Fundamentals of Mathematics in Medical Research: Theory and Cases

Author(s): Carlos Polanco * .

DOI: 10.2174/9789815223132124010012

Multivariate Analysis of Variance

Pp: 84-97 (14)

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  • * (Excluding Mailing and Handling)

Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

This chapter examines the analysis of variance (ANOVA) and Fisher statistical tests as fundamental research methods. Introduction to ANOVA and its application to the investigation of significant differences between data groups. Subsequently, we examine the application of Fisher tests in various contexts, including one-factor, two-factor, and even three-factor analyses. In addition, we investigate the design and experimental application of Latin squares. We conclude by discussing multivariate analysis of variance (MANOVA) and emphasizing its usefulness for investigating multiple response variables. This chapter concludes with a comprehensive overview of the previously mentioned statistical techniques and their applicability to scientific research.

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