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5.8.1 Stock Price Index: Big Family 股票价格指数:大家庭课程教案、知识点、字幕

同学们大家好
Hello, everyone

欢迎回到课堂
Welcome back to class

今天我们要讲的是指数的第七讲
Today let's begin the seventh lesson about indexes

股票价格指数
-- Stock Market Indexes

在日常的生活里边
In daily life

如果我们经常会听一些经济新闻的话
If we always listen to some economic news

那么我想在经济新闻里边
I think in economic news

我们时不时地可能会听到
We may hear from time to time

比如道琼斯工业股票价格指数
reports on such indexes

比如上证综合指数
as Dow Jones Industrial Average

比如深证成份指数
Shanghai Composite Index

这样的一些指数的播报了
ShenZhen Stock Exchange Component Index

所以接下来的这一讲
So in this lesson

我准备简单地把股票价格指数
I will simply introduce stock price indexes

以及一些常用的股票价格指数
and some common stock price indexes

给大家做一个介绍
to you

首先我们来看一下
First of all, let's take a look at

股票价格指数的概念
the concept of stock price indexes

股票价格指数是指运用统计学中
An stock price index means

指数方法编制而成的
an index compiled by an index method in statistics

反映股市中总体价格或者某类股票
to reflect the trend of the overall price

价格变动的走势的指标
or price change of a certain stock in the stock market

通常它的公式是用报告期股价水平
Usually, its formula is Stock Price Level in the Report Period

除以基期股价水平
÷ Stock Price Level in the Base Period

来乘以基期指数值
×Base Period Index Value

通常这个基期指数值
Usually we may set this base period index value

我们可能会设定为一百或者是一千点
to 100 points or 1000 points

我们通常说股票价格指数的时候
When we mention a stock price index

我们都不是说百分之多少多少
we do not refer to a percentage usually

我们都说多少点
but mean a certain number of points

所以其实是把百分数是去掉了的
So the percentage is removed

它表明的是股票市场价格水平
It shows the relative number of

变动的相对数
price change in the stock market

那股票价格指数如果按照
According to

股市涵盖股票数量
the number and categories of

和类别的不同
stocks covered by stock markets

我们可以把它分为这么三种
stock price indexes can be classified into three types

一 综合指数
1. Composite indexes

二 成份指数
2. Component indexes

三 分类指数
3. Sub-indexes

比如我们的上海证券交易所
For example, composite indexes

编制的叫综合指数
are compiled by Shanghai Stock Exchange

而常用的深证证券交易所的
while common component indexes

叫成份指数
are compiled by Shenzhen Stock Exchange

还有一些是分类指数
In addition

比如我们说道琼斯工业股票价格指数
There are sub-indexes

那么它就是分类了
such as the Dow Jones Industrial Average

它只包含工业所对应的股票了
They only contain the stocks corresponding to industries

它的编制方法
Their compilation

一般有下面这么几种
are generally made in the following methods

第一种 简单算数平均法
The first method is the simple arithmetic average

简单算术平均法是指先对
simple arithmetic average are based on

每一种股票的波动计算出来
the fluctuations of various stocks

然后对它进行简单算术平均
that has been calculated first

所以它是先算个体的价格指数
So individual price indexes should be calculated first

然后再将它简单算术进行平均
and then are averaged by the simple arithmetic method

第二 可以使用综合平均法
The second method is the compound average

从式子上来看它是(公式如上)
From the formula (as above), it is

那这种情况
In this case

这个式子看起来非常类似于
this formula looks very similar to

综合指数的算法
the calculation formula of composite indexes

只不过它没有权数
Because it has no weight

所以我们把它称之为一个综合平均法
We call it compound average

第三 加权综合法
The third method is weighted integration

加权综合法里边具体地
Weighted integration specifically includes

又可以分解为四个不同的算法
four different algorithms

第一个算法我们可以看一下
First of all, let's take a look at the first algorithm

∑p{\fs8}1{\r}q{\fs8}0{\r}除以∑p{\fs8}0{\r}q{\fs8}0{\r}
∑p{\fs8}1{\r}q{\fs8}0{\r} ÷ ∑p{\fs8}0{\r}q{\fs8}0{\r}

这不就是拉氏指数吗
Isn't that the Laspeyres index

对不对
is it

那q{\fs8}0{\r}代表的是基期的交易量
Then q{\fs8}0{\r} represents the trading volume in the base period

第二 也可以用帕氏指数的形式来计算
Second, we can use the Paasche index for calculation

∑p{\fs8}1{\r}q{\fs8}1{\r}除以∑p{\fs8}0{\r}q{\fs8}1{\r}
∑p{\fs8}1{\r}q{\fs8}1{\r} ÷ ∑p{\fs8}0{\r}q{\fs8}1{\r}

q{\fs8}1{\r}此刻代表报告期的交易量
q{\fs8}1{\r} here represents the trading volume in the report period

那它就是一个帕氏指数的算法了
so it's the algorithm of Paasche index

第三 我也可以利用∑p{\fs8}1{\r}w{\fs8}1{\r}
Third, we can use the following formula

除以∑p{\fs8}0{\r}w{\fs8}1{\r}的形式来计算
∑p{\fs8}1{\r}w{\fs8}1{\r} ÷∑p{\fs8}0{\r}w{\fs8}1{\r}

此刻w充当权数
Here w acts as weight

代表的是报告期的发行量
representing the circulation in the report period

注意刚才前面是报告期的交易量
Please note the trading volume in the report period we mentioned just now

所以在我们选择权数的时候
So when we choose the weight

可以是交易量也可以是发行量
it can be trading volume or circulation

第四 还可以使用几何平均的方法
Fourth, we can use the geometric average

那么这个几何平均注意
Here we should pay attention to

它被平均的对象
the object on which the geometric average is based

一个是拉氏指数 一个是帕氏指数
One is Laspeyres index and the other is Paasche index

它就相当于是拉氏指数
It's equivalent to the mean of Laspeyres index

和帕氏指数的平均
and Paasche index

那这个式子的话它算出来的数字
In this way, the number calculated according to this formula

就既不会很大也不会很小
will not be very big or small

有一个折中的作用
It has a compromise effect

这是四种常用的加权综合法
These are four commonly used weighted integration methods

目前在全球各个地区的
At present

证券交易市场上面
The methods adopted by stock exchanges in all regions of the world

采用的方法各不相同
are different

它们所对应的基期也各不相同
So their corresponding base periods are also different

同学们 刚才我们简单地把股票价格指数的
Students, just now I simply introduced

计算公式介绍给大家了
the calculation formulas for stock price indexes to you

目前 在世界各地有许多著名的股票价格指数
There are many famous stock price indexes around the world

如果大家经常看
If you often watch

中央电视台财经频道的节目
the programs shown on CCTV financial channel

就会在财经新闻中听到
then you will hear from financial news

比如道琼斯工业股票价格指数
such names as

标普500指数 纳斯达克综合指数
Dow Jones Industrial Average

英国金融时报股价指数
S&P 500 Index, Nasdaq Composite Index

日经股价指数 香港恒生指数等等
FTSE-100

这样的一些名字
Nikkei Stock Average, HSI, etc.

在我国大陆
In mainland China

也有几个大家耳熟能详的股价指数
several stock price indexes are familiar to everyone

如上证综合指数 深证成份指数
such as the Shanghai Composite Index and Shenzhen Stock Exchange Component Index

沪深300指数等
Shanghai and Shenzhen 300 Index, etc

这些指数的计算方法
The calculation methods for these indexes

和对比的基期都各不相同
and their corresponding base periods are different

同学们对股票价格指数的内容感兴趣的话
If you are interested in stock price indexes

可以在本讲的知识拓展中
You can read about them

阅读相关内容
in the knowledge extension of this lesson

对股价指数有一个更加详细的了解
to have a more detailed understanding of stock indexes

我们这里就不再一一介绍它们的内容
Here I will not introduce them more

同学们 到这里为止
Students, so far

指数的知识我们就学习的差不多了
we've learned almost all about indexes

我们稍微来总结一下
Let's summarize

通过这一章的学习
the knowledge points we have learned

我们都学到了哪一些知识点
from this chapter

第一 我们学习了指数的概念
First of all, we have learned the concept of indexes

有广义的 有狭义的
both in broad sense and in narrow sense

第二 我们学习了指数的分类
Second, we have learned the classification of indexes

有很多不同的分类标准
Different standards of classification

产生了不同的指数
lead to different indexes

我们学习了指数的编制方法
Besides, we have learned the compilation of indexes

总指数的编制方法
General indexes

分为综合指数和平均数指数两种形式
can be divided into composite indexes and average number indexes

综合指数的特点是先综合后对比
The characteristic of composite indexes is synthesis before comparison

它是我们编制指数的基本原理
which is the basic principle of index compilation

那一定要记住的是数量指标指数
Unforgettably, quantity index numbers

用拉氏指数来编制
are compiled through Laspeyres index

它的同度量因素被固定在基期
and their isometric factors are fixed at the base period

而质量指标指数用帕氏指数来编制
while quality index numbers are compiled through Paasche index

它的同度量因素被固定在报告期
and their isometric factors are fixed at the report period

这是我们要注意的核心的原则
This is the core principle we should pay attention to

平均数指数主要是由综合指数
Average number indexes are mainly transformed from

变形来得到的
composite indexes

数量指标指数拉氏指数变形以后
Quantity index numbers are transformed through Laspeyres index

是加权算术平均数指数
into weighted arithmetic average indexes

质量指标指数 帕氏指数
Quality index numbers are transformed through Paasche index

变形以后得到的是加权调和
into weighted

平均数指数
harmonic mean number indexes

第三 我们还学习了质量
Third, we have also learned

平均指标指数
quality average index numbers

最后我们还学习了平均指标指数
Finally, we have learned average index numbers

它反映的是平均水平的变动
They reflect changes in the average

在平均指标指数里边我们学了
We learned in average index numbers

可变构成指数
variable composition indexes

结构影响指数和固定构成指数
structural impact indexes and invariable composition indexes

通过前面的学习
Through the previous study

我们也可以把这三个指数
we can also regard these three indexes

看成是综合指数里边三个指数的变形
as the transformed forms of three indexes consisting of composite indexes

当然最后这些指数之间
Of course, in the end

都具有某种的数量关系
these indexes all are quantitatively related

可以形成指数体系
and can form index systems

可以进行因素分析
and be decomposed for factor analysis

这就是从头到尾我们所学习的
That's all about indexes

指数的内容
we have learned from beginning to end

希望这些内容对大家有所帮助
I hope these contents can help you

谢谢
Thanks

Learn Statistics with Ease课程列表:

Chapter 1 Data and Statistics

-Introduction

-1.1 Applications in Business and Economics

--1.1.1 Statistics application: everywhere 统计应用:无处不在

-1.2 Data、Data Sources

--1.2.1 History of Statistical Practice: A Long Road 统计实践史:漫漫长路

-1.3 Descriptive Statistics

--1.3.1 History of Statistics: Learn from others 统计学科史:博采众长

--1.3.2 Homework 课后习题

-1.4 Statistical Inference

--1.4.1 Basic research methods: statistical tools 基本研究方法:统计的利器

--1.4.2 Homework课后习题

--1.4.3 Basic concepts: the cornerstone of statistics 基本概念:统计的基石

--1.4.4 Homework 课后习题

-1.5 Unit test 第一单元测试题

Chapter 2 Descriptive Statistics: Tabular and Graphical Methods

-Statistical surveys

-2.1Summarizing Qualitative Data

--2.1.1 Statistical investigation: the sharp edge of mining raw ore 统计调查:挖掘原矿的利刃

-2.2Frequency Distribution

--2.2.1 Scheme design: a prelude to statistical survey 方案设计:统计调查的前奏

-2.3Relative Frequency Distribution

--2.3.1 Homework 课后习题

-2.4Bar Graph

--2.4.1 Homework 课后习题

-2.6 Unit 2 test 第二单元测试题

Chapter 3 Descriptive Statistics: Numerical Methods

-Descriptive Statistics: Numerical Methods

-3.1Measures of Location

--3.1.1 Statistics grouping: from original ecology to systematization 统计分组:从原生态到系统化

--3.1.2 Homework 课后习题

-3.2Mean、Median、Mode

--3.2.1 Frequency distribution: the initial appearance of the overall distribution characteristics 频数分布:初显总体分布特征

--3.2.2 Homework 课后习题

-3.3Percentiles

--3.3 .1 Statistics chart: show the best partner for data 统计图表:展现数据最佳拍档

--3.3.2 Homework 课后习题

-3.4Quartiles

--3.4.1 Calculating the average (1): Full expression of central tendency 计算平均数(一):集中趋势之充分表达

--3.4.2 Homework 课后习题

-3.5Measures of Variability

--3.5.1 Calculating the average (2): Full expression of central tendency 计算平均数(二):集中趋势之充分表达

--3.5.2 Homework 课后习题

-3.6Range、Interquartile Range、A.D、Variance

--3.6.1 Position average: a robust expression of central tendency 1 位置平均数:集中趋势之稳健表达1

--3.6.2 Homework 课后习题

-3.7Standard Deviation

--3.7.1 Position average: a robust expression of central tendency 2 位置平均数:集中趋势之稳健表达2

-3.8Coefficient of Variation

--3.8.1 Variance and standard deviation (1): Commonly used indicators of deviation from the center 方差与标准差(一):离中趋势之常用指标

--3.8.2 Variance and Standard Deviation (2): Commonly Used Indicators of Deviation Trend 方差与标准差(二):离中趋势之常用指标

-3.9 unit 3 test 第三单元测试题

Chapter 4 Time Series Analysis

-Time Series Analysis

-4.1 The horizontal of time series

--4.1.1 Time series (1): The past, present and future of the indicator 时间序列 (一) :指标的过去现在未来

--4.1.2 Homework 课后习题

--4.1.3 Time series (2): The past, present and future of indicators 时间序列 (二) :指标的过去现在未来

--4.1.4 Homework 课后习题

--4.1.5 Level analysis: the basis of time series analysis 水平分析:时间数列分析的基础

--4.1.6Homework 课后习题

-4.2 The speed analysis of time series

--4.2.1 Speed analysis: relative changes in time series 速度分析:时间数列的相对变动

--4.2.2 Homework 课后习题

-4.3 The calculation of the chronological average

--4.3.1 Average development speed: horizontal method and cumulative method 平均发展速度:水平法和累积法

--4.3.2 Homework 课后习题

-4.4 The calculation of average rate of development and increase

--4.4.1 Analysis of Component Factors: Finding the Truth 构成因素分析:抽丝剥茧寻真相

--4.4.2 Homework 课后习题

-4.5 The secular trend analysis of time series

--4.5.1 Long-term trend determination, smoothing method 长期趋势测定,修匀法

--4.5.2 Homework 课后习题

--4.5.3 Long-term trend determination: equation method 长期趋势测定:方程法

--4.5.4 Homework 课后习题

-4.6 The season fluctuation analysis of time series

--4.6.1 Seasonal change analysis: the same period average method 季节变动分析:同期平均法

-4.7 Unit 4 test 第四单元测试题

Chapter 5 Statistical Index

-Statistical indices

-5.1 The Conception and Type of Statistical Index

--5.1.1 Index overview: definition and classification 指数概览:定义与分类

-5.2 Aggregate Index

--5.2.1 Comprehensive index: first comprehensive and then compare 综合指数:先综合后对比

-5.4 Aggregate Index System

--5.4.1 Comprehensive Index System 综合指数体系

-5.5 Transformative Aggregate Index (Mean value index)

--5.5.1 Average index: compare first and then comprehensive (1) 平均数指数:先对比后综合(一)

--5.5.2 Average index: compare first and then comprehensive (2) 平均数指数:先对比后综合(二)

-5.6 Average target index

--5.6.1 Average index index: first average and then compare 平均指标指数:先平均后对比

-5.7 Multi-factor Index System

--5.7.1 CPI Past and Present CPI 前世今生

-5.8 Economic Index in Reality

--5.8.1 Stock Price Index: Big Family 股票价格指数:大家庭

-5.9 Unit 5 test 第五单元测试题

Chapter 6 Sampling Distributions

-Sampling and sampling distribution

-6.1The binomial distribution

--6.1.1 Sampling survey: definition and several groups of concepts 抽样调查:定义与几组概念

-6.2The geometric distribution

--6.2.1 Probability sampling: common organizational forms 概率抽样:常用组织形式

-6.3The t-distribution

--6.3.1 Non-probability sampling: commonly used sampling methods 非概率抽样:常用抽取方法

-6.4The normal distribution

--6.4.1 Common probability distributions: basic characterization of random variables 常见概率分布:随机变量的基本刻画

-6.5Using the normal table

--6.5.1 Sampling distribution: the cornerstone of sampling inference theory 抽样分布:抽样推断理论的基石

-6.9 Unit 6 test 第六单元测试题

Chapter 7 Confidence Intervals

-Parameter Estimation

-7.1Properties of point estimates: bias and variability

--7.1.1 Point estimation: methods and applications 点估计:方法与应用

-7.2Logic of confidence intervals

--7.2.1 Estimation: Selection and Evaluation 估计量:选择与评价

-7.3Meaning of confidence level

--7.3.1 Interval estimation: basic principles (1) 区间估计:基本原理(一)

--7.3.2 Interval estimation: basic principles (2) 区间估计:基本原理(二)

-7.4Confidence interval for a population proportion

--7.4.1 Interval estimation of the mean: large sample case 均值的区间估计:大样本情形

--7.4.2 Interval estimation of the mean: small sample case 均值的区间估计:小样本情形

-7.5Confidence interval for a population mean

--7.5.1 Interval estimation of the mean: small sample case 区间估计:总体比例和方差

-7.6Finding sample size

--7.6.1 Determination of sample size: a prelude to sampling (1) 样本容量的确定:抽样的前奏(一)

--7.6.2 Determination of sample size: a prelude to sampling (2) 样本容量的确定:抽样的前奏(二)

-7.7 Unit 7 Test 第七单元测试题

Chapter 8: Hypothesis Tests

-Hypothesis Tests

-8.1Forming hypotheses

--8.1.1 Hypothesis testing: proposing hypotheses 假设检验:提出假设

-8.2Logic of hypothesis testing

--8.2.1 Hypothesis testing: basic ideas 假设检验:基本思想

-8.3Type I and Type II errors

--8.3.1 Hypothesis testing: basic steps 假设检验:基本步骤

-8.4Test statistics and p-values 、Two-sided tests

--8.4.1 Example analysis: single population mean test 例题解析:单个总体均值检验

-8.5Hypothesis test for a population mean

--8.5.1 Analysis of examples of individual population proportion and variance test 例题分析 单个总体比例及方差检验

-8.6Hypothesis test for a population proportion

--8.6.1 P value: another test criterion P值:另一个检验准则

-8.7 Unit 8 test 第八单元测试题

Chapter 9 Correlation and Regression Analysis

-Correlation and regression analysis

-9.1Correlative relations

--9.1.1 Correlation analysis: exploring the connection of things 相关分析:初探事物联系

--9.1.2 Correlation coefficient: quantify the degree of correlation 相关系数:量化相关程度

-9.2The description of regression equation

--9.2.1 Regression Analysis: Application at a Glance 回归分析:应用一瞥

-9.3Fit the regression equation

--9.3.1 Regression analysis: equation establishment 回归分析:方程建立

-9.4Correlative relations of determination

--9.4.1 Regression analysis: basic ideas

--9.4.2 Regression analysis: coefficient estimation 回归分析:系数估计

-9.5The application of regression equation

--9.5.1 Regression analysis: model evaluation 回归分析:模型评价

5.8.1 Stock Price Index: Big Family 股票价格指数:大家庭笔记与讨论

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