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The CALIS Procedure |

Akaike, H. (1974), "A New Look at the Statistical
Identification Model,"
*IEEE Transactions on Automatic Control*, 19, 716 -723.

Akaike, H. (1987), "Factor Analysis and AIC,"
*Psychometrika*, 52, 317 -332.

Al-Baali, M. and Fletcher, R. (1985),
"Variational Methods for Nonlinear Least Squares,"
*J. Oper. Res. Soc.*, 36, 405 -421.

Al-Baali, M. and Fletcher, R. (1986),
"An Efficient Line Search for Nonlinear Least Squares,"
*J. Optimiz. Theory Appl.*, 48, 359 -377.

Anderson, T.W. (1960),
"Some Stochastic Process Models for Intelligence Test Scores,"
in *Mathematical Methods in the Social Sciences*,
eds. K.J. Arrow, S. Karlin, and P. Suppes
Stanford: Stanford University Press.

Beale, E.M.L. (1972),
"A Derivation of Conjugate Gradients,"
in *Numerical Methods for Nonlinear Optimization*, ed. F.A. Lootsma,
London: Academic Press.

Bentler, P.M. (1983), "Some Contributions to Efficient
Statistics in Structural Models: Specification and
Estimation of Moment Structures,"
*Psychometrika*, 48, 493 -517.

Bentler, P.M. (1985), *Theory and Implementation
of EQS: A Structural Equations Program*,
Manual for Program Version 2.0,
Los Angeles: BMDP Statistical Software, Inc.

Bentler, P.M. (1986), *Lagrange Multiplier and
Wald Tests for EQS and EQS/PC*,
Los Angeles: BMDP Statistical Software, Inc.

Bentler, P.M. (1989), *EQS, Structural Equations,
Program Manual*, Program Version 3.0,
Los Angeles: BMDP Statistical Software, Inc.

Bentler, P.M. and Bonett, D.G. (1980), "Significance Tests
and Goodness of Fit in the Analysis of Covariance Structures,"
*Psychological Bulletin*, 88, 588 -606.

Bentler, P.M. and Weeks, D.G. (1980),
"Linear Structural Equations with Latent Variables,"
*Psychometrika*, 45, 289 -308.

Bentler, P.M. and Weeks, D.G. (1982),
"Multivariate Analysis with Latent Variables,"
in *Handbook of Statistics, Vol. 2*,
eds. P.R. Krishnaiah and L.N. Kanal, Amsterdam:
North Holland Publishing Company.

Bishop, Y.M.M., Fienberg, S.E., and Holland, P.W. (1977),
*Discrete Multivariate Analysis: Theory and Practice*,
Cambridge and London: MIT Press.

Bollen, K.A. (1986),
"Sample Size and Bentler and Bonett's Nonnormed Fit Index,"
*Psychometrika*, 51, 375 -377.

Bollen, K.A. (1989a),
"A New Incremental Fit Index for General Structural Equation Models,"
*Sociological Methods and Research*, 17, 303 -316.

Bollen, K.A. (1989b),
*Structural Equations with Latent Variables*,
New York: John Wiley & Sons, Inc.

Bozdogan, H. (1987), "Model Selection and Akaike's Information
Criterion (AIC): The General Theory and its Analytical Extensions,"
*Psychometrika*, 52, 345 -370.

Browne, M.W. (1974), "Generalized Least Squares Estimators
in the Analysis of Covariance Structures,"
*South African Statistical Journal*, 8, 1 -24.

Browne, M.W. (1982), "Covariance Structures,"
in *Topics in Multivariate Analyses*,
ed. D.M. Hawkins, New York: Cambridge University Press.

Browne, M. W. (1984), "Asymptotically Distribution-Free
Methods for the Analysis of Covariance Structures,"
*British Journal of Mathematical and Statistical Psychology*, 37, 62 -83.

Browne, M. W. (1992), "Circumplex Models for Correlation Matrices," Psychometrika, 57, 469 -497.

Browne, M. W. and Cudeck, R. (1993),
"Alternative Ways of Assessing Model Fit,"
in *Testing Structural Equation Models*,
eds. K. A. Bollen and S. Long, Newbury Park, CA: Sage Publications, Inc.

Browne, M. W. and Du Toit, S.H.C. (1992),
"Automated Fitting of Nonstandard Models,"
*Multivariate Behavioral Research*, 27, 269 -300.

Browne, M.W. and Shapiro, A. (1986),
"The Asymptotic Covariance Matrix of Sample Correlation
Coefficients under General Conditions," *Linear Algebra
and its Applications*, 82, 169 -176.

Bunch, J.R. and Kaufman, K. (1977),
"Some Stable Methods for Calculating Inertia and
Solving Symmetric Linear Systems,"
*Mathematics of Computation*, 31, 162 -179.

Buse, A. (1982), "The Likelihood Ratio, Wald,
and Lagrange Multiplier Tests: An Expository Note,"
*The American Statistician*, 36, 153 -157.

Chamberlain, R.M., Powell, M.J.D., Lemarechal, C., and
Pedersen, H.C. (1982),
"The Watchdog Technique for Forcing Convergence in
Algorithms for Constrained Optimization,"
*Mathematical Programming*, 16, 1 -17.

Cramer, J.S. (1986),
*Econometric Applications of Maximum Likelihood Methods*,
Cambridge: Cambridge University Press.

DeLeeuw, J. (1983), "Models and Methods for the Analysis
of Correlation Coefficients," *Journal of Econometrics*,
22, 113 -137.

Dennis, J.E., Gay, D.M., and Welsch, R.E. (1981),
"An Adaptive Nonlinear Least-Squares Algorithm,"
*ACM Trans. Math. Software*, 7, 348 -368.

Dennis, J.E. and Mei, H.H.W. (1979),
"Two New Unconstrained Optimization Algorithms which use
Function and Gradient Values,"
*J. Optim. Theory Appl.*, 28, 453 -482.

Dennis, J.E. and Schnabel, R.B. (1983),
*Numerical Methods for Unconstrained Optimization
and Nonlinear Equations*,
New Jersey: Prentice-Hall.

Dijkstra, T. K. (1992),
"On Statistical Inference with Parameter Estimates on the
Boundary of the Parameter Space,"
*British Journal of Mathematical and Statistical Psychology*,
45, 289 -309.

Everitt, B.S. (1984), *An Introduction to Latent
Variable Methods*, London: Chapman & Hall.

Fletcher, R. (1980), *Practical Methods of Optimization*,
Vol. 1, Chichester: John Wiley & Sons, Inc.

Fletcher, R. (1987),
*Practical Methods of Optimization*,
Second Edition, Chichester: John Wiley & Sons, Inc.

Fletcher, R. and Powell, M.J.D. (1963),
"A Rapidly Convergent Descent Method for Minimization,"
*Comput.J.*, 6, 163 -168.

Fletcher, R. and Xu, C. (1987),
"Hybrid Methods for Nonlinear Least Squares,"
*J. Numerical Analysis*, 7, 371 -389.

Fuller, A.W. (1987), *Measurement Error Models*,
New York: John Wiley & Sons, Inc.

Gallant, A. R. (1987),
*Nonlinear Statistical Models*,
New York: John Wiley & Sons, Inc.

Gay, D.M. (1983),
"Subroutines for Unconstrained Minimization,"
*ACM Trans. Math. Software*, 9, 503 -524.

Gill, E.P., Murray, W., Saunders, M.A., and Wright, M.H. (1983),
"Computing Forward-Difference Intervals for Numerical
Optimization," *SIAM J. Sci. Stat. Comput.*,
4, 310 -321.

Gill, E.P., Murray, W., and Wright, M.H. (1981),
*Practical Optimization*, London: Academic Press.

Gill, E.P., Murray, W., Saunders, M.A., and Wright, M.H. (1984),
"Procedures for Optimization Problems with a Mixture of
Bounds and General Linear Constraints,"
*ACM Trans. Math. Software*, 10, 282 -298.

Goldfeld, S.M., Quandt, R.E., and Trotter, H.F. (1966),
"Maximization by Quadratic Hill-Climbing,"
*Econometrica*, 34, 541 -551.

Guttman, L. (1953), "Image Theory for the Structure of
Quantitative Variates," *Psychometrika*, 18, 277 -296.

Guttman, L. (1957), "Empirical Verification of the Radex
Structure of Mental Abilities and Personality Traits,"
*Educational and Psychological Measurement*,
17, 391 -407.

Hgglund, G. (1982), "Factor Analysis by Instrumental
Variable Methods," *Psychometrika*, 47, 209 -222.

Hartmann, W.M. (1992),
*The NLP Procedure: Extended User's Guide*,
Cary: SAS Institute Inc.

Hartmann, W. M. and Hartwig, R. E. (1995),
"Computing the Moore-Penrose Inverse for the
Covariance Matrix in Constrained Nonlinear Estimation,"
accepted for publication in
*SIAM Journal on Optimization*.

Hartmann, W. M. and So, Y. (1995), "Nonlinear Least-Squares and Maximum-Likelihood Estimation Using PROC NLP and SAS/IML," Computer Technology Workshop, American Statistical Association, Joint Statistical Meeting, Orlando, 1995.

Hoelter, J.W. (1983), "The Analysis of Covariance Structures:
Goodness-of-Fit Indices," *Sociological Methods and Research*,
11, 325 -344.

James, L.R., Mulaik, S.A., and Brett, J.M. (1982),
*Causal Analysis: Assumptions, Models, and Data*,
Beverly Hills: Sage Publications, Inc.

Jennrich, R.I. (1987), "Tableau Algorithms for Factor Analysis
by Instrumental Variable Methods," *Psychometrika*,
52, 469 -476.

Jreskog, K.G. (1963),
*Statistical Estimation in Factor Analysis*,
Stockholm: Almqvist & Wicksell.

Jreskog, K.G. (1969),
"Efficient Estimation in Image Factor Analysis,"
*Psychometrika*, 34, 51 -75.

Jreskog, K.G. (1973), "A General Method for Estimating a
Linear Structural Equation System," in *Structural Equation
Models in the Social Sciences*, eds. A.S. Goldberger and O.D. Duncan,
New York: Academic Press.

Jreskog, K.G. (1978), "Structural Analysis of
Covariance and Correlation Matrices,"
*Psychometrika*, 43, 443 -477.

Jreskog, K.G. (1982), "Analysis of Covariance Structures,"
in *A Second Generation of Multivariate Analysis*,
ed. C. Fornell, New York: Praeger Publishers.

Jreskog, K.G. and Srbom, D. (1979),
*Advances in Factor Analysis and Structural Equation Modeling*,
Cambridge MA: Abt Books.

Jreskog, K.G. and Srbom, D. (1985),
*LISREL VI; Analysis of Linear Structural Relationships
by Maximum Likelihood, Instrumental Variables, and Least Squares*,
Uppsala: University of Uppsala.

Jreskog, K.G. and Srbom, D. (1988),
*LISREL 7: A Guide to the Program and Applications*,
Chicago, Illinois: SPSS Inc.

Keesling, J.W. (1972), "Maximum Likelihood Approaches to Causal Analysis," Ph.D. dissertation, Chicago, 1972.

Kmenta, J. (1971), *Elements of Econometrics*,
New York: Macmillan Publishing Co.

Krane, W.R. and McDonald, R.P. (1978),
"Scale Invariance and the Factor Analysis of Correlation
Matrices," *British Journal of Mathematical and Statistical
Psychology*, 31, 218 -228.

Lawley, D.N. and Maxwell, A.E. (1971), *Factor Analysis
as a Statistical Method*, New York: American Elsevier
Publishing Company.

Lee, S.Y. (1985), "On Testing Functional Constraints in
Structural Equation Models,"
*Biometrika*, 72, 125 -131.

Lee, S.Y. and Jennrich, R.I. (1979), "A Study of Algorithms
for Covariance Structure Analysis with Specific Comparisons
Using Factor Analysis,"
*Psychometrika*, 44, 99 -113.

Loehlin, J.C. (1987), *Latent Variable Models,
An Introduction to Factor, Path, and Structural Analysis*,
Hillsdale, NJ: L. Erlbaum Associates.

Long, J.S. (1983), *Covariance Structure Models,
an Introduction to LISREL*, Beverly Hills, CA:
SAGE Publications, Inc.

MacCallum, R. (1986), "Specification Searches in
Covariance Structure Modeling," *Psychological Bulletin*,
100, 107 -120.

Marsh, H.W., Balla, J.R. and McDonald, R.P. (1988),
"Goodness-of-Fit Indices in Confirmatory Factor Analysis.
The Effect of Sample Size,"
*Psychological Bulletin*, 103, 391 -410.

McArdle, J.J. (1980), "Causal Modeling Applied to
Psychonomic Systems Simulation,"
*Behavior Research Methods & Instrumentation*,
12, 193 -209.

McArdle, J.J. (1988), "Dynamic but Structural Equation
Modeling of Repeated Measures Data," in *The
Handbook of Multivariate Experimental Psychology*,
eds. J.R. Nesselroade and R.B. Cattell,
New York: Plenum Press.

McArdle, J.J. and Boker, S.M. (1986),
*RAMpath - Path Diagram Software*,
Denver: DATA Transforms, Inc.

McArdle, J.J. and McDonald, R.P. (1984), "Some
Algebraic Properties of the Reticular Action Model,"
*British Journal of Mathematical and Statistical Psychology*,
37, 234 -251.

McDonald, R.P. (1978), "A Simple Comprehensive Model
for the Analysis of Covariance Structures,"
*British Journal of Mathematical and Statistical Psychology*, 31, 59 -72.

McDonald, R.P. (1980), "A Simple Comprehensive Model for the
Analysis of Covariance Structures: Some Remarks on Applications,"
*British Journal of Mathematical and Statistical Psychology*, 33, 161 -183.

McDonald, R.P. (1984), "Confirmatory Models for Nonlinear
Structural Analysis," in *Data Analysis and Informatics*,
III, eds. E. Diday et al., North Holland: Elsevier Publishers.

McDonald, R.P. (1985), *Factor Analysis and Related Methods*,
Hillsdale, NJ: Lawrence Erlbaum Associates.

McDonald, R.P. (1989),
"An Index of Goodness-of-Fit Based on Noncentrality,"
*Journal of Classification*, 6, 97 -103.

McDonald, R.P. and Hartmann, W. (1992), "A Procedure for
Obtaining Initial Values of Parameters in the RAM Model,"
*Multivariate Behavioral Research*, 27, 57 -176.

McDonald, R.P. and Marsh, H.W. (1988), "Choosing a Multivariate Model: Noncentrality and Goodness of Fit," distributed paper.

McDonald, R.P., Parker, P.M., and Ishizuka, T. (1993),
"A Scale-Invariant Treatment of Recursive Path Models,"
*Psychometrika*, 58, 431 -443.

Mor, J.J. (1978),
"The Levenberg-Marquardt Algorithm:
Implementation and Theory," in *Numerical Analysis -Dundee 1977*,
ed. G.A. Watson, Lecture Notes in Mathematics 630,
Berlin: Springer-Verlag.

Mor, J.J. and Sorensen, D.C. (1983),
"Computing a Trust-Region Step,"
*SIAM J. Sci. Stat. Comput.*, 4, 553 -572.

Mulaik, S.A., James, L.R., Van Alstine, J., Bennett, N.,
Lind, S. and Stilwell, C.D. (1989),
"Evaluation of Goodness-of-Fit Indices for Structural Equation Models,"
*Psychological Bulletin*, 105, 430 -445.

Muthn, B.O. (1987),
LISCOMP: *Analysis of Linear
Structural Relations Using a Comprehensive Measurement Model*,
Mooresville IN: Scientific Software, Inc.

Polak, E. (1971), *Computational Methods in Optimization*,
New York: Academic Press, Inc.

Powell, J.M.D. (1977),
"Restart Procedures for the Conjugate Gradient Method,"
*Math. Prog.*, 12, 241 -254.

Powell, J.M.D. (1978a),
"A Fast Algorithm for Nonlinearly Constraint Optimization
Calculations," in *Numerical Analysis, Dundee 1977,
Lecture Notes in Mathematics 630*, ed. G.A. Watson,
Berlin: Springer Verlag, 144 -175.

Powell, J.M.D. (1978b),
"Algorithms for Nonlinear Constraints that Use Lagrangian
Functions," *Mathematical Programming*, 14, 224 -248.

Powell, M.J.D. (1982a),
"Extensions to Subroutine VF02AD," in *Systems Modeling
and Optimization, Lecture Notes In Control and Information
Sciences 38*, eds. R.F. Drenick and F. Kozin, Berlin: Springer Verlag,
529 -538.

Powell, J.M.D. (1982b),
"VMCWD: A Fortran Subroutine for Constrained Optimization,"
*DAMTP 1982/NA4*, Cambridge, England.

Powell, J.M.D. (1992),
"A Direct Search Optimization Method that Models the
Objective and Constraint Functions by Linear Interpolation,"
*DAMTP/NA5*, Cambridge, England.

Saris, W. (1982), "Linear Structural Relationships,"
in *A Second Generation of Multivariate Analysis*,
ed. C. Fornell, New York: Praeger Publishers.

Schmid, J. and Leiman, J.M. (1957),
"The Development of Hierarchical Factor Solutions,"
*Psychometrika*, 22, 53 -61.

Schwarz, G. (1978), "Estimating the Dimension of a Model,"
*Annals of Statistics*, 6, 461 -464.

Sclove, L.S. (1987), "Application of Model-Selection
Criteria to Some Problems in Multivariate Analysis,"
*Psychometrika*, 52, 333 -343.

Steiger, J.H. and Lind, J.C. (1980), "Statistically Based Tests for the Number of Common Factors," paper presented at the annual meeting of the Psychometric Society, Iowa City, IA.

Swaminathan, H. (1974), "A General Factor Model for the Description of Change," Report LR-74-9, Laboratory of Psychometric and Evaluative Research, University of Massachusetts.

Tucker, L.R. and Lewis, C. (1973),
"A Reliability Coefficient for Maximum Likelihood Factor
Analysis,"
*Psychometrika*, 38, 1 -10.

Wheaton, B., Muthn, B.,
Alwin, D.F., and Summers, G.F. (1977),
"Assessing Reliability and Stability in Panel Models,"
in *Sociological Methodology*, ed. D.R. Heise,
San Francisco: Jossey Bass.

Wiley, D.E. (1973), "The Identification Problem for Structural
Equation Models with Unmeasured Variables," in *Structural
Equation Models in the Social Sciences*, eds. A.S. Goldberger
and O.D. Duncan, New York: Academic Press.

Wilson, E.B. and Hilferty, M.M. (1931), "The Distribution of
Chi-Square," *Proceeding of the National Academy of Science*, 17, 694.

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