Mathematical approach for predicting non-negative tristimulus values using the CAT02 chromatic adaptation transform

It has been reported that for certain colour samples, the chromatic adaptation transform CAT02 imbedded in the CIECAM02 colour appearance model predicts corresponding colours with negative tristimulus values (TSVs), which can cause problems in certain applications. To overcome this problem, a mathematical approach is proposed for modifying CAT02. This approach combines a non-negativity constraint for the TSVs of corresponding colours with the minimization of the colour differences between those values for the corresponding colours obtained by visual observations and the TSVs of the corresponding colours predicted by the model, which is a constrained non-linear optimization problem. By solving the non-linear optimization problem, a new matrix is found. The performance of the CAT02 transform with various matrices including the original CAT02 matrix, and the new matrix are tested using visual datasets and the optimum colours. Test results show that the CAT02 with the new matrix predicted corresponding colours without negative TSVs for all optimum colours and the colour matching functions of the two CIE standard observers under the test illuminants considered. However, the accuracy with the new matrix for predicting the visual data is approximately 1 CIELAB colour difference unit worse compared with the original CAT02. This indicates that accuracy has to be sacrificed to achieve the non-negativity constraint for the TSVs of the corresponding colours.

Psychometric properties of the Spanish adaptation of the School Attitude Assessment Survey-Revised

Background: The assessment of attitudes toward school with the objective of identifying adolescents who may be at risk of underachievement has become an important area of research in educational psychology, although few specific tools for their evaluation have been designed to date. One of the instruments available is the School Attitude Assessment Survey-Revised (SAAS-R). Method: The objective of the current research is to test the construct validity and to analyze the psychometric properties of the Spanish version of the SAAS-R. Data were collected from 1,398 students attending different high schools. Students completed the SAAS-R along with measures of the g factor, and academic achievement was obtained from school records. Results: Confirmatory factor analysis, multivariate analysis of variance and analysis of variance tests supported the validity evidence. Conclusions: The results indicate that the Spanish version of the SAAS-R is a useful measure that contributes to identification of underachieving students. Lastly, the results obtained and their implications for education are discussed.