The Minimal Detectable Displacement (MDD) is an important measure of monitoring networks sensitivity to displacements. In addition to the accuracy criteria, it is used as a detectability criterion in the optimal design of such networks. The paper examines whether the MDD provides grounds for verifying the correctness of the confidence, and the significance thresholds applied in the analyses of the determined displacements. According to our knowledge, the task so formulated has not yet been the subject of research presented in the literature in the field of geodetic determination of displacements. Hence, the approach presented here can be regarded as a new proposal extending the application area of the MDD. The investigations are focused on a probabilistic aspect of combining confidence and detectability as well as significance and detectability by the superimposition of the corresponding ellipsoids and their joint analysis. An initial research result is the diagrams showing a significance index and a non-centrality parameter as functions of the rank of the covariance matrix for displacements and also of system redundancy for specified values of Type I and Type II error probabilities. The diagrams, together with the theoretical basis created within the research, made it possible to analyse and evaluate the support by Minimal Detectable Displacement in confidence region determination and significance test of displacements. Based on the analysis of MDD support, two options of modifying the confidence and significance thresholds related to single point displacements are proposed for practical use.

最小可检测位移 (MDD) 是监测网络位移敏感性的重要措施。除了准确性标准外，它还用作此类网络优化设计中的可检测性标准。本文检查了 MDD 是否为验证置信度的正确性提供了依据，以及在确定的位移分析中应用的显着性阈值。据我们所知，如此制定的任务尚未成为大地测量位移领域文献中提出的研究主题。因此，这里提出的方法可以被视为扩展 MDD 应用领域的新提议。研究的重点是通过叠加相应的椭球及其联合分析，将置信度和可检测性以及重要性和可检测性相结合的概率方面。最初的研究结果是显示作为位移协方差矩阵秩的函数的显着性指数和非中心参数的图表，以及 I 类和 II 类错误概率的指定值的系统冗余的函数。这些图表与研究中创建的理论基础一起，使得分析和评估最小可检测位移在位移的置信区域确定和显着性检验中的支持成为可能。基于对MDD支持的分析，