An analysis of variance of the pubertal and midgrowth spurts for length and width

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Abstract
Summary. Using data from the first Zurich Longitudinal Growth Study characteristics of the growth of six variables bihumeral width, biiliac width, standing height, sitting height, leg height and arm length are studied. The main interest is in differences between boys and girls, and across variables and in particular in whether there are sex differences that are specific for some variables. For each child and variable, individual velocity and acceleration curves are estimated using a kernal smoother. From these curves, parameters characterizing the midgrowth spurt (MS) and the pubertal spurt (PS) are estimated: timings, durations and intensities. The level of childhood velocity is used for characterizing early growth. These parameters are analysed using a repeated measures analysis of variance (ANOVA) to assess the statistical significance of differences between boys and girls and across variables. This necessitates some kind of standardization and two types of standardization are used here. The MS shows negligible or small differences between boys and girls, and the same is true for velocity in childhood. Differences across variables during the MS are much more pronounced: with respect to intensity, bihumeral width has an MS about six times more intense than height. The PS is later for boys (as is well known), and there are significant differences across variables: bihumeral width and sitting height are late while legs are early. With the exception of biiliac width, the duration of the PS (which has been subdivided into three phases early, middle and late) is slightly longer for boys for all variables: boys have a longer starting phase, the middle phase is about equal in length for both boys and girls, and girls have a slightly longer late phase. Leg height and height experience a PS of short duration while bihumeral and biiliac width experience a long one and these differences are highly statistically significant. For all variables, with the exception of biiliac width, boys have a more intense PS (in terms of maximal acceleration), even having adjusted for their larger adult size. Differences in intensity are also marked across variables, bihumeral width and sitting height having the highest intensity and legs the lowest. Differences between sexes and across variables are much smaller for the stopping intensity, characterized by maximal deceleration.