By Michael Greenacre
Drawing at the author’s forty five years of expertise in multivariate research, Correspondence research in perform, 3rd variation, shows how the flexible approach to correspondence research (CA) can be utilized for facts visualization in a large choice of events. CA and its variations, subset CA, a number of CA and joint CA, translate two-way and multi-way tables into extra readable graphical kinds ― perfect for functions within the social, environmental and overall healthiness sciences, in addition to advertising and marketing, economics, linguistics, archaeology, and more.
Michael Greenacre is Professor of information on the Universitat Pompeu Fabra, Barcelona, Spain, the place he teaches a path, among others, on information Visualization. He has authored and co-edited 9 books and eighty magazine articles and e-book chapters, totally on correspondence research, the newest being Visualization and Verbalization of Data in 2015. He has given brief classes in fifteen nations to environmental scientists, sociologists, info scientists and advertising execs, and has really expert in records in ecology and social science.
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Additional resources for Correspondence Analysis in Practice, Third Edition
E5 • E4 • E3 ◦ average • E2 • E1 ... ... ... ... ... ... ... ... ... ... ... ... .. ............ ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... .. 4. 7) that the weighted sum of these squared distances is identical to the inertia of the table. If we associate the row totals with the profiles rather than the masses (where each row total is n times the respective row mass, n being the grand total of the whole table), then the weighted sum of these squared distances is equal to the χ2 statistic.
Contents Hypothesis of independence or homogeneity for a contingency table . Chi-square (χ2 ) statistic to test the homogeneity hypothesis . . . . Calculating the χ2 statistic . . . . . . . . . . . . . Alternative expression of the χ2 statistic in terms of profiles and masses (Total) inertia is the χ2 statistic divided by sample size . . . . . Euclidean, or Pythagorian, distance . . . . . . . . . . Chi-square distance: An example of a weighted Euclidean distance . .
Alternative expression of the χ2 statistic in terms of profiles and masses (Total) inertia is the χ2 statistic divided by sample size . . . . . Euclidean, or Pythagorian, distance . . . . . . . . . . Chi-square distance: An example of a weighted Euclidean distance . . Geometric interpretation of inertia . . . . . . . . . . . Minimum and maximum inertia . . . . . . . . . . . Inertia of rows is equal to inertia of columns . .