1) Understand basic statistics and probability distribution, and can apply them to social phenomena.
2) Can perform statistical processing to mathematize phenomena using various analytical methods.
3) Can build models of social phenomena using various analytical methods.
Outline:
For this course, a faculty member who was registered to a private think tank and was in charge of urban and regional planning and economic analysis, will give lectures on the basic concepts of probability statistics and statistical processing techniques that are needed to plan and design social capital. In addition, students will learn how to mathematize social phenomena and how to optimize systems.
Style:
Classes will be conducted in a lecture style in line with the textbook.
The overall evaluation will be based on 70% on the periodic exam, 20% on exercise assignments and report, 10% on attitude toward class activities such as Q&A sessions. The minimum score for a pass will be 60%.
Notice:
Understand the basic concept of planning, and master it through exercises. Students will learn the basic concept of modelling of social phenomena, and the interpretation method on the results through exercise assignments, etc.
Students who miss 1/3 or more of classes will not be eligible for evaluation.
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Theme |
Goals |
2nd Semester |
3rd Quarter |
1st |
Basic statistics A lecture will be given on sampling theory, interval estimation, and sampling. |
Can explain about sampling theory, interval estimation, and sampling.
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2nd |
Probability distribution I Explain and derive hypergeometric distribution, binomial distribution, multinomial distribution, Poisson distribution, and Gumbel distribution. |
Understand and can explain the derivation of hypergeometric distribution, binomial distribution, multinomial distribution, Poisson distribution, and Gumbel distribution.
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3rd |
Probability distribution II Explain the relationship of distributions of discrete probability distribution uniformly, and apply to social phenomena. |
Understand the relationship of distributions of discrete probability distribution uniformly, and can apply to social phenomena.
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4th |
Probability distribution III Conduct exercise for probability distribution. In addition, students will review normal distributions which they have learned in year 2 mathematical exercise. |
Understand exercise problems for various probability distributions.
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5th |
Correlation analysis Ⅰ Explain and conduct exercise on correlation coefficient, correlation ratio, and attribute correlation, which are the indicators that show the degree of correlation among labels and among individual pieces. |
Can explain about correlation coefficient, correlation ratio, and attribute correlation, which are the indicators that show the degree of correlation among labels and among individual pieces.
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6th |
Correlation analysis Ⅱ Explain and conduct exercise on correlation coefficient, correlation ratio, and attribute correlation, which are the indicators that show the degree of correlation among labels and among individual pieces. |
Can explain about correlation coefficient, correlation ratio, and attribute correlation, which are the indicators that show the degree of correlation among labels and among individual pieces.
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7th |
Analysis of variance I Quantitatively analyze the effect of factors, and explain the analysis of variance (concept, factors, standard effects, model structure, and analysis table for analysis of variance). |
Can quantitatively analyze the effect of factors, and can explain the analysis of variance (concept, factors, standard of effects, model structure, and analysis table for analysis of variance).
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8th |
Analysis of variance II Explain analysis of variance along with examples, based on the F-distribution test and the interpretation of the results of model structure, effect of factors, and variance ratio. |
Can evaluate using the F-distribution test and the interpretation of the results of model structure, effect of factors, and variance ratio.
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4th Quarter |
9th |
Design of experiments Ⅰ Explain about the design of experiment method that can simplify complex experiments taking multiple factors into account using the orthogonal tables, and conduct exercises. |
Can explain about the design of experiment method that can simplify complex experiments taking multiple factors into account using the orthogonal tables.
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10th |
Design of experiments II Explain about the design of experiment method that can simplify complex experiments taking multiple factors into account using the orthogonal tables, and conduct exercises. |
Can explain about the design of experiment method that can simplify complex experiments taking multiple factors into account using the orthogonal tables.
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11th |
Regression analysis I A lecture will be given on the method of least squares of regression analysis. The first class of regression analysis will be on single regression analysis. |
Can explain the method of least squares of single regression analysis.
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12th |
Regression analysis II A lecture will be given on the degree of conformity and significance, and on the derivation of normal equation, which is the conditional formula for determining parameters. Extension of the single regression analysis to the multiple regression analysis. |
Can explain about the degree of conformity and significance, and on the derivation of normal equation, which is the conditional formula for determining parameters.
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13th |
Regression analysis III Demonstrate how to apply the regression analysis to various curve data, and derive the normal equation. |
Understand how to apply the regression analysis to various curve data, and can derive the normal equation.
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14th |
Multiple regression analysis exercise I Explain about the theory of multiple regression analysis, and conduct analysis exercise in the classroom. |
Can explain about the theory of multiple regression analysis.
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15th |
Multiple regression analysis exercise II The second class of multiple regression analysis will be carrying out calculations and analysis at the Information Center. |
Can solve practice problems on multiple regression analysis.
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16th |
Final exam
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