.00113 -0.00453 -0.0064 -0.00314 -0.00305 0.00611