Introduction to statistical data analysis for the life sciences:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
2011
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XI, 415 S. graph. Darst. |
| ISBN: | 9781439825556 |
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Record in the Search Index
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| adam_text | Titel: Introduction to statistical data analysis for the life sciences
Autor: Ekstrøm, Claus Thorn
Jahr: 2011
Contents
Preface ix
1 Description of samples and populations 1
1.1 Datatypes.............................. 2
1.2 Visualizing categorical data.................... 4
1.3 Visualizing quantitative data ................... 6
1.4 Statistical summaries........................ 7
1.5 What is a probability? ....................... 16
1.6 R ................................... 17
1.7 Exercises............................... 20
2 Linear regression 25
2.1 Fitting a regression line ...................... 27
2.2 When is linear regression appropriate? ............. 32
2.3 The correlation coefficient..................... 36
2.4 Perspective ............................. 39
2.5 R ................................... 42
2.6 Exercises............................... 44
3 Comparison of groups 49
3.1 Graphical and simple numerical comparison.......... 49
3.2 Between-group Variation and within-group Variation..... 52
3.3 Populations, samples, and expected values........... 53
3.4 Least Squares estimation and residuals ............. 54
3.5 Paired and unpaired samples................... 56
3.6 Perspective............................. 58
3.7 R ................................... 60
3.8 Exercises............................... 63
4 The normal distribution 67
4.1 Properties...................?.......... 67
4.2 One sample............................. 78
4.3 Are the data (approximately) normally distributed? ...... 80
4.4 The central limit theorem..................... 86
4.5 R................................... 89
4.6 Exercises . .............................. 91
vi
5 Statistical modeis, estimation, and confidence intervals 99
5.1 Statistical modeis..........................
5.2 Estimation.............................. 106
5.3 Confidence intervals........................ ^
5.4 Unpaired samples with different Standard deviations..... 127
5.5 R ................................... 129
5.6 Exercises............................... 138
6 Hypothesis tests *45
6.1 Null hypotheses .......................... 149
6.2 Mests................................. 153
6.3 Tests in a one-way ANOVA.................... 159
6.4 Hypothesis tests as comparison of nested modeis ....... 166
6.5 Type I and type II errors...................... 168
6.6 R ................................... m
6.7 Exercises............................... *76
7 Model Validation and prediction 185
7.1 Model Validation.......................... 185
7.2 Prediction.............................. 195
7.3 R ................................... 201
7.4 Exercises............................... 203
8 Linear normal modeis 209
8.1 Multiple linear regression..................... 209
8.2 Additive two-way analysis of variance ............. 216
8.3 Linear modeis............................ 226
8.4 Interactions between variables .................. 235
8.5 R ................................... 247
8.6 Exercises............................... 253
9 Probabilities 257
9.1 Outcomes, events, and probabilities............... 257
9.2 Conditional probabilities ..................... 261
9.3 Independence............................ 264
9.4 Exercises............................... 268
10 The binomial distribution 273
10.1 The independent trials model................... 273
10.2 The binomial distribution..................... 274
10.3 Estimation, confidence intervals, and hypothesis tests..... 282
10.4 Differences between proportions................. 287
10.5 R ................................... 289
10.6 Exercises.................. ........ 292
Vll
11 Analysis of count data 295
11.1 The chi-square test for goodness-of-fit.............. 295
11.2 2 x 2 contingency table ...................... 300
11.3 Two-sided contingency tables................... 310
11.4 R ................................... 312
11.5 Exercises............................... 316
12 Logistic regression 321
12.1 Odds and odds ratios ....................... 321
12.2 Logistic regression modeis .................... 323
12.3 Estimation and confidence intervals............... 328
12.4 Hypothesis tests .......................... 330
12.5 Model Validation and prediction................. 333
12.6 R ................................... 337
12.7 Exercises............................... 344
13 Case exercises 351
Casel: Linear modeling......................... 351
Case 2: Data transformations ...................... 353
Case 3: Two sample comparisons.................... 355
Case 4: Linear regression with and without intercept ........ 358
Case 5: Analysis of variance and test for linear trend ........ 359
Case 6: Regression modeling and transformations.......... 362
Case 7: Linear modeis .......................... 364
Case 8: Binary variables ......................... 366
Case 9: Agreement ............................ 370
Case 10: Logistic regression....................... 373
A Summary of inference methods 375
A.l Statistical concepts......................... 375
A.2 Statistical analysis ......................... 376
A3 Model selection........................... 377
B Introduction to R 381
B.l WorkingwithR........................... 381
B.2 Data frames and reading data into R............... 386
B.3 Manipulating data ......................... 390
B.4 Graphics with R........................... 392
B.5 Reproducible research....................... 394
B.6 InstallingR ............................. 395
B.7 Exercises............................... 396
Vlll
C Statistical tables 399
C.l The x2 distribution......................... 399
C.2 The normal distribution...................... 400
C.3 The t distribution.......................... 402
C.4 The F distribution ......................... 403
Bibliography 405
Index 409
|
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| spelling | Ekstrøm, Claus Thorn Verfasser aut Introduction to statistical data analysis for the life sciences Claus Thorn Ekstrøm ; Helle Sørensen Boca Raton, Fla. [u.a.] CRC Press 2011 XI, 415 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Biowissenschaften Mathematical statistics Textbooks Life sciences Statistical methods Textbooks Biostatistik (DE-588)4729990-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Biostatistik (DE-588)4729990-3 s b DE-604 Sorensen, Helle Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020631820&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ekstrøm, Claus Thorn Sorensen, Helle Introduction to statistical data analysis for the life sciences Biowissenschaften Mathematical statistics Textbooks Life sciences Statistical methods Textbooks Biostatistik (DE-588)4729990-3 gnd |
| subject_GND | (DE-588)4729990-3 (DE-588)4123623-3 |
| title | Introduction to statistical data analysis for the life sciences |
| title_auth | Introduction to statistical data analysis for the life sciences |
| title_exact_search | Introduction to statistical data analysis for the life sciences |
| title_full | Introduction to statistical data analysis for the life sciences Claus Thorn Ekstrøm ; Helle Sørensen |
| title_fullStr | Introduction to statistical data analysis for the life sciences Claus Thorn Ekstrøm ; Helle Sørensen |
| title_full_unstemmed | Introduction to statistical data analysis for the life sciences Claus Thorn Ekstrøm ; Helle Sørensen |
| title_short | Introduction to statistical data analysis for the life sciences |
| title_sort | introduction to statistical data analysis for the life sciences |
| topic | Biowissenschaften Mathematical statistics Textbooks Life sciences Statistical methods Textbooks Biostatistik (DE-588)4729990-3 gnd |
| topic_facet | Biowissenschaften Mathematical statistics Textbooks Life sciences Statistical methods Textbooks Biostatistik Lehrbuch |
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