摘要
经典最小二乘准则下的方差分析要求观测值的正态随机误差之间是相互独立的,而实际遇到的测量数据经常并不满足这一条件。为了从广泛意义上更科学地研究和应用方差分析这一理论,提出了加权方差理论,导出和论证了相应的公式,并以实例讨论了它在地壳垂直运动分析中的应用。
In classical variance analysis with the adjustment of LS, the normal accidental error of observations must be independent, but the actual surveying data are often dependent.For studying and applying the variance analysis more scientifically in a broad sense, this paper puts forward the theory of weighted variance analysis and corresponding formulae are derived.Finally,the application of the theory and formulae to vertical crustal movements are discussed, and a practical example is presented.
出处
《地壳形变与地震》
CSCD
1996年第2期19-26,共8页
Crustal Deformation and Earthquake
基金
国家自然科学基金
关键词
地壳运动
数据处理
方差分析
垂直形变分析
Crustal movement, data processing, variance analysis, vertical deformation analysis.