Mathematics Introduction to Statistics with Formulas and Examples / Tatsuya Kubokawa

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Mathematics
[Introduction to Contents]
This book is written based on the lecture notes for second year students of humanities and social sciences universities in which the author has been in charge. It is a book in which you can learn the basic concepts of statistics and methods of data analysis.
The important matters are summarized as "formulas", and it is structured so that you can understand how they are useful through specific "examples" and "explanations."
In addition, there are over 100 exercise questions divided into "basic questions" and "development questions".
In addition to the examples of answers to all exercise questions and the codes and data of the statistical analysis software R used, as well as the mathematical matters necessary for understanding the contents of this book can be referred to on the author's support page.
The difficulty level is easier than the two books published in 『, Fundamentals of Modern Mathematical Statistics and 』, and the codes and data of the statistical analysis software R used.
The difficulty level is equivalent to the R2 level of statistical tests.
* "Statistical Tests" is a registered trademark of the Statistical Quality Assurance Promotion Association.
* "Statistical Tests" is a registered trademark of the Statistical Quality Assurance Promotion Association.
Chapter 1 "Data Organization and Characteristics of
6.1 Probability Distribution of Two Variables
6.2 Nature of Expected Values and Covariance and Correlation Coefficients
6.3 Conditional Probability Distribution and Independence
6.4 two dimensional Normal Distribution
6.5 Distribution of Sum of Random Variables
7.2 Parameter Estimation
7.3 Law of Large Numbers
7.4 Central Limit Theorem
8.2 Central Limit Theorem
7.5 Moment Method
Chapter 9 Hypothesis Testing
9.1 Hypothesis Testing
9.2 Hypothesis Testing Procedure
9.3 Two Types of Errors of Temporary Testing and Significance Probability
8.1 Distribution Derived from Normal Distribution
9.4 Central Limit Theorem
Approximate normality Using 8.3 Central Limit Theorem
Chapter 9 Hypothesis Testing
Hypothesis Testing Procedure
П Hypothesis Testing
П Hypothesis Testing
Ñ Comparison of Two Normal Distributions
10.2 Equivalence Test with Central Limit Theorem
10.3 Approximate Hypothesis Testing 1.1 3.1 3.2 3.3 3.4 4.1 4.2 4.3 5.1 5.2 5.3 1.2 5.4 5.5 7.1 1.3 9.5 1.4 10.1 11.1 11.2 11.3 12.1 12.2 12.3 12.4 1.5 13.1 13.2 13.3 13.4 14.1 14.2 14.3 2.1 2.2 2.3 2.4 『 』 sequential analysis