The 8th International Symposium on Visual Information Communication and Interaction

Program

Tutorial

Visually Do Statistics for Business Persons:
Visual Materials from Regression to Black-Sholes Model


Prof. Yukari Shirota (Gakushuin Univ., Tokyo),
Prof. Yutaka Takahasi (Senshu Univ., Tokyo),
Prof. Nobuhide Tanaka (Gakushuin Univ., Tokyo), and
Prof. Michiya Morita (Gakushuin Univ., Tokyo)
ABSTRACT
Visualization has the power to make people understand the content meaning at a glance and the visualization power is required also in mathematics education. We have developed and used visual teaching materials in our university statistics lectures. We would like to show our teaching materials and explain the mathematics visually and interactively. The materials have been already published on web. Therefore the audience can in advance access the visual materials with the free software Wolfram CDF player. We hope that more people who need and study statistics easily understand and enjoy statistics visually.


TARGET AUDIENCE
  • People who need statistics for their works but feel difficulties in studying statistics themselves.
  • Mathematics/Statistics lecturers who would like to see the visual approach for teaching mathematics/statistics.



CONTENTS
  • Covariance in Regressive Analysis
    Because many people know the regressive analysis, we take the regression on purpose to show the visualization power. The correlation coefficient can be used to evaluate similarity of two time series data. Then we shall present the stock price comparison by using the real stock price data.

  • Central Limit Theorem
    The theorem is the most important theory in statistics. We present visually that many distributions become normal distributions. First we show the three cases for i.i.d. distributions such as (1) uniform distribution, (2) exponential one, and (3) discrete one. Secondly, we show the case for general distributions because we would like business persons to understand various factors make normal distributions finally.

  • Primary Component Analysis (PCA)
    To spot the difference between regression analysis and PCA, we show the visual materials. Concerning eigenvalues and eigenvectors, we shall skip the explanation in the lecture. But we offer the teaching material.

  • Black-Sholes model
    As an practical example, for financial persons, we shall present visual materials for the log-normal distribution and so forth. In the university lectures, students could grasp the meaning at a glance of them, although they could not understand, for a long time, the meaning with the math expression explanations.

The speaker is Prof. Shirota.

REFERENCES
  • Michiya Morita et al.: Visually Do Statistics for Business Persons!
  • Yukari Shirota: Mathematics Graphics Materials,
    http://www-cc.gakushuin.ac.jp/~20010570/mathABC/ABC/
  • Yukari Shirota: Practical Teaching Methods of Linear Algebra for Students in the Economics Course,
    http://glim-re.glim.gakushuin.ac.jp/handle/10959/3594
  • Yukari Shirota, and Sakurako Suzuki: Visualization of the Central Limit Theorem and 95 Percent Confidence Intervals, Gakushuin Economics Papers, vol. 50, no. 4, pp. 125-136, 2014/01, 2014.
    http://glim-re.glim.gakushuin.ac.jp/handle/10959/3363
  • Yukari Shirota, Takako Hashimoto, and Pamela Stanworth: Knowledge Visualization of the Deductive Reasoning for Word Problems in Mathematical Economics, Databases in Networked Information Systems, pp. 117-131, Springer, 2013.
    http://link.springer.com/chapter/10.1007/978-3-642-37134-9_10
  • Shirota, Yukari, Takako Hashimoto, and Sakurako Suzuki: Knowledge Visualization of Reasoning for Financial Mathematics with Statistical Theorem, Databases in Networked Information Systems. pp.132-143, Springer International Publishing, 2014.
    http://link.springer.com/chapter/10.1007/978-3-319-05693-7_8


Yukari Shirota (Prof, DSc) is a full professor at Gakushuin University (Japan). She belongs to Faculty of Economics, Department of Management and was the chairperson of the department from 2013-2014. She has been teaching business mathematics and statistics for 15 years and currently Investment Mathematics such as Black-Sholes model at Gakushuin University. The features of her teaching methods is VISUALIZATION and DEDUCTIVE REASONING (See her selected papers). She also teaches business mathematics in a foreign country as the public lectures of Gakushuin University. She loves teaching mathematics and developing visual teaching materials and related web systems. Other her keywords now are: SNS text mining by LDA model, joint project with Thailand researchers on text mining in both Japanese and Thai, and utilization of IT in Supply Chain Management. In any field, the point of hers is VISUALIZATION.


Hitotsubashi Hall

Conference Venue
Hitotsubashi Hall
National Center of Sciences Building 2F
Hitotsubashi,Chiyoda-ku,Tokyo JAPAN

Finding Us
Email: info@vinci-conf.org


Supported by:

In cooperation with: