Statistics for biologists:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u. a.
Cambridge Univ. Pr.
1989
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 446 S. graph. Darst. |
| ISBN: | 0521360951 0521369320 |
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Datensatz im Suchindex
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| adam_text | IMAGE 1
STATISTICS
FOR BIOLOGISTS THIRD EDITION R. C.AMPBELL
FELLOW OF CHURCHILL COLLEGE, CAMBRIDGE
THE RIGHT OF IKE UNIRERSLLY OF CAMBRIDGE TO PRINT AND SELL ALL MANNER OF
BOOK,
*VS GRANTED BY HENRY VIII IN 1534. THE UNIVERSITY HAS PRINTED AND
PUBLISHED CONTINUOUSLY
SINCE ISS4.
CAMBRIDGE UNIVERSITY PRESS
CAMBRIDGE NEW YORK NEW ROCHELLE MELBOURNE SYDNEY
IMAGE 2
CONTENTS
PREFACE PAGE XV
PREFACE TO SECOND EDITION XVI
PREFACE TO THIRD EDITION XVII
1 WHAT IS STATISTICS ABOUT? 1
1.1 RANDOM VARIATION 1
1.1.1 SURVEYS AND EXPERIMENTS 2
1.2 SAMPLE AND POPULATION 3
1.2.1 SUBDIVIDING THE POPULATION 4
1.2.2 RANDOM SELECTION 5
1.3 EXPERIMENTAL DESIGN 6
1.3.1 THE IDEA OF BLOCKING 8
1.4 EXERCISES . 9
2 PRESENTING THE INFORMATION CONTAINED IN ONE SAMPLE 13
2.1 PICTORIAL PRESENTATION 13
2.1.1 HISTOGRAM 13
2.1.1(C) LET THE COMPUTER DO THE WORK 17
2.1.1.1 FREQUENCY CURVE 21
2.1.1.2 SUBGROUPS IN THE POPULATION 23
2.2 AVERAGE: MEAN 24
2.2.1 MEDIAN . 25
V
IMAGE 3
CONTENTS
2.3
2.3.1
2.4
2.4.1
2.4.1(C)
2.4.2
2.4.2(C)
2.5
2.5.1
2.5.1.1
2.6(C)
2.6.1(C) .
2.7
3
3.1 .
3.1.1
3.2
3.2.1*
3.2.2
3.2.2.1
3.2.2.2
3.2.2.3
3.3
3.3.1
3.4
VI
DISCRETE VARIABLES
RANKS
MULTIPLE MEASUREMENTS
PIE AND BAR CHARTS
USING PLOT ALL TO PREPARE PIE CHARTS
SCATTER DIAGRAMS
USING SPSS-X TO PLOT THE DIAGRAM
ESTIMATION
INTERVAL ESTIMATION
INTERVAL ESTIMATE FOR THE MEDIAN OF ONE POPULATION
WORKING WITH A COMPUTER
INPUTTING DATA AND OTHER USES OF FILES
EXERCISES
COMPARING SEVERAL SAMPLES
THE PROBLEM
PICTORIAL PRESENTATION
INTERVAL ESTIMATE FOR A DIFFERENCE OF MEDIANS
THE DISTRIBUTION OF U
SIGNIFICANCE TEST FOR A DIFFERENCE OF MEDIANS
THE MANN-WHITNEY PROCEDURE
TIES
LARGE SAMPLE TEST
MORE THAN TWO SAMPLES-THE KRUSKAL-WALLIS TEST
USING OBSERVED RANKS
THE TWO-FACTOR CASE
28
30
31
31
33
37
40
42
44
45
46
47
48
61
61
61
62
64
68
70
71
72
72
74
75
IMAGE 4
3.4.1
3.4.1.1*
3.4.1.2
3.4.2
3.5
3.5.1
3.5.1.1*
3.6
3.6.1
3.7(C)
3.8
4
4.1
4.2
4.2.1
4.2.1.1
4.2.2
4.2.3
4.2.4(C)
4.3
4.3.1
4.3.1.1
4.3.1.2*
4.3.2(C)
CONTENTS
TWO SAMPLES-WILCOXON S TEST
THE DISTRIBUTION OF T
THE SIGN TEST
MORE THAN TWO SAMPLES-FRIEDMANN S TEST
A MORE GENERAL COMPARISON OF TWO SAMPLES- THE KOLMOGOROV-SMIRNOV
TWO-SAMPLE TEST
OGIVE
DISTRIBUTION FUNCTION
ONE- OR TWO-SIDED TESTS
ONE-SIDED TESTS REQUIRE SMALLER DIFFERENCES FOR SIGNIFICANCE
* THE SPSS-X COMMAND NPAR TESTS
EXERCISES
ASSOCIATION
THE IDEA OF ASSOCIATION .
AN EXAMPLE OF A 2 X 2 CONTINGENCY TABLE
THE GENERAL 2 X2 TABLE
THE SIGNIFICANCE TEST IS SYMMETRICAL IN ROWS AND COLUMNS
THE GENERAL P X Q TABLE
CONDITIONS FOR VALIDITY OF THE TEST
CONTINGENCY TABLE TESTS USING MINITAB
ASSOCIATED MEASUREMENTS
KENDALL S COEFFICIENT OF RANK CORRELATION, T
THE INTERPRETATION OF T
THE DISTRIBUTION OF S
USING SPSS-X TO OBTAIN KENDALL S X
75
77
77
80
82
84
85
86
87
88
94
107
107
107
110
112
114
116
117
119
120
122
126
128
VLL
IMAGE 5
CONTENTS
4.4 INTERPRETING AN ASSOCIATION 129
4.5 EXERCISES 130
5 CHOOSING BETWEEN ACTIONS 136
5.1 THE PROBLEM 136
5.2 UTILITY 137
5.2.1 A POSSIBLE UTILITY-MONEY RELATIONSHIP 139
5.2.1.1 BACKING HORSES AND BUYING INSURANCE 141
5.2.2 SAVAGE S APPROACH 142
5.3 CHOOSING ACTIONS WHEN WE KNOW UTILITY 144
5.3.1 THE MINIMAX PRINCIPLE 145
5.3.2 THE BAYES ACTION 146
5.4 MAKING USE OF OBSERVATIONS 148
5.4.1 THE VALUE OF AN EXPERIMENT 152
5.5 FURTHER DEVELOPMENTS 152
5.6 EXERCISES 153
6 THE NORMAL DISTRIBUTION 156
6.1 WHY THE NORMAL IS IMPORTANT 156
6.2 PARAMETERS AND TABLES 158
6.2.1* FREQUENCY AND DISTRIBUTION FUNCTIONS 159
6.3 POINT ESTIMATES OF A SINGLE MEAN AND VARIANCE 160
6.3.1 THE MEANING OF THE TERM SUM OF SQUARES 162
6.4 INTERVAL ESTIMATE OF A SINGLE MEAN 163
6.4(C) INTERVAL ESTIMATE OF A SINGLE MEAN USING MINITAB 165
6.4.1 INTERVAL ESTIMATE OF A SINGLE VARIANCE . 166
6.5 DECISION THEORY APPROACH TO ONE-SAMPLE INFERENCE 167
VIII
IMAGE 6
CONTENTS
6.6 TWO-SAMPLE COMPARISONS 171
6.6.1 DIFFERENCE OF MEANS WITH EQUAL POPULATION VARIANCES 171
6.6.1.1 TWO-SAMPLE F-TEST 176
6.6.1.2(C) THE TWO-SAMPLE COMPARISON USING MINITAB OR SPSS-X 177
6.6.2 DIFFERENCE OF MEANS WITH UNEQUAL POPULATION
6.6.2.1*
6.6.3
6.6.3(C)
6.6.4
6.7
VARIANCES FIDUCIAL PROBABILITY
PAIRED SAMPLE T-TEST
THE PAIRED-SAMPLE COMPARISON USING MINITAB OR SPSS-X
COMPARING TWO VARIANCES
EXERCISES
179
182
183
185 188 189
7 THE NORMAL VARIABLE IN EXPERIMENTS AND SURVEYS 199
7.1 THE ANALYSIS OF VARIANCE 199
7.2 SINGLE-FACTOR ANOVAR 200
7.2.1 GENERAL FORMULAE 208
7.2.2 THE MODEL 211
7.2.2.1 THE COMPARISON OF TWO LEVELS 213
7.2.2.2* TWO ALGEBRAIC PROOFS 214
7.2.2.3 THE GENERAL COMPARISON WITH ONE DEGREE OF FREEDOM 215
7.2.2.4 COMPARISONS WITH MORE THAN ONE DEGREE OF FREEDOM 218
7.2.2.5 SELECTED COMPARISONS MAY NOT BE VALID 218
7.2.3 CHECKING ON THE ASSUMPTIONS 220
IX
IMAGE 7
CONTENTS
7.2.3.1 THE KOLMOGOROV-SMIRNOV ONE-SAMPLE TEST 222
7.2.3.2 BARTLETT S TEST 224
7.2.4(C) SINGLE-FACTOR ANOVAR USING GENSTAT 227
7.3 TWO-FACTOR ANOVAR 240
7.3.1 THE MODEL 243
7.3.2 RESIDUAL AND INTERACTION 248
7.3.2(C) TWO-FACTOR ANOVAR USING GENSTAT 252
7.3.2.1* TWO ALGEBRAIC PROOFS 256
7.3.3 COMBINING TWO-FACTOR ANALYSES 257
7.3.3(C) TWO FURTHER EXAMPLES OF ANOVAR IN GENSTAT 271
7.4 SURVEYS 281
7.4.1 SIMPLE RANDOM SAMPLE 282
7.4.2 STRATIFIED SAMPLE 283
7.4.3 TWO-STAGE SAMPLE 284
7.5 EXERCISES 285
8 ASSOCIATED NORMAL VARIABLES 316
8.1 CORRELATION AND REGRESSION 316
8.2 COVARIANCE 316
8.2.1 PRODUCT-MOMENT CORRELATION 317
8.3 LINEAR REGRESSION 320
8.3.1* RESIDUAL VARIANCE 324
8.3.2 REGRESSION ANOVAR 326
8.3.3 THE MODEL 327
8.3.4 THE CONNECTION BETWEEN CORRELATION AND REGRESSION 329
8.3.5(C) LINEAR REGRESSION CALCULATIONS USING MINITAB, SPSS-X OR GENSTAT
330
IMAGE 8
CONTENTS
8.4 ACCURACY OF PREDICTION FROM LINEAR REGRESSION 339
8.4.1* THE DERIVATION OF TWO VARIANCES 343
8.5 EXERCISES 343
9 SOME NON-NORMAL DISTRIBUTIONS 351
9.1 NON-NORMAL DISTRIBUTIONS 351
9.2 THE BINOMIAL AND POISSON FAMILIES 351
9.2.1 THE BINOMIAL DISTRIBUTION 353
9.2.1.1* FORMULAE RELATING TO THE BINOMIAL DISTRIBUTION 357
9.2.2 THE POISSON DISTRIBUTION 360
9.2.2.1* FORMULAE RELATING TO THE POISSON DISTRIBUTION 364
9.2.3 LARGE SAMPLE FORMS 366
9.3 ESTIMATION AND SIGNIFICANCE TESTING 367
9.3.1 ESTIMATING P FOR A BINOMIAL DISTRIBUTION 367
9.3.2 ESTIMATING THE MEAN OF A POISSON DISTRIBUTION 368
9.3.3 TWO BINOMIAL SAMPLES 368
9.3.4 TWO POISSON SAMPLES 369
9.3.5 MORE THAN TWO SAMPLES 370
9.3.5.1 AN EXAMPLE OF THE COMPARISON OF BINOMIAL
DISTRIBUTIONS . 371
9.4 TRANSFORMATIONS 372
9.4.1 THE ANGULAR TRANSFORMATION * 374
9.4. L(C) WEIGHTED ANOVAR IN GENSTAT 378
9.4.2 THE SQUARE ROOT TRANSFORMATION 380
9.4.3 THE PROBIT TRANSFORMATION 381
9.4.4 THE EFFECT OF TRANSFORMATIONS ON INTERACTIONS 381
9.5 THE MULTINOMIAL DISTRIBUTION 383
XI
IMAGE 9
CONTENTS
9.5.1 AN EXAMPLE OF A TEST OF GOODNESS OF FIT 384
9.6 EXERCISES 385
FURTHER R E A D I NG 4 00
REFERENCES 4 01
A P P E N D I X: TABLES A ND FIGURES FOR STATISTICAL TESTS A ND
EXERCISES 4 03
THESE TABLES HAVE MOSTLY BEEN ADAPTED FROM THOSE ALREADY AVAILABLE IN
THE STATISTICAL LITERATURE, AND I AM MOST GRATEFUL TO THE AUTHORS AND
PUBLISHERS OF THE FOLLOWING WORKS FOR THEIR PERMISSION TO USE THEIR
MATERIAL.
SIEGEL (1956) TABLES 3, 4, 6, 7, 8, 9 AND 17; LINDLEY AND SCOTT (1984)
1, 5, 11, 13,15 AND 16; FISHER AND YATES (1974) 12, 14, 18, AND 21;
KENDALL (1970) 10; NAIR (1940) 2; PEARSON AND HARTLEY (1958) 19, 20 AND
FIG. AL.
I HAVE GIVEN NO MATHEMATICAL DEFINITIONS NOR ANY GUIDANCE AS TO METHODS
OF INTERPOLATION; THESE MATTERS ARE IMPORTANT, BUT ARE OUT OF PLACE IN
AN ELEMENTARY BOOK. THEY ARE WELL DISCUSSED IN THE LARGER SETS OF TABLES
REFERRED TO ABOVE.
AL A2
A3
A4
A5
A6
A7
A8
A9
A10
XII
RANDOM DIGITS CONFIDENCE LIMITS FOR THE MEDIAN OF ONE POPULATION
WILCOXON STATISTIC, U
KRUSKAL-WALLIS STATISTIC, H
X 2 (SINGLE-TAILED)
WILCOXON SIGNED-RANK STATISTIC, T
SIGN-TEST STATISTIC, R
FRIEDMANN STATISTIC, 5
KOLMOGOROV-SMIRNOV TWO-SAMPLE TEST
KENDALL S RANK CORRELATION STATISTIC
403
405
407
408
410
411
412
413
414
415
IMAGE 10
CONTENTS
ALL NORMAL DISTRIBUTION 416
A12 STUDENT S T 417
A13 X 2 (TWO-TAILED) 419
A14 FISHER-BEHRENS D 420
A15 F (TWO-TAILED) 421
A16 F (SINGLE-TAILED) 422
A17 KOLMOGOROV-SMIRNOV ONE-SAMPLE TEST 425
A18 PRODUCT-MOMENT CORRELATION 426
A19 CONFIDENCE LIMITS FOR ONE POISSON MEAN 427
A20 SIGNIFICANCE OF THE DIFFERENCE BETWEEN TWO
POISSON MEANS 428
A21 ANGULAR TRANSFORMATION 429
A22 RANDOM OBSERVATIONS FROM A NORMAL
DISTRIBUTION 430
A23 OBSERVATIONS IN EXERCISE 7.5(21) 434
FIG. AL CONFIDENCE LIMITS FOR ONE BINOMIAL P 437
FIG. A2 ESTIMATES FOR THE MEDIAN FROM 100 SAMPLES 439
INDEX 441
X L LL
|
| any_adam_object | 1 |
| author | Campbell, Richard Colin |
| author_facet | Campbell, Richard Colin |
| author_role | aut |
| author_sort | Campbell, Richard Colin |
| author_variant | r c c rc rcc |
| building | Verbundindex |
| bvnumber | BV006072160 |
| callnumber-first | Q - Science |
| callnumber-label | QH323 |
| callnumber-raw | QH323.5 |
| callnumber-search | QH323.5 |
| callnumber-sort | QH 3323.5 |
| callnumber-subject | QH - Natural History and Biology |
| classification_rvk | WC 7000 WC 7700 |
| ctrlnum | (OCoLC)17731035 (DE-599)BVBBV006072160 |
| dewey-full | 519.5/024574 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/024574 |
| dewey-search | 519.5/024574 |
| dewey-sort | 3519.5 524574 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV006072160 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:39:46Z |
| institution | BVB |
| isbn | 0521360951 0521369320 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003831291 |
| oclc_num | 17731035 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-83 |
| owner_facet | DE-703 DE-20 DE-83 |
| physical | XVIII, 446 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Cambridge Univ. Pr. |
| record_format | marc |
| spelling | Campbell, Richard Colin Verfasser aut Statistics for biologists R. C. Campbell 3. ed. Cambridge u. a. Cambridge Univ. Pr. 1989 XVIII, 446 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biometria E Biotipologia larpcal Biométrie Biometry Biostatistik (DE-588)4729990-3 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Medizinische Statistik (DE-588)4127563-9 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Biomathematik (DE-588)4139408-2 s DE-604 Biostatistik (DE-588)4729990-3 s Methode (DE-588)4038971-6 s 1\p DE-604 Medizinische Statistik (DE-588)4127563-9 s 2\p DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003831291&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Campbell, Richard Colin Statistics for biologists Biometria E Biotipologia larpcal Biométrie Biometry Biostatistik (DE-588)4729990-3 gnd Biomathematik (DE-588)4139408-2 gnd Medizinische Statistik (DE-588)4127563-9 gnd Methode (DE-588)4038971-6 gnd |
| subject_GND | (DE-588)4729990-3 (DE-588)4139408-2 (DE-588)4127563-9 (DE-588)4038971-6 |
| title | Statistics for biologists |
| title_auth | Statistics for biologists |
| title_exact_search | Statistics for biologists |
| title_full | Statistics for biologists R. C. Campbell |
| title_fullStr | Statistics for biologists R. C. Campbell |
| title_full_unstemmed | Statistics for biologists R. C. Campbell |
| title_short | Statistics for biologists |
| title_sort | statistics for biologists |
| topic | Biometria E Biotipologia larpcal Biométrie Biometry Biostatistik (DE-588)4729990-3 gnd Biomathematik (DE-588)4139408-2 gnd Medizinische Statistik (DE-588)4127563-9 gnd Methode (DE-588)4038971-6 gnd |
| topic_facet | Biometria E Biotipologia Biométrie Biometry Biostatistik Biomathematik Medizinische Statistik Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003831291&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT campbellrichardcolin statisticsforbiologists |