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我们讲的就是它的研究方法
Today we are going to discuss the research methods in statistics
统计学的研究方法
There are a few[many] commonly used
它有多个
research methods in statistics
有的人讲三个
Some say there are three
有的人讲四个
while some say four
但这几个是相同的
But some of them are similar
第一 大量观察法
The first research method we are going to discuss
是第一个研究方法
is mass observation
大量观察法就是苏斯密尔希斯
Mass observation is invented by Sussmilch
有些人说不是他发明的
Some people have doubts on the inventor
有些人说是他发明的
while some claim it true
苏斯密尔希斯认为 要发现一个
Sussmilch believed mass observation
复杂现象的规律
is a required technique
就要进行大量的观察
to analyze the laws of complicated phenomena
比如说 婴儿出生的性别(比)
such as the sex (ratio) of new-born babies
你家生的是女儿
A baby girl is born in this family
他家生的是儿子
A baby boy is born in that family
好像没有规律
There seems to be no relevance
他说 如果你有足够地去观察
But Sussmilch said, if you observe in sufficient number
婴儿出生的情况
the situation of births
比如时间拉长 范围放宽
such as in prolonged time and expanded scope
不要从一个家庭或者一个(条)街道
not just in a family or a community
你放宽到整个城市或者这个地区
but in the whole city or a larger region
时间拉长到一个月 一年
in a month or a year
你就会发现
you would find
婴儿出生(性别比) 它是有规律的
there was a law in the (sex ratio) of babies
它的性别(比) 就是格朗特发现的
This sex (ratio) was one of the discoveries of Graunt
但是他一开始认为 100个小孩里面
although his original belief that among 100 babies
有52个是男的 48个是女的
there were 52 boys and 48 girls
当然 跟现在的婴儿(出生)性别(比)呢
was hardly close to the sex (ratio) of
还是有差距的
(new-born) babies at present
但是 那时候是17世纪
But given the fact he lived in the 17th century
能发现这个现象
it was a remarkable discovery
是非常不容易的
for the him to make
(苏斯密尔希斯提出)只有通过
(Sussmilch proposed that) only by
大量观察才能发现这些规律
mass observation could the law be revealed
就像我们去研究犯罪率一样
For example, in our study of criminal rates
今天他是人身攻击犯罪
this might be the case of personal attack
明天是财务犯罪
and that might be economic crime
好像没有规律
There seems to be no relevance
按阿道夫・凯特勒的方法
But according to Adolphe Quetelet
你通过大量的 长时间的观察
if you spend abundant time doing massive observation
你就能发现 气候跟这个是有关的
you will find that there is a link between crimes and climate
也就是说
That is to say
在春天 我们很容易发生的案件
in spring, most of the cases are
是财务犯罪
economic crimes
在夏天 很容易发生的案件
while in summer, most of the cases are
是人身攻击犯罪
personal attacks
这种规律只有通过大量观察
Such a law can only be discovered
才能发现
by mass observation
所以大量观察法是
Therefore, mass observation
统计分析方法的一种基本分析方法
is one of the basic analysis methods in statistics
第二种分析方法 就是统计指标法
The second analysis method is the method of statistical indicator
因为一个总体
as the population total
它非常复杂
is usually complicated
等下后面我们会讲到
We will come to discuss the term
什么叫总体
population total shortly.
它有不同的侧面
It presents various laterals
不同的层次
in many layers
你如何反映这个总体
How do we reflect this population
就像比如 我们国家的经济
The national economy, for example
就是一个总体
is a population total
这个总体 你(要)反映它的情况
How do we reflect its general
怎么办
status
那我们就要用统计指标
We need to employ statistical indicators
从它的生产 使用 分配
from manufacture, utilization and distribution
从出口到进口
from import to export
从货币的流放到物价的变动
from currency in exile to changes in price
从就业到失业等等
from employment to unemployment
我们都要用统计指标
These are all statistical indicators
来全面反映它
to reflect the overall situation
这种方法叫统计指标法
This is referred to as the method of statistical indicator
统计指标(法) 它就要确定
The (method of) statistical indicator is to
统计指标的内涵
define the connotation, denotation
外延 计算方法等等
and computational methods in statistical indicators
第三个方法呢
The third method is
就是统计分组法
statistical grouping
统计分组法贯穿于统计的各个方面
Statistical grouping is used in almost every way in statistics
也贯穿统计科学里面
and in the individual methods
各个具体的方法
of statistical science
统计分组 它是把
Statistical grouping is the process
杂乱无章的一个(组)数据
to arrange random (group) data
进行系统化
in a systematic
条理化的一个工作过程
and organized order
它能够反映出总体的内部结构
It can reflect the inner structure
和一般的发展水平和规律
and the development and laws in the population
第四个分析方法
The fourth method of analysis in statistics
统计里面跟别的不同
unlike other disciplines
就是归纳推理法
is inductive reasoning
它通过了解部分(单位的)信息
By understanding part (unit) information
来推导出总体的全部(单位的)信息
it helps to infer the overall total (unit) information
大家知道
As we know
统计研究的总体非常复杂
the population of statistical research is very complicated
它这里的总体单位
The population in statistics is measured in a unit of
少则一两个亿
ranging from at least 100 or 200 million
多则几千个亿
to hundreds of billion
它这么多单位
It is impossible to conduct a survey
你不可能进行全面调查
covering every one of these units
你只有通过部分(单位的)数据的搜集
We can only collect part (unit) data
当然 有些现象你还不能够
And, of course, some phenomena simply cannot
全面调查
accept a complete survey
那你只能用部分(单位的)数据
so we are forced to use part (unit) data
进行推导出全部总体(单位的信息)
to infer the overall population (unit information)
这个呢 就是归纳推理
That is how inductive reasoning is used as
这也是统计的基本分析方法
a basic analytical method in statistics
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-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
-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
-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
--3.2.2 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
-3.9 unit 3 test 第三单元测试题
-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
-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
-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
-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
-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
-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