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Crossed v in mat.
In this case the cross function treats a and b as collections of three element vectors.
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In experiments or any randomized designs these factors are often manipulated.
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Experimental manipulations like treatment vs.
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Observational categorical predictors such as gender time point.
One of those tricky but necessary concepts in statistics is the difference between crossed and nested factors.
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The function calculates the cross product of corresponding vectors along the first array dimension whose size equals 3.
If a and b are matrices or multidimensional arrays then they must have the same size.
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Crossed definition of partial derivatives mixed especially of order two.
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As a reminder a factor is just any categorical independent variable.