Statistics with Posterior Probability and a PHC Curve

As a psychometrician and an expert in structural equation modeling, the author has calculated the brand value of Brand Japan since the first survey. Brand Japan is a brand value evaluation project sponsored by Nikkei BP Consulting, which has been implemented since 2001. The project visualizes the evaluations of over 50,000 people for 1,500 brands of companies, products, and services. It is the largest brand value evaluation survey in Japan and is useful for verifying the results of practical brand strategies, public relations activities, and marketing, as well as setting future goals. The author is also an expert in item response theory and has been in charge of the planning, analysis, and evaluation of the Nikkei TEST since 2008, when the first public test was held. The Nikkei Test is a test organized by the Nikkei newspaper that measures the "breadth and amount of knowledge necessary for business, as well as the ability to think". The test uses questions created from real-world economics and is represented by five evaluation axes. There are four types of Nikkei Tests, which can be chosen based on the purpose and form of the test. These include a nationwide simultaneous test (online test), a corporate/group test, a test center test, and a Nikkei Test training drill. The test is a valuable tool for self-analysis and evaluation, as well as for accelerating skill development.

chapter01 Data summary and theoretical distribution.- chapter02 Posterior Distribution and Bayes' Theorem.- chapter03 Inference about a normal distribution.-  chapter04 Generated quantities.- chapter05 phc curve and ROPE.- chapter06 Inference about two normal distributions.- chapter07 Group difference between two independent groups.- chapter08 Bivariate and multivariate data.- chapter09 difference score of paired two groups.- chapter10 Independent one-factor analysis.- chapter11 Independent two-factor analysis.- chapter12 Binomial distribution model.- chapter13 Multinomial distribution model.- chapter14 simple regression model.- chapter15 multiple regression model.- chapter16 Interpreting partial regression coefficients.- chapter17 Logistic regression / Meta-analysis.- chapter18 Poisson model / Log-linear model.- chapter19 Independent one-factor analysis with various distributions.- chapter20 Analysis of covariance / Propensity score.- chapter21 Advanced experimental design.- chapter22 Hierarchical linear model.