The program is divided into 10 lessons grouped into three blocks: a first block, corresponding to lessons 1-4, focuses on the study of univariate statistics. The second block, which covers lessons 5-6, studies sets of variables and their relationships. The common feature of the third block, corresponding to lessons 7-10, is the analysis of variables from a temporal approach.
5.1. Program in brief
Lesson 1: Organization and presentation of data: statistical sources
Lesson 2: Measures of central tendency and partition values
Lesson 3: Measures of dispersion
Lesson 4: Measures of inequality and poverty
Lesson 5: Measures of correlation and association
Lesson 6: Simple regression
Lesson 7: Index Numbers: rates and properties
Lesson 8: Index numbers: standard formulas, change and contributions
Lesson 9: The Consumer Price Index (CPI) and its applications
Lesson 10: Time series
5.2. Detailed program and learning objectives
Lesson 1. Organization and presentation of data: statistical sources
Contents:
1.1 .- Sources of information: censuses and samples
1.2 .- Types of statistical information
1.3 .- Presentation of data: tables and graphs
1.4 .- National and European statistical systems
1.5 .- Statistical sources of economic information
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Objectives:
The lesson has two distinct parts, the first one dealing with the introduction of basic statistical concepts and terminology and also with the methods of tabulation and graphical representation of statistical information. The second part is devoted to the study of the general features of the official statistical system and some socio-economic statistical sources.
From this perspective, specific learning objectives to be pursued by students are to:
- Describe data collection procedures and to distinguish between census and sample surveys.
- Manage frequency tables of grouped and ungrouped data, differentiating the types of frequencies and their relationships.
- Choose appropriate graphs to represent a set of data and recognize errors in graphical representations present in the media.
- Know the basic characteristics of national and European statistical systems.
- Describe the main characteristics of some socio-economic statistics compiled by the INE.
- Search for socio-economic statistical information on the websites of official statistical agencies.
Additional Material:
BERENSON, M.L., et al. (2010): Basic Business Statistics. Concepts and applications. Pearson International. [Chapters 1 and 2]
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 1.
INE web: http://www.ine.es
Lesson 2. Measures of central tendency and quantiles
Contents:
2.1. Measures of central tendency: averages
2.2. Quantiles
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Objectives:
This lesson introduces the different types of measures for summarizing or synthesizing the behaviour of a data set. The approach followed in this lesson will help students to achieve the following learning objectives:
- Calculating and interpreting various averages: arithmetic mean, weighted mean, median and mode.
- Comparing the properties of the arithmetic mean, median and mode.
- Calculating and interpreting various quantiles (deciles, quartiles, and percentiles).
Additional Material:
BERENSON, M.L., et al. (2010): Basic Business Statistics. Concepts and applications. Pearson International. [Chapter 3]
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 2.
Lesson 3. Measures of dispersion
Contents:
3.1 .- Measures of absolute dispersion
3.2 .- Measures of relative dispersion
3.3 .- Standardized variables
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Objectives:
This lesson presents the different types of measures for analyzing the variability of a dataset and the representativeness of the averages. It also studies the concept of the standardized variable. The learning objectives to be achieved are:
- To quantify the variability or dispersion of a distribution through measures of absolute dispersion.
- To study the properties of the variance and standard deviation.
- To calculate and interpret coefficients of variation.
- To compare the representativeness of averages.
- To compare values from different distributions by means of standardized variables.
Additional Material:
BERENSON, M.L., et al. (2010): Basic Business Statistics. Concepts and applications. Pearson International. [Chapter 3]
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 3.
Lesson 4. Measures of inequality and poverty
Contents:
4.1 .- Poverty measures
4.2 .- Economic inequality
4.3 .- The Lorenz curve and the Gini index
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Objectives:
This lesson introduces the need to quantify the disparities in the distribution of economic variables, such as family income, wages, etc., by a set of inequality and poverty indicators. The learning objectives to be achieved are to:
- Appreciate the importance of the phenomenon of economic inequality.
- Plot Lorenz curves and interpret their meaning in relation to inequality.
- Quantify the inequality by the Gini index.
- Apply the desirable properties of inequality measures.
- Define poverty.
- Calculate and interpret measures of poverty.
Additional Material:
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 4.
Lesson 5. Measures of correlation and association
Contents:
5.1. Two-dimensional distributions
5.2. Marginal distributions
5.3. Statistical dependence and independence
5.4. Measuring correlation Measures of association in contingency tables
5.5. Measuring correlation
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Objectives:
This lesson addresses the joint study of two characters and the possible relationships between them. The learning objectives to be achieved are to:
- Appreciate the interest of the joint study of several characters.
- Construct and interpret tables and two-dimensional scatter plots.
- Build marginal distributions.
- Recognize and interpret the possible relationship between two variables: functional independence, statistical independence and statistical dependence.
- Quantify the degree of association between two attributes by Pearson’s contingency coefficient.
- Calculate and interpret measures of linear dependence: covariance and linear correlation coefficient.
Additional Material
BERENSON, M.L., et al. (2010): Basic Business Statistics. Concepts and applications. Pearson International. [Chapter 3]
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 5.
Lesson 6. Simple Regression
Contents:
6.1 .- Correlation and regression
6.2 .- Least squares regression
6.3 .- Goodness of fit analysis
6.4 .- Forecasting with causal models
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Objectives:
This lesson examines the procedures for building explanatory models from the joint information of two statistical variables mutually correlated. From this perspective, specific learning objectives to be pursued by students are to:
- Distinguish the concepts of correlation and regression and analyze the connection between them.
- Calculate regression lines by least squares adjustment.
- Interpret the coefficients of the regression line.
- Analyze the goodness of fit of a model by the coefficient of determination.
- Calculate predictions from causal models and to analyze its reliability.
Additional Material:
BERENSON, M.L., et al. (2010): Basic Business Statistics. Concepts and applications. Pearson International. [Chapter 13]
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 6.
Lesson 7. Index numbers: rates and properties
Contents:
7.1 .- Simple index numbers and rates
7.2 .- Synthetic index numbers
7.3 .- Properties of the index numbers
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Objectives:
The last part of the program is devoted to the study of the temporal evolution of economic variables. Specifically, this lesson addresses the comparison of the values of a variable between different time periods through the calculation of index numbers and rates of change. The learning objectives to be achieved are to:
- Obtain and interpret simple temporal and spatial indices.
- Calculate and interpret different types of rates of change (monthly, annual...)
- Describe the desirable properties of index numbers.
Additional Material:
BERENSON, M.L., et al. (2010): Basic Business Statistics. Concepts and applications. Pearson International. [Chapter 16]
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 8.
Lesson 8. Index numbers: standard formulas, change and contributions
Contents:
8.1.- Standard formulas for price and quantity index numbers
8.2.- Chain indices
8.3.- Change of an index number and individual contributions
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Objectives:
This lesson explores the formulas most commonly used for constructing a synthetic index in the field of economics. It also addresses the measurement of the change on a synthetic index between two points in time. The learning objectives to be achieved are:
- Obtaining and interpreting price and quantity Laspeyres’ and Paasche’s formulae.
- Calculating rates and analyzing advantages and disadvantages of chain index numbers.
- Calculating and interpreting the relative change of a weighted-average composite index and the individual effect of each component.
Additional Material:
Notes on the lesson available at the Virtual Campus www.campusvirtual.uniovi.es
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 9.
Lesson 9. The Consumer Price Index (CPI) and its applications
Contents:
9.1 .- The Consumer Price Index (CPI)
9.2 .- The Harmonized CPI (HCPI)
9.3 .- Applications of the CPI: the problem of deflation
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Objectives:
This lesson continues with the study of index numbers and extends its applications in an economic context. The lesson focuses on the Consumer Price Index (CPI) and its role as a deflator. These contents will allow the students to achieve the following objectives:
- To describe the objectives and the basic features of the Spanish CPI (base 2016)
- To describe the basic features of the HCPI.
- To distinguish between variables at current prices and constant prices.
- To define the concept of deflation and transform series into constant prices in order to analyze the real evolution of economic variables.
Additional Material:
PÉREZ, R.; CASO, C.; RÍO, M.J. and LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [online]. Chapter 10.
INE Web http://www.ine.es
- CPI and HCPI methodologies
- Household Budget Survey (HBS) methodology
Lesson 10. Time series
Contents:
10.1 .- Temporal evolution of variables
10.2 .- Components of a time series
10.3 .- Trend analysis
10.4 .- Analysis of seasonal variations
10.5 .- Seasonal adjustment
10.6 .- Forecasting
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Objectives:
This lesson begins the study of time series from a classical perspective, through the analysis of its components. The approach taken in this lesson must allow the students to achieve the following learning objectives:
- To describe the components of a time series.
- To identify the type of model of a time series.
- To obtain the trend by moving average methods and adjustment.
- Application of the appropriate procedure to identify the seasonal component.
- Interpreting the seasonal component.
- Adjusting seasonally a time series.
- Obtaining forecasting of time series and analyze its reliability.
Additional Material:
BERENSON, M.L.; LEVINE, D.M. y KREHBIEL, T.C. (2010): Basic Business Statistics. Concepts and applications. Pearson International. Tema 16.
PÉREZ, R.; CASO, C.; RÍO, M.J. y LÓPEZ, A.J. (2011): Introducción a la Estadística Económica. [en línea]. Temas 11 y 12.