![]() ![]() Being able to permute the rows and columns of the SSCP matrix efficiently means that you can solve the linear regression problem very quickly for any ordering of the columns of the design matrix. You never need to use a permutation matrix to rearrange the order of rows and columns of a matrix.Īs an application, I used the sum of squares and crossproducts (SSCP) matrix, which is used to estimate the regression coefficients in a least-squares regression model. This post relates to a previous post, in which I showed that This article shows that if you use the SWEEP operator, you can compute a SSCP matrix and use it repeatedly to estimate any linear regression model that uses those effects. One of the benefits of using the SWEEP operator is that it enables you to "sweep in" columns (add effects to a model) in any order.
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