data_anthro_for deposit.pdf

The WHO standards are available on the website of WHO (http://www.who.int/childgrowth/en/). You find there the software Anthro2005 for calculation of individual data (Anthro2005). For calculating the z-scores of the new standards the LMS procedure is used. The principle is to get from a table for a certain age and sex 3 values (LMS) which are put into a formula For example WAZ = ((weight/M)^L-1)/(L*S)) e.g.: Female, 9kg, 365 days => L = -0.2022, M = 8.9462, S = 0.12267 WAZ = ((9/M)^L-1)/(L*S) = ((9/8.9462)^-0.2022-1)/(-0.2022*0.12267) = 0.04885 Z-scores On the WHO website you find only the LMS values for each month. Wt L M S 9 -0.2022 8.9462 0.12267 0.048847178 To calculate the actual weight from the LSM statistics at any cut off point use the following formula: wt = M * ((Z * S * L) +1)^(1/L)Where Z = Zscore you are trying to obtainThis is the reverse of the formula to calculate WAZ etc.And will give the standard to more decimal places for interpolation [purposesI have taken 10 boys and 10 girls at 0.5 cm intervals from 60 to 110cm in height with weight for height mean at -1Z with SD or 1.0. These are in the sheet WFH_Population. For the simulation I have now added a random variable to the weight or the height in the POP_weight and the POP_height sheets.

世界卫生组织（WHO）标准可于其官网（http://www.who.int/childgrowth/en/）获取。其中提供了用于个体数据计算的Anthro2005软件。针对新标准的Z评分（Z-scores）计算采用LMS方法，其原理为：从对应表格中获取特定年龄与性别的3个参数（L、M、S），并将其代入公式进行计算。例如：WAZ = ((体重/M)^L - 1)/(L×S)。示例：女婴体重9kg、年龄365天，可得L=-0.2022、M=8.9462、S=0.12267，代入公式计算得：WAZ = ((9/8.9462)^-0.2022 - 1)/(-0.2022×0.12267) ≈0.04885。WHO官网仅提供月度LMS参数值，示例如下：
Wt L M S WAZ
9 -0.2022 8.9462 0.12267 0.048847178
若需基于LMS统计量，在任意截断点处计算实际体重，可使用如下逆公式：wt = M * ((Z * S * L) + 1)^(1/L)，其中Z为目标Z评分。该公式与WAZ等评分计算公式互为逆运算，可得到保留更多小数位的标准值以用于插值计算。本研究选取10名男童与10名女童，身高覆盖60~110cm区间，步长为0.5cm，且其身高别体重均值位于-1Z处，标准差为1.0。相关数据存储于WFH_Population工作表中。本次仿真中，研究人员已向POP_weight与POP_height工作表的体重、身高数据中加入随机变量。