Statistical tools for nonlinear regression: a practical guide with S-PLUS and R examples
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo
Springer
2003
|
| Edition: | 2. ed. |
| Series: | Springer series in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 232 S. graph. Darst. 25 cm |
| ISBN: | 0387400818 |
Staff View
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| 245 | 1 | 0 | |a Statistical tools for nonlinear regression |b a practical guide with S-PLUS and R examples |c Sylvie Huet ... |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo |b Springer |c 2003 | |
| 300 | |a XIV, 232 S. |b graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer series in statistics | |
| 650 | 4 | |a Regression analysis | |
| 650 | 4 | |a Nonlinear theories | |
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Record in the Search Index
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| adam_txt |
CONTENTS
1
NONLINEAR
REGRESSION
MODEL
AND
PARAMETER
ESTIMATION
1
1.1
EXAMPLES
.
1
1.1.1
PASTURE
REGROWTH:
ESTIMATING
A
GROWTH
CURVE
.
1
1.1.2
RADIOIMMUNOLOGICAL
ASSAY
OF
CORTISOL:
ESTIMATING
A
CALIBRATION
CURVE
.
3
1.1.3
ANTIBODIES
ANTICORONAVIRUS
ASSAYED
BY
AN
ELISA
TEST:
COMPARING
SEVERAL
RESPONSE
CURVES
.
6
1.1.4
COMPARISON
OF
IMMATURE
AND
MATURE
GOAT
OVOCYTES;
COMPARING
PARAMETERS
.
8
1.1.5
ISOMERIZATION:
MORE
THAN
ONE
INDEPENDENT
VARIABLE
.
9
1.2
THE
PARAMETRIC
NONLINEAR
REGRESSION
MODEL
.
12
1.3
ESTIMATION
.
.
12
1.4
APPLICATIONS
.
13
1.4.1
PASTURE
REGROWTH:
PARAMETER
ESTIMATION
AND
GRAPH
OF
OBSERVED
AND
ADJUSTED
RESPONSE
VALUES
.
13
1.4.2
CORTISOL
ASSAY:
PARAMETER
ESTIMATION
AND
GRAPH
OF
OBSERVED
AND
ADJUSTED
RESPONSE
VALUES
.
14
1.4.3
ELISA
TEST:
PARAMETER
ESTIMATION
AND
GRAPH
OF
OB
SERVED
AND
ADJUSTED
CURVES
FOR
MAY
AND
JUNE
.
15
1.4.4
OVOCYTES:
PARAMETER
ESTIMATION
AND
GRAPH
OF
OB
SERVED
AND
ADJUSTED
VOLUME
OF
MATURE
AND
IMMATURE
OVOCYTES
IN
PROPANE-DIOL
.
16
1.4.5
ISOMERIZATION:
PARAMETER
ESTIMATION
AND
GRAPH
OF
AD
JUSTED
VERSUS
OBSERVED
VALUES
.
17
VIII
CONTENTS
1.5
CONCLUSION
AND
REFERENCES
.
18
1.6
USING
NLS2
.
19
2
ACCURACY
OF
ESTIMATORS,
CONFIDENCE
INTERVALS
AND
TESTS
29
2.1
EXAMPLES
.
29
2.2
PROBLEM
FORMULATION
.
30
2.3
SOLUTIONS
.
31
2.3.1
CLASSICAL
ASYMPTOTIC
RESULTS
.
31
2.3.2
ASYMPTOTIC
CONFIDENCE
INTERVALS
FOR
A
.
32
2.3.3
ASYMPTOTIC
TESTS
OF
"
A
=
AO
"
AGAINST
"
A
AO
"
.
33
2.3.4
ASYMPTOTIC
TESTS
OF
"
A0
=
L
Q
"
AGAINST
"
A0
L
O
"
.
34
2.3.5
BOOTSTRAP
ESTIMATIONS
.
35
2.4
APPLICATIONS
.
-
.
38
2.4.1
PASTURE
REGROWTH:
CALCULATION
OF
A
CONFIDENCE
INTERVAL
FOR
THE
MAXIMUM
YIELD
.
38
2.4.2
CORTISOL
ASSAY^ESTIMATION
OF
THE
ACCURACY
OF
THE
ES
TIMATED
DOSE
D
.
40
2.4.3
ELISA
TEST:
COMPARISON
OF
CURVES
.
40
2.4.4
OVOCYTES:
CALCULATION
OF
CONFIDENCE
REGIONS
.
43
2.4.5
ISOMERIZATION:
AN
AWKWARD
EXAMPLE
.
44
2.4.6
PASTURE
REGROWTH:
CALCULATION
OF
A
CONFIDENCE
INTERVAL
FOR
A
=
EXP
63
.
48
2.5
CONCLUSION
.
49
2.6
USING
NLS2
.
49
3
VARIANCE
ESTIMATION
61
3.1
EXAMPLES
.
62
3.1.1
GROWTH
OF
WINTER
WHEAT
TILLERS:
FEW
REPLICATIONS
.
62
3.1.2
SOLUBILITY
OF
PEPTIDES
IN
TRICHLOACETIC
ACID
SOLUTIONS:
NO
REPLICATIONS
.
63
3.2
PARAMETRIC
MODELING
OF
THE
VARIANCE
.
65
3.3
ESTIMATION
.
66
3.3.1
MAXIMUM
LIKELIHOOD
.
66
3.3.2
THREE-STEP
ALTERNATE
MEAN
SQUARES
.
67
3.4
TESTS
AND
CONFIDENCE
REGIONS
.
68
3.4.1
THE
WALD
TEST
.
68
3.4.2
THE
LIKELIHOOD
RATIO
TEST
.
69
3.4.3
LINKS
BETWEEN
TESTING
PROCEDURES
AND
CONFIDENCE
RE
GION
COMPUTATIONS
.
70
3.4.4
CONFIDENCE
REGIONS
.
71
3.5
APPLICATIONS
.
72
3.5.1
GROWTH
OF
WINTER
WHEAT
TILLERS
.
72
3.5.2
SOLUBILITY
OF
PEPTIDES
IN
TRICHLOACETIC
ACID
SOLUTIONS
.
76
3.6
USING
NLS2
.
79
CONTENTS
IX
4
DIAGNOSTICS
OF
MODEL
MISSPECIFICATION
89
4.1
PROBLEM
FORMULATION
.
89
4.2
DIAGNOSTICS
OF
MODEL
MISSPECIFICATIONS
WITH
GRAPHICS
.
90
4.2.1
PASTURE
REGROWTH
EXAMPLE:
ESTIMATION
USING
A
CONCAVE
SHAPED
CURVE
AND
PLOT
FOR
DIAGNOSTICS
.
91
4.2.2
ISOMERIZATION
EXAMPLE:
GRAPHICS
FOR
DIAGNOSTIC
.
92
4.2.3
PEPTIDES
EXAMPLE:
GRAPHICS
FOR
DIAGNOSTIC
.
94
4.2.4
CORTISOL
ASSAY
EXAMPLE:
HOW
TO
CHOOSE
THE
VARIANCE
FUNCTION
USING
REPLICATIONS
.
97
4.2.5
TRAJECTORY
OF
ROOTS
OF
MAIZE:
HOW
TO
DETECT
CORRELA
TIONS
IN
ERRORS
.
103
4.2.6
WHAT
CAN
WE
SAY
ABOUT
THE
EXPERIMENTAL
DESIGN?
.
.
104
4.3
DIAGNOSTICS
OF
MODEL
MISSPECIFICATIONS
WITH
TESTS
.
108
4.3.1
RIA
OF
CORTISOL:
COMPARISON
OF
NESTED
MODELS
.
108
4.3.2
TESTS
USING
REPLICATIONS
.
108
4.3.3
CORTISOL
ASSAY
EXAMPLE:
MISSPECIFICATION
TESTS
USING
REPLICATIONS
.
110
4.3.4
OVOCYTES
EXAMPLE:
GRAPHICS
OF
RESIDUALS
AND
MISSPEC
IFICATION
TESTS
USING
REPLICATIONS
.
110
4.4
NUMERICAL
TROUBLES
DURING
THE
ESTIMATION
PROCESS:
PEPTIDES
EXAMPLE
.
ILL
4.5
PEPTIDES
EXAMPLE:
CONCLUDED
.
115
4.6
USING
NLS2
.
117
5
CALIBRATION
AND
PREDICTION
131
5.1
EXAMPLES
.
131
5.2
PROBLEM
FORMULATION
.
133
5.3
CONFIDENCE
INTERVALS
.
133
5.3.1
PREDICTION
OF
A
RESPONSE
.
133
5.3.2
CALIBRATION
WITH
CONSTANT
VARIANCES
.
135
5.3.3
CALIBRATION
WITH
NONCONSTANT
VARIANCES
.
137
5.4
APPLICATIONS
.
138
5.4.1
PASTURE
REGROWTH
EXAMPLE:
PREDICTION
OF
THE
YIELD
AT
TIME
XQ
50
.
138
5.4.2
CORTISOL
ASSAY
EXAMPLE
.
139
5.4.3
NASTURTIUM
ASSAY
EXAMPLE
.
140
5.5
REFERENCES
.
141
5.6
USING
NLS2
.
141
REFERENCES
149
INDEX
152 |
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| building | Verbundindex |
| bvnumber | BV023529260 |
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| ctrlnum | (OCoLC)890356525 (DE-599)BVBBV023529260 |
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| dewey-search | 519.5/36 21 |
| dewey-sort | 3519.5 236 221 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV023529260 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:34:46Z |
| indexdate | 2024-07-09T21:23:59Z |
| institution | BVB |
| isbn | 0387400818 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016849459 |
| oclc_num | 890356525 |
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| owner | DE-521 |
| owner_facet | DE-521 |
| physical | XIV, 232 S. graph. Darst. 25 cm |
| publishDate | 2003 |
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| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer series in statistics |
| spelling | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples Sylvie Huet ... 2. ed. New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo Springer 2003 XIV, 232 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Regression analysis Nonlinear theories Parameter estimation S-PLUS (DE-588)4321162-8 gnd rswk-swf Programm (DE-588)4047394-6 gnd rswk-swf Nichtlineare Regression (DE-588)4251077-6 gnd rswk-swf Nichtlineare Regression (DE-588)4251077-6 s S-PLUS (DE-588)4321162-8 s Programm (DE-588)4047394-6 s DE-604 Huet, Sylvie Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016849459&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples Regression analysis Nonlinear theories Parameter estimation S-PLUS (DE-588)4321162-8 gnd Programm (DE-588)4047394-6 gnd Nichtlineare Regression (DE-588)4251077-6 gnd |
| subject_GND | (DE-588)4321162-8 (DE-588)4047394-6 (DE-588)4251077-6 |
| title | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples |
| title_auth | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples |
| title_exact_search | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples |
| title_exact_search_txtP | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples |
| title_full | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples Sylvie Huet ... |
| title_fullStr | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples Sylvie Huet ... |
| title_full_unstemmed | Statistical tools for nonlinear regression a practical guide with S-PLUS and R examples Sylvie Huet ... |
| title_short | Statistical tools for nonlinear regression |
| title_sort | statistical tools for nonlinear regression a practical guide with s plus and r examples |
| title_sub | a practical guide with S-PLUS and R examples |
| topic | Regression analysis Nonlinear theories Parameter estimation S-PLUS (DE-588)4321162-8 gnd Programm (DE-588)4047394-6 gnd Nichtlineare Regression (DE-588)4251077-6 gnd |
| topic_facet | Regression analysis Nonlinear theories Parameter estimation S-PLUS Programm Nichtlineare Regression |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016849459&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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