Management Statistics Notes (Chapter1&2)

3.18 Chapter 1

Histogram (柱状图)

一、Key Concepts 几个概念

1.Population (总数):a population is the group of all items of interest to a statistics practitioner.

2.Sample (样本) :A sample is a set of data drawn from the population.

[Part of a population]

3.Parameter(参数): A descriptive measure of apopulation.

4.Statistic: A descriptive measure of a sample.

二、Statistics  分类

1.Descriptive Statistics(描述性统计):organizing, summarizing,and presenting data.

Include: Graphical Techniques&Numerical Techniques

2.Inferential Statistics (推断统计):draw conclusionsor inferences about characteristics of populations based on data from a sample.

三、Significance level(显著性水平)和Confidence level (置信水平)

1.The confidence level is the proportion of times that an interval estimate for a population parameter will be correct.“ 1–α” torepresent the confidence level when we wish to estimate a population parameter.

2.Significance level measures how frequently a “true claim” is accidently rejected. Use α(Greek letter “alpha”) tore present the significance level when testing a claim about a population parameter .

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Chapter 2 Numerical DescriptiveTechniques数值描述方法

第一部分

A variable(变量)[Typicallycalled a “random” variable since we do not know it’s value until we observe it]is some characteristic of a population or sample.

The values of the variable are the range of possible values for avariable.

一、Two types of Data

1.Numerical/Quantitative Data [Real Numbers] -定量数据 Include Inteval data & Ratio data. 包括定距数据和定比数据

a.Continuous Data – Data can be any real number within a given range. 连续性数据

b.Discrete Data – Data can only be very specific 离散型数据

values which we can list.

2.Qualitative/Categorical Data [Labels rather than numbers]-定性数据

包括定类数据和定序数据

a.Frequency

distribution:the data in a tablethat presents the categories and their counts

b.Relative frequency distribution: liststhe categories and the proportion with which each occurs.

c.Pareto chart(帕累托表) : Since Nominal data has no order, if we

arrange the outcomes from the most frequently occurring to the least frequently occurring

d.Cross-sectional data: Observations

measured at the same point in time

e.Time-series data: Observations measured at successive points in time

计量经济学的两大研究对象:横截面数据(Cross-sectional

Data)和时间序列数据(Time-series Data)。前者旨在归纳不同经济行为者是否具有相似的行为关联性,以模型参数估计结果显现相关性;后者重点在分析同一经济行为者不同时间的资料,以展现研究对象的动态行为。

Line Cart (线性图)

第二部分

Numerical Descriptive Techniques...

1.Measures of Central Location(中量数):Mean(平均数), Median(中间的数), Mode(众数)

2.Measures of Variability(差异量数):Range(范围), Standard Deviation(标准差), Variance(方差), Coefficient of Variation(变异系数)

3.Measures of Relative Standing(相对位置量数) Percentiles(百分位数), Quartiles (四分位数)

4.Measures of Linear Relationship Covariance(线性关系协方差测度

)Correlation(相关系数), Least Squares Line(最小二乘直线)

arithmetic mean 算数平均数

The Empirical Rule(经验法则): 经验规则是统计规律,指出了在正态分布,几乎所有数据都将落在均值的三倍标准差内。所述经验规则表明,68%的数据将分布在的第一个标准偏差之内,95%,和99.7%将落在均值的前三个标准偏差之内。

Box Plots...(箱体图):箱体图是在1977年由美国的统计学家约翰·图基(John Tukey)发明的。它由五个数值点组成:最小值(min),下四分位数(Q1),中位数(median),上四分位数(Q3),最大值(max)。

http://www.blogjava.net/norvid/articles/317235.html

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