A STUDY ON PHYSICAL GROWTH AND DEVELOPMENT IN ABILITY SPACE EXTRACTED AS FACTOR

Physical ability was extracted as orthogonal factor from variables chosen; physique and muscular strength in this paper. The abilities extracted were estimated with factor score determined by a certain linear combination of variables significant to the factor extracted. Their growth and development was discussed through investigating in the distribution of abilities extracted for each grade under the assumption that ability is distributed as normal. The overlaps in distribution of different grades were evaluated by integral and they were used as one of indicators for growth and development. Then in two dimensional ability space the relative growth and development was discussed through investigating the configuration of ellipses that showed the grade groups in two dimensional space.