Nonlinear Factor Analysis as a Statistical Method

LISREL 7 : user's reference guide

1989 • 3,509 citations

Measurement Error Models

1988 • 2,947 citations

A general approach to confirmatory maximum likelihood factor analysis

1969 • 2,356 citations

Measurement Error Models

1987 • 2,237 citations

A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators

1984 • 1,924 citations

Asymptotically distribution‐free methods for the analysis of covariance structures

1984 • 1,748 citations

Measurement Error in Nonlinear Models

1995 • 1,746 citations

Latent curve analysis

1990 • 1,423 citations

Can test statistics in covariance structure analysis be trusted?

1992 • 1,328 citations

Transformation and Weighting in Regression

1988 • 1,254 citations

Transformation and Weighting in Regression.

1990 • 1,182 citations

A general method for analysis of covariance structures

1970 • 1,101 citations

A GENERAL METHOD FOR ESTIMATING A LINEAR STRUCTURAL EQUATION SYSTEM*

1970 • 994 citations

Statistical Inference in Factor Analysis

1956 • 926 citations

Latent Growth Curves within Developmental Structural Equation Models

1987 • 871 citations

Some contributions to maximum likelihood factor analysis

1967 • 858 citations

Estimating the nonlinear and interactive effects of latent variables.

1984 • 849 citations

Statistical Regression With Measurement Error

2000 • 407 citations

VI.—The Estimation of Factor Loadings by the Method of Maximum Likelihood

1940 • 378 citations

Nonlinear structural equation models: The Kenny-Judd model with Interaction effects

1996 • 378 citations

On the estimation of polychoric correlations and their asymptotic covariance matrix

1994 • 360 citations

A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the metropolis-hastings algorithm

1998 • 226 citations

The Asymptotic Normal Distribution of Estimators in Factor Analysis under General Conditions

1988 • 209 citations

Robustness of normal theory methods in the analysis of linear latent variate models

1988 • 166 citations

Asymptotic Chi-Square Tests for a Large Class of Factor Analysis Models

1990 • 156 citations

Asymptotic Robust Inferences in the Analysis of Mean and Covariance Structures

1992 • 152 citations

Factor analysis by least squares and maximum likelihood methods

1977 • 128 citations

Robustness of statistical inference in factor analysis and related models

1987 • 121 citations

A Comparison between Maximum Likelihood and Generalized Least Squares in a Heteroscedastic Linear Model

1982 • 113 citations

Estimation for Polynomial Structural Equation Models

2000 • 111 citations

A general approach to nonlinear factor analysis

1962 • 108 citations

Nonlinear Factor Analysis as a Statistical Method

2001 • 98 citations

A General Method for Analysis of Covariance Structures

1970 • 96 citations

Generalized Appended Product Indicator Procedure for Nonlinear Structural Equation Analysis

2001 • 92 citations

A Newton-Raphson algorithm for maximum likelihood factor analysis

1969 • 92 citations

Estimation for the Nonlinear Functional Relationship

1988 • 89 citations

What Should be Done When an Estimated between-Group Covariance Matrix is not Nonnegative Definite?

1985 • 85 citations

A second generation nonlinear factor analysis

1983 • 77 citations

THE APPLICATION OF THE MAXIMUM LIKELIHOOD METHOD TO FACTOR ANALYSIS

1943 • 71 citations

XIV.—Further Investigations in Factor Estimation

1942 • 61 citations

Use and Abuse of Variance Models in Regression

1988 • 56 citations

The asymptotic distributions of some estimators for a factor analysis model

1987 • 44 citations

NUMERICAL METHODS FOR POLYNOMIAL MODELS IN NONLINEAR FACTOR ANALYSIS

1965 • 40 citations

The simultaneous estimation of factor loadings and scores

1979 • 31 citations

FACTOR INTERACTION IN NONLINEAR FACTOR ANALYSIS

1967 • 30 citations

Estimation for Polynomial Structural Equation Models

2000 • 19 citations

A Comparison Between Maximum Likelihood and Generalized Least Squares in a Heteroscedastic Linear Model

1982 • 15 citations

Estimation of interaction models using the augmented moment matrix: Comparison of asymptotic standard errors

1997 • 12 citations

SOLUTION SURFACES AND GENERALIZED PATHS IN NON-LINEAR STRUCTURAL MECHANICS

2001 • 11 citations

Computational algorithms for the factor model

1986 • 8 citations

Nonlinear factor analysis

1995 • 5 citations

Instrumental variable estimation for nonlinear factor analysis

1993 • 5 citations