Implementation and Applications of a Three-Round User Strategy for Improved Principal Axis Minimization
Journal Title: Journal of Applied Quantitative Methods - Year 2008, Vol 3, Issue 1
Abstract
This paper presents a three-round user strategy (EPM), extending the C implementation of Brent’s PRAXIS algorithm by Gegenfurtner. In a first round, EPM applies a multistart procedure for global optimization, randomly generating and evaluating multiple sets of start values drawn from weighted primary and secondary intervals. Using the parameter estimates of the smallest first round minimum, in a second and third round, EPM performs iterative minimization runs and applies an additional break-off criterion to improve and stabilize the approximated minimum and parameter estimates. Moreover, EPM increases the precision of the original PRAXIS implementation by a conversion from the double to the long double data type. This conversion is not trivial and even seen to be essential for minimizing a complex empirical function from psychometrics. Important special cases of EPM are discussed and promising strategies for the handling of EPM are proposed. EPM’s advantages over PRAXIS are illustrated using two different functions: a ‘well-behaved’ Rosenbrock function and an ‘illbehaved’ psychometric likelihood function.
Authors and Affiliations
Ali ÜNLÜ, Michael KICKMEIER-RUST
Keywords
Related Articles
- EP ID EP145169
- DOI -
- Views 88
- Downloads 0
Modelling Unemployment Rate Using Box-Jenkins Procedure
This paper aims to modelling the evolution of unemployment rate using the Box- Jenkins methodology during the period 1998-2007 monthly data. The empirical study relieves that the most adequate model for the unemployment...
Interactive Methods Used in Graduate Programs
Any professional act will lead to a significant change. How can one make students understand “managing change” as a consequence or as an intended objective? “DECISION IN CASCADE” – is a Management Computational Game for...
The Learning Paradox and the University
Universities are by their nature learning based organizations. They deliver knowledge to students through teaching processes. Students acquire knowledge through learning processes, from their professors and from other di...
A Forecasting Model with Consistent Adjustments for Anticipated Future Variations
Due to the limitation of most statistical forecasting models ignoring contextual information, judgmental adjustment is a widespread practice in business. However, judgmental adjustment still suffers with many kinds of bi...
Issues and Procedures in Adopting Structural Equation Modeling Technique
When applying structural equation modeling (SEM) technique for analytical procedures, various issues are involved. These issues may concern sample size, overall fit indices and approach. Initiates of SEM may find it some...