Nonparametrics: statistical methods based on ranks
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2006
|
| Ausgabe: | Rev. 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVI, 463 S. Ill., graph. Darst. |
| ISBN: | 0387352120 9780387352121 |
Internformat
MARC
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| 100 | 1 | |a Lehmann, Erich L. |d 1917-2009 |e Verfasser |0 (DE-588)120765241 |4 aut | |
| 245 | 1 | 0 | |a Nonparametrics |b statistical methods based on ranks |c Erich L. Lehmann. With the special assistance of H. J. M. D'Abrera |
| 250 | |a Rev. 1. ed. | ||
| 264 | 1 | |a New York, NY |b Springer |c 2006 | |
| 300 | |a XVI, 463 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Nichtparametrische Statistik | |
| 650 | 4 | |a Statistik - Nichtparametrisches Verfahren | |
| 650 | 4 | |a Nonparametric statistics | |
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Datensatz im Suchindex
| _version_ | 1804136513014857729 |
|---|---|
| adam_text | CONTENTS
1 RANK TESTS
FOR COMPARING TWO TREATMENTS
1
1.
Ranks in the comparison of two treatments,
1
2.
The Wilcoxon rank-sum test,
5
3.
Asymptotic null distribution of the Wilcoxon statistic,
13
4.
The treatment of ties,
18
5.
Two-sided alternatives,
23
6.
The Siegel-Tukey and Smirnov tests,
32
7.
Further developments,
40
Other approximations to the distribution of Ws
;
Censored observations; Early termination; Power;
Permutation tests.
8.
Problems,
43
9.
References,
52
2
COMPARING TWO TREATMENTS OR ATTRIBUTES IN A
POPULATION MODEL
55
1.
Population models,
55
2.
Power of the Wilcoxon rank-sum test,
65
3.
Asymptotic power,
69
4.
Comparison with Student s
Mest,
76
5.
Estimating the treatment effect,
81
6.
Confidence procedures,
91
7.
Further developments,
95
The Behrens-Fisher problem; The Normal Scores test;
Increasing the number of levels to improve sensitivity; Small-
sample power; Large-sample power and efficiency; Efficiency
in the presence of ties; Optimality properties; Additional
properties of
Δ;
Efficiency of the Siegel-Tukey test; The scale
tests of Capon and
Klotz;
The Savage (or exponential scores)
test; Scale tests with unknown location; Power and efficiency
of the Smirnov test; Sequential rank tests; The permutation
f-test.
8.
Problems,
106
9.
References,
114
BLOCKED COMPARISONS FOR TWO TREATMENTS
120
1.
The sign test for paired comparisons,
120
2:
The Wilcoxon signed-rank test,
123
3.
Combining data from several experiments or blocks,
132
4.
A balanced design for paired comparisons,
141
5.
Further developments,
143
Power of the sign and Wilcoxon tests; Alternative treatment
of zeros; Tests against omnibus alternatives; Efficiency and
generalizations of the blocked comparisons test Ws.
6.
Problems,
146
7.
References,
153
PAIRED COMPARISONS IN A POPULATION MODEL AND
THE ONE-SAMPLE PROBLEM
156
1.
Power and uses of the sign test,
156
2.
Power of the signed-rank Wilcoxon test,
164
3.
Comparison of sign, Wilcoxon, and
i-tests,
171
4.
Estimation of a location parameter or treatment effect,
175
5.
Confidence procedures,
181
6.
Further developments,
185
Power and efficiency of the sign test; The absolute Normal
Scores test; Power and efficiency of the Wilcoxon and absolute
Normal Scores test; Tests of symmetry; A generalized set of
confidence points; Bounded-length sequential confidence
intervals for
Θ;
Robust estimation; Some optimum properties
of tests and estimators; Departures from assumption.
7.
Problems,
191
8.
References,
199
THE COMPARISON OF MORE THAN TWO TREATMENTS
202
1.
Ranks in the comparison of several treatments,
202
2.
The Kruskal-Wallis test,
204
3. 2
x í
Contingency tables,
210
4.
Population models,
219
5.
One-sided procedures,
226
Comparing several treatments with a control; Testing equality
against ordered alternatives.
6.
Selection and ranking procedures,
238
Ranking several treatments; Selecting the best of several
treatments.
7.
Further developments,
247
Power and efficiency; Estimation of several differences in
location; The estimation of contrasts; Normal Scores and
Smirnov tests for the s-sample problem.
8. Problems, 250
9.
References,
257
6
RANDOMIZED COMPLETE BLOCKS
260
1.
Ranks in randomized complete blocks,
260
2.
The tests of Friedman, Cochran, and McNemar,
262
3.
Aligned ranks,
270
4.
Population models and efficiency,
273
5.
Further developments,
279
More general blocks; One-sided tests and ranking procedures;
Estimation of treatment differences and other contrasts;
Combination of independent tests.
6.
Problems,
281
7.
References,
285
7
TESTS OF RANDOMNESS AND INDEPENDENCE
287
1.
The hypothesis of randomness,
287
2.
Testing against trend,
290
3.
Testing for independence,
297
4.
sxt Contingency tables,
303
5.
Further developments,
311
Pitman efficiency of D; Estimating the regression coefficient
/?;
Tests of randomness based on runs; Other tests of
independence; Power and efficiency of tests of independence;
Contingency tables.
6.
Problems,
317
7.
References,
322
APPENDIX
327
1.
Expectation and variance formulas,
327
2.
Some standard distributions,
339
The binomial distribution; The hypergeometric distribution;
The normal distribution; The Cauchy, logistic, and
double-exponential distributions; The rectangular (uniform)
and exponential distributions; The ^-distribution
;
Order
statistics.
3.
Convergence in probability and in law,
345
4.
Sampling from a finite population,
352
5.
U-statistics,
362
6.
Pitman efficiency,
371
7.
Some multivariate distributions,
380
The multinomial distribution; The multiple hypergeometric
distribution; The multivariate normal distribution.
Xïï
CONTENTS
8.
Convergence
of random vectors,
386
9.
Problems,
396
10.
References,
405
EPILOGUE
407
TABLES
413
A Number of combinations of
N
things taken
и
at a time,
413
В
Wilcoxon rank-sum distribution,
414
С
Area under the normal curve,
417
D
Square roots,
418
E
Smirnov Exact upper-tail probabilities,
419
F
Smirnov limiting distribution,
421
G
Distribution of sign-test statistics,
422
H
Wilcoxon signed-rank distribution,
424
I Kruskal-
Wallis
upper-tail probabilities,
428
J(a)
χ
2 upper-tail probabilities for
ν
= 2,3,4,5
degrees of freedom,
433
J(b) Critical values
с
of
χ
2 with
ν
= 6(1)40(5)100
degrees of freedom,
434
К
Upper-tail probabilities of Jonckheere s statistic,
435
L
Amalgamation probabilities for Chacko s test,
436
M
Upper-tail probabilities of Friedman s statistic,
437
N
Distribution of Spearman s statistic,
439
ACKNOWLEDGMENTS FOR TABLES,
440
ANSWERS TO SELECTED PROBLEMS,
441
DATA GUIDE (TITLES FOR DATA PRESENTED IN THE TEXT),
451
AUTHOR INDEX,
453
SUBJECT INDEX,
457
|
| adam_txt |
CONTENTS
1 RANK TESTS
FOR COMPARING TWO TREATMENTS
1
1.
Ranks in the comparison of two treatments,
1
2.
The Wilcoxon rank-sum test,
5
3.
Asymptotic null distribution of the Wilcoxon statistic,
13
4.
The treatment of ties,
18
5.
Two-sided alternatives,
23
6.
The Siegel-Tukey and Smirnov tests,
32
7.
Further developments,
40
Other approximations to the distribution of Ws
;
Censored observations; Early termination; Power;
Permutation tests.
8.
Problems,
43
9.
References,
52
2
COMPARING TWO TREATMENTS OR ATTRIBUTES IN A
POPULATION MODEL
55
1.
Population models,
55
2.
Power of the Wilcoxon rank-sum test,
65
3.
Asymptotic power,
69
4.
Comparison with Student's
Mest,
76
5.
Estimating the treatment effect,
81
6.
Confidence procedures,
91
7.
Further developments,
95
The Behrens-Fisher problem; The Normal Scores test;
Increasing the number of levels to improve sensitivity; Small-
sample power; Large-sample power and efficiency; Efficiency
in the presence of ties; Optimality properties; Additional
properties of
Δ;
Efficiency of the Siegel-Tukey test; The scale
tests of Capon and
Klotz;
The Savage (or exponential scores)
test; Scale tests with unknown location; Power and efficiency
of the Smirnov test; Sequential rank tests; The permutation
f-test.
8.
Problems,
106
9.
References,
114
BLOCKED COMPARISONS FOR TWO TREATMENTS
120
1.
The sign test for paired comparisons,
120
2:
The Wilcoxon signed-rank test,
123
3.
Combining data from several experiments or blocks,
132
4.
A balanced design for paired comparisons,
141
5.
Further developments,
143
Power of the sign and Wilcoxon tests; Alternative treatment
of zeros; Tests against omnibus alternatives; Efficiency and
generalizations of the blocked comparisons test Ws.
6.
Problems,
146
7.
References,
153
PAIRED COMPARISONS IN A POPULATION MODEL AND
THE ONE-SAMPLE PROBLEM
156
1.
Power and uses of the sign test,
156
2.
Power of the signed-rank Wilcoxon test,
164
3.
Comparison of sign, Wilcoxon, and
i-tests,
171
4.
Estimation of a location parameter or treatment effect,
175
5.
Confidence procedures,
181
6.
Further developments,
185
Power and efficiency of the sign test; The absolute Normal
Scores test; Power and efficiency of the Wilcoxon and absolute
Normal Scores test; Tests of symmetry; A generalized set of
confidence points; Bounded-length sequential confidence
intervals for
Θ;
Robust estimation; Some optimum properties
of tests and estimators; Departures from assumption.
7.
Problems,
191
8.
References,
199
THE COMPARISON OF MORE THAN TWO TREATMENTS
202
1.
Ranks in the comparison of several treatments,
202
2.
The Kruskal-Wallis test,
204
3. 2
x í
Contingency tables,
210
4.
Population models,
219
5.
One-sided procedures,
226
Comparing several treatments with a control; Testing equality
against ordered alternatives.
6.
Selection and ranking procedures,
238
Ranking several treatments; Selecting the best of several
treatments.
7.
Further developments,
247
Power and efficiency; Estimation of several differences in
location; The estimation of contrasts; Normal Scores and
Smirnov tests for the s-sample problem.
8. Problems, 250
9.
References,
257
6
RANDOMIZED COMPLETE BLOCKS
260
1.
Ranks in randomized complete blocks,
260
2.
The tests of Friedman, Cochran, and McNemar,
262
3.
Aligned ranks,
270
4.
Population models and efficiency,
273
5.
Further developments,
279
More general blocks; One-sided tests and ranking procedures;
Estimation of treatment differences and other contrasts;
Combination of independent tests.
6.
Problems,
281
7.
References,
285
7
TESTS OF RANDOMNESS AND INDEPENDENCE
287
1.
The hypothesis of randomness,
287
2.
Testing against trend,
290
3.
Testing for independence,
297
4.
sxt Contingency tables,
303
5.
Further developments,
311
Pitman efficiency of D; Estimating the regression coefficient
/?;
Tests of randomness based on runs; Other tests of
independence; Power and efficiency of tests of independence;
Contingency tables.
6.
Problems,
317
7.
References,
322
APPENDIX
327
1.
Expectation and variance formulas,
327
2.
Some standard distributions,
339
The binomial distribution; The hypergeometric distribution;
The normal distribution; The Cauchy, logistic, and
double-exponential distributions; The rectangular (uniform)
and exponential distributions; The ^-distribution
;
Order
statistics.
3.
Convergence in probability and in law,
345
4.
Sampling from a finite population,
352
5.
U-statistics,
362
6.
Pitman efficiency,
371
7.
Some multivariate distributions,
380
The multinomial distribution; The multiple hypergeometric
distribution; The multivariate normal distribution.
Xïï
CONTENTS
8.
Convergence
of random vectors,
386
9.
Problems,
396
10.
References,
405
EPILOGUE
407
TABLES
413
A Number of combinations of
N
things taken
и
at a time,
413
В
Wilcoxon rank-sum distribution,
414
С
Area under the normal curve,
417
D
Square roots,
418
E
Smirnov Exact upper-tail probabilities,
419
F
Smirnov limiting distribution,
421
G
Distribution of sign-test statistics,
422
H
Wilcoxon signed-rank distribution,
424
I Kruskal-
Wallis
upper-tail probabilities,
428
J(a)
χ
2 upper-tail probabilities for
ν
= 2,3,4,5
degrees of freedom,
433
J(b) Critical values
с
of
χ
2 with
ν
= 6(1)40(5)100
degrees of freedom,
434
К
Upper-tail probabilities of Jonckheere's statistic,
435
L
Amalgamation probabilities for Chacko's test,
436
M
Upper-tail probabilities of Friedman's statistic,
437
N
Distribution of Spearman's statistic,
439
ACKNOWLEDGMENTS FOR TABLES,
440
ANSWERS TO SELECTED PROBLEMS,
441
DATA GUIDE (TITLES FOR DATA PRESENTED IN THE TEXT),
451
AUTHOR INDEX,
453
SUBJECT INDEX,
457 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Lehmann, Erich L. 1917-2009 |
| author_GND | (DE-588)120765241 |
| author_facet | Lehmann, Erich L. 1917-2009 |
| author_role | aut |
| author_sort | Lehmann, Erich L. 1917-2009 |
| author_variant | e l l el ell |
| building | Verbundindex |
| bvnumber | BV022437795 |
| callnumber-first | Q - Science |
| callnumber-label | QA278 |
| callnumber-raw | QA278.8 |
| callnumber-search | QA278.8 |
| callnumber-sort | QA 3278.8 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | CM 4000 QH 230 SK 850 |
| ctrlnum | (OCoLC)255483032 (DE-599)BSZ256977224 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Maschinenbau / Maschinenwesen Psychologie Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Maschinenbau / Maschinenwesen Psychologie Mathematik Wirtschaftswissenschaften |
| edition | Rev. 1. ed. |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:31:35Z |
| indexdate | 2024-07-09T20:57:35Z |
| institution | BVB |
| isbn | 0387352120 9780387352121 |
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| physical | XVI, 463 S. Ill., graph. Darst. |
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| spelling | Lehmann, Erich L. 1917-2009 Verfasser (DE-588)120765241 aut Nonparametrics statistical methods based on ranks Erich L. Lehmann. With the special assistance of H. J. M. D'Abrera Rev. 1. ed. New York, NY Springer 2006 XVI, 463 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nichtparametrische Statistik Statistik - Nichtparametrisches Verfahren Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd rswk-swf Nichtparametrisches Verfahren (DE-588)4339273-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Nichtparametrische Statistik (DE-588)4226777-8 s DE-604 Statistik (DE-588)4056995-0 s Nichtparametrisches Verfahren (DE-588)4339273-8 s text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2815658&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2815658&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015645896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lehmann, Erich L. 1917-2009 Nonparametrics statistical methods based on ranks Nichtparametrische Statistik Statistik - Nichtparametrisches Verfahren Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd Nichtparametrisches Verfahren (DE-588)4339273-8 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4226777-8 (DE-588)4339273-8 (DE-588)4056995-0 |
| title | Nonparametrics statistical methods based on ranks |
| title_auth | Nonparametrics statistical methods based on ranks |
| title_exact_search | Nonparametrics statistical methods based on ranks |
| title_exact_search_txtP | Nonparametrics statistical methods based on ranks |
| title_full | Nonparametrics statistical methods based on ranks Erich L. Lehmann. With the special assistance of H. J. M. D'Abrera |
| title_fullStr | Nonparametrics statistical methods based on ranks Erich L. Lehmann. With the special assistance of H. J. M. D'Abrera |
| title_full_unstemmed | Nonparametrics statistical methods based on ranks Erich L. Lehmann. With the special assistance of H. J. M. D'Abrera |
| title_short | Nonparametrics |
| title_sort | nonparametrics statistical methods based on ranks |
| title_sub | statistical methods based on ranks |
| topic | Nichtparametrische Statistik Statistik - Nichtparametrisches Verfahren Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd Nichtparametrisches Verfahren (DE-588)4339273-8 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Nichtparametrische Statistik Statistik - Nichtparametrisches Verfahren Nonparametric statistics Nichtparametrisches Verfahren Statistik |
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