Latent variable models and factor analysis:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London u.a.
Arnold
1999
|
| Edition: | 2. ed. |
| Series: | Kendall's library of statistics
7 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 214 S. graph. Darst. |
| ISBN: | 034069243X |
Staff View
MARC
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| 100 | 1 | |a Bartholomew, David J. |d 1931- |e Verfasser |0 (DE-588)121635864 |4 aut | |
| 245 | 1 | 0 | |a Latent variable models and factor analysis |c D. J. Bartholomew and M. Knott |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a London u.a. |b Arnold |c 1999 | |
| 300 | |a XIII, 214 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Kendall's library of statistics |v 7 | |
| 650 | 7 | |a Análise fatorial |2 larpcal | |
| 650 | 7 | |a Análise multivariada |2 larpcal | |
| 650 | 7 | |a Factoranalyse |2 gtt | |
| 650 | 7 | |a Latente variabelen |2 gtt | |
| 650 | 4 | |a Latent variables | |
| 650 | 4 | |a Latent structure analysis | |
| 650 | 4 | |a Factor analysis | |
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| 650 | 0 | 7 | |a Latente Variable |0 (DE-588)4166860-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
si
Software and Data
xv
1
Basic
Ideas and
Examples
1
The Statistical Problem
ł
A
Theoretical
Framework
З
Another Approach
7
Principal Components
9
The Historical Contest
10
Closely Related Fields in Statistics
14
2
The General
Linear
Latent Variable Mode!
17
Introduction
Î?
The Model
17
Some Properties of the Model
18
A Special Case
19
The Sufficiency Principle
20
Principal Special Cases
21
Fitting the Models
24
Fitting by Maximum Likelihood
26
Rotation
26
Iiîterpœtatioa
28
Sampling Ehw of Parameter Estimates
3©
The Prior Distribution
31
Posterior Analysis
33
A Further Note on the Prior 3§
Bayesian and
Psychometrie
Approaches to infefence
38
viii Contents
3
The Normal Linear Factor Model
41
The Model
41
Some Distributional Properties
42
Constraints on the Model
43
Maximum Likelihood Estimation
44
Maximum Likelihood Estimation by the
Е
-M
Algorithm
47
Sampling Variation of Estimators
49
Goodness of Fit and Choice of
q
52
Fitting without Normality Assumptions: Least Squares Methods
53
Approximate Methods for Estimating
Ψ
56
Goodness of Fit and Choice of
q
for Least Squares Methods
57
Further Estimation
Issues
58
Rotation and Related Matters
63
Posterior Analysis: The Normal Case
65
Posterior Analysts: Least Squares
66
Posterior Analysis: a Reliability Approach
68
Examples
68
4
Binary Data: Latent Trait Models
77
Preliminaries
77
The Logit/Normit Model
78
Fitting the Model: The
Е
-M
Algorithm
80
Divergence of the Estimation Algorithm
83
Sampling Properties of the Maximum Likelihood Estimators
84
Approximate Maximum Likelihood Estimators
85
The Normit/Horrnit Model
86
The Equivalence of the Response Function and Underlying Variable
Approaches
87
Fitting the Normit/Normit Model
W
Generalized Least Squares Methods
89
Goodness of Fit
91
Posterior Analysis
92
Examples
94
5
Polytemeas Data: Latent Trait Models
103
Introduction
103
A Response Function Model Based on the Sufficiency Principle
103
Rotation
108
Ondemg of Categories
ІШ
Maximum
Lîfelïbood
Estimation of the Pelytomons Legit Model
109
An Approximation to the Likelihood
1
Ю
Binary Data as a Special Case
117
An Underlying Variable Model 1
19
An Alternative Underlying Variable Model
121
Posterior Analysis
125
Contents ix
Further
Observations
125
б
Latent
Class Models
133
Introduction
і
33
The Latent Class Model with Binary Manifest Variables
134
The Latent Class Model for Binary Data as a Latent Trait Model
135
Maximum Likelihood Estimation
137
Standard Errors
140
Posterior Analysis of the Latent Class Model with Binary Manifest Variables
141
Goodness of Fit
141
Examples for Binary Data
142
Latent Class Models with Unordered Polytomous Manifest Variables
145
Maximum Likelihood Estimation
146
Examples for Unordered Polytomous Data
148
Latent Class Models with Ordered Polytomous Manifest Variables
150
Identifiabtlity
150
Latent Class Models with Metrical Manifest Variables
1
5
1
Maximum Likelihood Estimation
152
Other Methods
153
Allocation to Categories
155
Models with Ordered Latent Classes
156
?
Models and Methods for Manifest Variables of Mixed Type
157
Introduction
15?
Principal Results
158
The Binomial Distribution
159
The
Poisson
Distribution
159
The Gamma Distribution
160
Maximum Likelihood Estimation
160
Sampling Properties and Goodness of Fit
166
Mixed Latent Class Models
167
Posterior Analysis
168
Examples
169
Ordered Categorical Variables and Other Generalizations
173
І
Relationships between Latent Variables ITS
Scope
і
75
Correlated Latent Variables
175
Procrustes Methods 17a
Soerces of Prior Knowledge
177
Linear StroctaraJ Relations Models
177
The Lisre! Model
180
Structural Relationships in
a Generai
Settiag IS
1
Generalizations of the Lisrel Model
182
Examples of Models which are Indistinguishable
183
χ
Contents
Alternatíve
Approaches to the Relationships between Latent Variables
J
85
Estimation of Correlations and Regressions between Latent Variables
186
Implications for Analysis
188
Bibliography
191
Author Index
206
Subject Index
209
|
| any_adam_object | 1 |
| author | Bartholomew, David J. 1931- Knott, Martin |
| author_GND | (DE-588)121635864 |
| author_facet | Bartholomew, David J. 1931- Knott, Martin |
| author_role | aut aut |
| author_sort | Bartholomew, David J. 1931- |
| author_variant | d j b dj djb m k mk |
| building | Verbundindex |
| bvnumber | BV013034532 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA278.6.B37 1999 |
| callnumber-search | QA278.6.B37 1999 |
| callnumber-sort | QA 3278.6 B37 41999 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 234 SK 830 SK 840 |
| classification_tum | MAT 620f |
| ctrlnum | (OCoLC)41595409 (DE-599)BVBBV013034532 |
| dewey-full | 519.5/3521 519.5/35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/35 21 519.5/35 |
| dewey-search | 519.5/35 21 519.5/35 |
| dewey-sort | 3519.5 235 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV013034532 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:38:00Z |
| institution | BVB |
| isbn | 034069243X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008879703 |
| oclc_num | 41595409 |
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| physical | XIII, 214 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Arnold |
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| series | Kendall's library of statistics |
| series2 | Kendall's library of statistics |
| spelling | Bartholomew, David J. 1931- Verfasser (DE-588)121635864 aut Latent variable models and factor analysis D. J. Bartholomew and M. Knott 2. ed. London u.a. Arnold 1999 XIII, 214 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kendall's library of statistics 7 Análise fatorial larpcal Análise multivariada larpcal Factoranalyse gtt Latente variabelen gtt Latent variables Latent structure analysis Factor analysis Faktorenanalyse (DE-588)4016338-6 gnd rswk-swf Latente Variable (DE-588)4166860-1 gnd rswk-swf Latent-Class-Analyse (DE-588)4166857-1 gnd rswk-swf Faktorenanalyse (DE-588)4016338-6 s Latente Variable (DE-588)4166860-1 s DE-604 Latent-Class-Analyse (DE-588)4166857-1 s Knott, Martin Verfasser aut Kendall's library of statistics 7 (DE-604)BV010165867 7 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008879703&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bartholomew, David J. 1931- Knott, Martin Latent variable models and factor analysis Kendall's library of statistics Análise fatorial larpcal Análise multivariada larpcal Factoranalyse gtt Latente variabelen gtt Latent variables Latent structure analysis Factor analysis Faktorenanalyse (DE-588)4016338-6 gnd Latente Variable (DE-588)4166860-1 gnd Latent-Class-Analyse (DE-588)4166857-1 gnd |
| subject_GND | (DE-588)4016338-6 (DE-588)4166860-1 (DE-588)4166857-1 |
| title | Latent variable models and factor analysis |
| title_auth | Latent variable models and factor analysis |
| title_exact_search | Latent variable models and factor analysis |
| title_full | Latent variable models and factor analysis D. J. Bartholomew and M. Knott |
| title_fullStr | Latent variable models and factor analysis D. J. Bartholomew and M. Knott |
| title_full_unstemmed | Latent variable models and factor analysis D. J. Bartholomew and M. Knott |
| title_short | Latent variable models and factor analysis |
| title_sort | latent variable models and factor analysis |
| topic | Análise fatorial larpcal Análise multivariada larpcal Factoranalyse gtt Latente variabelen gtt Latent variables Latent structure analysis Factor analysis Faktorenanalyse (DE-588)4016338-6 gnd Latente Variable (DE-588)4166860-1 gnd Latent-Class-Analyse (DE-588)4166857-1 gnd |
| topic_facet | Análise fatorial Análise multivariada Factoranalyse Latente variabelen Latent variables Latent structure analysis Factor analysis Faktorenanalyse Latente Variable Latent-Class-Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008879703&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010165867 |
| work_keys_str_mv | AT bartholomewdavidj latentvariablemodelsandfactoranalysis AT knottmartin latentvariablemodelsandfactoranalysis |