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Add keyword arg to modelmatrix; define momentmatrix #16

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18 changes: 12 additions & 6 deletions src/regressionmodel.jl
Original file line number Diff line number Diff line change
Expand Up @@ -34,19 +34,25 @@ Return the mean of the response.
function meanresponse end

"""
modelmatrix(model::RegressionModel)
modelmatrix(model::RegressionModel; weighted::Bool=false)

Return the model matrix (a.k.a. the design matrix).
Return the model matrix (a.k.a. the design matrix) or, if `weighted=true` the weighted
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Suggested change
Return the model matrix (a.k.a. the design matrix) or, if `weighted=true` the weighted
Return the model matrix (design matrix) or, if `weighted=true` the weighted

model matrix, i.e. `X' * sqrt.(W)`, where `X` is the model matrix and
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Why transpose X? It sounds weird to change the orientation of the result depending on whether it's weighted or not.

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My bad...I will fix it

`W` is the diagonal matrix whose elements are the model weights.
"""
function modelmatrix end
function modelmatrix(model::RegressionModel; weighted::Bool=false) end
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"""
crossmodelmatrix(model::RegressionModel)
crossmodelmatrix(model::RegressionModel; weighted::Bool=false)

Return `X'X` where `X` is the model matrix of `model`.
Return `X'X` where `X` is the model matrix of `model` or, if `weighted=true`, `X'WX`,
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where `W` is the diagonal matrix whose elements are the model weights.
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Can we define weights?

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We could add a link to the weights(::StatisticalModel) method. Indeed there can be confusion between prior weights and working weights (though these terms can also confuse casual users).

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How exactly do I add a link to weights(::StatisticalModel)? Is there a way to link docs from different packages?

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It's in the same package so I think something like [model weights](@ref weights(::StatisticalModel)) should work. Better test it though by building the StatsBase docs (julia docs/make.jl) using the updated StatsAPI.

This function will return a pre-computed matrix stored in `model` if possible.
"""
crossmodelmatrix(model::RegressionModel) = (x = modelmatrix(model); Symmetric(x' * x))
function crossmodelmatrix(model::RegressionModel; weighted::Bool=false)
x = weighted ? modelmatrix(model; weighted=weighted) : modelmatrix(model)
return Symmetric(x' * x)
end

"""
leverage(model::RegressionModel)
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10 changes: 10 additions & 0 deletions src/statisticalmodel.jl
Original file line number Diff line number Diff line change
Expand Up @@ -314,3 +314,13 @@ function adjr2(model::StatisticalModel, variant::Symbol)
end

const adjr² = adjr2

"""
momentmatrix(model::StatisticalModel)
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Return the matrix containing the estimating equation.
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For linear regression models, the moment matrix is given by `u*X`,
where `u` is the vector of residuals and `X` is the model matrix.
"""
function momentmatrix end
18 changes: 18 additions & 0 deletions test/regressionmodel.jl
Original file line number Diff line number Diff line change
Expand Up @@ -6,13 +6,31 @@ using StatsAPI: RegressionModel, crossmodelmatrix
struct MyRegressionModel <: RegressionModel
end

struct MyWeightedRegressionModel <: RegressionModel
wts::AbstractVector
end

StatsAPI.modelmatrix(::MyRegressionModel) = [1 2; 3 4]

function StatsAPI.modelmatrix(r::MyWeightedRegressionModel; weighted::Bool=false)
X = [1 2; 3 4]
weighted ? sqrt.(r.wts).*X : X
end

w = [0.3, 0.2]
Comment on lines +9 to +20
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Given that the methods hardcode the matrix, probably not worth having a separate type which doesn't hardcode weights:

Suggested change
struct MyWeightedRegressionModel <: RegressionModel
wts::AbstractVector
end
StatsAPI.modelmatrix(::MyRegressionModel) = [1 2; 3 4]
function StatsAPI.modelmatrix(r::MyWeightedRegressionModel; weighted::Bool=false)
X = [1 2; 3 4]
weighted ? sqrt.(r.wts).*X : X
end
w = [0.3, 0.2]
function StatsAPI.modelmatrix(r::MyRegressionModel; weighted::Bool=false)
X = [1 2; 3 4]
w = [1.5, 2.0, 0.3, 3.5]
weighted ? sqrt.(w).*X : X
end

... and simplify tests below.


@testset "TestRegressionModel" begin
m = MyRegressionModel()
r = MyWeightedRegressionModel(w)

@test crossmodelmatrix(m) == [10 14; 14 20]
@test crossmodelmatrix(m; weighted=false) == [10 14; 14 20]
@test crossmodelmatrix(m) isa Symmetric

@test crossmodelmatrix(r) == [10 14; 14 20]
@test crossmodelmatrix(r; weighted=false) == [10 14; 14 20]
@test crossmodelmatrix(r; weighted=true) ≈ [2.1 3.0; 3.0 4.4]
@test crossmodelmatrix(r; weighted=true) isa Symmetric
end

end # module TestRegressionModel
2 changes: 1 addition & 1 deletion test/statisticalmodel.jl
Original file line number Diff line number Diff line change
Expand Up @@ -36,4 +36,4 @@ StatsAPI.nobs(::MyStatisticalModel) = 100
@test adjr2 === adjr²
end

end # module TestStatisticalModel
end # module TestStatisticalModel