## Abstract A method is developed that caters for the application of correspondence analysis to two‐way contingency tables with one and two ordered sets of categories. The method involves calculating orthogonal polynomials of the type described by EMERSON (1968), and partitioning the chi‐square sta
Application of Prediction Analysis to Cross Classifications of Ordinal Data
✍ Scribed by Prof. Dr. Alexander von Eye; Prof. Dr. Jochen Brandtstädter
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 890 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
✦ Synopsis
Prediction analysis ( P A ) of cross classifications is characterized a8 a method for the analysis of local prediction hypothesee, that is, hypotheses that link particular predictor states to particular states of criteria. To evaluate the succeas of a prediction, P A compares the observed with an expected frequency distribution. The latter is estimated under the assumption of independence between predictors and criteria. When predictors of criteria have ordinal categories, the SUCC~ES of a prediction hypothesis is overestimated if there is a regreasion of the cell frequencies on the ranks of the variable categories. Using the method of log-linear models, i t is shown how ordinal categories can be taken into account in P A . Numerical examples are given from the areas of cognitive development and drug research.
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