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lm is the name of the linear model (i.e. multiple regression) function in the statistics package R. For linear models in general use the `linear-model` tag instead.
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Custom contrasts in R: why should I take the generalized inverse of transpose of the origina...
And we solve by the method of least squares or by lm(). lm() takes the inverse of your contrast matrix as argument and adds the intercept term, then evaluates the contrasts by the least squares method: … Error t value Pr(>|t|)
X11 -0.06525 0.06049 -1.079 0.282
X12 0.03628 0.12596 0.288 0.774
X13 0.04821 0.14336 0.336 0.737
# lm() with your contrasts
lm(y ~ x, contrasts = list …