其他标题：A Study of Growth and Development of Physical Fitness in Factor Space: On the Growth and Development of Physical Fitness of Elementary Children in Urban and Rural Areas
其他摘要：In the preceding paper, Research Journal of Physical Education 16-5, physical growth of rural school pupils was studied in the two dimensional component space. In this paper, the physical and motor development of elementary school children was investigated in the factor space, taking account of the differences in their residencial district and age (grade). The measures were divided into three categories; physique, organic function, and motor ability. The correlation matrix was computed with the pooled data of all grades in rural and urban schools in each variable category for each sex. The principal factor solution was applied to each correlation matrix, and the two factors corresponding to the largest and the second large eigenvalue were picked out and rotated in order to be interpreted. The factor space was constructed with these orthogonal factor axes. Then, the centroids and variance covariance matrices of grade-district groups were computed, and the 95% probability ellipses were computed and drawn in this factor space for each grade-district group. Actually, the motor ability can not be observed directly. Only one or a few test items were very often used to measure a certain sub-area of motor ability. As far as the motor ability is measured with performance test, it is more reasonable to think that several sorts of sub-area of motor ability contribute to such motor performance. Therefore, in order to measure a certain sub-area of motor ability, several test items which are validated in some way should be administered and the test result should be integrated to estimate such motor ability in some way. This seems to secure the greater degree of validity to measure the ability. This hypothesis led to the factor as the measure of sub-area of motor ability. Under this working hypothesis, the growth and development of physique, organic function and motor ability were investigated in the factor space as the ability space but not in the variable space.
