Page 11 - Statistics and Data Analysis in Geology

Con tents

Matrix representation of vectors ......................................... 334
Displaying spherical data ................................................. 338
Testing hypotheses about spherical directional data ................... 341
A test of randomness ..................................................... 341
Fractal Analysis .............................................................. 342
Ruler procedure ........................................................... 343
Grid-cell procedure ........................................................ 346
Spectral procedures ....................................................... 351
Higher dimensional fractals .............................................. 353
Shape ......................................................................... 355
Fourier measurements of shape .......................................... 359
Spatial Analysis by ANOVA ................................................ 366
Computer Contouring ....................................................... 370
Contouring by triangulation .............................................. 374
Contouring by gridding ................................................... 380
Problems in contour mapping ............................................ 391
Extensions of contour mapping .......................................... 394
Trend Surfaces ............................................................... 397
Statistical tests of trends ................................................. 407
Two trend-surface models ................................................ 412
Pitfalls ...................................................................... 414
Kriging ....................................................................... 416
Simple kriging ............................................................. 418
Ordinary kriging ........................................................... 420
Universal kriging .......................................................... 428
Calculating the drift ....................................................... 433
An example ............................................................... 435
Block kriging ............................................................... 437
Exercises ..................................................................... 443
Selected Readings ........................................................... 452

6 . Analysis of Multivariate Data ............................... 461

Multiple Regression ......................................................... 462
Discriminant Functions ..................................................... 471
Tests of significance ...................................................... 477
Multivariate Extensions of Elementary Statistics ......................... 479
Equality of two vector means ............................................. 483
Equality of variance-covariance matrices ................................ 484

Cluster Analysis .............................................................. 487

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