Wrinkles induced by the use of smoothing procedures applied to serial growth data.

This paper elucidates the effects of moving average filters when applied to serial growth measurements. This is a question of interest because smoothing procedures are inherently part of a number of analytical methods presently employed in auxological analyses. Particular attention is paid to sequential growth data analysed to identify what has been described as pulsatile, saltation and stasis patterns or mini-growth spurts. When applied to pulsatile, or saltatory, time series data the process of smoothing itself creates artifactual temporal patterns in the time series data similar to previously described mini growth spurts while removing the actual pulsatile characteristics of the data. These observations illustrate that smoothing approaches add noise to time series data while removing meaningful patterns in the original data sequence. Analyses employing such approaches produce results that include waveforms or other fluctuations compatible with an underlying pulsatile driving mechanism, but do not necessarily reflect the temporal characteristics of the original biological process.

[1]  Michael L. Johnson Analysis of serial growth data , 1993, American journal of human biology : the official journal of the Human Biology Council.

[2]  M. Lampl,et al.  A case study of daily growth during adolescence: a single spurt or changes in the dynamics of saltatory growth? , 1993, Annals of human biology.

[3]  F. Yates Analysis of endocrine signals: the engineering and physics of biochemical communication systems. , 1981, Biology of reproduction.

[4]  Mikro-knemometry: An accurate technique of growth measurement in rats , 1995, Physiology & Behavior.

[5]  W. Sippell,et al.  Periodical changes of short term growth velocity ('mini growth spurts') in human growth. , 1988, Annals of human biology.

[6]  T. Gasser,et al.  Shape-invariant modelling of human growth. , 1980, Annals of human biology.

[7]  M. Togo,et al.  Time-series analysis of stature and body weight in five siblings. , 1982, Annals of human biology.

[8]  F. Boas THE GROWTH OF CHILDREN. , 1892, Science.

[9]  Physical activity, cardiorespiratory fitness, motor performance, and growth of senegalese pre‐adolescents , 1993, American journal of human biology : the official journal of the Human Biology Council.

[10]  F. K. Shuttleworth Sexual maturation and the physical growth of girls age six to nineteen. , 1937 .

[11]  J. Tanner Growth as a monitor of nutritional status , 1976, Proceedings of the Nutrition Society.

[12]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[13]  T. Gasser,et al.  A method for determining the dynamics and intensity of average growth. , 1990, Annals of human biology.

[14]  J. Buckler,et al.  The Measurement of Human Growth , 1985 .

[15]  M L Johnson,et al.  Why, when, and how biochemists should use least squares. , 1992, Analytical biochemistry.

[16]  M. Lampl,et al.  [15] – Methods for the Evaluation of Saltatory Growth in Infants , 1995 .

[17]  M. Lampl Evidence of saltatory growth in infancy , 1993, American journal of human biology : the official journal of the Human Biology Council.

[18]  M. Hermanussen,et al.  Children do not grow continuously but in spurts , 1993, American journal of human biology : the official journal of the Human Biology Council.

[19]  T. Teichmann,et al.  The Measurement of Power Spectra , 1960 .

[20]  M. Lampl,et al.  An example of variation and pattern in saltation and stasis growth dynamics. , 1998, Annals of human biology.

[21]  M. Lampl,et al.  Identifying saltatory growth patterns in infancy: A comparison of results based on measurement protocol , 1997, American journal of human biology : the official journal of the Human Biology Council.

[22]  J Karlberg,et al.  On the modelling of human growth. , 1987, Statistics in medicine.

[23]  R. Paludetto,et al.  Pulsatile weight increases in very low birthweight babies appropriate for gestational age. , 1990, Archives of disease in childhood.

[24]  M. Togo,et al.  Twice‐daily measurements of stature and body weight in two children and one adult , 1993, American journal of human biology : the official journal of the Human Biology Council.

[25]  H. Goldstein Measuring the stability of individual growth patterns. , 1981, Annals of human biology.

[26]  Miller Rl,et al.  On the analysis and presentation of longitudinally collected growth data. , 1970 .

[27]  M. L. Johnson,et al.  Analysis of discrete, time-sampled data using Fourier series method. , 1992, Methods in enzymology.

[28]  N. Cameron,et al.  The Methods of Auxological Anthropometry , 1978 .

[29]  W. A. Marshall Evaluation of growth rate in height over periods of less than one year , 1971, Archives of disease in childhood.

[30]  M. Johnson Evaluation and propagation of confidence intervals in nonlinear, asymmetrical variance spaces. Analysis of ligand-binding data. , 1983, Biophysical journal.

[31]  Artifacts of Fourier series analysis. , 1994, Methods in enzymology.

[32]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1969 .

[33]  I. Johnstone,et al.  Wavelet Shrinkage: Asymptopia? , 1995 .

[34]  R. Emde,et al.  Episodic growth in infancy: A preliminary report on length, head circumference, and behavior , 1983 .

[35]  C. Kowalski,et al.  Estimation of growth velocities from individual longitudinal data. , 1976, Growth.

[36]  M Lampl,et al.  Saltation and stasis: a model of human growth. , 1992, Science.

[37]  朝倉 利光 R. B. Blackman and J. W. Tukey: The Measurement of Power Spectra, Dover Publications, Inc., New York, 1958, 208頁, 13.5×16cm, $1.85 , 1964 .

[38]  M. Lampl,et al.  Is growth saltatory? The usefulness and limitations of frequency distributions in analyzing pulsatile data. , 1996, Endocrinology.

[39]  Michelle Lampl,et al.  Human growth patterns , 1993, American journal of human biology : the official journal of the Human Biology Council.