| Chapter 9 : Relationship of brain size to selected variables |
| Raw data Listing |
| Obs | species | BRAIN | BODY | GESTATION | LITTER | LBrain | LBody |
|---|---|---|---|---|---|---|---|
| 1 | House mouse | 0.45 | 0.02 | 19 | 5.0 | -0.79851 | -3.72970 |
| 2 | Deer mouse III | 0.52 | 0.02 | 24 | 5.0 | -0.65393 | -4.07454 |
| 3 | Deer mouse II | 0.63 | 0.03 | 23 | 5.0 | -0.46204 | -3.64966 |
| 4 | Hampster I | 0.67 | 0.04 | 21 | 4.6 | -0.40048 | -3.32424 |
| 5 | Deer mouse I | 0.68 | 0.03 | 23 | 3.7 | -0.38566 | -3.61192 |
| 6 | Deer mouse IV | 0.69 | 0.02 | 24 | 5.0 | -0.37106 | -3.72970 |
| 7 | Rat I | 0.72 | 0.05 | 23 | 7.3 | -0.32850 | -2.99573 |
| 8 | Pygmy gerbil | 1.04 | 0.07 | 21 | 4.0 | 0.03922 | -2.73337 |
| 9 | Hampster II | 1.12 | 0.13 | 16 | 6.3 | 0.11333 | -2.04022 |
| 10 | Elephant shrew I | 1.14 | 0.05 | 51 | 1.5 | 0.13103 | -3.01593 |
| 11 | Hopping mouse | 1.18 | 0.15 | 27 | 5.6 | 0.16551 | -1.89712 |
| 12 | Elephant shrew II | 1.37 | 0.06 | 46 | 1.5 | 0.31481 | -2.74887 |
| 13 | Flying squirrel | 1.89 | 0.05 | 40 | 3.1 | 0.63658 | -2.95651 |
| 14 | Rat II | 2.38 | 0.34 | 21 | 8.0 | 0.86710 | -1.07881 |
| 15 | Tree shrew | 3.15 | 0.15 | 46 | 3.0 | 1.14740 | -1.89712 |
| 16 | Hedgehog | 3.50 | 0.93 | 34 | 4.6 | 1.25276 | -0.07257 |
| 17 | Guinea pig | 4.28 | 0.97 | 67 | 2.6 | 1.45395 | -0.03046 |
| 18 | Chinchilla | 5.25 | 0.43 | 110 | 2.0 | 1.65823 | -0.84397 |
| 19 | Tree squirrel | 6.23 | 0.33 | 38 | 3.0 | 1.82938 | -1.10866 |
| 20 | Gentle lemur | 7.80 | 0.22 | 145 | 2.0 | 2.05412 | -1.51413 |
| 21 | Aardvark | 9.60 | 2.20 | 31 | 5.0 | 2.26176 | 0.78846 |
| 22 | Bush baby | 9.90 | 0.70 | 135 | 1.0 | 2.29253 | -0.35667 |
| 23 | Acouchis | 9.90 | 0.78 | 98 | 1.2 | 2.29253 | -0.24846 |
| 24 | Long-nose armadillo | 12.00 | 3.70 | 120 | 4.0 | 2.48491 | 1.30833 |
| 25 | Slow loris | 12.80 | 1.20 | 90 | 1.2 | 2.54945 | 0.18232 |
| 26 | Jack rabbit | 13.30 | 2.90 | 41 | 2.5 | 2.58776 | 1.06471 |
| 27 | Quokka | 17.50 | 3.50 | 26 | 1.0 | 2.86220 | 1.25276 |
| 28 | Agoutis | 20.30 | 2.80 | 104 | 1.3 | 3.01062 | 1.02962 |
| 29 | Hyrax | 20.50 | 3.80 | 225 | 2.4 | 3.02042 | 1.33500 |
| 30 | Lemur | 22.00 | 2.10 | 135 | 1.0 | 3.09104 | 0.74194 |
| 31 | Nutria | 23.00 | 5.00 | 132 | 5.5 | 3.13549 | 1.60944 |
| 32 | Porcupine III | 24.00 | 6.60 | 113 | 1.0 | 3.17805 | 1.88707 |
| 33 | Domestic cat | 28.40 | 2.50 | 63 | 4.0 | 3.34639 | 0.91629 |
| 34 | Bat-eared fox | 28.50 | 3.20 | 65 | 4.0 | 3.34990 | 1.16315 |
| 35 | Linkajou | 31.20 | 2.00 | 77 | 1.1 | 3.44042 | 0.69315 |
| 36 | Porcupine I | 37.00 | 11.00 | 112 | 1.2 | 3.61092 | 2.39790 |
| 37 | Porcupine II | 37.00 | 14.00 | 112 | 1.2 | 3.61092 | 2.63906 |
| 38 | Gray fox | 37.30 | 3.80 | 63 | 3.7 | 3.61899 | 1.33500 |
| 39 | Canadian beaver | 40.00 | 20.00 | 128 | 2.9 | 3.68888 | 2.99573 |
| 40 | Raccoon | 41.60 | 5.30 | 63 | 3.5 | 3.72810 | 1.66771 |
| 41 | Beaver | 45.00 | 25.00 | 128 | 4.0 | 3.80666 | 3.21888 |
| 42 | Red fox | 48.00 | 6.00 | 52 | 4.0 | 3.87120 | 1.79176 |
| 43 | Badger | 53.00 | 6.00 | 60 | 2.2 | 3.97029 | 1.79176 |
| 44 | Howler monkey | 54.00 | 7.70 | 139 | 1.0 | 3.98898 | 2.04122 |
| 45 | Leaf monkey | 65.50 | 5.80 | 168 | 1.0 | 4.18205 | 1.75786 |
| 46 | Vervet guenon | 67.00 | 4.60 | 195 | 1.0 | 4.20469 | 1.52606 |
| 47 | Dog | 70.20 | 8.50 | 63 | 4.0 | 4.25135 | 2.14007 |
| 48 | Ring-tail monkey | 73.00 | 3.70 | 180 | 1.0 | 4.29046 | 1.30833 |
| 49 | Lynx | 75.00 | 12.00 | 60 | 2.5 | 4.31749 | 2.48491 |
| 50 | Capybara | 76.00 | 30.00 | 123 | 3.0 | 4.33073 | 3.40120 |
| 51 | Rhesus monkey I | 84.60 | 6.00 | 175 | 1.0 | 4.43793 | 1.79176 |
| 52 | Duikers | 93.00 | 13.00 | 120 | 1.0 | 4.53260 | 2.56495 |
| 53 | White-handed gibbon | 102.00 | 5.50 | 210 | 1.0 | 4.62497 | 1.70475 |
| 54 | Domestic goat | 106.00 | 30.00 | 151 | 2.0 | 4.66344 | 3.40120 |
| 55 | Rhesus monkey II | 107.00 | 8.70 | 165 | 1.1 | 4.67283 | 2.16332 |
| 56 | Spider monkey II | 109.00 | 7.70 | 140 | 1.0 | 4.69135 | 2.04122 |
| 57 | Spider monkey I | 114.00 | 9.10 | 140 | 1.0 | 4.73620 | 2.20827 |
| 58 | Barking deer | 124.00 | 16.00 | 183 | 1.1 | 4.82028 | 2.77259 |
| 59 | Domestic sheep | 125.00 | 49.00 | 150 | 2.4 | 4.82831 | 3.89182 |
| 60 | Leopard | 157.00 | 46.00 | 92 | 2.5 | 5.05625 | 3.82864 |
| 61 | Western baboon | 179.00 | 32.00 | 180 | 1.0 | 5.18739 | 3.46574 |
| 62 | Domestic pig | 180.00 | 190.00 | 115 | 8.0 | 5.19296 | 5.24702 |
| 63 | Hamadryas baboon | 183.00 | 21.00 | 180 | 1.0 | 5.20949 | 3.04452 |
| 64 | Wild boar | 185.00 | 150.00 | 120 | 4.0 | 5.22036 | 5.01064 |
| 65 | Vicuna | 198.00 | 45.00 | 300 | 1.1 | 5.28827 | 3.80666 |
| 66 | Black buck antilope | 200.00 | 39.00 | 180 | 1.0 | 5.29832 | 3.66356 |
| 67 | Barbary sheep | 210.00 | 66.00 | 158 | 1.2 | 5.34711 | 4.18965 |
| 68 | Axis deer | 219.00 | 89.00 | 218 | 1.0 | 5.38907 | 4.48864 |
| 69 | Fallow deer | 223.00 | 80.00 | 240 | 1.0 | 5.40717 | 4.38203 |
| 70 | Llama | 225.00 | 93.00 | 330 | 1.0 | 5.41610 | 4.53260 |
| 71 | Tapir | 250.00 | 230.00 | 390 | 1.0 | 5.52146 | 5.43808 |
| 72 | Lion | 260.00 | 180.00 | 108 | 3.0 | 5.56068 | 5.19296 |
| 73 | Pygmy hippopotamus | 260.00 | 150.00 | 205 | 1.0 | 5.56068 | 5.01064 |
| 74 | Caribou | 288.00 | 110.00 | 225 | 1.0 | 5.66296 | 4.70048 |
| 75 | Tiger | 302.00 | 210.00 | 104 | 3.0 | 5.71043 | 5.34711 |
| 76 | Yak | 334.00 | 250.00 | 255 | 1.0 | 5.81114 | 5.52146 |
| 77 | Orangutan | 343.00 | 37.00 | 270 | 1.0 | 5.83773 | 3.61092 |
| 78 | Fur seal | 355.00 | 250.00 | 254 | 1.0 | 5.87212 | 5.52146 |
| 79 | Chimpanzee | 360.00 | 45.00 | 230 | 1.0 | 5.88610 | 3.80666 |
| 80 | Sea lion | 363.00 | 100.00 | 343 | 1.0 | 5.89440 | 4.60517 |
| 81 | Elk | 365.00 | 120.00 | 235 | 1.0 | 5.89990 | 4.78749 |
| 82 | Sambar | 383.00 | 120.00 | 246 | 1.1 | 5.94803 | 4.78749 |
| 83 | Grizzly bear | 400.00 | 250.00 | 219 | 2.3 | 5.99146 | 5.52146 |
| 84 | Gorilla | 406.00 | 140.00 | 265 | 1.0 | 6.00635 | 4.94164 |
| 85 | Red deer | 435.00 | 200.00 | 255 | 1.0 | 6.07535 | 5.29832 |
| 86 | Harp seal | 442.00 | 110.00 | 240 | 1.0 | 6.09131 | 4.70048 |
| 87 | Cattle | 456.00 | 520.00 | 280 | 1.0 | 6.12249 | 6.25383 |
| 88 | Eland | 480.00 | 560.00 | 255 | 1.0 | 6.17379 | 6.32794 |
| 89 | Beaked whale | 500.00 | 250.00 | 240 | 1.8 | 6.21461 | 5.52146 |
| 90 | Porpoise | 537.00 | 56.00 | 270 | 1.0 | 6.28600 | 4.02535 |
| 91 | Weddell seal | 550.00 | 400.00 | 310 | 1.0 | 6.30992 | 5.99146 |
| 92 | Hippopotamus | 590.00 | 1400.00 | 240 | 1.0 | 6.38012 | 7.24423 |
| 93 | Horse | 712.00 | 480.00 | 330 | 1.0 | 6.56808 | 6.17379 |
| 94 | Human being | 1300.00 | 65.00 | 270 | 1.0 | 7.17012 | 4.17439 |
| 95 | Dolphin | 1600.00 | 160.00 | 360 | 1.0 | 7.37776 | 5.07517 |
| 96 | African elephant | 4480.00 | 2800.00 | 655 | 1.0 | 8.40738 | 7.93737 |
| Chapter 9 : Relationship of brain size to selected variables |
| Plot of the raw data |
Plot of BRAIN*GESTATION. Symbol is value of species.
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GESTATION
NOTE: 36 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Plot of the raw data |
Plot of BRAIN*LITTER. Symbol is value of species.
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NOTE: 48 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Plot of the raw data |
Plot of BRAIN*BODY. Symbol is value of species.
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NOTE: 62 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Plot of the raw data |
Plot of LBrain*LBody. Symbol is value of species.
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| Chapter 9 : Relationship of brain size to selected variables |
| Plot of the raw data |
| 6 Variables: | BRAIN BODY GESTATION LITTER LBrain LBody |
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| Simple Statistics | ||||||
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| Variable | N | Mean | Std Dev | Sum | Minimum | Maximum |
| BRAIN | 96 | 218.97698 | 506.96801 | 21022 | 0.45000 | 4480 |
| BODY | 96 | 108.32775 | 329.41140 | 10399 | 0.01700 | 2800 |
| GESTATION | 96 | 151.26042 | 108.06609 | 14521 | 16.00000 | 655.00000 |
| LITTER | 96 | 2.31042 | 1.74703 | 221.80000 | 1.00000 | 8.00000 |
| LBrain | 96 | 3.86458 | 2.17113 | 370.99922 | -0.79851 | 8.40738 |
| LBody | 96 | 2.13050 | 2.91107 | 204.52768 | -4.07454 | 7.93737 |
| Pearson Correlation Coefficients, N = 96 Prob > |r| under H0: Rho=0 |
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| Chapter 9 : Relationship of brain size to selected variables |
| Initial fit of the raw data |
| Simple Regression with REG |
| Number of Observations Read | 96 |
|---|---|
| Number of Observations Used | 96 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 19777226 | 6592409 | 130.73 | <.0001 |
| Error | 92 | 4639348 | 50428 | ||
| Corrected Total | 95 | 24416574 | |||
| Root MSE | 224.56111 | R-Square | 0.8100 |
|---|---|---|---|
| Dependent Mean | 218.97698 | Adj R-Sq | 0.8038 |
| Coeff Var | 102.55010 |
| Parameter Estimates | |||||||
|---|---|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| | Standardized Estimate |
Variance Inflation |
| Intercept | 1 | -225.29213 | 83.05875 | -2.71 | 0.0080 | 0 | 0 |
| BODY | 1 | 0.98588 | 0.09428 | 10.46 | <.0001 | 0.64059 | 1.81717 |
| GESTATION | 1 | 1.80874 | 0.35445 | 5.10 | <.0001 | 0.38555 | 2.76402 |
| LITTER | 1 | 27.64864 | 17.41429 | 1.59 | 0.1158 | 0.09528 | 1.74367 |
| Collinearity Diagnostics | ||||||
|---|---|---|---|---|---|---|
| Number | Eigenvalue | Condition Index |
Proportion of Variation | |||
| Intercept | BODY | GESTATION | LITTER | |||
| 1 | 2.61903 | 1.00000 | 0.00986 | 0.02470 | 0.01429 | 0.01758 |
| 2 | 0.98271 | 1.63251 | 0.00543 | 0.28738 | 0.00774 | 0.06285 |
| 3 | 0.35660 | 2.71006 | 0.01262 | 0.38206 | 0.11314 | 0.19407 |
| 4 | 0.04165 | 7.92937 | 0.97209 | 0.30586 | 0.86482 | 0.72550 |
| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Number of Observations Read | 96 |
|---|---|
| Number of Observations Used | 96 |
| Analysis of Variance | |||||
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| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 425.79663 | 141.93221 | 593.13 | <.0001 |
| Error | 92 | 22.01497 | 0.23929 | ||
| Corrected Total | 95 | 447.81160 | |||
| Root MSE | 0.48918 | R-Square | 0.9508 |
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| Dependent Mean | 3.86458 | Adj R-Sq | 0.9492 |
| Coeff Var | 12.65795 |
| Parameter Estimates | |||||||
|---|---|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| | Standardized Estimate |
Variance Inflation |
| Intercept | 1 | 2.67415 | 0.16206 | 16.50 | <.0001 | 0 | 0 |
| LBody | 1 | 0.61874 | 0.02722 | 22.73 | <.0001 | 0.82962 | 2.49265 |
| GESTATION | 1 | 0.00171 | 0.00078916 | 2.16 | 0.0330 | 0.08501 | 2.88736 |
| LITTER | 1 | -0.16714 | 0.03620 | -4.62 | <.0001 | -0.13449 | 1.58777 |
| Collinearity Diagnostics | ||||||
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| Number | Eigenvalue | Condition Index |
Proportion of Variation | |||
| Intercept | LBody | GESTATION | LITTER | |||
| 1 | 2.89305 | 1.00000 | 0.01018 | 0.01961 | 0.01194 | 0.01372 |
| 2 | 0.90920 | 1.78381 | 0.00653 | 0.09691 | 0.01174 | 0.12694 |
| 3 | 0.14524 | 4.46305 | 0.08496 | 0.74490 | 0.21299 | 0.29486 |
| 4 | 0.05251 | 7.42294 | 0.89833 | 0.13859 | 0.76333 | 0.56447 |
| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Test 1 Results for Dependent Variable LBrain | ||||
|---|---|---|---|---|
| Source | DF | Mean Square |
F Value | Pr > F |
| Numerator | 1 | 46.94597 | 196.19 | <.0001 |
| Denominator | 92 | 0.23929 | ||
| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Residual analysis |
Plot of resid*YHat. Symbol is value of species.
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NOTE: 2 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Residual analysis |
Plot of resid*BODY. Symbol is value of species.
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NOTE: 41 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Residual analysis |
Plot of resid*GESTATION. Symbol is value of species.
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GESTATION
NOTE: 9 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Residual analysis |
Plot of resid*LITTER. Symbol is value of species.
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LITTER
NOTE: 25 obs hidden.
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| Chapter 9 : Relationship of brain size to selected variables |
| Fit of the transformed data |
| Simple Regression with REG |
| Residual analysis |
| Moments | |||
|---|---|---|---|
| N | 96 | Sum Weights | 96 |
| Mean | 0 | Sum Observations | 0 |
| Std Deviation | 0.48139016 | Variance | 0.23173649 |
| Skewness | 0.40284286 | Kurtosis | 0.3355239 |
| Uncorrected SS | 22.0149663 | Corrected SS | 22.0149663 |
| Coeff Variation | . | Std Error Mean | 0.04913168 |
| Basic Statistical Measures | |||
|---|---|---|---|
| Location | Variability | ||
| Mean | 0.00000 | Std Deviation | 0.48139 |
| Median | -0.04334 | Variance | 0.23174 |
| Mode | . | Range | 2.63821 |
| Interquartile Range | 0.70032 | ||
| Tests for Location: Mu0=0 | ||||
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| Test | Statistic | p Value | ||
| Student's t | t | 0 | Pr > |t| | 1.0000 |
| Sign | M | -5 | Pr >= |M| | 0.3584 |
| Signed Rank | S | -81 | Pr >= |S| | 0.7690 |
| Tests for Normality | ||||
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| Test | Statistic | p Value | ||
| Shapiro-Wilk | W | 0.982393 | Pr < W | 0.2258 |
| Kolmogorov-Smirnov | D | 0.073231 | Pr > D | >0.1500 |
| Cramer-von Mises | W-Sq | 0.069917 | Pr > W-Sq | >0.2500 |
| Anderson-Darling | A-Sq | 0.431494 | Pr > A-Sq | >0.2500 |
| Quantiles (Definition 5) | |
|---|---|
| Quantile | Estimate |
| 100% Max | 1.6190788 |
| 99% | 1.6190788 |
| 95% | 0.7044858 |
| 90% | 0.6353334 |
| 75% Q3 | 0.3458140 |
| 50% Median | -0.0433379 |
| 25% Q1 | -0.3545094 |
| 10% | -0.5477752 |
| 5% | -0.6895717 |
| 1% | -1.0191271 |
| 0% Min | -1.0191271 |
| Extreme Observations | |||
|---|---|---|---|
| Lowest | Highest | ||
| Value | Obs | Value | Obs |
| -1.019127 | 92 | 0.704486 | 53 |
| -1.016438 | 71 | 0.813986 | 47 |
| -0.881229 | 17 | 0.827172 | 90 |
| -0.732271 | 87 | 1.115645 | 95 |
| -0.689572 | 32 | 1.619079 | 94 |
Stem Leaf # Boxplot Normal Probability Plot
16 2 1 0 1.7+ *
14 |
12 | +
10 2 1 | | *+++
8 13 2 | | +**+
6 233477780 9 | | *******
4 0122501126 10 | | *****+
2 2334778009 10 +-----+ 0.3+ ****+
0 1233567866 10 | + | | +****
-0 9965432119987542111 19 *-----* | ******
-2 65218776522 11 +-----+ | *****
-4 754419966643100 15 | | ******
-6 39987 5 | | *****+
-8 8 1 | | +*++
-10 22 2 | -1.1+*+++*
----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+
Multiply Stem.Leaf by 10**-1 -2 -1 0 +1 +2
|