# Tests for Cost DEA Models @testset "CostDEAModel" begin ## Test Cost DEA Model with Cooper et al. (2007) # Test agains book results X = [3 2; 1 3; 4 6] Y = [3; 5; 6] W = [4 2; 4 2; 4 2] deacostcooper = deacost(X, Y, W, rts = :CRS) @test typeof(deacostcooper) == CostDEAModel @test nobs(deacostcooper) == 3 @test ninputs(deacostcooper) == 2 @test noutputs(deacostcooper) == 1 @test ismonetary(deacostcooper) == false @test efficiency(deacostcooper, :Economic) ≈ [0.375; 1; 0.429] atol = 1e-3 @test efficiency(deacostcooper, :Technical) ≈ [0.9 ; 1; 0.6 ] atol = 1e-3 @test efficiency(deacostcooper, :Allocative) ≈ [0.417; 1; 0.714] atol = 1e-3 ## Test Cost DEA Model with Zofío and Prieto (2006) data. # Test agains results in R X = [5 3; 2 4; 4 2; 4 8; 7 9] Y = [7 4; 10 8; 8 10; 5 4; 3 6] W = [2 1; 2 1; 2 1; 2 1; 2 1.0] # Cost CRS deacostcrs = deacost(X, Y, W, rts = :CRS) @test efficiency(deacostcrs) ≈ [0.4307692308; 1.000; 1.000; 0.250; 0.2608695652] @test efficiency(deacostcrs, :Technical) ≈ [0.6364; 1.000; 1.000; 0.250; 0.2609] atol = 1e-3 @test efficiency(deacostcrs, :Allocative) ≈ [0.6769230769; 1.000; 1.000; 1.000; 1.000] @test efficiency(deacost(targets(deacostcrs, :X), targets(deacostcrs, :Y), W, rts = :CRS)) ≈ ones(5) # Cost VRS deacostvrs = deacost(X, Y, W, rts = :VRS) @test efficiency(deacostvrs) ≈ [0.6153846154; 1.000; 1.000; 0.500; 0.3478260870] @test efficiency(deacostvrs, :Technical) ≈ [0.750; 1.000; 1.000; 0.500 ; 0.375] atol = 1e-3 @test efficiency(deacostvrs, :Allocative) ≈ [0.8205128205; 1.000; 1.000; 1.000; 0.9275362319] @test efficiency(deacost(targets(deacostvrs, :X), targets(deacostvrs, :Y), W, rts = :VRS)) ≈ ones(5) # Check defaults @test efficiency(deacost(X, Y, W)) == efficiency(deacostvrs) @test efficiency(deacostvrs, :Economic) == efficiency(deacostvrs) # Print show(IOBuffer(), deacostcooper) # Test errors @test_throws DimensionMismatch deacost([1; 2 ; 3], [4 ; 5], [1; 1; 1]) #  Different number of observations @test_throws DimensionMismatch deacost([1; 2; 3], [4; 5; 6], [1; 2; 3; 4]) # Different number of observation in prices @test_throws DimensionMismatch deacost([1 1; 2 2; 3 3 ], [4; 5; 6], [1 1 1; 2 2 2; 3 3 3]) # Different number of input prices and inputs @test_throws ArgumentError deacost([1; 2; 3], [4; 5; 6], [1; 2; 3], rts = :Error) # Invalid returns to scale @test_throws ArgumentError deacost([1; 2; 3], [4; 5; 6], [1; 2; 3], dispos = :Error) # Invalid disposability @test_throws ArgumentError normfactor(deacost(X, Y, W)) # CostDEAModel has no normalization factor # ------------------ # Weak Disposability Tests # ------------------ X = [1; 2; 3; 2; 4] Y = [2; 3; 4; 1; 3] W = [1; 1; 1; 1; 1] deacostStrong = deacost(X, Y, W, dispos = :Strong) @test efficiency(deacostStrong, :Economic) ≈ [1.0; 1.0; 1.0; 0.5; 0.5] @test efficiency(deacostStrong, :Technical) ≈ [1.0; 1.0; 1.0; 0.5; 0.5] @test efficiency(deacostStrong, :Allocative) ≈ [1.0; 1.0; 1.0; 1.0; 1.0] deacostWeak = deacost(X, Y, W, dispos = :Weak) @test efficiency(deacostWeak, :Economic) ≈ [1.0; 1.0; 1.0; 1.0; 0.5] @test efficiency(deacostWeak, :Technical) ≈ [1.0; 1.0; 1.0; 1.0; 0.5] @test efficiency(deacostWeak, :Allocative) ≈ [1.0; 1.0; 1.0; 1.0; 1.0] # ------------------ # Test Vector and Matrix inputs and outputs # ------------------ # Tests against results in R # Inputs is Matrix, Outputs is Vector X = [2 2; 1 4; 4 1; 4 3; 5 5; 6 1; 2 5; 1.6 8] Y = [1; 1; 1; 1; 1; 1; 1; 1] W = [1 1; 1 1; 1 1; 1 1; 1 1; 1 1; 1 1; 1 1] @test efficiency(deacost(X, Y, W)) ≈ [1; 0.8; 0.8; 0.5714285714; 0.4; 0.5714285714; 0.5714285714; 0.4166666667] # Inputs is Vector, Output is Matrix X = [1; 1; 1; 1; 1; 1; 1; 1] Y = [7 7; 4 8; 8 4; 3 5; 3 3; 8 2; 6 4; 1.5 5] W = [1; 1; 1; 1; 1; 1; 1; 1] @test efficiency(deacost(X, Y, W)) ≈ [1; 1; 1; 1; 1; 1; 1; 1] # Inputs is Vector, Output is Vector X = [2; 4; 8; 12; 6; 14; 14; 9.412] Y = [1; 5; 8; 9; 3; 7; 9; 2.353] W = [1; 1; 1; 1; 1; 1; 1; 1] @test efficiency(deacost(X, Y, W)) ≈ [1; 1; 1; 1; 0.5; 0.4761904762; 0.8571428571; 0.2843710157] end