Separating the Odds: Thresholds for Entropy in Logistic Regression

Abstract

Researchers are often reluctant to rely on classification rates because a model with favorable classification rates but poor separation may not replicate well. In comparison, entropy captures information about borderline cases unlikely to generalize to the population. In logistic regression, the correctness of predicted group membership is known, however, this information has not yet been utilized in entropy calculations. The purpose of this study was to, 1) introduce three new variants of entropy as approximate-model-fit measures, 2) establish rule-of-thumb thresholds to determine whether a theoretical model fits the data, and 3) investigate empirical Type I error and statistical power associated with those thresholds. Results are presented from two Monte Carlo simulations. Simulation results indicated that EFR-rescaled was the most representative of overall model effect size, whereas EFR provided the most intuitive interpretation for all group size ratios. Empirically-derived thresholds are provided.     

结合温熵图讨论热力学过程

用一种新的坐标研究热力学问题。使过程简单而且容易理解．并给出了建立新的坐标的大致方法．     

黑洞热力学关系式

发展应用量子统计与膜模型计算黑洞熵的方法,对黑洞熵产生的统计根源进一步研究,利用配分函数与系统内能的关系,确定出在积分中引入的参数s,然后再应用熵与配分函数的关系,求得黑洞熵应为视界面积的2/3.在此基础上进一步修改Bekenstein-Smarr公式,给出新的黑洞热力学第一定律表达式.     

一种新的广告效果评估方法——熵权双基点法

结合实例介绍了一种新的广告效果评估方法——熵权双基点法 .运用这一方法对各项信息进行无量纲化处理 ,计算出各项信息的权重 ,获得广告效果的准确评价 ,从而为企业选择符合广告目的的媒体组合提供科学参考     

应用耗散结构指导论办好学术刊物

社会组织只要有对外功能,就一定具有耗散结构系统的特征,形成耗散系统。分析学术刊物(学报)系统,具有耗散系统的特征。可以应用耗散结构系统的规律,指导办好高职院校学报。     

关子二维保面积映象的研究

本文研究了二维保面积映象的稳定周期轨道、同周期分岔、倍周期分岔及Kolm—Jogorov熵,发现周期N轨道的失稳曲线在局部区域互相交错和打结,得到了同周期分岔条件及区分三种同周期分岔类型的解析判据,和倍周期序列分岔率及标度变换因子,对描速映象混沌程度的Kolmogorov熵也进行了计算。     

Some nonlinear parameters of PP intervals of pulse main peaks

The PP intervals of pulse main peaks from healthy and unhealthy people(arrhythmia) have different nonlinear char-acteristics. In this paper,the extraction of PP intervals of pulse main peaks is achieved by picking up P peaks of pulse wave with wavelet transform. Furthermore,several nonlinear parameters(correlative dimensions,maximum Lyapunov exponents,com-plexity and approximate entropy) of the PP intervals of pulse main peaks extracted from normal and unhealthy pulse signals are calculated,with the results showing that these nonlinear parameters calculated from the main wave interval signals are helpful for analyzing human's health state and diagnosing heart diseases.     

Quantitative information measurement and application for machine component classification codes

Information embodied in machine component classification codes has internal relation with the probability distribution of the code symbol. This paper presents a model considering codes as information source based on Shannon＇s information theory. Using information entropy, it preserves the mathematical form and quantitatively measures the information amount of a symbol and a bit in the machine component classification coding system. It also gets the maximum value of information amount and the corresponding coding scheme when the category of symbols is fixed. Samples are given to show how to evaluate the information amount of component codes and how to optimize a coding system.     

熵概念的建立和发展

通过熵概念建立的回顾，简要地介绍了这一重要的物理概念在热力学理论、量子理论、信息论、系统论、生命学、宇宙学等现代学科中所起的重要作用．     

普里戈金时间观念探析

准确地理解时间，把握时间的本质，是当今科学哲学的一大基本问题。普里戈金的时间观念认为，宏观世界的时间存在具有方向性，是单向的、不可逆的。把握其关于时间之矢和可逆与不可逆之间对立统一的本质，具有一定的历史意义与现实启发价值。