Testing statistical hypotheses of equivalence:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2003
|
| Schlagworte: | |
| Online-Zugang: | Table of contents Inhaltsverzeichnis |
| Beschreibung: | XV, 284 S. graph. Darst. |
| ISBN: | 1584881607 |
Internformat
MARC
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| 100 | 1 | |a Wellek, Stefan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Testing statistical hypotheses of equivalence |c Stefan Wellek |
| 264 | 1 | |a Boca Raton [u.a.] |b Chapman & Hall/CRC |c 2003 | |
| 300 | |a XV, 284 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Equivalentie |2 gtt | |
| 650 | 7 | |a Hypothesetoetsing |2 gtt | |
| 650 | 4 | |a Tests d'hypothèses (Statistique) | |
| 650 | 4 | |a Statistical hypothesis testing | |
| 650 | 0 | 7 | |a Statistischer Test |0 (DE-588)4077852-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Äquivalenz |0 (DE-588)4141497-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Statistischer Test |0 (DE-588)4077852-6 |D s |
| 689 | 0 | 1 | |a Äquivalenz |0 (DE-588)4141497-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/fy036/2002031307.html |3 Table of contents | |
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Datensatz im Suchindex
| _version_ | 1804129214595596288 |
|---|---|
| adam_text | Contents
Preface
χι
1
Introduction
1
1.1 Demonstration
of equivalence as a basic problem of applied
statistics
1
1.2
Formalization of the statistical notion of equivalence
4
1.3
Major fields of application of equivalence tests
б
1.4
Choosing the main distributional parameter
8
1.5
Numerical specification of the limits of equivalence
11
2
Methods for one-sided equivalence problems
15
2.1
Objective of a one-sided equivalence trial and formulation
of hypotheses
15
2.2
Standard solution for location parameter families
16
2.3
Exact two-sample tests for binomial distributions
21
3
General approaches to the construction of tests for equiv¬
alence in the strict sense
29
3.1
The principle of confidence interval inclusion
29
3.2
Bayesian tests for equivalence
32
3.3
The classical approach to deriving optimal parametric tests
for equivalence hypotheses
37
3.4
Construction of asymptotic tests for equivalence
42
4
Equivalence tests for selected one-parameter problems
45
4.1
The one-sample problem with normally distributed obser¬
vations of known variance
45
4.2
Test for equivalence of a hazard rate to some given reference
value with exponentially distributed survival times
51
4.3
Testing for equivalence of a single binomial proportion to a
fixed reference success probability
55
4.4
Confidence-interval inclusion rules as asymptotically UMP
tests for equivalence
60
CONTENTS
Equivalence tests for designs with paired observations
65
5.1
Sign test for equivalence
65
5.2
Equivalence tests for the McNemar setting
69
5.3
Paired t-test for equivalence
77
5.4
Signed rank test for equivalence
82
5.5
A generalization of the signed rank test for equivalence for
noncontinuous data
90
Equivalence tests for two unrelated samples
101
6.1
Two-sample t-test for equivalence
101
6.2
Mann-Whitney test for equivalence
106
6.3
A distribution-free two-sample equivalence test allowing for
arbitrary patterns of ties
114
6.4
Testing for dispersion equivalence of two Gaussian distribu¬
tions
126
6.5
Equivalence tests for two binomial samples
132
6.6
Log-rank test for equivalence of two survivor functions
147
Multisample tests for equivalence
161
7.1
The intersection-union principle as a general solution to
multisample equivalence problems
161
7.2
F-test for equivalence of
к
normal distributions
163
7.3
Modified studentized range test for equivalence
167
7.4
Testing for dispersion equivalence of more than two Gaussian
distributions
169
7.5
A nonparametric k-sample test for equivalence
172
Tests for establishing goodness of fit
177
8.1
Testing for equivalence of a single multinomial distribution
with a fully specified reference distribution
177
8.2
Testing for approximate collapsibility of multiway contin¬
gency tables
182
8.3
Establishing goodness of fit of linear models for normally
distributed data
190
The assessment of bioequivalence
205
9.1
Introduction
205
9.2
Methods of testing for average bioequivalence
209
9.3
Individual bioequivalence: criteria and testing procedures
220
9.4
Approaches to defining and establishing population bio¬
equivalence
234
9.5
Bioequivalence assessment as a problem of comparing
bivariate distributions
242
CONTENTS ix
Appendix A Basic theoretical results
249
A.I UMP Tests for equivalence problems in STP3 families
249
A.2 UMPU equivalence tests in multiparameter exponential
families
255
A.3 A sufficient condition for the asymptotic validity of tests for
equivalence
256
Appendix
В
List of special computer programs
259
Appendix
С
Frequently used special symbols and abbrevi¬
ations
263
References
267
Author index
275
Subject index
278
|
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| dewey-full | 519.5/6 519.5/621 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.5/6 519.5/6 21 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014316232 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:01:35Z |
| institution | BVB |
| isbn | 1584881607 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009821676 |
| oclc_num | 50441535 |
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| physical | XV, 284 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| spelling | Wellek, Stefan Verfasser aut Testing statistical hypotheses of equivalence Stefan Wellek Boca Raton [u.a.] Chapman & Hall/CRC 2003 XV, 284 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Equivalentie gtt Hypothesetoetsing gtt Tests d'hypothèses (Statistique) Statistical hypothesis testing Statistischer Test (DE-588)4077852-6 gnd rswk-swf Äquivalenz (DE-588)4141497-4 gnd rswk-swf Statistischer Test (DE-588)4077852-6 s Äquivalenz (DE-588)4141497-4 s DE-604 http://www.loc.gov/catdir/toc/fy036/2002031307.html Table of contents Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009821676&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wellek, Stefan Testing statistical hypotheses of equivalence Equivalentie gtt Hypothesetoetsing gtt Tests d'hypothèses (Statistique) Statistical hypothesis testing Statistischer Test (DE-588)4077852-6 gnd Äquivalenz (DE-588)4141497-4 gnd |
| subject_GND | (DE-588)4077852-6 (DE-588)4141497-4 |
| title | Testing statistical hypotheses of equivalence |
| title_auth | Testing statistical hypotheses of equivalence |
| title_exact_search | Testing statistical hypotheses of equivalence |
| title_full | Testing statistical hypotheses of equivalence Stefan Wellek |
| title_fullStr | Testing statistical hypotheses of equivalence Stefan Wellek |
| title_full_unstemmed | Testing statistical hypotheses of equivalence Stefan Wellek |
| title_short | Testing statistical hypotheses of equivalence |
| title_sort | testing statistical hypotheses of equivalence |
| topic | Equivalentie gtt Hypothesetoetsing gtt Tests d'hypothèses (Statistique) Statistical hypothesis testing Statistischer Test (DE-588)4077852-6 gnd Äquivalenz (DE-588)4141497-4 gnd |
| topic_facet | Equivalentie Hypothesetoetsing Tests d'hypothèses (Statistique) Statistical hypothesis testing Statistischer Test Äquivalenz |
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