CREA.RBS.RdCREA-RBS is a rule reduction method for allocating a significance value to each rule in the system so that experts may select the rules that should be considered as preferable and understand the exact degree of correlation between the different rule attributes.
| formula | a formula of the form y ~ x1 + x2 + ... |
|---|---|
| data | the data frame that contains the variables specified in |
A MLA object of subclass CREA-RBS
Significance is calculated from the antecedent frequency and rule frequency parameters for each rule; if the first one is above the minimal level and rule frequency is in a critical interval, its significance ratio is computed by the algorithm. These critical boundaries are calculated by an incremental method and the rule space is divided according to them. The significance function is defined for these intervals.
Almiñana, M., Escudero, L. F., Pérez-Martín, A., Rabasa, A., & Santamaría, L. (2014). A classification rule reduction algorithm based on significance domains. Top, 22(1), 397-418.
## Load a Dataset data(EGATUR) ## Generate a CREA-RBS model, remmember only support discretized variables CREA.RBS(GastoTotalD~pais+aloja+motivo,data=EGATUR)#> pais aloja motivo #> 1 UK Hotels Leisure #> 2 Germany Hotels Leisure #> 3 France Hotels Leisure #> 4 UK Over-The-Counter Accommodation Leisure #> 5 Italy Hotels Leisure #> 6 France Over-The-Counter Accommodation Leisure #> 7 Nordic countries Hotels Leisure #> 8 UK Over-The-Counter Accommodation Others #> 9 Netherlands Hotels Leisure #> 10 UK Hotels Leisure #> 11 UK Over-The-Counter Accommodation Leisure #> 12 Netherlands Hotels Leisure #> 13 France Over-The-Counter Accommodation Leisure #> 14 France Hotels Leisure #> 15 Italy Hotels Leisure #> 16 UK Over-The-Counter Accommodation Others #> 17 Rest of world Hotels Leisure #> 18 Rest of America Hotels Leisure #> 19 Nordic countries Hotels Leisure #> 20 UK Hotels Leisure #> 21 UK Over-The-Counter Accommodation Leisure #> 22 UK Over-The-Counter Accommodation Others #> 23 Portugal Over-The-Counter Accommodation Others #> 24 Switzerland Hotels Business #> 25 Portugal Hotels Others #> 26 Italy Hotels Others #> 27 Portugal Over-The-Counter Accommodation Leisure #> 28 UK Rest of market Others #> 29 Germany Over-The-Counter Accommodation Business #> 30 France Over-The-Counter Accommodation Business #> 31 Switzerland Hotels Others #> 32 Rest of America Hotels Others #> 33 Rusia Over-The-Counter Accommodation Leisure #> 34 Germany Rest of market Others #> 35 Italy Over-The-Counter Accommodation Business #> 36 Netherlands Hotels Others #> 37 Ireland Hotels Business #> 38 Nordic countries Hotels Others #> 39 Switzerland Over-The-Counter Accommodation Business #> 40 USA Rest of market Leisure #> 41 USA Rest of market Leisure #> 42 France Rest of market Others #> 43 Portugal Over-The-Counter Accommodation Business #> 44 Belgium Hotels Others #> 45 Italy Rest of market Others #> 46 Rest of Europe Over-The-Counter Accommodation Business #> 47 Rest of America Hotels Others #> 48 Rest of America Rest of market Others #> 49 Rest of Europe Hotels Others #> 50 USA Hotels Others #> 51 USA Hotels Others #> 52 Belgium Over-The-Counter Accommodation Business #> 53 France Rest of market Business #> 54 Italy Rest of market Business #> 55 Rest of America Rest of market Others #> 56 Rest of Europe Rest of market Business #> 57 Rusia Over-The-Counter Accommodation Others #> 58 Netherlands Over-The-Counter Accommodation Business #> 59 Rest of America Over-The-Counter Accommodation Business #> 60 Portugal Rest of market Leisure #> 61 Rusia Hotels Business #> 62 Nordic countries Over-The-Counter Accommodation Business #> 63 Nordic countries Rest of market Others #> 64 UK Rest of market Others #> 65 Ireland Hotels Others #> 66 Rest of world Rest of market Business #> 67 Rusia Rest of market Leisure #> 68 Rusia Rest of market Leisure #> 69 UK Rest of market Business #> 70 Germany Rest of market Business #> 71 Germany Rest of market Others #> 72 Nordic countries Rest of market Business #> 73 Rest of America Rest of market Business #> 74 Rest of Europe Over-The-Counter Accommodation Business #> 75 Rest of world Rest of market Others #> 76 France Rest of market Others #> 77 Italy Rest of market Others #> 78 Italy Rest of market Others #> 79 Netherlands Rest of market Others #> 80 Rest of Europe Rest of market Business #> 81 Rest of world Rest of market Business #> 82 Rusia Over-The-Counter Accommodation Leisure #> 83 USA Rest of market Others #> 84 France Rest of market Others #> 85 Ireland Rest of market Others #> 86 Netherlands Rest of market Business #> 87 Rest of America Over-The-Counter Accommodation Business #> 88 Rest of Europe Rest of market Others #> 89 Rest of world Over-The-Counter Accommodation Business #> 90 Rest of world Over-The-Counter Accommodation Business #> 91 Rest of world Rest of market Others #> 92 Rusia Hotels Business #> 93 Rusia Hotels Others #> 94 Rusia Over-The-Counter Accommodation Others #> 95 Switzerland Rest of market Others #> 96 UK Rest of market Business #> 97 Belgium Rest of market Business #> 98 Belgium Rest of market Others #> 99 Germany Over-The-Counter Accommodation Business #> 100 Germany Rest of market Others #> 101 Italy Over-The-Counter Accommodation Business #> 102 Italy Rest of market Business #> 103 Portugal Rest of market Business #> 104 Portugal Rest of market Others #> 105 Rest of Europe Hotels Others #> 106 Rest of Europe Rest of market Others #> 107 Rest of world Rest of market Business #> 108 Switzerland Rest of market Others #> 109 USA Over-The-Counter Accommodation Business #> 110 USA Over-The-Counter Accommodation Business #> 111 USA Rest of market Others #> 112 Belgium Over-The-Counter Accommodation Business #> 113 Belgium Rest of market Others #> 114 Belgium Rest of market Others #> 115 Germany Rest of market Business #> 116 Ireland Over-The-Counter Accommodation Business #> 117 Ireland Rest of market Business #> 118 Netherlands Hotels Others #> 119 Netherlands Rest of market Business #> 120 Netherlands Rest of market Business #> 121 Netherlands Rest of market Others #> 122 Netherlands Rest of market Others #> 123 Nordic countries Over-The-Counter Accommodation Business #> 124 Nordic countries Rest of market Others #> 125 Nordic countries Rest of market Others #> 126 Rest of America Hotels Others #> 127 Rest of America Rest of market Business #> 128 Rest of America Rest of market Others #> 129 Rest of Europe Rest of market Others #> 130 Rest of world Over-The-Counter Accommodation Business #> 131 Rest of world Rest of market Others #> 132 Rusia Over-The-Counter Accommodation Business #> 133 Switzerland Hotels Business #> 134 Switzerland Over-The-Counter Accommodation Business #> 135 Switzerland Rest of market Business #> 136 USA Rest of market Business #> 137 USA Rest of market Business #> 138 USA Rest of market Others #> GastoTotalD totalRegla total.casos Support Confidence Region #> 1 [17,1.67e+03) 1407 1471 9.633268e-02 0.9564921822 2 #> 2 [17,1.67e+03) 884 1007 6.594630e-02 0.8778550149 2 #> 3 [17,1.67e+03) 796 809 5.297970e-02 0.9839307787 2 #> 4 [17,1.67e+03) 616 680 4.453176e-02 0.9058823529 2 #> 5 [17,1.67e+03) 484 494 3.235102e-02 0.9797570850 2 #> 6 [17,1.67e+03) 469 488 3.195809e-02 0.9610655738 2 #> 7 [17,1.67e+03) 455 556 3.641126e-02 0.8183453237 2 #> 8 [17,1.67e+03) 363 373 2.442698e-02 0.9731903485 2 #> 9 [17,1.67e+03) 337 363 2.377210e-02 0.9283746556 2 #> 10 [1.67e+03,5.51e+03) 63 1471 9.633268e-02 0.0428280082 1 #> 11 [1.67e+03,5.51e+03) 63 680 4.453176e-02 0.0926470588 1 #> 12 [1.67e+03,5.51e+03) 26 363 2.377210e-02 0.0716253444 1 #> 13 [1.67e+03,5.51e+03) 19 488 3.195809e-02 0.0389344262 1 #> 14 [1.67e+03,5.51e+03) 13 809 5.297970e-02 0.0160692213 1 #> 15 [1.67e+03,5.51e+03) 10 494 3.235102e-02 0.0202429150 1 #> 16 [1.67e+03,5.51e+03) 9 373 2.442698e-02 0.0241286863 1 #> 17 [5.51e+03,1.99e+04] 7 477 3.123772e-02 0.0146750524 1 #> 18 [5.51e+03,1.99e+04] 3 378 2.475442e-02 0.0079365079 1 #> 19 [5.51e+03,1.99e+04] 2 556 3.641126e-02 0.0035971223 1 #> 20 [5.51e+03,1.99e+04] 1 1471 9.633268e-02 0.0006798097 1 #> 21 [5.51e+03,1.99e+04] 1 680 4.453176e-02 0.0014705882 1 #> 22 [5.51e+03,1.99e+04] 1 373 2.442698e-02 0.0026809651 1 #> 23 [17,1.67e+03) 34 34 2.226588e-03 1.0000000000 3 #> 24 [17,1.67e+03) 31 32 2.095612e-03 0.9687500000 3 #> 25 [17,1.67e+03) 30 30 1.964637e-03 1.0000000000 3 #> 26 [17,1.67e+03) 29 29 1.899149e-03 1.0000000000 3 #> 27 [17,1.67e+03) 26 26 1.702685e-03 1.0000000000 3 #> 28 [17,1.67e+03) 25 32 2.095612e-03 0.7812500000 3 #> 29 [17,1.67e+03) 24 26 1.702685e-03 0.9230769231 3 #> 30 [17,1.67e+03) 23 23 1.506221e-03 1.0000000000 3 #> 31 [17,1.67e+03) 23 23 1.506221e-03 1.0000000000 3 #> 32 [1.67e+03,5.51e+03) 22 35 2.292076e-03 0.6285714286 3 #> 33 [17,1.67e+03) 22 26 1.702685e-03 0.8461538462 3 #> 34 [17,1.67e+03) 20 27 1.768173e-03 0.7407407407 3 #> 35 [17,1.67e+03) 18 20 1.309758e-03 0.9000000000 3 #> 36 [17,1.67e+03) 18 19 1.244270e-03 0.9473684211 3 #> 37 [17,1.67e+03) 17 17 1.113294e-03 1.0000000000 3 #> 38 [17,1.67e+03) 17 17 1.113294e-03 1.0000000000 3 #> 39 [17,1.67e+03) 17 18 1.178782e-03 0.9444444444 3 #> 40 [17,1.67e+03) 16 31 2.030124e-03 0.5161290323 3 #> 41 [1.67e+03,5.51e+03) 15 31 2.030124e-03 0.4838709677 3 #> 42 [17,1.67e+03) 14 21 1.375246e-03 0.6666666667 3 #> 43 [17,1.67e+03) 14 14 9.168304e-04 1.0000000000 3 #> 44 [17,1.67e+03) 13 13 8.513425e-04 1.0000000000 3 #> 45 [17,1.67e+03) 13 21 1.375246e-03 0.6190476190 3 #> 46 [17,1.67e+03) 13 18 1.178782e-03 0.7222222222 3 #> 47 [17,1.67e+03) 12 35 2.292076e-03 0.3428571429 3 #> 48 [5.51e+03,1.99e+04] 12 23 1.506221e-03 0.5217391304 3 #> 49 [17,1.67e+03) 12 14 9.168304e-04 0.8571428571 3 #> 50 [17,1.67e+03) 11 22 1.440733e-03 0.5000000000 3 #> 51 [1.67e+03,5.51e+03) 11 22 1.440733e-03 0.5000000000 3 #> 52 [17,1.67e+03) 10 11 7.203667e-04 0.9090909091 3 #> 53 [17,1.67e+03) 10 10 6.548788e-04 1.0000000000 3 #> 54 [17,1.67e+03) 10 12 7.858546e-04 0.8333333333 3 #> 55 [1.67e+03,5.51e+03) 10 23 1.506221e-03 0.4347826087 3 #> 56 [17,1.67e+03) 10 14 9.168304e-04 0.7142857143 3 #> 57 [17,1.67e+03) 10 13 8.513425e-04 0.7692307692 3 #> 58 [17,1.67e+03) 9 9 5.893910e-04 1.0000000000 3 #> 59 [1.67e+03,5.51e+03) 9 12 7.858546e-04 0.7500000000 3 #> 60 [17,1.67e+03) 8 8 5.239031e-04 1.0000000000 3 #> 61 [17,1.67e+03) 8 11 7.203667e-04 0.7272727273 3 #> 62 [17,1.67e+03) 7 8 5.239031e-04 0.8750000000 3 #> 63 [1.67e+03,5.51e+03) 7 9 5.893910e-04 0.7777777778 3 #> 64 [1.67e+03,5.51e+03) 7 32 2.095612e-03 0.2187500000 3 #> 65 [17,1.67e+03) 6 6 3.929273e-04 1.0000000000 3 #> 66 [1.67e+03,5.51e+03) 6 12 7.858546e-04 0.5000000000 3 #> 67 [17,1.67e+03) 6 12 7.858546e-04 0.5000000000 3 #> 68 [1.67e+03,5.51e+03) 6 12 7.858546e-04 0.5000000000 3 #> 69 [17,1.67e+03) 6 9 5.893910e-04 0.6666666667 3 #> 70 [17,1.67e+03) 5 6 3.929273e-04 0.8333333333 3 #> 71 [1.67e+03,5.51e+03) 5 27 1.768173e-03 0.1851851852 3 #> 72 [17,1.67e+03) 5 5 3.274394e-04 1.0000000000 3 #> 73 [5.51e+03,1.99e+04] 5 6 3.929273e-04 0.8333333333 3 #> 74 [1.67e+03,5.51e+03) 5 18 1.178782e-03 0.2777777778 3 #> 75 [5.51e+03,1.99e+04] 5 9 5.893910e-04 0.5555555556 3 #> 76 [1.67e+03,5.51e+03) 4 21 1.375246e-03 0.1904761905 3 #> 77 [1.67e+03,5.51e+03) 4 21 1.375246e-03 0.1904761905 3 #> 78 [5.51e+03,1.99e+04] 4 21 1.375246e-03 0.1904761905 3 #> 79 [17,1.67e+03) 4 6 3.929273e-04 0.6666666667 3 #> 80 [1.67e+03,5.51e+03) 4 14 9.168304e-04 0.2857142857 3 #> 81 [17,1.67e+03) 4 12 7.858546e-04 0.3333333333 3 #> 82 [1.67e+03,5.51e+03) 4 26 1.702685e-03 0.1538461538 3 #> 83 [5.51e+03,1.99e+04] 4 7 4.584152e-04 0.5714285714 3 #> 84 [5.51e+03,1.99e+04] 3 21 1.375246e-03 0.1428571429 3 #> 85 [17,1.67e+03) 3 3 1.964637e-04 1.0000000000 3 #> 86 [17,1.67e+03) 3 5 3.274394e-04 0.6000000000 3 #> 87 [17,1.67e+03) 3 12 7.858546e-04 0.2500000000 3 #> 88 [17,1.67e+03) 3 6 3.929273e-04 0.5000000000 3 #> 89 [17,1.67e+03) 3 7 4.584152e-04 0.4285714286 3 #> 90 [1.67e+03,5.51e+03) 3 7 4.584152e-04 0.4285714286 3 #> 91 [1.67e+03,5.51e+03) 3 9 5.893910e-04 0.3333333333 3 #> 92 [1.67e+03,5.51e+03) 3 11 7.203667e-04 0.2727272727 3 #> 93 [17,1.67e+03) 3 3 1.964637e-04 1.0000000000 3 #> 94 [1.67e+03,5.51e+03) 3 13 8.513425e-04 0.2307692308 3 #> 95 [17,1.67e+03) 3 5 3.274394e-04 0.6000000000 3 #> 96 [1.67e+03,5.51e+03) 3 9 5.893910e-04 0.3333333333 3 #> 97 [17,1.67e+03) 2 2 1.309758e-04 1.0000000000 3 #> 98 [5.51e+03,1.99e+04] 2 4 2.619515e-04 0.5000000000 3 #> 99 [1.67e+03,5.51e+03) 2 26 1.702685e-03 0.0769230769 3 #> 100 [5.51e+03,1.99e+04] 2 27 1.768173e-03 0.0740740741 3 #> 101 [1.67e+03,5.51e+03) 2 20 1.309758e-03 0.1000000000 3 #> 102 [1.67e+03,5.51e+03) 2 12 7.858546e-04 0.1666666667 3 #> 103 [17,1.67e+03) 2 2 1.309758e-04 1.0000000000 3 #> 104 [17,1.67e+03) 2 2 1.309758e-04 1.0000000000 3 #> 105 [1.67e+03,5.51e+03) 2 14 9.168304e-04 0.1428571429 3 #> 106 [5.51e+03,1.99e+04] 2 6 3.929273e-04 0.3333333333 3 #> 107 [5.51e+03,1.99e+04] 2 12 7.858546e-04 0.1666666667 3 #> 108 [1.67e+03,5.51e+03) 2 5 3.274394e-04 0.4000000000 3 #> 109 [17,1.67e+03) 2 4 2.619515e-04 0.5000000000 3 #> 110 [1.67e+03,5.51e+03) 2 4 2.619515e-04 0.5000000000 3 #> 111 [1.67e+03,5.51e+03) 2 7 4.584152e-04 0.2857142857 3 #> 112 [1.67e+03,5.51e+03) 1 11 7.203667e-04 0.0909090909 3 #> 113 [17,1.67e+03) 1 4 2.619515e-04 0.2500000000 3 #> 114 [1.67e+03,5.51e+03) 1 4 2.619515e-04 0.2500000000 3 #> 115 [1.67e+03,5.51e+03) 1 6 3.929273e-04 0.1666666667 3 #> 116 [17,1.67e+03) 1 1 6.548788e-05 1.0000000000 3 #> 117 [17,1.67e+03) 1 1 6.548788e-05 1.0000000000 3 #> 118 [1.67e+03,5.51e+03) 1 19 1.244270e-03 0.0526315789 3 #> 119 [1.67e+03,5.51e+03) 1 5 3.274394e-04 0.2000000000 3 #> 120 [5.51e+03,1.99e+04] 1 5 3.274394e-04 0.2000000000 3 #> 121 [1.67e+03,5.51e+03) 1 6 3.929273e-04 0.1666666667 3 #> 122 [5.51e+03,1.99e+04] 1 6 3.929273e-04 0.1666666667 3 #> 123 [1.67e+03,5.51e+03) 1 8 5.239031e-04 0.1250000000 3 #> 124 [17,1.67e+03) 1 9 5.893910e-04 0.1111111111 3 #> 125 [5.51e+03,1.99e+04] 1 9 5.893910e-04 0.1111111111 3 #> 126 [5.51e+03,1.99e+04] 1 35 2.292076e-03 0.0285714286 3 #> 127 [1.67e+03,5.51e+03) 1 6 3.929273e-04 0.1666666667 3 #> 128 [17,1.67e+03) 1 23 1.506221e-03 0.0434782609 3 #> 129 [1.67e+03,5.51e+03) 1 6 3.929273e-04 0.1666666667 3 #> 130 [5.51e+03,1.99e+04] 1 7 4.584152e-04 0.1428571429 3 #> 131 [17,1.67e+03) 1 9 5.893910e-04 0.1111111111 3 #> 132 [17,1.67e+03) 1 1 6.548788e-05 1.0000000000 3 #> 133 [1.67e+03,5.51e+03) 1 32 2.095612e-03 0.0312500000 3 #> 134 [1.67e+03,5.51e+03) 1 18 1.178782e-03 0.0555555556 3 #> 135 [1.67e+03,5.51e+03) 1 1 6.548788e-05 1.0000000000 3 #> 136 [1.67e+03,5.51e+03) 1 2 1.309758e-04 0.5000000000 3 #> 137 [5.51e+03,1.99e+04] 1 2 1.309758e-04 0.5000000000 3 #> 138 [17,1.67e+03) 1 7 4.584152e-04 0.1428571429 3 #> Importance #> 1 0.09214145 #> 2 0.05789129 #> 3 0.05212836 #> 4 0.04034054 #> 5 0.03169614 #> 6 0.03071382 #> 7 0.02979699 #> 8 0.02377210 #> 9 0.02206942 #> 10 -0.99587426 #> 11 -0.99587426 #> 12 -0.99829731 #> 13 -0.99875573 #> 14 -0.99914866 #> 15 -0.99934512 #> 16 -0.99941061 #> 17 -0.99954158 #> 18 -0.99980354 #> 19 -0.99986902 #> 20 -0.99993451 #> 21 -0.99993451 #> 22 -0.99993451 #> 23 -1.99777341 #> 24 -1.99796988 #> 25 -1.99803536 #> 26 -1.99810085 #> 27 -1.99829731 #> 28 -1.99836280 #> 29 -1.99842829 #> 30 -1.99849378 #> 31 -1.99849378 #> 32 -1.99855927 #> 33 -1.99855927 #> 34 -1.99869024 #> 35 -1.99882122 #> 36 -1.99882122 #> 37 -1.99888671 #> 38 -1.99888671 #> 39 -1.99888671 #> 40 -1.99895219 #> 41 -1.99901768 #> 42 -1.99908317 #> 43 -1.99908317 #> 44 -1.99914866 #> 45 -1.99914866 #> 46 -1.99914866 #> 47 -1.99921415 #> 48 -1.99921415 #> 49 -1.99921415 #> 50 -1.99927963 #> 51 -1.99927963 #> 52 -1.99934512 #> 53 -1.99934512 #> 54 -1.99934512 #> 55 -1.99934512 #> 56 -1.99934512 #> 57 -1.99934512 #> 58 -1.99941061 #> 59 -1.99941061 #> 60 -1.99947610 #> 61 -1.99947610 #> 62 -1.99954158 #> 63 -1.99954158 #> 64 -1.99954158 #> 65 -1.99960707 #> 66 -1.99960707 #> 67 -1.99960707 #> 68 -1.99960707 #> 69 -1.99960707 #> 70 -1.99967256 #> 71 -1.99967256 #> 72 -1.99967256 #> 73 -1.99967256 #> 74 -1.99967256 #> 75 -1.99967256 #> 76 -1.99973805 #> 77 -1.99973805 #> 78 -1.99973805 #> 79 -1.99973805 #> 80 -1.99973805 #> 81 -1.99973805 #> 82 -1.99973805 #> 83 -1.99973805 #> 84 -1.99980354 #> 85 -1.99980354 #> 86 -1.99980354 #> 87 -1.99980354 #> 88 -1.99980354 #> 89 -1.99980354 #> 90 -1.99980354 #> 91 -1.99980354 #> 92 -1.99980354 #> 93 -1.99980354 #> 94 -1.99980354 #> 95 -1.99980354 #> 96 -1.99980354 #> 97 -1.99986902 #> 98 -1.99986902 #> 99 -1.99986902 #> 100 -1.99986902 #> 101 -1.99986902 #> 102 -1.99986902 #> 103 -1.99986902 #> 104 -1.99986902 #> 105 -1.99986902 #> 106 -1.99986902 #> 107 -1.99986902 #> 108 -1.99986902 #> 109 -1.99986902 #> 110 -1.99986902 #> 111 -1.99986902 #> 112 -1.99993451 #> 113 -1.99993451 #> 114 -1.99993451 #> 115 -1.99993451 #> 116 -1.99993451 #> 117 -1.99993451 #> 118 -1.99993451 #> 119 -1.99993451 #> 120 -1.99993451 #> 121 -1.99993451 #> 122 -1.99993451 #> 123 -1.99993451 #> 124 -1.99993451 #> 125 -1.99993451 #> 126 -1.99993451 #> 127 -1.99993451 #> 128 -1.99993451 #> 129 -1.99993451 #> 130 -1.99993451 #> 131 -1.99993451 #> 132 -1.99993451 #> 133 -1.99993451 #> 134 -1.99993451 #> 135 -1.99993451 #> 136 -1.99993451 #> 137 -1.99993451 #> 138 -1.99993451