This analysis derives standard statistics for temperature and pressure at specific heights, indicating their reliability for meteorological applications.
Generally statistics derived from radiosonde observations relate to standard pressure surfaces. Occasionally they are required for particular heights. Equations are given whereby statistics for geopotential heights can be derived from those relating to pressure surfaces. Limited tests of these equations indicated that they give values close to those obtained from daily values at constant height. Also, where great accuracy is not necessary, the tests suggest that standard deviations of temperature and pressure for particular heights can be interpolated from the standard deviations at constant pressure.
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J.N. McRae (1959) studied this question.
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