Probit analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Univ. Press
1971
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 333 S. graph. Darst. |
| ISBN: | 052108041X |
Staff View
MARC
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| 100 | 1 | |a Finney, David J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Probit analysis |c D. J. Finney |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Cambridge |b Univ. Press |c 1971 | |
| 300 | |a XV, 333 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Statistics |2 cabt | |
| 650 | 7 | |a Statistical Methods |2 cabt | |
| 650 | 4 | |a Biomathématiques | |
| 650 | 4 | |a Estimation, Théorie de l' | |
| 650 | 7 | |a Probits |2 gtt | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Biomathematics | |
| 650 | 4 | |a Estimation theory | |
| 650 | 4 | |a Probits | |
| 650 | 4 | |a Statistics as Topic | |
| 650 | 0 | 7 | |a Probit-Analyse |0 (DE-588)4175770-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Biostatistik |0 (DE-588)4729990-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Probit-Analyse |0 (DE-588)4175770-1 |D s |
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Record in the Search Index
| _version_ | 1804115375707652096 |
|---|---|
| adam_text | Published by the Syndics of the Cambridge University Press
Bentley House, 200 Euston Road, London N W 1
American Branch: 32 East 57th Street, New York, N Y 10022
Third edition © Cambridge University Press 1971
Library of Congress Catalogue Card Number: 78-134618
ISBN: 0 521 08041 X
First edition 1947
Second edition 1952
Reprinted 1962
Third edition 1971
Printed in Great Britain
at the University Printing House, Cambridge
(Brooke Crutchley, University Printer)
Contents
List of examples page viii
Prefaces xi
1 INTRODUCTORY
1 1 The quantal problem 1
1 2 Biological assay 2
1 3 Purpose of this book 4
1 4 Statistical methods for the biologist 6
QUANTAL RESPONSES AND THE DOSE-RESPONSE
CURVE
2 1 The frequency distribution of tolerance 8
2 2 The dose metameter 11
2 3 Parameters 13
2 4 Direct measurement of tolerance 13
2 5 The binomial distribution 15
2 6 The median effective dose 17
3 ESTIMATION OF THE MEDIAN EFFECTIVE
DOSE
3 1 The occurrence of quantal responses 19
3 2 The NED and probit transformation 22
3 3 The probit regression line 25
3 4 Precision of estimates 33
3 5 Fiducial probability 37
3 6 History of the probit method 38
3 7 Various approximations 42
3 8 Other tranformations 47
MAXIMUM LIKELIHOOD ESTIMATION
4 1 Principles of estimation 50
4 2 The iterative method 52
4 3 Working probits 57
4 4 Regression calculations 59
4 5 Goodness of fit and precision 66
4 6 Heterogeneity 70
4 7 Fiducial limits 76
[ v]
vi Contents
5 COMPUTER AND OTHER TECHNIQUES
5 1 The computer program page 81
fest 5 2 Input of data 82
dinl 5 3 Steering instructions 83
Re amp;54 The maximization routine 83
4n55 The log-likelihood function 85
ia56 The parameterization 86lqc
on
of
mo
ter
5 7 Output 87
5 8 Results by computer 89
5 9 Other computational techniques 90
5 10 Comparison of probits and logits 97
, n 6 THE COMPARISON OF EFFECTIVENESS
(es 6 1 Relative potency 100
cor 6 2 Numerical calculation of relative potencies 103
ts 6 3 Combination and comparison of relative
( potencies 109
is 6 4 When approximations fail 117
ts 6 5 Unequal tolerance variances 121
t66 Illustration of computer output 122
th
na 7
ADJUSTMENTS FOR NATURAL
RESPONSIVENESS
xp 7 1 ‘Abbott’s formula’ 125
ei 7 2 Approximate estimation of parameters 126
en 7 3 Estimation by maximum likelihood 128
e !
ali
7 4 Analysis by generalized computer program 138
OUj 8 EXPERIMENTAL DESIGN
081 Planning for precision 141
ns 8 2 Precision of assays 145
ai 8 3 The design of experiments 147
is 8 4 Factorial design 152
ri( 8 5 Qualitative factors 155
lc 8 6 Probit planes 160
te 8 7 Ostwald’s equation 169
of 8 8 Extensions to several factors and interactions 170
Ü 8 9 Variances and fiducial limits 173
yß 9 EXTENSIONS OF THE STANDARD MODELr
___i 9 1 Variation between batches 175rej
a
ct
oi
9 2 Randomization 178
o:
Contents vii
9 3 Records of individuals page 179
9 4 Many-parameter problems 190
9 5 The mean response 196
9 6 The meaning of standard errors 198
9 7 Control charts 200
10 VARIOUS SPECIAL TECHNIQUES
10 1 Wadley’s problem 202
10 2 Estimation of an extreme percentage point 208
10 3 Estimation by up-and-down techniques 211
10 4 Continuous responses 219
10 5 Multiple classifications 220
10 6 The Parker-Rhodes equation 226
10 7 Errors of dose 227
11 QUANTAL RESPONSES TO MIXTURES
11 1 Types of joint action 230
11 2 Simple similar action 232
11 3 Tests of simple similar action 235
11 4 Planning tests of simple similarity 244
11 5 Simple independent action 246
11 6 Correlated independent action 252
11 7 Tests for independent action 254
11 8 A general theory 256
11 9 Interactive joint action 261
11 10 Compound response curves 265
References 269
Tables
i Transformation of percentages to probits 283
ii The weighting coefficient and Q/Z 288
hi Maximum and minimum working probits
and ranges 309
iv Working probits 311
v The weighting coefficient in Wadley’s problem 321
vi Minimum working probit, range, and
weighting coefficient for inverse sampling 322
vii Distribution of y2 323
viii Distribution of t 324
Index of authors 325
Index of subjects 328
|
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| discipline | Agrar-/Forst-/Ernährungs-/Haushaltswissenschaft / Gartenbau Mathematik Wirtschaftswissenschaften Medizin |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV000944725 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:21:37Z |
| institution | BVB |
| isbn | 052108041X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000577134 |
| oclc_num | 256967 |
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| physical | XV, 333 S. graph. Darst. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Univ. Press |
| record_format | marc |
| spelling | Finney, David J. Verfasser aut Probit analysis D. J. Finney 3. ed. Cambridge Univ. Press 1971 XV, 333 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistics cabt Statistical Methods cabt Biomathématiques Estimation, Théorie de l' Probits gtt Statistik Biomathematics Estimation theory Probits Statistics as Topic Probit-Analyse (DE-588)4175770-1 gnd rswk-swf Biostatistik (DE-588)4729990-3 gnd rswk-swf Probit-Analyse (DE-588)4175770-1 s Biostatistik (DE-588)4729990-3 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000577134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Finney, David J. Probit analysis Statistics cabt Statistical Methods cabt Biomathématiques Estimation, Théorie de l' Probits gtt Statistik Biomathematics Estimation theory Probits Statistics as Topic Probit-Analyse (DE-588)4175770-1 gnd Biostatistik (DE-588)4729990-3 gnd |
| subject_GND | (DE-588)4175770-1 (DE-588)4729990-3 |
| title | Probit analysis |
| title_auth | Probit analysis |
| title_exact_search | Probit analysis |
| title_full | Probit analysis D. J. Finney |
| title_fullStr | Probit analysis D. J. Finney |
| title_full_unstemmed | Probit analysis D. J. Finney |
| title_short | Probit analysis |
| title_sort | probit analysis |
| topic | Statistics cabt Statistical Methods cabt Biomathématiques Estimation, Théorie de l' Probits gtt Statistik Biomathematics Estimation theory Probits Statistics as Topic Probit-Analyse (DE-588)4175770-1 gnd Biostatistik (DE-588)4729990-3 gnd |
| topic_facet | Statistics Statistical Methods Biomathématiques Estimation, Théorie de l' Probits Statistik Biomathematics Estimation theory Statistics as Topic Probit-Analyse Biostatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000577134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT finneydavidj probitanalysis |