Exploratory Path Analysis With Applications in Ecology and Evolution

In this article, I first describe some recent developments in the identification of the structure of dependencies among variables in multivariate data relevant to exploratory path analysis. I then introduce a bootstrap modification of one important method (the SGS algorithm) that is designed to improve error rates of exploratory path analysis in the small data sets that are typical of studies in ecology and evolution. Monte Carlo results indicate that this modified technique can find path models that are close to the true model even in very small data sets. The bootstrapped SGS algorithm is then applied to a previously published data set involving attributes affecting seed dispersal in St. Lucie's cherry.

[1]  J. H. Steiger.  Structural Model Evaluation and Modification: An Interval Estimation Approach. , 1990, Multivariate behavioral research.

[2]  R. Mitchell,et al.  Testing evolutionary and ecological hypotheses using path analysis and structural equation modelling , 1992 .

[3]  Bill Shipley,et al.  Structured interspecific determinants of specific leaf area in 34 species of herbaceous angiosperms , 1995 .

[4]  Frank Harary,et al.  Graphical enumeration , 1973 .

[5]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[6]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[7]  Scott R. Eliason.  Maximum likelihood estimation: Logic and practice. , 1994 .

[8]  Joel G. Kingsolver,et al.  Path analyses of selection. , 1991, Trends in ecology & evolution.

[9]  Richard Scheines,et al.  Simulation Studies of the Reliability of Computer-Aided Model Specification Using the TETRAD II, EQS, and LISREL Programs , 1990 .

[10]  A. Satorra,et al.  Power of the likelihood ratio test in covariance structure analysis , 1985 .

[11]  F. Bookstein,et al.  A PATH‐ANALYTIC MODEL FOR THE MEASUREMENT OF SELECTION ON MORPHOLOGY , 1989, Evolution; international journal of organic evolution.

[12]  B. Efron.  The jackknife, the bootstrap, and other resampling plans , 1987 .

[13]  Pedro Jordano,et al.  Frugivore‐Mediated Selection on Fruit and Seed Size: Birds and St. Lucie's Cherry, Prunus Mahaleb , 1995 .

[14]  Ching Chun Li.  Path Analysis: A Primer , 1977 .

[15]  Richard Scheines,et al.  Discovering Causal Structure: Artificial Intelligence, Philosophy of Science, and Statistical Modeling , 1987 .

[16]  Peter M. Bentler,et al.  EQS : structural equations program manual , 1989 .

[17]  P. Bentler,et al.  Model Modification in Covariance Structure Modeling: A Comparison among Likelihood Ratio, Lagrange Multiplier, and Wald Tests. , 1990, Multivariate behavioral research.