Revision 13cca5311395bcf616b2ecc98281ea167f8c6c52 authored by Javier Barbero on 10 April 2021, 13:17:22 UTC, committed by Javier Barbero on 10 April 2021, 13:17:22 UTC
1 parent 376bfef
deaddf.jl
# Tests for Radial DEA Models
@testset "DirectionalDEAModel" begin
## Test Directional DF DEA Models with FLS Book data
# Test against results in R
X = [5 13; 16 12; 16 26; 17 15; 18 14; 23 6; 25 10; 27 22; 37 14; 42 25; 5 17]
Y = [12; 14; 25; 26; 8; 9; 27; 30; 31; 26; 12]
# Observed CRS
deaddfobs = deaddf(X, Y, Gx = X, Gy = Y, rts = :CRS)
@test typeof(deaddfobs) == DirectionalDEAModel
@test nobs(deaddfobs) == 11
@test ninputs(deaddfobs) == 2
@test noutputs(deaddfobs) == 1
@test efficiency(deaddfobs) ≈ [0.00000000000;
0.23282544774;
0.09898790422;
0.00000000000;
0.52628538417;
0.28571428571;
0.00000000000;
0.13787061050;
0.09883720930;
0.34177215190;
0.00000000000]
@test slacks(deaddfobs, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
5.714285714 0;
0.000000000 0;
0.000000000 0;
1.802325581 0;
0.000000000 0;
0.000000000 4]
@test slacks(deaddfobs, :Y) ≈ zeros(11)
@test efficiency(deaddf(X, Y, Gx = :Observed, Gy = :Observed, rts = :CRS)) == efficiency(deaddfobs)
@test efficiency(deaddf(targets(deaddfobs, :X), targets(deaddfobs, :Y), Gx = :Observed, Gy = :Observed, rts = :CRS, slack = false)) ≈ zeros(11) atol=1e-15
@test efficiency(deaadd(targets(deaddfobs, :X), targets(deaddfobs, :Y))) ≈ zeros(11) atol=1e-13
# Observed VRS
deaddfobsvrs = deaddf(X, Y, Gx = X, Gy = Y, rts = :VRS)
@test nobs(deaddfobsvrs) == 11
@test ninputs(deaddfobsvrs) == 2
@test noutputs(deaddfobsvrs) == 1
@test efficiency(deaddfobsvrs) ≈ [0.00000000000;
0.1076130509;
0.0000000000;
0.0000000000;
0.2883597884;
0.0000000000;
0.00000000000;
0.0000000000;
0.0000000000;
0.1821192053;
0.00000000000]
@test slacks(deaddfobsvrs, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 4.32781457;
0.000000000 4]
@test slacks(deaddfobsvrs, :Y) ≈ [0.000000000;
0.000000000;
0.000000000;
0.000000000;
0.3915343915;
0.000000000;
0.000000000;
0.000000000;
0.000000000;
0.000000000;
0.000000000]
@test efficiency(deaddf(X, Y, Gx = :Observed, Gy = :Observed, rts = :VRS)) == efficiency(deaddfobsvrs)
@test efficiency(deaddf(targets(deaddfobsvrs, :X), targets(deaddfobsvrs, :Y), Gx = :Observed, Gy = :Observed, rts = :VRS, slack = false)) ≈ zeros(11) atol=1e-15
@test efficiency(deaadd(targets(deaddfobsvrs, :X), targets(deaddfobsvrs, :Y))) ≈ zeros(11) atol=1e-12
# Ones CRS
deaddfones = deaddf(X, Y, Gx = ones(size(X)), Gy = ones(size(Y)), rts = :CRS)
@test nobs(deaddfones) == 11
@test ninputs(deaddfones) == 2
@test noutputs(deaddfones) == 1
@test efficiency(deaddfones) ≈ [0.00000000000;
3.219963031;
2.121693122;
0.00000000000;
6.735674677;
1.945945946;
0.00000000000;
3.635859519;
1.837837838;
10.231053604;
0.00000000000]
@test slacks(deaddfones, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
10.918918919 0;
0.000000000 0;
0.000000000 0;
4.756756757 0;
0.000000000 0;
0.000000000 4]
@test slacks(deaddfones, :Y) ≈ zeros(11)
@test efficiency(deaddf(X, Y, Gx = :Ones, Gy = :Ones, rts = :CRS)) == efficiency(deaddfones)
# Ones VRS
deaddfonesvrs = deaddf(X, Y, Gx = ones(size(X)), Gy = ones(size(Y)), rts = :VRS)
@test nobs(deaddfonesvrs) == 11
@test ninputs(deaddfonesvrs) == 2
@test noutputs(deaddfonesvrs) == 1
@test efficiency(deaddfonesvrs) ≈ [0.000000000;
1.418867925;
0.000000000;
0.000000000;
4.067924528;
0.000000000;
0.000000000;
0.000000000;
0.000000000;
5.000000000;
0.000000000]
@test slacks(deaddfonesvrs, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 6;
0.000000000 4]
@test slacks(deaddfonesvrs, :Y) ≈ zeros(11) atol = 1e-14
@test efficiency(deaddf(X, Y, Gx = :Ones, Gy = :Ones, rts = :VRS)) == efficiency(deaddfonesvrs)
# Only X CRS
deaddfonlyX = deaddf(X, Y, Gx = X, Gy = zeros(size(Y)), rts = :CRS)
@test nobs(deaddfonlyX) == 11
@test ninputs(deaddfonlyX) == 2
@test noutputs(deaddfonlyX) == 1
@test efficiency(deaddfonlyX) ≈ [0.0000000000;
0.3777103209;
0.1801437556;
0.0000000000;
0.6896290689;
0.4444444444;
0.0000000000;
0.2423309104;
0.1798941799;
0.5094339623;
0.0000000000]
@test slacks(deaddfonlyX, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
4.444444444 0;
0.000000000 0;
0.000000000 0;
1.640211640 0;
0.000000000 0;
0.000000000 4]
@test slacks(deaddfonlyX, :Y) ≈ zeros(11)
@test efficiency(deaddf(X, Y, Gx = :Observed, Gy = :Zeros, rts = :CRS)) == efficiency(deaddfonlyX)
# Only X VRS
deaddfonlyXvrs = deaddf(X, Y, Gx = X, Gy = zeros(size(Y)), rts = :VRS)
@test nobs(deaddfonlyXvrs) == 11
@test ninputs(deaddfonlyXvrs) == 2
@test noutputs(deaddfonlyXvrs) == 1
@test efficiency(deaddfonlyXvrs) ≈ [0.0000000000;
0.1300138313;
0.0000000000;
0.0000000000;
0.2883597884;
0.0000000000;
0.0000000000;
0.0000000000;
0.0000000000;
0.5068790731;
0.0000000000]
@test slacks(deaddfonlyXvrs, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 0;
0.000000000 4]
@test slacks(deaddfonlyXvrs, :Y) ≈ [0.000000000;
0.000000000;
0.000000000;
0.000000000;
2.698412698;
0.000000000;
0.000000000;
0.000000000;
0.000000000;
0.000000000;
0.000000000]
@test efficiency(deaddf(X, Y, Gx = :Observed, Gy = :Zeros, rts = :VRS)) == efficiency(deaddfonlyXvrs)
# Only Y CRS
deaddfonlyY = deaddf(X, Y, Gx = zeros(size(X)), Gy = Y, rts = :CRS)
@test nobs(deaddfonlyY) == 11
@test ninputs(deaddfonlyY) == 2
@test noutputs(deaddfonlyY) == 1
@test efficiency(deaddfonlyY) ≈ [0.0000000000;
0.6069686411;
0.2197260274;
0.0000000000;
2.2219512195;
0.8000000000;
0.0000000000;
0.3198373984;
0.2193548387;
1.0384615385;
0.0000000000]
@test slacks(deaddfonlyY, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
8 0;
0.000000000 0;
0.000000000 0;
2 0;
0.000000000 0;
0.000000000 4]
@test slacks(deaddfonlyY, :Y) ≈ zeros(11)
@test efficiency(deaddf(X, Y, Gx = :Zeros, Gy = :Observed, rts = :CRS)) == efficiency(deaddfonlyY)
# Only Y VRS
deaddfonlyYvrs = deaddf(X, Y, Gx = zeros(size(X)), Gy = Y, rts = :VRS)
@test nobs(deaddfonlyYvrs) == 11
@test ninputs(deaddfonlyYvrs) == 2
@test noutputs(deaddfonlyYvrs) == 1
@test efficiency(deaddfonlyYvrs) ≈ [0.0000000000;
0.5075187970;
0.0000000000;
0.0000000000;
2.2039473684;
0.0000000000;
0.0000000000;
0.0000000000;
0.0000000000;
0.1923076923;
0.0000000000]
@test slacks(deaddfonlyYvrs, :X) ≈ [0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0.000000000 0;
0 0;
0.000000000 0;
0.000000000 0;
0 0;
5 11;
0.000000000 4]
@test slacks(deaddfonlyYvrs, :Y) ≈ zeros(11) atol = 1e-14
@test efficiency(deaddf(X, Y, Gx = :Zeros, Gy = :Observed, rts = :VRS)) == efficiency(deaddfonlyYvrs)
# Mean CRS
deaddfmean = deaddf(X, Y, Gx = :Mean, Gy = :Mean, rts = :CRS)
@test efficiency(deaddfmean) ≈ [0; 0.1713509018; 0.1082533683; 0; 0.3584401184; 0.1148158887; 0; 0.1934829069; 0.1084372282; 0.5444473258; 0]
# Mean VRS
deaddfmeanvrs = deaddf(X, Y, Gx = :Mean, Gy = :Mean, rts = :VRS)
@test efficiency(deaddfmeanvrs) ≈ [0; 0.08056567388; 0; 0;0.23098350118; 0; 0; 0; 0; 0.24886877828; 0]
# Test no slacks
deaddfnoslack = deaddf(X, Y, Gx = X, Gy = Y, slack = false)
@test efficiency(deaddfnoslack) == efficiency(deaddfobs)
@test isempty(slacks(deaddfnoslack, :X)) == 1
@test isempty(slacks(deaddfnoslack, :Y)) == 1
@test efficiency(dea(targets(deaddfnoslack, :X), targets(deaddfnoslack, :Y), slack = false)) ≈ ones(11)
@test efficiency(deaadd(targets(deaddfnoslack, :X), targets(deaddfnoslack, :Y))) != zeros(11) # Different as there is no slacks in first model
## Test if one-by-one DEA using evaluation and reference sets match initial results
deaddfobs_ref_eff = zeros(size(X, 1))
deaddfobsvs_ref_eff = zeros(size(X, 1))
deaddfvrs_ref_slackX = zeros(size(X))
deaddfvrs_ref_slackY = zeros(size(Y))
Gx = X[:,:]
Gy = Y[:,:]
Xref = X[:,:]
Yref = Y[:,:]
for i = 1:size(X, 1)
Xeval = X[i:i,:]
Xeval = Xeval[:,:]
Yeval = Y[i:i,:]
Yeval = Yeval[:,:]
Gxeval = Gx[i:i,:]
Gxeval = Gxeval[:,:]
Gyeval = Gy[i:i,:]
Gyeval = Gyeval[:,:]
deaddfobs_ref_eff[i] = efficiency(deaddf(Xeval, Yeval, Gx = Gxeval, Gy = Gyeval, rts = :CRS, Xref = Xref, Yref = Yref))[1]
deaddfobsvs_ref_eff[i] = efficiency(deaddf(Xeval, Yeval, Gx = Gxeval, Gy = Gyeval, rts = :VRS, Xref = Xref, Yref = Yref))[1]
deaddfvrs_ref_slackX[i,:] = slacks(deaddf(Xeval, Yeval, Gx = Gxeval, Gy = Gyeval, rts = :VRS, Xref = Xref, Yref = Yref), :X)
deaddfvrs_ref_slackY[i,:] = slacks(deaddf(Xeval, Yeval, Gx = Gxeval, Gy = Gyeval, rts = :VRS, Xref = Xref, Yref = Yref), :Y)
end
@test deaddfobs_ref_eff ≈ efficiency(deaddfobs)
@test deaddfobsvs_ref_eff ≈ efficiency(deaddfobsvrs)
@test deaddfvrs_ref_slackX ≈ slacks(deaddfobsvrs, :X) atol=1e-14
@test deaddfvrs_ref_slackY ≈ slacks(deaddfobsvrs, :Y) atol=1e-15
# Print
show(IOBuffer(), deaddfobs)
show(IOBuffer(), deaddfnoslack)
# Test errors
@test_throws DimensionMismatch deaddf([1; 2 ; 3], [4 ; 5], Gx = [1; 2 ; 3], Gy = [4 ; 5]) # Different number of observations
@test_throws DimensionMismatch deaddf([1; 2], [4 ; 5], Gx = [1; 2], Gy = [4 ; 5], Xref = [1; 2; 3; 4]) # Different number of observations in reference sets
@test_throws DimensionMismatch deaddf([1 1; 2 2], [4 4; 5 5], Gx = [1 1; 2 2], Gy = [4 4; 5 5], Xref = [1 1 1; 2 2 2]) # Different number of inputs
@test_throws DimensionMismatch deaddf([1 1; 2 2], [4 4; 5 5], Gx = [1 1; 2 2], Gy = [4 4; 5 5], Yref = [4 4 4; 5 5 5]) # Different number of inputs
@test_throws ArgumentError deaddf([1; 2; 3], [4; 5; 6], Gx = [1; 2; 3], Gy = [4; 5; 6], rts = :Error) # Invalid returns to scale
@test_throws DimensionMismatch deaddf([1 1; 2 2; 3 3], [4; 5; 6], Gx = [1 1 1; 2 2 2; 3 3 3], Gy = [4; 5; 6]) # Different size of inputs direction
@test_throws DimensionMismatch deaddf([1; 2; 3], [4 4; 5 5; 6 6], Gx = [1; 2; 3], Gy = [4 4 4; 5 5 5; 6 6 6]) # Different size of inputs direction
@test_throws ArgumentError deaddf([1; 2; 3], [1; 2; 3], Gx = :Error, Gy = :Ones) # Invalid inuts direction
@test_throws ArgumentError deaddf([1; 2; 3], [1; 2; 3], Gx = :Ones, Gy = :Error) # Invalid outputs direction
# ------------------
# 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]
@test efficiency(deaddf(X, Y, Gx = X, Gy = Y)) ≈ [0; 0; 0; 0.25; 0.4285714286; 0; 0.2; 0.2307692308]
# 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]
@test efficiency(deaddf(X, Y, Gx = X, Gy = Y)) ≈ [0; 0; 0; 0.2173913043; 0.4; 0; 0.12; 0.2307692308]
# 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]
@test efficiency(deaddf(X, Y, Gx = X, Gy = Y)) ≈ [0.4285714286; 0; 0.1111111111; 0.25; 0.4285714286; 0.4285714286; 0.3207547170; 0.6666666667]
end
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