# Tests for Enhanced Russell Graph DEA Models @testset "EnhancedRussellGraphDEAModel" begin # Data for ERG test X = [2; 4; 8; 12; 6; 14; 14; 9.412] Y = [1; 5; 8; 9; 3; 7; 9; 2.353] # Enhanced Russell Graph CRS deaergcrs = deaerg(X, Y, rts = :CRS) @test typeof(deaergcrs) == EnhancedRussellGraphDEAModel @test nobs(deaergcrs) == 8 @test ninputs(deaergcrs) == 1 @test noutputs(deaergcrs) == 1 @test efficiency(deaergcrs) ≈ [0.4; 1.0; 0.8; 0.6; 0.4; 0.4; 0.514285714285650175; 0.2] @test efficiency(deaergcrs, :beta) ≈ [0.4; 1.0; 1.0; 0.6; 0.4; 0.4; 0.514285714285650175; 0.2] @test convert(Matrix, peers(deaergcrs)) ≈ [ 0 0.5 0 0 0 0 0 0 0 1.0 0 0 0 0 0 0 0 1.6 0 0 0 0 0 0 0 3.0 0 0 0 0 0 0 0 1.5 0 0 0 0 0 0 0 3.5 0 0 0 0 0 0 0 3.5 0 0 0 0 0 0 0 2.353 0 0 0 0 0 0] @test slacks(deaergcrs, :X) ≈ [0; 0; 1.6; 0; 0; 0; 0; 0] @test slacks(deaergcrs, :Y) ≈ [1.5; 0; 0; 6.0; 4.5; 10.5; 8.5; 9.412] @test efficiency(deaerg(targets(deaergcrs, :X), targets(deaergcrs, :Y), rts = :CRS)) ≈ ones(8,1) atol = 1e-6 # Test default is CRS @test efficiency(deaerg(X, Y)) ≈ efficiency(deaergcrs) # Enhanced Russell Graph VRS deaergvrs = deaerg(X, Y, rts = :VRS) @test efficiency(deaergvrs) ≈ [1.0; 1.0; 1.0; 1.0; 0.4; 0.4761904761904763; 0.8571428571428572; 0.2] atol = 1e-10 @test efficiency(deaergvrs, :beta) ≈ [1.0; 1.0; 1.0; 1.0; 0.6; 1.0; 1.0; 0.4706] @test convert(Matrix, peers(deaergvrs)) ≈ [ 1.0 0 0 0 0 0 0 0 0 1.0 0 0 0 0 0 0 0 0 1.0 0 0 0 0 0 0 0.0 0 1 0 0 0 0 0 1.0 0 0 0 0 0 0 0 1/3 2/3 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0] @test slacks(deaergvrs, :X) ≈ [0; 0; 0; 0; 2.0; 22/3; 2; 5.412] @test slacks(deaergvrs, :Y) ≈ [0; 0; 0; 0; 2.0; 0; 0.0; 2.647] @test efficiency(deaerg(targets(deaergvrs, :X), targets(deaergvrs, :Y), rts = :VRS)) ≈ ones(8,1) atol = 1e-6 ## Test if one-by-one DEA using evaluation and reference sets match initial results deaerg_crs_ref_eff = zeros(size(X, 1)) deaerg_vrs_ref_eff = zeros(size(X, 1)) Xref = X[:,:] Yref = Y[:,:] for i = 1:size(X, 1) Xeval = X[i:i,:] Xeval = Xeval[:,:] Yeval = Y[i:i,:] Yeval = Yeval[:,:] deaerg_crs_ref_eff[i] = efficiency(deaerg(Xeval, Yeval, rts = :CRS, Xref = Xref, Yref = Yref))[1] deaerg_vrs_ref_eff[i] = efficiency(deaerg(Xeval, Yeval, rts = :VRS, Xref = Xref, Yref = Yref))[1] end @test deaerg_crs_ref_eff ≈ efficiency(deaergcrs) @test deaerg_vrs_ref_eff ≈ efficiency(deaergvrs) # Print show(IOBuffer(), deaergcrs) show(IOBuffer(), deaergvrs) # ------------------ # Test errors # ------------------     @test_throws DimensionMismatch deaerg([1; 2 ; 3], [4 ; 5]) #  Different number of observations     @test_throws DimensionMismatch deaerg([1; 2], [4 ; 5], Xref = [1; 2; 3; 4]) # Different number of observations in reference sets @test_throws DimensionMismatch deaerg([1 1; 2 2], [4 4; 5 5], Xref = [1 1 1; 2 2 2]) # Different number of inputs @test_throws DimensionMismatch deaerg([1 1; 2 2], [4 4; 5 5], Yref = [4 4 4; 5 5 5]) # Different number of inputs @test_throws ArgumentError deaerg([1; 2; 3], [4; 5; 6], rts = :Error) # Invalid returns to scale @test_throws ArgumentError efficiency(deaergcrs, :Error) # Invalid efficiency type end