(*山東礦業(yè)學院地科系，泰安271019；
**中南工業(yè)大學資開系，長沙，410083)
摘 要: 以空間向量幾何理論為基礎(chǔ)，詳細地分析了Causs-Markov線性模型的幾何性質(zhì)；在實現(xiàn)了模型圖形化描述的基礎(chǔ)上，利用各解向量的幾何及統(tǒng)計性質(zhì)構(gòu)造出了不同情形下的統(tǒng)計檢驗方法和相應(yīng)的檢驗統(tǒng)計量，為全面、深入地研究和靈活運用該模型提出了一種簡潔直觀的數(shù)學方法。
關(guān)鍵字: 線性子空間 幾何特性 統(tǒng)計特性 約束條件 統(tǒng)計檢驗 統(tǒng)計量
（1.shandong Institute of Mining and Technology,Taian 271019;
2.Central-South University of Technology, Changsh 410083;
3.shandong Institute of Mining and Technology,Taian 271019）
Abstract:Based on the geometrical theory of spatial vectors,the geometrical features of a Gauss-Markov model are analysed in detail.Following the graphical description of the model,some statistics in different cases are established using their geometrical and statistical features,which presented a pithy and direct method for people to fully and deeply study and flexibly use the model.
Key words: linear subspace geometrical feature statistical feature constraint condition statistical test
