Bailey B J
Faculty of Mathematical Studies, The University, Southampton, UK.
Ann Hum Biol. 1994 Jan-Feb;21(1):1-11. doi: 10.1080/03014469400003032.
If the height of a prepubertal child is measured at one time and again a year later, any decision about the child's growth should be based on the distributions of the later height and height velocity conditional on the value of the initial height. The standard charts for height and height velocity derived by Tanner, Whitehouse and Takaishi (TWT) (1966) can be used in this context provided a correction is subsequently made, either by calculation or by reference to a suitable table. Moreover, the data provided by TWT, on which the charts are based, can be used to show that, over a certain age-range, the correlation between successive 12-month heights of a child is greater than 0.9 and approaches 1 with increasing age. On the other hand, the correlation between the height at any age and the velocity over the ensuing 12 months is low, while the correlation between two successive 12-month velocities is so low as to make it reasonable to treat them as independent. One phenomenon that has been much observed is that a child who grows along the third centile for height seems to grow along the 25th-30th centile for velocity. This effect follows when a conditional velocity is plotted onto a chart giving the distribution of an unconditional velocity. There is, moreover, a slight regression back to the population mean from any age to the next; this has little effect on the mean height but a noticeable effect on the mean velocity.
如果在青春期前对儿童的身高进行一次测量,一年后再测一次,那么关于该儿童生长情况的任何判断都应基于以初始身高值为条件的后期身高和身高增长速度的分布情况。在这种情况下,可以使用由坦纳(Tanner)、怀特豪斯(Whitehouse)和高石(Takaishi)(TWT)(1966年)得出的身高和身高增长速度标准图表,前提是随后通过计算或参考合适的表格进行校正。此外,图表所依据的TWT提供的数据可用于表明,在一定年龄范围内,儿童连续12个月身高之间的相关性大于0.9,且随着年龄增长趋近于1。另一方面,任何年龄的身高与随后12个月的增长速度之间的相关性较低,而连续两个12个月增长速度之间的相关性则低到足以将它们视为相互独立。一个经常被观察到的现象是,身高沿第3百分位数生长的儿童,其生长速度似乎沿第25 - 30百分位数生长。当将条件增长速度绘制在给出无条件增长速度分布的图表上时,就会出现这种效应。此外,从任何一个年龄到下一个年龄存在轻微向总体均值的回归;这对平均身高影响不大,但对平均增长速度有明显影响。