Titlebook: Statistics with Posterior Probability and a PHC Curve; Hideki Toyoda Textbook 2024 The Editor(s) (if applicable) and The Author(s), under

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Analysis of Two-Factor Experiments,We will learn about the experimental design and analysis methods involving two factors. The analysis process is broadly divided into three cases: (1) analysis of interaction effects, (2) analysis of the main effects of factors with more than three levels, and (3) analysis of the main effects of two-level factors.

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Multiple Regression Model,We discuss regression analysis with multiple predictor variables, detailing especially the case with two predictor variables.

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,Interpretation of Partial Regression Coefficients,Multiple regression analysis is one of the most basic statistical models used across various fields in statistical analysis processes. However, it is often misused, to the point where it is not an exaggeration to say that “it is mostly misused.” The most overwhelming misuse is the ..

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Logistic Regression/Meta-Analysis,This section introduces regression analysis using logistic transformation. We utilize the Bernoulli distribution and binomial distribution and, at the end of the chapter, mention meta-analysis for integrating multiple research findings.

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Poisson Model/Log-Linear Model,This section introduces regression analysis using exponential transformation. Analyze counting data using the Poisson distribution. At the end of the chapter, log-linear models, which apply to the analysis of contingency tables, are mentioned.

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Hideki ToyodaContains groundbreaking content that reconstructs statistics from the perspective of posterior probability.Overcomes the “reproducibility crisis” caused by the misuse of significance tests.Is a statis