基于假设检验的附合网基准数据的可靠性分析

Compatibility Analysis of Datum Data of Annexed Network Based on Hypothesis Testing

附合网的基准数据对平差结果和精度有直接的影响。利用观测数据建立误差方程和利用已知数据建立基准方程,二者组合成适用于基准数据兼容性分析的附合网平差模型。通过计算有无基准数据时平差模型的残差平方和及其增量,构造了F检验统计量对基准方程进行检验,依此确定基准数据的可靠性,并通过测角网的算例证明了该方法的可行性和有效性。

The datum data of the combined network has a direct impact on the adjustment results and accuracy.An adjustment model of annexed network for the compatibility analysis of the datum data is combined by the error equation which is established by the observation data,and the datum equation which is established by the known data.By calculating the square sum and its increment of the residual error of the adjustment model with datum data,and the square sum and its increment of the residual error of the adjustment model without datum data,An F-test statistic is constructed to test the datum equation,and then the reliability of datum data is determined.The feasibility and effectiveness of the method are proved by an example of angle measurement network.