Preface |
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ix | |
Acknowledgments |
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xi | |
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1 | (7) |
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The nature of paleontological data |
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1 | (3) |
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Advantages and pitfalls of paleontological data analysis |
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4 | (3) |
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7 | (1) |
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Basic statistical methods |
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8 | (53) |
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8 | (4) |
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Statistical distributions |
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12 | (7) |
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Shapiro-Wilk test for normal distribution |
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19 | (3) |
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F test for equality of variances |
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22 | (1) |
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Student's t test and Welch test for equality of means |
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23 | (4) |
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Mann-Whitney U test for equality of medians |
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27 | (3) |
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Kolmogorov--Smirnov test for equality of distribution |
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30 | (3) |
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Bootstrapping and permutation |
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33 | (2) |
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35 | (4) |
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39 | (3) |
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42 | (4) |
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Non-parametric tests for correlation |
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46 | (2) |
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48 | (5) |
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Reduced major axis regression |
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53 | (4) |
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57 | (4) |
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Introduction to multivariate data analysis |
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61 | (17) |
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Approaches to multivariate data analysis |
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61 | (1) |
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Multivariate distributions |
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62 | (1) |
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Parametric multivariate tests -- Hotelling's T2 |
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63 | (3) |
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Non-parametric multivariate tests -- permutation test |
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66 | (1) |
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Hierarchical cluster analysis |
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67 | (8) |
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75 | (3) |
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78 | (79) |
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78 | (1) |
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79 | (4) |
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Principal components analysis (PCA) |
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83 | (8) |
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91 | (5) |
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Discriminant analysis for two groups |
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96 | (4) |
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Canonical variate analysis (CVA) |
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100 | (3) |
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103 | (2) |
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Fourier shape analysis in polar coordinates |
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105 | (3) |
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Elliptic Fourier analysis |
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108 | (4) |
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112 | (3) |
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Landmarks and size measures |
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115 | (2) |
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117 | (4) |
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121 | (1) |
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Thin-plate spline deformations |
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122 | (6) |
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Principal and partial warps |
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128 | (4) |
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132 | (2) |
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Regression of warp scores |
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134 | (2) |
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Disparity measures and morphospaces |
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136 | (5) |
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Point distribution statistics |
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141 | (4) |
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145 | (12) |
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Case study: The ontogeny of a Silurian trilobite |
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148 | (9) |
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157 | (26) |
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157 | (3) |
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160 | (1) |
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161 | (5) |
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Character state reconstruction |
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166 | (2) |
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Evaluation of characters and trees |
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168 | (1) |
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168 | (2) |
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170 | (1) |
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171 | (1) |
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172 | (2) |
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174 | (1) |
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Stratigraphic congruency indices |
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175 | (3) |
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Phylogenetic analysis with maximum likelihood |
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178 | (5) |
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Case study: The systematics of heterosporous ferns |
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179 | (4) |
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Paleobiogeography and paleoecology |
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183 | (71) |
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183 | (3) |
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186 | (7) |
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193 | (3) |
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Comparison of diversity indices |
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196 | (2) |
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198 | (4) |
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202 | (4) |
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206 | (2) |
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Size-frequency and survivorship curves |
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208 | (3) |
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Association similarity indices for presence/absence data |
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211 | (5) |
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Association similarity indices for abundance data |
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216 | (5) |
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221 | (2) |
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223 | (10) |
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Principal coordinates analysis (PCO) |
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233 | (3) |
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Non-metric multidimensional scaling (NMDS) |
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236 | (4) |
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240 | (14) |
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Case study: Ashgill brachiopod-dominated paleocommunities from East China |
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244 | (10) |
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254 | (25) |
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254 | (1) |
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255 | (5) |
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260 | (3) |
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263 | (3) |
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266 | (3) |
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269 | (2) |
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271 | (8) |
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Case study: Sepkoski's generic diversity curve for the Phanerozoic |
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273 | (6) |
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Quantitative biostratigraphy |
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279 | (38) |
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279 | (2) |
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Parametric confidence intervals on stratigraphic ranges |
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281 | (2) |
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Non-parametric confidence intervals on stratigraphic ranges |
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283 | (3) |
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286 | (5) |
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291 | (7) |
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298 | (8) |
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306 | (8) |
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Biostratigraphy by ordination |
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314 | (1) |
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What is the best method for quantitative biostratigraphy? |
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315 | (2) |
Appendix A: Plotting techniques |
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317 | (11) |
Appendix B: Mathematical concepts and notation |
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328 | (5) |
References |
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333 | (12) |
Index |
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345 | |