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  "body": "\n## Summary\n\nCanonical correlation analysis studies the linear relations between two groups of variables.\nIt finds a linear combination of each group such that the two combinations have the largest possible [[correlation|0DNN9B6Q2F]].\nFurther pairs of combinations are found under the condition that they are uncorrelated with the earlier ones.\nThe resulting correlations are the canonical correlations.\n\n## Explanations\n\n### L1 human\n\nSuppose that for each student there are several test scores and several measures of study habits.\nCanonical correlation asks for the mix of scores and the mix of habits that move together most closely.\nThe correlation between these two best mixes is the first canonical correlation.\nWith only one variable in each group, it is just the absolute value of the ordinary correlation.\n",
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