Exploratory study for structure of the multidimensional data and its application to the clinical data.

多维数据结构的探索性研究及其在临床数据中的应用。

• 批准号: 10680318
• 负责人: SATOH Kenichi
• 金额: $ 2.11万
• 依托单位: Hiroshima University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10680318/
• 关键词: growth courve; random effects; normal mixture distribution; mandibular bone; Repeated measurements; Growth curve models; Random effect model; Mandibular bone; Normal mixture model; 顎・顔面の成長; 顔面の成長

The unbalanced development of facial skeleton makes one's feature abnormal. The dental treatment is often carried out to such patients. In this study, we examine relationship between therapeutic effects and the growth of mandibular bone. The growth pattern of facial skeleton has a great individual variety. We realized the clinical problem as the following statistical problem : The classification of the unbalanced growth data considering random effects. We developed the statistical methods and the softwares to carry out data analysis effectively.The achievements of our study were summarized as follows.(1) The data base for the analysis was constructed. The items were longitudinal measurements of the length of various sites of the mandibular bone (by using x-ray photographs), the age at each examination and therapeutic effects.(2) The graphical software was developed to visualize the process of development of facial bone.(3) The Gompertz curve was fitted to an individual growth, and the estimated Gompertz parameters were classified with the k-means method to explore the outliers or unknown backgrounds that was supposed to give effect to the response variables.(4) The growth curve model with random effects were proposed. Individual response profiles were fitted by the polynomial regression model, and the fitted regression coefficients were classified based on the normal mixture model.(5) The software named "NKMeans" was developed to estimate normal mixture model. It is effective on data including missing values or outliers.

面部骨骼的不平衡发展使人的特征异常。牙科治疗通常是对此类患者进行的。在这项研究中，我们研究了治疗作用与下颌骨生长之间的关系。面部骨骼的生长模式具有很棒的个体品种。我们意识到临床问题是以下统计问题：考虑随机效应的不平衡生长数据的分类。我们开发了统计方法和软件来有效地进行数据分析。我们的研究成就总结如下。（1）构建了分析的数据库。 The items were longitudinal measurements of the length of various sites of the mandibular bone (by using x-ray photographs), the age at each examination and therapeutic effects.(2) The graphical software was developed to visualize the process of development of facial bone.(3) The Gompertz curve was fitted to an individual growth, and the estimated Gompertz parameters were classified with the k-means method to explore the outliers or unknown backgrounds that （4）提出了具有随机效应的生长曲线模型。通过多项式回归模型拟合了个体响应曲线，并根据正常混合模型对拟合的回归系数进行了分类。（5）开发了名为“ nkmeans”的软件以估计正常混合模型。它对包括缺失值或异常值在内的数据有效。