The representation of three-way proximity data by single and multiple tree structure models

Models for the representation of proximity data (similarities/dissimilarities) can be categorized into one of three groups of models: continuous spatial models, discrete nonspatial models, and hybrid models (which combine aspects of both spatial and discrete models). Multidimensional scaling models and associated methods, used for thespatial representation of such proximity data, have been devised to accommodate two, three, and higher-way arrays. At least one model/method for overlapping (but generally non-hierarchical) clustering called INDCLUS (Carroll and Arabie 1983) has been devised for the case of three-way arrays of proximity data. Tree-fitting methods, used for thediscrete network representation of such proximity data, have only thus far been devised to handle two-way arrays. This paper develops a new methodology called INDTREES (for INdividual Differences in TREE Structures) for fitting various(discrete) tree structures to three-way proximity data. This individual differences generalization is one in which different individuals, for example, are assumed to base their judgments on the same family of trees, but are allowed to have different node heights and/or branch lengths.We initially present an introductory overview focussing on existing two-way models. The INDTREES model and algorithm are then described in detail. Monte Carlo results for the INDTREES fitting of four different three-way data sets are presented. In the application, a single ultrametric tree is fitted to three-way proximity data derived from intention-to-buy-data for various brands of over-the-counter pain relievers for relieving three common types of maladies. Finally, we briefly describe how the INDTREES procedure can be extended to accommodate hybrid modelling, as well as to handle other types of applications.     

一种铂热电阻测温电路参数的计算方法

提出用加权最小二乘法计算一种正反馈放大电路的参数，用以线性化铂热电阻温度传感器，这种算法使用简单、计算速度快、精度高。应用此法计算的电路参数使铂热电阻在－２００℃－＋６５０℃温度范围内线性化精度达０．０５８％ＦＳＲ。     

多元线性回归分析方法在计划决策系统中的运用

本文在计划决策的综合信息系统基础上，建立了预测年销售额的多元线性回归分析的数学模型，导出预测的回归方程。编制了计算机程序，完成了计算，并对结果进行了讨论。     

剑杆织机打纬引纬系统的动平衡研究

本文重点进行了剑杆织机牵连式打纬引纬系统的动平衡研究.文中计算了1511普及型剑杆织机的六杆打纬引纬系统的惯性力和惯性力矩,并用最小二乘法对其进行动平衡计算.计算结果表明:平衡后系统的惯性力下降10%,惯性力矩没有增加,效果良好。     

AA(1)的不变量

给出了广义逆A^ 的一种计算方法及AA^[1]的最小多项式、行列式、Smith标准形等。     

一种新的多点法及其在应力强度因子计算中的应用

本文提出了一种简捷的三参数多点法,即以裂纹真实方向与测量方向之间的夹角为未知参数的多点法,从而较好地解决了Sanford多点法在裂纹定位不准时计算K_1所带来的误差。该法不仅计算简便,而且具有较高的精度。     

逸出功实验中数据处理的最小二乘法与作图法比较

本文以钨的逸出功实验为例,比较了实验数据处理的作图法与最小二乘法,通过微机处理数据,较详细地对最小二乘法进行了回归分析。作者认为,该法在物理实验课的方法训练中应占有重要地位。     

单大环与单小环的结构

本文给出了单大环与单小环的结构。     

边角联合权问题的探索

给出了边角测量网中边角误差的理论关系和新的定权方法，比较合理地解决了边角误差在平差听分配问题，完善并补充了现代条件下的最小二乘法原理。     

利用JAVA语言处理生化实验数据的探索

在生化实验中，往往要测量大量的实验数据，制作标准曲线或各种参数的变化曲线，而对这些数据的计算、处理既费时又费力．本课题用计算机JAVA语言编写程序，利用最小二乘法，研究对实验数据的处理，进而快速、便捷地制作标准曲线或各种参数的变化曲线．通过与EXCEL法进行比较，初步确定这是一种比较好的优化实验数据的处理方法．