Randomization, bootstrap and Monte Carlo methods in biology:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
Chapman & Hall/CRC
2007
|
| Edition: | 3. ed. |
| Series: | Texts in statistical science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 455 S. |
| ISBN: | 1584885416 |
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Record in the Search Index
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| adam_text | Titel: Randomization, bootstrap and Monte Carlo methods in biology
Autor: Manly, Bryan F. J.
Jahr: 2007
Table of Contents
Chapter 1 Randomization..................................................................1
1.1 The Idea of a Randomization Test................................................1
1.2 Examples of Randomization Tests................................................4
1.3 Aspects of Randomization Testing Raised by the
Examples......................................................................................14
1.3.1 Sampling the Randomization Distribution
or Systematic Enumeration.............................................15
1.3.2 Equivalent Test Statistics...............................................16
1.3.3 Significance Levels for Classical
and Randomization Tests................................................17
1.3.4 Limitations of Randomization Tests...............................18
1.4 Confidence Limits by Randomization.........................................18
1.5 Applications of Randomization in Biology
and Related Areas........................................................................21
1.5.1 Single Species Ecology.....................................................21
1.5.2 Genetics, Evolution, and Natural Selection...................22
1.5.3 Community Ecology.........................................................23
1.5.4 Other Environmental Applications.................................25
1.6 Randomization and Observational Studies................................25
1.7 Chapter Summary...................................................................... 26
Chapter 2 The Jackknife.................................................................29
2.1 The Jackknife Estimator.............................................................29
2.2 Applications of Jackknifing in Biology.......................................35
2.2.1 Single-Species Analyses...................................................35
2.2.2 Genetics, Evolution, and Natural Selection...................35
2.2.3 Community Ecology.........................................................36
2.3 Chapter Summary.......................................................................40
Chapter 3 The Bootstrap.................................................................41
3.1 Resampling with Replacement.................................................41
3.2 Standard Bootstrap Confidence Limits....................................42
3.3 Simple Percentile Confidence Limits.......................................46
3.4 Bias-Corrected Percentile Confidence Limits..........................52
3.5 Accelerated Bias-Corrected Percentile Limits.........................57
3.6 Other Methods for Constructing Confidence Intervals..........65
3.7 Transformations to Improve Bootstrap-t Intervals.................68
3.8 Parametric Confidence Intervals..............................................70
3.9 A Better Estimate of Bias.........................................................70
3.10 Bootstrap Tests of Significance.................................................71
3.11 Balanced Bootstrap Sampling..................................................74
3.12 Applications of Bootstrapping in Biology.................................74
3.12.1 Single-Species Ecology.................................................75
3.12.2 Genetics, Evolution, and Natural Selection...............76
3.12.3 Community Ecology......................................................77
3.12.4 Other Ecological and Environmental
Applications..................................................................77
3.13 Further Reading........................................................................78
3.14 Chapter Summary.................................................................... 79
Chapter 4 Monte Carlo Methods.....................................................81
4.1 Monte Carlo Tests........................................................................81
4.2 Generalized Monte Carlo Tests...................................................84
4.3 Implicit Statistical Models..........................................................86
4.4 Applications of Monte Carlo Methods in Biology......................88
4.4.1 Single-Species Ecology.....................................................89
4.4.2 Genetics and Evolution....................................................89
4.4.3 Community Ecology.........................................................90
4.5 Chapter Summary.......................................................................90
Chapter 5 Some General Considerations.......................................93
5.1 Questions about Computer-Intensive Methods.........................93
5.2 Power............................................................................................94
5.3 Number of Random Sets of Data Needed for a Test.................94
5.4 Determining a Randomization Distribution Exactly................99
5.5 The Number of Replications for Confidence Intervals...........101
5.6 More Efficient Bootstrap Sampling Methods..........................103
5.7 The Generation of Pseudo-Random Numbers.........................103
5.8 The Generation of Random Permutations...............................104
5.9 Chapter Summary.....................................................................105
Chapter 6 One- and Two-Sample Tests........................................107
6.1 The Paired Comparisons Design............................................107
6.2 The One-Sample Randomization Test....................................112
6.3 The Two-Sample Randomization Test....................................113
6.4 Bootstrap Tests........................................................................116
6.5 Randomizing Residuals...........................................................117
6.6 Comparing the Variation in Two Samples.............................119
6.7 A Simulation Study.................................................................122
6.8 The Comparison of Two Samples on Multiple
Measurements..........................................................................124
6.9 Further Reading......................................................................129
6.10 Chapter Summary...................................................................130
Chapter 7 Analysis of Variance.....................................................135
7.1 One-Factor Analysis of Variance...............................................135
7.2 Tests for Constant Variance......................................................137
7.3 Testing for Mean Differences Using Residuals.......................138
7.4 Examples of More Complicated Types
of Analysis of Variance..............................................................143
7.5 Procedures for Handling Unequal Variances..........................161
7.6 Other Aspects of Analysis of Variance.....................................162
7.7 Further Reading.........................................................................163
7.8 Chapter Summary.....................................................................165
Chapter 8 Regression Analysis......................................................169
8.1 Simple Linear Regression.........................................................169
8.2 Randomizing Residuals.............................................................171
8.3 Testing for a Nonzero ß Value..................................................175
8.4 Confidence Limits for ß.............................................................175
8.5 Multiple Linear Regression.......................................................176
8.6 Alternative Randomization Methods with Multiple
Regression...................................................................................180
8.7 Bootstrapping and Jackknifmg with Regression................... 196
8.8 Further Reading.........................................................................197
8.9 Chapter Summary.....................................................................200
Chapter 9 Distance Matrices and Spatial Data..........................203
9.1 Testing for Association between Distance Matrices................203
9.2 The Mantel Test.........................................................................205
9.3 Sampling the Randomization Distribution..............................207
9.4 Confidence Limits for Regression Coefficients........................210
9.5 The Multiple Mantel Test..........................................................212
9.6 Other Approaches with More Than Two Matrices..................213
9.7 Further Reading.........................................................................230
9.8 Chapter Summary.....................................................................232
Chapter 10 Other Analyses on Spatial Data...............................239
10.1 Spatial Data Analysis............................................................239
10.2 The Study of Spatial Point Patterns....................................239
10.3 Mead s Randomization Test...................................................240
10.4 Tests for Randomness Based on Distances..........................245
10.5 Testing for an Association between Two
Point Patterns........................................................................247
10.6 The Besag-Diggle Test..........................................................248
10.7 Tests Using Distances between Points.................................250
10.8 Testing for Random Marking................................................252
10.9 Further Reading.....................................................................255
10.10 Chapter Summary..................................................................256
Chapter 11 Time Series.................................................................261
11.1 Randomization and Time Series...........................................261
11.2 Randomization Tests for Serial Correlation........................262
11.3 Randomization Tests for Trend.............................................267
11.4 Randomization Tests for Periodicity.....................................274
11.5 Irregularly Spaced Series......................................................281
11.6 Tests on Times of Occurrence...............................................283
11.7 Discussion on Procedures for Irregular Series....................285
11.8 Bootstrap Methods.................................................................290
11.9 Monte Carlo Methods.......................................... ! !! !.... 290
11.10 Model-Based vs. Moving-Block Resampling........................292
11.11 Further Reading.....................................................................294
11.12 Chapter Summary..................................................................297
Chapter 12 Multivariate Data.......................................................301
12.1 Univariate and Multivariate Tests.........................................301
12.2 Sample Mean Vectors and Covariance Matrices...................301
12.3 Comparison of Sample Mean Vectors.....................................302
12.4 Chi-Squared Analyses for Count Data............ÆÓÓ ÓÓÆ 312
12.5 Comparison of Variations for Several Samples..... [Z . . . .Z .. 314
12.6 Principal Components Analysis and Other
One-Sample Methods.................................. 314
12.7 Discriminant Function Analysis.............................................317
12.8 Further Reading......................................................................320
12.9 Chapter Summary...................................................................321
Chapter 13 Survival and Growth Data........................................325
13.1 Bootstrapping Survival Data..................................................325
13.2 Bootstrapping for Variable Selection......................................327
13.3 Bootstrapping for Model Selection.........................................329
13.4 Group Comparisons.................................................................330
13.5 Growth Data.............................................................................331
13.6 Further Reading......................................................................336
13.7 Chapter Summary...................................................................337
Chapter 14 Nonstandard Situations.............................................341
14.1 The Construction of Tests in Nonstandard Situations.........341
14.2 Species Co-Occurrences on Islands........................................341
14.3 Alternative Switching Algorithms..........................................351
14.4 Examining Time Changes in Niche Overlap.........................354
14.5 Probing Multivariate Data with Random Skewers...............360
14.6 Ant Species Sizes in Europe...................................................365
14.7 Chapter Summary...................................................................370
Chapter 15 Bayesian Methods......................................................371
15.1 The Bayesian Approach to Data Analysis.............................371
15.2 The Gibbs Sampler and Related Methods.............................372
15.3 Biological Applications.............................................................377
15.4 Further Reading......................................................................378
15.5 Chapter Summary.................................................................. 379
Chapter 16 Final Comments.........................................................381
16.1 Randomization.........................................................................381
16.2 Bootstrapping...........................................................................382
16.3 Monte Carlo Methods in General...........................................382
16.4 Classical vs. Bayesian Inference............................................383
References........................................................................................385
Appendix Software for Computer-Intensive Statistics................435
Author Index....................................................................................439
Subject Index...................................................................................449
|
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| discipline | Biologie Mathematik |
| edition | 3. ed. |
| format | Book |
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| spelling | Manly, Bryan F. J. 1944- Verfasser (DE-588)131634062 aut Randomization, bootstrap and Monte Carlo methods in biology Bryan F. J. Manly 3. ed. Boca Raton, Fla. [u.a.] Chapman & Hall/CRC 2007 455 S. txt rdacontent n rdamedia nc rdacarrier Texts in statistical science Monte-Carlo-Simulation (DE-588)4240945-7 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Biostatistik (DE-588)4729990-3 gnd rswk-swf Randomisierung (DE-588)4280827-3 gnd rswk-swf Resampling (DE-588)4288033-6 gnd rswk-swf Bootstrap-Statistik (DE-588)4139168-8 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 s Biologie (DE-588)4006851-1 s DE-604 Randomisierung (DE-588)4280827-3 s Biostatistik (DE-588)4729990-3 s Bootstrap-Statistik (DE-588)4139168-8 s Resampling (DE-588)4288033-6 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022118389&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Manly, Bryan F. J. 1944- Randomization, bootstrap and Monte Carlo methods in biology Monte-Carlo-Simulation (DE-588)4240945-7 gnd Biologie (DE-588)4006851-1 gnd Biostatistik (DE-588)4729990-3 gnd Randomisierung (DE-588)4280827-3 gnd Resampling (DE-588)4288033-6 gnd Bootstrap-Statistik (DE-588)4139168-8 gnd |
| subject_GND | (DE-588)4240945-7 (DE-588)4006851-1 (DE-588)4729990-3 (DE-588)4280827-3 (DE-588)4288033-6 (DE-588)4139168-8 |
| title | Randomization, bootstrap and Monte Carlo methods in biology |
| title_auth | Randomization, bootstrap and Monte Carlo methods in biology |
| title_exact_search | Randomization, bootstrap and Monte Carlo methods in biology |
| title_full | Randomization, bootstrap and Monte Carlo methods in biology Bryan F. J. Manly |
| title_fullStr | Randomization, bootstrap and Monte Carlo methods in biology Bryan F. J. Manly |
| title_full_unstemmed | Randomization, bootstrap and Monte Carlo methods in biology Bryan F. J. Manly |
| title_short | Randomization, bootstrap and Monte Carlo methods in biology |
| title_sort | randomization bootstrap and monte carlo methods in biology |
| topic | Monte-Carlo-Simulation (DE-588)4240945-7 gnd Biologie (DE-588)4006851-1 gnd Biostatistik (DE-588)4729990-3 gnd Randomisierung (DE-588)4280827-3 gnd Resampling (DE-588)4288033-6 gnd Bootstrap-Statistik (DE-588)4139168-8 gnd |
| topic_facet | Monte-Carlo-Simulation Biologie Biostatistik Randomisierung Resampling Bootstrap-Statistik |
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