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IntroductionPrincipal Component AnalysisCorrespondence Analysis Multiple Correspondence Analysis ClusteringMultiple Factor AnalysisTo concludeForum
Q1) The individuals' representation two individuals close together in the global space will be close together in the 1-2 plane two individuals close together in the 1-2 plane will necessarily be close together in the global space two individuals close together in the 1-2 plane but poorly projected are necessarily far apart in the global space two individuals far apart in the 1-2 plane will also be far apart in the global space the projection quality of an individual, measured by the squared cosine, can only be summed over two axes
Q2) Individuals' contributions an individual with values close to the mean for all variables does not contribute to the construction of any axes an individual's contribution is measured by a squared cosine value an individual that contributes greatly to the construction of the 1st PCA axis cannot contribute much to the construction of the 2nd an individual with a large (absolute) coordinate value on a given axis contributes strongly to construction of that axis
Q3) The variables plot a variable is well-projected on a plane if its arrow is short and far from the correlation circle pairs of poorly-projected variables are strongly (positively or negatively) correlated the projection quality of a variable on an axis is equal to the correlation coefficient of the variable with the axis the projection quality of a variable on an axis is equal to the square of the correlation coefficient of the variable with the axis
Q4) Supplementary variables active variables are necessarily quantitative supplementary variables cannot be qualitative supplementary qualitative variables are represented in terms of their categories on the individuals plot the category of a supplementary qualitative variable is located at the barycenter in the global space of the individuals who are in this category
Q5.1) The percentage of inertia associated with the 1st dimension is close to 0 % 10 % 25 % 40 % 65 %
Q5.2) The percentage of inertia associated with the plane shown is close to 0 % 10 % 25 % 40 % 65 %
Score = Correct answers: