The Curve-Fitting Problem
An Objectivist View
Bibliographic Data
| ID | 10707282 |
|---|---|
| Authors | Stanley A Mulaik (Georgia Institute of Technology, corresponding author) |
| Year | 2001 |
| Volume | 68 |
| Issue | 2 |
| Pages | 218-241 |
| Publication date | 2001-06-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1086/392874 |
| OpenAlex | W2056134987 |
| Language | EN |
| Citations received | 10 |
| References cited | 20 |
Model simplicity in curve fitting is the fewness of parameters estimated. I use a vector model of least squares estimation to show that degrees of freedom, the difference between the number of observed parameters fit by the model and the number of explanatory parameters estimated, are the number of potential dimensions in which data are free to differ from a model and indicate the disconfirmability of the model. Though often thought to control for parameter estimation, the AIC and similar indices do not do so for all model applications, while goodness of fit indices like chi-square, which explicitly take into account degrees of freedom, do. Hypothesis testing with prespecified values for parameters is based on a metaphoric regulative subject/object schema taken from object perception and has as its goal the accumulation of objective knowledge
Degrees of freedom (physics and chemistry) · Econometrics · Epistemology · Estimation theory · Goodness of fit · Machine learning · Object (grammar) · Objectivism · Schema (genetic algorithms) · Statistics · Applied Mathematics · Artificial Intelligence · Biomedical Text Mining and Ontologies · Computer Science · Data Visualization and Analytics · Mathematics · Philosophy and History of Science
Scientific Method in Practice
Longitudinal analysis of the role of perceived self-efficacy for self-regulated learning in academic continuance and achievement.
Model Specification Search in Correlated Factor Models Using Bee Swarm Optimization
Evaluating the use of structural equation modeling in online purchase intention research
Applying a racial lens to measures of school safety to examine Black youth perceptions and outcomes
Predictive Accuracy as an Achievable Goal of Science
AIC and Large Samples
On the Philosophy of Unsupervised Learning
Quantifying Parsimony in Structural Equation Modeling
Choosing the Optimal Number of Factors in Exploratory Factor Analysis
Metaphors We Live By
An index of goodness-of-fit based on noncentrality
Information Theory and an Extension of the Maximum Likelihood Principle
The contemporary theory of metaphor
Factor Analysis and AIC
Structural Equations with Latent Variables
A preliminary discourse on the study of natural philosophy.
The Body in the Mind
Multiple factor analysis
The Curve Fitting Problem
The Metaphoric Origins of Objectivity, Subjectivity, and Consciousness in The Direct Perception of Reality
The Curve Fitting Problem
Women, Fire, and Dangerous Things
How to Tell When Simpler, More Unified, or Less Ad Hoc Theories will Provide More Accurate Predictions
Choosing a multivariate model
Evaluation of goodness-of-fit indices for structural equation models
Alternative Ways of Assessing Model Fit
| Citations per year | 0.42 |
|---|---|
| Citation span | 2002 - 2026 (25) |
| Highly cited | No |