Jennrich, Robert I. 1932
Overview
Works:  31 works in 58 publications in 1 language and 226 library holdings 

Roles:  Author 
Classifications:  QA278.2, 519.536 
Publication Timeline
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Most widely held works by
Robert I Jennrich
An introduction to computational statistics : regression analysis by
Robert I Jennrich(
Book
)
9 editions published in 1995 in English and held by 137 WorldCat member libraries worldwide
9 editions published in 1995 in English and held by 137 WorldCat member libraries worldwide
Fitting nonlinear models to data by
Robert I Jennrich(
Book
)
1 edition published in 1978 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 1978 in English and held by 13 WorldCat member libraries worldwide
Maximum likelihood estimation by means of nonlinear least squares by
Robert I Jennrich(
Book
)
4 editions published in 1975 in English and Undetermined and held by 10 WorldCat member libraries worldwide
4 editions published in 1975 in English and Undetermined and held by 10 WorldCat member libraries worldwide
Letting BMDP8V tell us something about randomized blocks, repeated measures and splitplots by
Robert I Jennrich(
Book
)
6 editions published between 1979 and 1987 in English and held by 8 WorldCat member libraries worldwide
6 editions published between 1979 and 1987 in English and held by 8 WorldCat member libraries worldwide
Ridge regression, Bayes estimation, variance components and the general mixed model by means of nonlinear regression by
Robert I Jennrich(
Book
)
3 editions published between 1978 and 1987 in English and held by 8 WorldCat member libraries worldwide
3 editions published between 1978 and 1987 in English and held by 8 WorldCat member libraries worldwide
Life table analysis with small numbers of cases : an example : multiple myeloma in Hiroshima and Nagasaki = Shōsūrei o mochiita
seimeihyō kaiseki no ichirei : Hiroshima, Nagasaki ni okeru tahatsusei kotsuzuishu by
David G Hoel(
Book
)
2 editions published in 1984 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 6 WorldCat member libraries worldwide
St andard Errors for Rotated Factor Loadings by Claud O Archer(
Book
)
3 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
Beginning with the results of Girschick on the asymptotic distribution of principal component loadings and those of Lawley on the distribution of unrotated maximum likelihood factor loadings, the asymptotic distributions of the corresponding analytically rotated loadings is obtained. The principal difficulty is the fact that the transformation matrix which produces the rotation is usually itself a function of the data. The approach is to use implicit differentiation to find the partial derivatives of an arbitrary orthogonal rotation algorithm. Specific details are given for the orthomax algorithms and an example involving maximum likelihood estimation and varimax rotation is presented. (Author)
3 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
Beginning with the results of Girschick on the asymptotic distribution of principal component loadings and those of Lawley on the distribution of unrotated maximum likelihood factor loadings, the asymptotic distributions of the corresponding analytically rotated loadings is obtained. The principal difficulty is the fact that the transformation matrix which produces the rotation is usually itself a function of the data. The approach is to use implicit differentiation to find the partial derivatives of an arbitrary orthogonal rotation algorithm. Specific details are given for the orthomax algorithms and an example involving maximum likelihood estimation and varimax rotation is presented. (Author)
A note on Lawley's formulas for standard errors in maximum likelihood factor analysis by
Robert I Jennrich(
Book
)
3 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
Evidence is given to indicate that Lawley's formulas for the standard errors of maximum likelihood loading estimates do not produce exact asymptotic results. A small modification is derived which appears to eliminate this difficulty. (Author)
3 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
Evidence is given to indicate that Lawley's formulas for the standard errors of maximum likelihood loading estimates do not produce exact asymptotic results. A small modification is derived which appears to eliminate this difficulty. (Author)
Systems, program and statistical development by
Leon Engelman(
Book
)
2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
Fitting models defined by differential equations(
Book
)
1 edition published in 1984 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 3 WorldCat member libraries worldwide
Simplified Formulas for St andard Errors in Maximum Likelihood Factor Analysis by
Robert I Jennrich(
Book
)
2 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
Standard errors for maximum likelihood estimates of factor loadings are expressed in terms of the inverse of an augmented information matrix. This formulation arises naturally by viewing the problem as one in constrained maximum likelihood estimation. The constraints correspond to the form of rotation used. Results are given for canonical rotation and analytic rotations in the orthomax family. (Author)
2 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
Standard errors for maximum likelihood estimates of factor loadings are expressed in terms of the inverse of an augmented information matrix. This formulation arises naturally by viewing the problem as one in constrained maximum likelihood estimation. The constraints correspond to the form of rotation used. Results are given for canonical rotation and analytic rotations in the orthomax family. (Author)
Exploratory BiFactor Analysis by
Robert I Jennrich(
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
The Infinitesimal Jackknife and Moment Structure Analysis Using Higher Order Moments by
Robert I Jennrich(
)
1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide
Ridge regression, Bayes estimation, variance components and the general mixed model by means of nonlinear regression by
Robert I Jennrich(
Book
)
2 editions published between 1978 and 1987 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1978 and 1987 in English and held by 2 WorldCat member libraries worldwide
NewtonRaphson and related algorithms for maximum likelihood variance component estimation by
Robert I Jennrich(
Book
)
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
Orthomax rotation and perfect simple structure by
Coen A Bernaards(
)
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
St andard Errors for Obliquely Rotated Factor Loadings. Draft by
Robert I Jennrich(
Book
)
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
In a manner similar to that used in the orthogonal case, formulas for the asymptotic standard errors of analytically rotated oblique factor loading estimates are obtained. This is done by finding expressions for the partial derivatives of an oblique rotation algorithm and using previously derived results for unrotated loadings. These include the results of Lawley for maximum likelihood factor analysis and those of Girshick for principal components analysis. Details are given in cases including direct oblimin and direct CrawfordFerguson rotation. Numerical results for an example involving maximum likelihood estimation with direct quartimin rotation are presented. They include simultaneous tests for significant loading estimates. (Author)
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
In a manner similar to that used in the orthogonal case, formulas for the asymptotic standard errors of analytically rotated oblique factor loading estimates are obtained. This is done by finding expressions for the partial derivatives of an oblique rotation algorithm and using previously derived results for unrotated loadings. These include the results of Lawley for maximum likelihood factor analysis and those of Girshick for principal components analysis. Details are given in cases including direct oblimin and direct CrawfordFerguson rotation. Numerical results for an example involving maximum likelihood estimation with direct quartimin rotation are presented. They include simultaneous tests for significant loading estimates. (Author)
Derivative Free Gradient Projection Algorithms for Rotation by
Robert I Jennrich(
)
1 edition published in 2003 in Undetermined and held by 1 WorldCat member library worldwide
A simple modification substantially simplifies the use of the gradient projection (GP) rotation algorithms of Jennrich (2001, 2002). These algorithms require subroutines to compute the value and gradient of any specific rotation criterion of interest. The gradient can be difficult to derive and program. It is shown that using numerical gradients gives almost precisely the same results as using exact gradients. The resulting algorithm is very easy to use because the only problem specific code required is that needed to define the rotation criterion. The computing time is increased when using numerical gradients, but it is still very modest for most purposes. While used extensively elsewhere, numerical derivatives seem to be under utilized in statistics
1 edition published in 2003 in Undetermined and held by 1 WorldCat member library worldwide
A simple modification substantially simplifies the use of the gradient projection (GP) rotation algorithms of Jennrich (2001, 2002). These algorithms require subroutines to compute the value and gradient of any specific rotation criterion of interest. The gradient can be difficult to derive and program. It is shown that using numerical gradients gives almost precisely the same results as using exact gradients. The resulting algorithm is very easy to use because the only problem specific code required is that needed to define the rotation criterion. The computing time is increased when using numerical gradients, but it is still very modest for most purposes. While used extensively elsewhere, numerical derivatives seem to be under utilized in statistics
Optimal designs for certain cancer problems by
Paul G Hoel(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Cox regression by means of nonlinear least squares by
Robert I Jennrich(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
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Related Identities
 University of California, Los Angeles BMDP Statistical Software
 Ralston, Mary L.
 SpringerLink (Online service) Other
 Educational Testing Service, Princeton, Nj
 Hoel, David G. Author
 Moore, R. H.
 Radiation Effects Research Foundation
 Thayer, Dorothy T.
 Moore, R. H. (Raymond H.) 1918
 Archer, Claud O. Author
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