Page 10 - Statistics and Data Analysis in Geology

Contents

Reduced major axis and related regressions ............................ 214
Structural analysis and orthogonal regression .......................... 218
Regression through the origin ............................................ 220
Logarithmic transformations in regression .............................. 221
Weighted regression ...................................................... 224
Looking at residuals ....................................................... 227
Splines ........................................................................ 228
Segmenting Sequences ...................................................... 234
Zonation ................................................................... 234
Seriation ................................................................... 239
Autocorrelation .............................................................. 243
Cross-correlation ............................................................. 248
Cross-correlation and stratigraphic correlation ......................... 254
Semivariograms .............................................................. 254
Modeling the semivariogram ............................................. 261
Alternatives to the semivariogram ....................................... 264
Spectral Analysis ............................................................ 266
A quick review of trigonometry ........................................... 266
Harmonic analysis ......................................................... 268
The continuous spectrum ................................................. 275
Exercises ..................................................................... 278
Selected Readings ........................................................... 288

5 . Spatial Analysis .................................................... 293

Geologic Maps. Conventional and Otherwise ............................. 293
Systematic Patterns of Search ............................................. 295
Distribution of Points ....................................................... 299
Uniform density ........................................................... 300
Random patterns .......................................................... 302
Clustered patterns ........................................................ 307
Nearest-neighbor analysis ................................................ 310
Distribution of Lines ........................................................ 313
Analysis of Directional Data ................................................ 316
Testing hypotheses about circular directional data ..................... 322
Test for randomness ...................................................... 322
Test for a specified trend .................................................. 325
Test of goodness of fit .................................................... 326
Testing the equality of two sets of directional vectors ..................... 326
Spherical Distributions ...................................................... 330

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