Titlebook: Measurement, Mathematics and New Quantification Theory; Shizuhiko Nishisato Book 2023 The Editor(s) (if applicable) and The Author(s), und

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Book 2023scussed, quantification theory is then introduced in the last section as a simple application of those mathematical procedures fully discussed so far. The book opens up further frontiers of quantification theory as simple applications of basic mathematics..

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https://doi.org/10.1007/978-981-99-2295-6Theory of Measurement; Series and Limit; Matrix Algebra; Maximization of a Function under Constraints; P

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978-981-99-2297-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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Measurement, Mathematics and New Quantification Theory978-981-99-2295-6Series ISSN 2524-4027 Series E-ISSN 2524-4035

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Information for AnalysisWhen we carry out data analysis, we encounter many kinds of data.

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Data Analysis and Likert ScaleBefore we move on to the introductory chapter on necessary mathematical background, let us take a moment and look at today’s data analysis reported on mass media which makes us wonder if such reports convey correct or understandable information.

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PreliminariesIt is difficult to write an appropriate textbook on mathematics for data analysis.

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Matrix CalculusWhen we deal with many variables, the designation of a variable by a subscript becomes cumbersome. Once we introduce the matrix notation, the expression of formulas with many variables can not only be vastly simplified, but it also leads to new mathematics of many variables in a unified way.