1
Biplot Component 3 Cli s of Insanity teeth Dromaeosauridae Paronychodon Richardoestesia Saurornitholesnae Troodondae Tyrannosauroidea Lance Fm. (65.5-66.5 Ma) Hell Creek Fm. (65.5-66.75 Ma) Horseshoe Canyon Fm. (68-72 Ma) Fruitland Fm. (75.56±0.41-73.04±0.25 Ma) Kirtland Fm. (75.56±0.41-73.04±0.25 Ma) Dinosaur Park Fm. (76-75 Ma) Oldman Fm. (77-76 Ma) Menefee Fm.- Allison Mbr. (78±0.26 Ma) Aguja Fm. (~79 Ma) Judith River Fm. (79.5-75 Ma) Milk River Fm. (~83.5 Ma) Menefee Fm.- Point Lookout Ss. (Middle Santonian) Two Medicine Fm. (83-74 Ma) Straight Cli s Fm.- John Henry Mbr. (85.8-?84 Ma) Cedar Mountain Fm.- Mussentuchit Mbr. (~99-98 Ma) NCSM 33308 -8.0 -6.4 -4.8 -3.2 -1.6 0.0 1.6 3.2 4.8 6.4 Component 2 -4.8 -3.2 -1.6 0.0 1.6 3.2 4.8 6.4 Component 3 FABL CH BW ADM PDM NCSM 33277 NCSM 33298 NCSM 33275 NCSM 33274 NCSM 33267 NCSM 33288 NCSM 33268 (est. CH) NCSM 33288 (est. CH) FABL CH BW ADM PDM NCSM 33268 (est. CH) -9 -6 -3 0 3 6 9 12 15 Component 1 -4.8 -3.2 -1.6 0.0 1.6 3.2 4.8 6.4 Component 3 Principal component analysis of non-transformed data, PC 1 and PC 3 NCSM 33298 NCSM 33275 NCSM 33277 NCSM 33277 (est. CH) NCSM 33308 NCSM 33267 NCSM 33288 NCSM 33288 (est. CH) COI 8 0 Component 1 Component 3 0 Component 2 Legend Biplot FABL CH BW ADM PDM -8.0 -6.4 -4.8 -3.2 -1.6 0.0 1.6 3.2 Axis 2 -4.0 -3.2 -2.4 -1.6 -0.8 0.0 0.8 1.6 2.4 3.2 Axis 4 Biplot 0 Axis 2 Axis 4 NCSM 33268 (est. CH) NCSM 33268 NCSM 33267 NCSM 33288 NCSM 33288 (est. CH) NCSM 33274 NCSM 33275 NCSM 33277 NCSM 33277 (est. CH) NCSM 33298 NCSM 33308 Discriminant analysis of non-transformed data, Axis 2 and Axis 4 Principal component analysis of non-transformed data, PC 2 and PC 3 PC 1 PC 2 PC 3 PC 4 PC 5 FABL 0.35065 -0.011786 -0.01832 0.83047 -0.4323 CH 0.81486 0.45715 -0.052796 -0.3516 -0.024716 BW 0.19856 -0.014318 -0.038534 0.38402 0.90079 ADM -0.20206 0.55245 0.79783 0.12789 0.032926 PDM -0.36441 0.69676 -0.59905 0.15122 0.0013077 PC Eigenvalue % variance 1 16.1585 70.99 2 4.02661 17.69 3 2.05155 9.0132 4 0.422085 1.8544 5 0.102932 0.45222 PC 1 PC 2 PC 3 PC 4 PC 5 FABL 0.35065 -0.011786 -0.01832 0.83047 -0.4323 CH 0.81486 0.45715 -0.052796 -0.3516 -0.024716 BW 0.19856 -0.014318 -0.038534 0.38402 0.90079 ADM -0.20206 0.55245 0.79783 0.12789 0.032926 PDM -0.36441 0.69676 -0.59905 0.15122 0.0013077 PC Eigenvalue % variance 1 16.1585 70.99 2 4.02661 17.69 3 2.05155 9.0132 4 0.422085 1.8544 5 0.102932 0.45222 Axis 1 Axis 2 Axis 3 Axis 4 Axis 5 FABL -0.42634 -0.8433 0.28654 0.71236 -0.13685 CH -0.56636 -2.0007 0.54536 0.98806 -1.797 BW -0.24706 -0.60246 -0.072574 0.18285 -0.0745 ADM 0.50574 0.023551 1.0309 -1.0136 0.20921 PDM 1.206 0.19863 -0.22049 -0.019826 0.29867 Axis Eigenvalue % variance 1 2.2407 73.48 2 0.52483 17.21 3 0.20229 6.633 4 0.070585 2.315 Loadings Loadings Loadings CH BW ADM PDM -1.2 -0.8 -0.4 0.0 0.4 0.8 Component 1 -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 Component 2 FABL NCSM 33274 NCSM 33275 NCSM 33267 NCSM 33268 NCSM 33288 NCSM 33277 NCSM 33268 (est. CH) NCSM 33288 (est. CH) NCSM 33277 (est. CH) NCSM 33298 NCSM 33308 Biplot 0 Component 1 Component 2 PC 1 PC 2 PC 3 PC 4 PC 5 FABL 0.45852 0.14336 -0.056045 0.30978 0.8186 CH 0.572 0.40768 0.15249 -0.6844 -0.12235 BW 0.52816 0.12247 0.077808 0.63011 -0.55041 ADM -0.22184 0.6786 -0.69227 0.07731 -0.071239 PDM -0.36662 0.58116 0.6988 0.18062 0.083064 Loadings PC Eigenvalue % variance 1 0.128413 72.355 2 0.0304198 17.14 3 0.010865 6.1219 4 0.00498687 2.8099 5 0.00279232 1.5733 Principal component analysis of logged data, PC 1 and PC 2 FABL CH BW ADM PDM -0.40 -0.32 -0.24 -0.16 -0.08 0.00 0.08 0.16 0.24 0.32 Component 3 -0.30 -0.24 -0.18 -0.12 -0.06 0.00 0.06 0.12 0.18 0.24 Component 4 NCSM 33275 NCSM 33267 NCSM 33268 NCSM 33288 NCSM 33277 NCSM 33268 (est. CH) NCSM 33277 (est. CH) NCSM 33298 NCSM 33308 Biplot 0 Component 3 Component 4 NCSM 33274 NCSM 33288 (est. CH) PC 1 PC 2 PC 3 PC 4 PC 5 FABL 0.45852 0.14336 -0.056045 0.30978 0.8186 CH 0.572 0.40768 0.15249 -0.6844 -0.12235 BW 0.52816 0.12247 0.077808 0.63011 -0.55041 ADM -0.22184 0.6786 -0.69227 0.07731 -0.071239 PDM -0.36662 0.58116 0.6988 0.18062 0.083064 Loadings PC Eigenvalue % variance 1 0.128413 72.355 2 0.0304198 17.14 3 0.010865 6.1219 4 0.00498687 2.8099 5 0.00279232 1.5733 Principal component analysis of logged data, PC 3 and PC 4 Discriminant analysis of logged data, Axis 1 and Axis 4 FABL CH BW ADM PDM -6.4 -4.8 -3.2 -1.6 0.0 1.6 3.2 4.8 Axis 1 -3 -2 -1 0 1 2 3 4 Axis 4 Biplot 0 Axis 1 Axis 4 Axis 1 Axis 2 Axis 3 Axis 4 Axis 5 FABL -0.031032 0.10167 0.0039833 -0.089857 -0.035373 CH -0.0225 0.12336 -0.020201 -0.072864 -0.13388 BW -0.033233 0.12723 -0.05948 -0.060829 -0.036232 ADM 0.044487 0.026665 0.085374 0.083933 0.012193 PDM 0.084086 -0.036484 0.012067 0.015433 0.020155 Axis Eigenvalue % variance 1 3.3281 79.91 2 0.57788 13.88 3 0.17112 4.109 4 0.079688 1.913 NCSM 33274 NCSM 33275 NCSM 33267 NCSM 33268 NCSM 33288 NCSM 33277 NCSM 33268 (est. CH) NCSM 33288 (est. CH) NCSM 33277 (est. CH) NCSM 33298 NCSM 33308 NCSM 33268 NCSM 33268 NCSM 33277 (est. CH)

Legend Lance Fm. (65.5-66.5 Ma)

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Page 1: Legend Lance Fm. (65.5-66.5 Ma)

Biplot

Com

pone

nt 3

Cliffs of Insanity teethDromaeosauridaeParonychodonRichardoestesiaSaurornitholes�naeTroodon�daeTyrannosauroidea

Lance Fm. (65.5-66.5 Ma)Hell Creek Fm. (65.5-66.75 Ma)Horseshoe Canyon Fm. (68-72 Ma)Fruitland Fm. (75.56±0.41-73.04±0.25 Ma)Kirtland Fm. (75.56±0.41-73.04±0.25 Ma)Dinosaur Park Fm. (76-75 Ma)Oldman Fm. (77-76 Ma)Menefee Fm.- Allison Mbr. (78±0.26 Ma)Aguja Fm. (~79 Ma)Judith River Fm. (79.5-75 Ma)Milk River Fm. (~83.5 Ma)Menefee Fm.- Point Lookout Ss. (Middle Santonian)Two Medicine Fm. (83-74 Ma)Straight Cliffs Fm.- John Henry Mbr. (85.8-?84 Ma)Cedar Mountain Fm.- Mussentuchit Mbr. (~99-98 Ma)

NCSM 33308

-8.0 -6.4 -4.8 -3.2 -1.6 0.0 1.6 3.2 4.8 6.4

Component 2

-4.8

-3.2

-1.6

0.0

1.6

3.2

4.8

6.4

Com

pone

nt 3 FABL

CH

BW

ADM

PDM

NCSM 33277

NCSM 33298

NCSM 33275

NCSM 33274

NCSM 33267

NCSM 33288

NCSM 33268 (est. CH)

NCSM 33288 (est. CH)

FABL CHBW

ADM

PDM

NCSM 33268 (est. CH)

-9 -6 -3 0 3 6 9 12 15

Component 1

-4.8

-3.2

-1.6

0.0

1.6

3.2

4.8

6.4

Com

pone

nt 3

Principal component analysis of non-transformed data, PC 1 and PC 3

NCSM 33298

NCSM 33275

NCSM 33277 NCSM 33277 (est. CH)

NCSM 33308NCSM 33267

NCSM 33288

NCSM 33288 (est. CH)

COI 8

0

Component 1

Com

pone

nt 3

0

Component 2

Legend

Biplot

FABLCH

BW

ADM

PDM

-8.0 -6.4 -4.8 -3.2 -1.6 0.0 1.6 3.2

Axis 2

-4.0

-3.2

-2.4

-1.6

-0.8

0.0

0.8

1.6

2.4

3.2

Axis

4

Biplot

0

Axis 2

Axis

4

NCSM 33268 (est. CH)

NCSM 33268

NCSM 33267

NCSM 33288

NCSM 33288 (est. CH)

NCSM 33274

NCSM 33275

NCSM 33277

NCSM 33277 (est. CH)

NCSM 33298

NCSM 33308

Discriminant analysis of non-transformed data, Axis 2 and Axis 4

Principal component analysis of non-transformed data, PC 2 and PC 3

PC 1 PC 2 PC 3 PC 4 PC 5FABL 0.35065 -0.011786 -0.01832 0.83047 -0.4323CH 0.81486 0.45715 -0.052796 -0.3516 -0.024716BW 0.19856 -0.014318 -0.038534 0.38402 0.90079ADM -0.20206 0.55245 0.79783 0.12789 0.032926PDM -0.36441 0.69676 -0.59905 0.15122 0.0013077

PC Eigenvalue % variance1 16.1585 70.992 4.02661 17.693 2.05155 9.01324 0.422085 1.85445 0.102932 0.45222

PC 1 PC 2 PC 3 PC 4 PC 5FABL 0.35065 -0.011786 -0.01832 0.83047 -0.4323CH 0.81486 0.45715 -0.052796 -0.3516 -0.024716BW 0.19856 -0.014318 -0.038534 0.38402 0.90079ADM -0.20206 0.55245 0.79783 0.12789 0.032926PDM -0.36441 0.69676 -0.59905 0.15122 0.0013077

PC Eigenvalue % variance1 16.1585 70.992 4.02661 17.693 2.05155 9.01324 0.422085 1.85445 0.102932 0.45222

Axis 1 Axis 2 Axis 3 Axis 4 Axis 5FABL -0.42634 -0.8433 0.28654 0.71236 -0.13685CH -0.56636 -2.0007 0.54536 0.98806 -1.797BW -0.24706 -0.60246 -0.072574 0.18285 -0.0745ADM 0.50574 0.023551 1.0309 -1.0136 0.20921PDM 1.206 0.19863 -0.22049 -0.019826 0.29867

Axis Eigenvalue % variance1 2.2407 73.482 0.52483 17.213 0.20229 6.6334 0.070585 2.315

Loadings

Loadings

Loadings

CH

BW

ADM

PDM

-1.2 -0.8 -0.4 0.0 0.4 0.8

Component 1

-0.8

-0.6

-0.4

-0.2

0.0

0.2

0.4

0.6

Com

pone

nt 2

FABL

NCSM 33274

NCSM 33275

NCSM 33267NCSM 33268

NCSM 33288

NCSM 33277

NCSM 33268 (est. CH)NCSM 33288 (est. CH)

NCSM 33277 (est. CH)

NCSM 33298

NCSM 33308

Biplot

0

Component 1

Com

pone

nt 2

PC 1 PC 2 PC 3 PC 4 PC 5FABL 0.45852 0.14336 -0.056045 0.30978 0.8186CH 0.572 0.40768 0.15249 -0.6844 -0.12235BW 0.52816 0.12247 0.077808 0.63011 -0.55041ADM -0.22184 0.6786 -0.69227 0.07731 -0.071239PDM -0.36662 0.58116 0.6988 0.18062 0.083064

Loadings

PC Eigenvalue % variance1 0.128413 72.3552 0.0304198 17.143 0.010865 6.12194 0.00498687 2.80995 0.00279232 1.5733

Principal component analysis of logged data, PC 1 and PC 2

FABL

CH

BW

ADMPDM

-0.40 -0.32 -0.24 -0.16 -0.08 0.00 0.08 0.16 0.24 0.32

Component 3

-0.30

-0.24

-0.18

-0.12

-0.06

0.00

0.06

0.12

0.18

0.24

Com

pone

nt 4

NCSM 33275

NCSM 33267

NCSM 33268 NCSM 33288

NCSM 33277

NCSM 33268 (est. CH)

NCSM 33277 (est. CH)

NCSM 33298

NCSM 33308

Biplot

0

Component 3

Com

pone

nt 4

NCSM 33274

NCSM 33288 (est. CH)

PC 1 PC 2 PC 3 PC 4 PC 5FABL 0.45852 0.14336 -0.056045 0.30978 0.8186CH 0.572 0.40768 0.15249 -0.6844 -0.12235BW 0.52816 0.12247 0.077808 0.63011 -0.55041ADM -0.22184 0.6786 -0.69227 0.07731 -0.071239PDM -0.36662 0.58116 0.6988 0.18062 0.083064

Loadings

PC Eigenvalue % variance1 0.128413 72.3552 0.0304198 17.143 0.010865 6.12194 0.00498687 2.80995 0.00279232 1.5733

Principal component analysis of logged data, PC 3 and PC 4

Discriminant analysis of logged data, Axis 1 and Axis 4

FABLCH

BW

ADM

PDM

-6.4 -4.8 -3.2 -1.6 0.0 1.6 3.2 4.8

Axis 1

-3

-2

-1

0

1

2

3

4

Axis

4

Biplot

0

Axis 1Ax

is 4

Axis 1 Axis 2 Axis 3 Axis 4 Axis 5FABL -0.031032 0.10167 0.0039833 -0.089857 -0.035373CH -0.0225 0.12336 -0.020201 -0.072864 -0.13388BW -0.033233 0.12723 -0.05948 -0.060829 -0.036232ADM 0.044487 0.026665 0.085374 0.083933 0.012193PDM 0.084086 -0.036484 0.012067 0.015433 0.020155

Axis Eigenvalue % variance1 3.3281 79.912 0.57788 13.883 0.17112 4.1094 0.079688 1.913

NCSM 33274 NCSM 33275

NCSM 33267

NCSM 33268

NCSM 33288

NCSM 33277

NCSM 33268 (est. CH)

NCSM 33288 (est. CH)

NCSM 33277 (est. CH)

NCSM 33298

NCSM 33308

NCSM 33268

NCSM 33268

NCSM 33277 (est. CH)