Index Numbers in Business Mathematics & Statistics

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课程名称:商业数学与统计中的指数(Index Numbers in Business Mathematics & Statistics) **课程概述:** 本课程旨在深入解析指数(Index Number)这一重要的统计工具,它能够衡量经济活动的变化,如同经济的“晴雨表”。通过指数,我们可以追踪物价涨跌、工业生产升降、进出口变化等关键经济指标。 指数是一个统计量,用于显示一个或一组变量相对于时间、地理位置或其他特征的变化。它通过将一个基准数值设定为100,然后按比例调整其他数值,来表示一系列数字的平均百分比变化。 **学生将学到:** * **基本概念与模型:** 理解指数的核心原理和不同模型。 * **常用计算方法:** * 简单加聚法(Simple Aggregative Method) * 价格相对平均法(Average of Price Relatives Method) * 费雪理想指数(Fishers Ideal Index Model) * 多尔比什法(Dorbish Method)、拉斯派尔法(Laspayer's Method)、帕歇法(Pasche's Method)、马歇尔法(Marshall Method) * **检验方法:** * 时间反向检验(Time Reversal Test) * 因素反向检验(Factor Reversal Test) * **高级概念:** * 指数的折算(Deflating) * 指数的衔接(Splicing) **课程应用:** 在商业领域,管理者们时刻关注各项数值随时间的变化,例如: * 原材料价格 * 员工和客户数量 * 年收入和利润 本课程将教授如何运用指数来描述这些变化,无论是涉及货币还是人力资源。掌握和运用不同的已发布指数系列,以及构建自己的指数系列,对于商业决策至关重要。

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An Index Number is s statistical measure which tells about the change in Economic activity. Index numbers helps us to know whether the prices are going up or down; industrial production is rising or falling; imports /exports are increasing or decreasing, etc. Thus, Index Numbers are rightly called as the Barometer of the economy. An Index Number is a statistical measure designed to show changes in variable or group of variables with respect to time, geographic location or other characteristic. Index numbers are indicators of average percentage change in a series of figures where one figure (called the base) is assigned an arbitrary value of 100, and other figures are adjusted in proportion to the base. In this course , the students will understand:The Basic concepts and Models of Index NumbersSimple Aggregative Method and Average of Price Relatives MethodFishers Ideal Index Model, Dorbish Method, Laspayer's Method, Pasche's Method, Marshall MethodTime Reversal Test and Factor Reversal TestAdvanced Concepts in Index Numbers like Deflating and SplicingIn business, managers are often concerned with the way in which values change over time:· prices paid for raw materials;· numbers of employees and customers,· annual income and profits, etc.In this course the students will learn how can the Index numbers be used to describe such changes. They are often concerned with money or manpower. It is necessary in business to be able to understand and manipulate the different published index series, and to construct your own index series.

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