《統(tǒng)計(jì)學(xué)》課程教學(xué)大綱模版英文版

1、Syllabus of StatisticsCourse Name：Statistics Course Code： Credits：3 Total Credit Hours：48 Lecture Hours：40 Experiment Hours：8 Programming Hours： Practice Hours：Total Number of Experimental (Programming) Projects 8 , Where, Compulsory (8), Optional ( 0).School：School Business Target Major：Economics,

2、international trade, management, accounting, finance、Course Nature & Aims Statistics is a methodological subject to study the overall quantitative characteristics of objective phenomena.Statistics is one of the eight core courses of economics and management undergraduate courses stipulated by the di

3、scipline Committee Ministry of Education.This course takes the basic concepts, theories and methods of modern statistics as its basic structure, which lays the necessary professional foundation for providing statistical information, applying statistical methods and making statistical decisions.Stati

4、stics is a prerequisite for further study of economics, management, finance and accounting.This course starts from the requirements of the teaching plan of each major of the business school, emphasizes the application, pays attention to the practice, combines the software to complete the teaching pr

5、ocess.、Course Objectives1. Moral Education and Character Cultivation.After learning the subject of statistical theories and techniques, Students should have a comprehensive understanding of relevant knowledge of statistics.Through the explanation of the history of statistics and the establishment of

6、 relevant theories and techniques, we can understand how the predecessors thought and overcome the obstacles in the development of statistics, and help the students to establish a scientific thinking method and the spirit of facing challenges in work.From a statistical disciplines perspective, the r

7、ole of development of Chinas innovation drive with outstanding contributors work as the carrier, the socialist core values education into the teaching content and teaching process each link, highlight the value guidance, knowledge and ability training and help students recognize the historical law,

8、accurately grasp the basic national conditions and master the scientific world outlook and methodology, set up the correct world outlook and values.2.Course ObjectivesThrough the study of this course, students qualities, skills, knowledge and abilities obtained are as follows：Objective 1. The charac

9、teristics of statistical generation, development and statistical research methods, and the basic ideas of logical empirical method for statistical research problems（Corresponding to Chapter1, supporting for graduation requirements index 1.1,2.5）Objective 2. Methods of collecting statistical data （Co

10、rresponding to Chapter 2, supporting for graduation requirements index 2.3,2.5）Objective 3. Descriptive statistical method（Corresponding to Chapter 3&4, supporting for graduation requirements index 2.3,2.5）Objective 4. The probability theory foundation of statistics （Corresponding to Chapter 5, x.,

11、supporting for graduation requirements index 2.3,2.5,7.2,7.3,10.1,10.2）Objective 5. Inferential statistical（Corresponding to Chapter 6-13, x., supporting for graduation requirements index 2.3,2.5,7.2,7.3,10.1,10.2）Objective 6. Index of business analysis （Corresponding to Chapter 14, x., supporting f

12、or graduation requirements index 2.3,2.5,7.2,7.3,10.1,10.2）3. Supporting for Graduation RequirementsThe graduation requirements supported by course objectives are mainly reflected in the graduation requirements indices x.x, x.x, x.x. , as follows:Supporting for Graduation RequirementsCourse Objectiv

13、esGraduation RequirementsIndices and Contents Supporting for Graduation RequirementsTeaching TopicsLevel of Support IndicesContentsObjective 11. Good humanistic quality and professional ethicsIndex 1.1:1-1. Have a noble humanistic quality, a healthy body and mindChapter 1-14HObjective 22. Comprehens

14、ive knowledge ability2.52-5.Master relevant knowledge of economic statistics,and can establish appropriate analysis model for economic business, and can inference and solve the problemsn based on the modelChapter 1-14HObjective 37. Tool application capability7.17-1.Master basic computer operation an

15、d application, and be able to carry out computer program design and system management independentlyChapter 3-14H7.27-2. Master the data and modeling tools of accounting, and design and apply them according to specific tasks and projectsChapter 3-14HObjective 410. Career development ability10.1,10.2A

16、bility to analyze and synthesize professional knowledge of related disciplinesChapter 3-14HObjective 57. Tool application capability7.17-1.Master basic computer operation and application, and be able to carry out computer program design and system management independentlyChapter 3-14HObjective 67.2M

17、aster the data and modeling tools of accounting, and design and apply them according to specific tasks and projectsChapter 3-14H、Basic Course ContentChapter 1 introduction (supporting course objectives 1)1.1 what is statistics1.2 the generation and development of statistics1.3 major categories of st

18、atistics1.4 characteristics of statistical research methods1.5 statistical software and related learning websitesTeaching Requirements: After learning this chapter, students should to master the characteristics of the research methods of statistics, quantitative, through economic and social science

19、and natural science methods of statistical method in the history of the development of important role in understanding the basic objects of statistics by the empirical method to study the number, quantity, structure and quantity relationship, to grasp the quantity research methods of empirical logic

20、, on the basis of the understanding of the historical development of statistics, understand the characteristics of the research methods.At the same time, through some typical cases of misuse of statistical methods, the basic research ideas of combining statistical research methods with the basic kno

21、wledge of specific subjects are grasped.Understand the discipline system of statistics, and build the discipline system framework for more statistics related courses and professional courses in the future.Key Points：The logic of empirical method is to understand the nature of logical thinking of sta

22、tistical inductive reasoning and the disciplinary status of statistics by analyzing the two kinds of thinking modes in the development of human science, deductive reasoning and inductive reasoning.Difficult Points：misuse of statisticsChapter 2 collection of statistical data (supporting course object

23、ives 2)2.1 sources of statistical data2.2 types of statistical data2.3 methods of statistical survey2.4 statistical data errorsTeaching Requirements: After learning this chapter, students are required to master the main ways to obtain statistical data in statistical research: indirect sources and di

24、rect sources, through specific economic research and natural science intermediate case analysis, to understand the differences between observational data and experimental data in the use of statistical methods attribution reasoning.Master the basic methods of probability sampling: simple random samp

25、ling, stratified sampling, cluster sampling and multi-stage sampling;Understand the errors and sources of statistical data, and learn how to design statistical questionnaires for statistical data collection.Key Points：grasp the main methods of data acquisition in economic analysis, and understand th

26、e differences between observational data and experimental data in the application of statistical methods.understand the generation and control of data errors.Difficult Points：how to avoid the misuse of statisticsChapter 3 collation and display of statistical data (supporting course objectives 3)3.1

27、sorting and display of classified data3.2 numerical data collation and display3.2 statistical charts and tablesTeaching Requirements: After studying this chapter, students are required to master the graphic presentation method of statistical data and be familiar with the common graphs of statistical

28、 data presentation: histogram, pie chart, stem and leaf chart, time series diagram, boxplot diagram, scatter diagram and radar chart of multidimensional data.Proficient in using EXCEL to draw and display statistical data.Understand the characteristics of the statistics reflected in the chart: struct

29、ure, distribution, proportions, trends, relationships, etc.Ability to select appropriate charts to reflect data based on actual economic data.At the same time, it can clearly explain the law of data reflection by combining with specific economic problems.Familiar with the basic structure of the stat

30、istical table, explain the information reflected in the data table.Key Points：Histogram, pie chart, stem chart, time series chart, boxplot chart, scatter chart and radar chart of multidimensional dataDifficult Points：Select the appropriate graph for the specific data to reflect the data characterist

31、icsChapter 4 description of statistical data (supporting course objectives 3)4.1 determination of central tendency of statistical data4.2 determination of the dispersion degree of statistical data4.3 the skewness and kurtosis of the population were calculatedComplete experimental (programming) proje

32、ct 1:Describe StatisticsTeaching Requirements: Through the study of this chapter, students are required to master the distribution characteristics of statistical data: central tendency, dispersion degree and data distribution pattern, and understand how various calculation formulas measure central t

33、endency, dispersion degree and data distribution pattern.In the manual and the use of computer software to calculate all kinds of features, in each type of features, according to the data characteristics and specific economic problems, choose the appropriate formula.Understand the difference between

34、 different formulas to calculate the eigenvalues.Understand the application of variance, standard deviation and Z value in economic research.Key Points：Data distribution characteristics: central trend, discrete degree of different calculation formula differences and different applications.Difficult

35、Points：How to select appropriate characteristics and formulas in combination with specific economic problems.Chapter 5 probability theory and probability distribution (supporting course objectives 4)5.1 basis of probability 5.2 discrete random variables and their distribution5.3 continuous random va

36、riables and their distributionTeaching Requirements: After studying this chapter, students are required to master several definition methods of probability, to master the calculation of probability according to the definition of classical probability, to master the algorithm of probability: accordin

37、g to the application of economic problems to correctly choose the addition formula and the multiplication formula to calculate probability.Understand the basic concepts of random events, understand the concepts of simple events, sample space, and joint events, understand mutually exclusive events an

38、d independent events.Master the application of conditional probability and bayes probability.Understand the concept of random variables, grasp the probability distribution of discrete random variables and continuous random variables, understand the probability density function and probability distri

39、bution function, and master the calculation of the expected value and variance of variables associated with random variables.Grasp the basic analytical framework of the discipline system of probability theory.Key Points：To calculate the probability using the classical definition of probability and p

40、robability rules. To Distinguish mutually exclusive events and independent events, probability density function and probability distribution function, correct use of computer software to calculate the probability, will check the probability distribution tableDifficult Points：Calculation of event pro

41、bability, probability distribution of random variables, correct use of probability distribution tableChapter 6 Sampling Distribution (supporting course objectives 5)6.1 Distribution of the sample mean and central limit theorem6.2 Distribution of sample variance6.3 Distribution of the difference betw

42、een the means of two samples6.4 Distribution of the ratio of two-sample variancesTeaching Requirements: After learning this chapter, students are required to understand the concept of sample statistics, correctly understand the random characteristics of sample statistics, and understand the distribu

43、tion law of sample statistics.Understand the type of statistics;To grasp the distribution rule of sample mean, sample proportion and sample variance;To grasp the sampling distribution law of the difference between the mean of two samples, the difference between the proportion of two samples and the

44、ratio of the variance of two samples.Familiar with normal distribution, T distribution, chi square distribution, F distribution, and preliminary understanding of the use of various distribution tables, combined with looking up the table to calculate the probability of statistical observation.Key Poi

45、nts：Distribution of sample mean, sample proportion and sample variance;Master the sampling distribution of the difference between the two sample means, the difference between the two sample proportions and the ratio of the two sample variances.Difficult Points：The relationship among population distr

46、ibution, sample distribution and sampling distribution.Chapter 7 Parameter estimate (supporting course objectives 5)7.1 point estimate and Confidence Interval Estimate7.2 Confidence Interval Estimate of the mean,the difference of the between two populations7.3 Confidence Interval Estimate of varianc

47、e ,and the ratio of variance between two populationsComplete the experiment (computer) project 2: parameter estimationTeaching Requirements: Understand the concepts of point estimation and interval estimation, and understand the three attributes that evaluate estimators well: unbiased validity and c

48、onsistency.Familiar with the interval estimation of the mean and the interval estimation of the difference of the mean;Familiar with interval estimation of proportion and interval estimation of proportion difference;Familiar with interval estimation of variance and ratio of variance.The relation bet

49、ween confidence degree and estimation accuracy is understood, and the factors affecting interval estimation error are understood.Understand the difference between independent and matched samples in interval estimation.Ability to select appropriate estimation methods according to specific economic pr

50、oblems.The interval estimation is carried out by using the statistical software in combination with the specific economic analysis.Key Points：Confidence interval estimate of the mean, interval estimate of the difference of the mean, interval estimate of the ratio, interval estimate of the difference

51、 of the ratio, interval estimate of the variance and the ratio of the variance.Difficult Points：The difference between independent sample and matched sample in interval estimation.Chapter 8 Hypothesis test (supporting course objectives 5)8.1 basic idea of hypothesis testing8.2 hypothesis testing for

52、 the mean,hypothesis testing for the difference of the means between two populations8.3 hypothesis test for the variance ,and ratio of variances between two populations8.4 p-value in hypothesis testComplete experimental (programming) project 3: Hypothesis testTeaching Requirements: The principle of

53、small probability, the basic idea of hypothesis testing, and the similarities and differences between absurdity in maths and hypothesis testing in statistical sense. Understand two types of errors in hypothesis testing and their relationships.Understand the relationship between hypothesis testing an

54、d interval estimation.Understand the meaning of p-value in hypothesis testing.Understand the rejection and non-rejection fields of hypothesis testing, and understand the critical value decision criterion and p-value decision criterion.Correct use of double tail test and single tail test.Master the h

55、ypothesis test of the population mean and the difference between two population means;Master the hypothesis test of proportion and the hypothesis test of proportion difference;Master the hypothesis test of variance and the ratio of variance.Understand the difference between independent sample and ma

56、tching sample hypothesis testing.Ability to select appropriate estimation methods according to specific economic problems and to use computer software for hypothesis testing.Key Points：The hypothesis test of the population mean and the difference between two population means;Hypothesis test of propo

57、rtion and hypothesis test of difference of proportion;Hypothesis testing of variance and the ratio of variance.Difficult Points：criterion of Critical value decision and criterion of p-value decision, double tail test and single tail test, the construction of null hypothesis and alternative construct

58、ion in single tail test.Chapter 9 Contingency table analysis and Chi-test (supporting course objectives 5)9.1 Idea of Chi-testing9.2 Consistency test and independence testComplete experimental (programming) project 4: Contingency table analysis and Chi-testTeaching Requirements: Through the study of

59、 this chapter, I understand that contingency analysis is an extension of the proportion hypothesis test, and the relationship between consistency test and independence test.Understand the basic concepts of the observed frequency and the expected frequency and how the expected frequency differs in th

60、e correlation test and the independence test.Master the calculation method of chi-square statistics, grasp the critical value decision criterion and the p-value decision criterion.Understand the correlation measure of classification variables, master the specific application of chi-square test in ec