We will discuss the problem a discriminating between 2 populations. We will consider
the following data from a study of Irish Education. The data originally come from
Greaney and Kelleghan (1984) and were reanalyzed by Raftery and Hout (1985, 1993).
I found the data at the following sites:
http://www.stat.washington.edu/quinn/classes/536/S/logitexample2.html
and
http://lib.stat.cmu.edu/datasets/irish.ed
sex DVRT_score Ed_level_attained lvcert fathers_prestige school_type 1 113 3 0 28 1 1 101 1 0 28 9 1 110 9 1 69 1 1 121 5 0 57 1 1 82 4 0 18 2 1 85 4 0 28 2 1 84 1 0 * 9 1 98 2 0 43 2 1 92 4 0 33 2 1 90 1 0 18 9 1 88 4 0 28 2 1 84 4 0 18 2 1 114 11 1 18 1 1 70 4 0 57 2 1 109 9 1 40 1 1 83 4 0 43 2 1 108 4 0 69 2 1 95 3 0 43 1 1 90 4 0 28 2 1 107 9 1 28 1 1 86 1 0 18 9 1 70 2 0 43 2 1 114 9 1 * 1 1 117 9 1 42 1 1 112 9 1 43 1 1 88 11 1 * 1 1 106 11 1 42 1 1 125 11 1 28 1 1 94 9 1 * 1 1 103 5 0 * 1 1 123 9 1 46 1 1 100 4 0 35 2 1 90 3 0 27 1 1 70 4 0 51 2 1 90 3 0 46 1 1 99 3 0 * 1 1 123 3 0 43 1 1 127 9 1 43 1 1 124 9 1 62 1 1 110 6 0 27 2 1 94 9 1 43 1 1 112 9 1 40 1 1 123 9 1 35 1 1 70 3 0 18 1 1 102 4 0 43 2 1 126 11 1 27 1 1 121 9 1 40 1 1 100 2 0 43 2 1 85 2 0 31 2 1 86 4 0 31 2 1 101 2 0 28 2 1 91 5 0 40 1 1 113 9 1 43 1 1 103 4 0 33 2 1 117 7 0 18 1 1 72 2 0 43 2 1 70 1 0 18 9 1 112 3 0 18 1 1 65 1 0 18 9 1 97 5 0 35 1 1 100 4 0 43 2 1 99 4 0 18 2 1 91 2 0 28 2 1 107 0 0 43 1 1 94 2 0 43 2 1 104 5 0 36 1 1 117 9 1 * 1 1 104 5 0 43 1 1 115 0 0 66 1 2 123 7 0 35 1 2 103 5 0 43 1 2 109 4 0 43 2 2 99 5 0 61 1 2 100 11 1 47 1 2 100 5 0 62 1 2 107 9 1 40 1 2 70 1 0 18 9 2 91 5 0 30 1 2 117 9 1 43 1 2 115 9 1 57 1 2 93 5 0 43 1 2 103 9 1 30 1 2 99 5 0 57 1 2 115 3 0 36 1 2 104 9 1 38 1 2 116 5 0 47 1 2 94 3 0 51 1 2 114 11 1 43 1 2 113 5 0 18 1 2 106 2 0 * 2 2 119 9 1 57 1 2 114 9 1 48 1 2 108 9 1 27 1 2 97 3 0 46 1 2 83 1 0 28 9 2 103 5 0 43 1 2 104 5 0 64 1 2 97 5 0 18 1 2 109 5 0 69 1 2 90 5 0 33 1 2 114 4 0 28 2 2 99 5 0 38 1 2 94 9 1 35 1 2 86 5 0 28 1 2 93 9 1 35 1 2 91 4 0 28 2 2 109 7 0 40 1 2 91 5 0 28 1 2 106 4 0 28 2 2 109 9 1 43 1 2 111 5 0 51 1 2 111 5 0 * 1 2 106 4 0 * 2 2 86 4 0 40 2 2 107 3 0 18 1 2 103 1 0 28 9 2 100 3 0 18 1 2 101 5 0 38 1 2 97 2 0 36 2 2 105 4 0 46 2 2 98 2 0 37 2 2 111 5 0 18 1 2 88 3 0 57 1 2 123 5 0 28 1 2 98 5 0 33 1 2 94 4 0 43 2 2 109 5 0 28 1 2 70 1 0 18 9 2 75 2 0 33 2 2 72 9 1 18 1 2 70 2 0 18 2 2 70 1 0 18 9 2 70 1 0 18 9 2 70 1 0 18 9 2 85 1 0 18 9 2 108 4 0 28 2 2 75 2 0 28 2 2 104 9 1 * 1 2 103 5 0 38 1 2 122 11 1 38 1 2 110 9 1 40 1 1 107 9 1 40 1 1 104 11 1 75 1 1 70 5 0 58 1 1 116 0 0 18 1 1 103 1 0 43 9 1 95 9 1 43 1 1 113 4 0 * 2 1 126 2 0 61 2 1 118 9 1 71 1 1 115 9 1 27 1 1 89 2 0 43 2 1 113 11 1 61 1 1 85 9 1 37 1 1 95 9 1 43 1 1 109 11 1 57 1 1 111 9 1 69 1 1 116 9 1 75 1 1 90 6 0 43 2 1 90 2 0 28 2 1 82 1 0 31 9 1 84 0 0 33 1 1 117 6 0 28 2 1 71 6 0 40 2 1 104 10 1 69 1 1 86 2 0 18 2 1 79 4 0 46 2 1 80 4 0 65 2 1 99 9 1 18 1 1 86 2 0 61 2 1 116 11 1 18 1 1 124 9 1 65 1 1 98 1 0 28 9 1 101 5 0 35 1 1 87 1 0 43 9 1 97 11 1 40 1 1 120 11 1 43 1 1 103 9 1 43 1 1 107 9 1 40 1 1 105 7 0 57 1 1 99 8 1 37 2 1 103 8 1 28 2 1 101 3 0 28 1 2 102 5 0 18 1 2 105 8 1 18 2 2 70 2 0 18 2 2 101 11 1 43 1 2 90 8 1 42 2 2 85 9 1 43 1 2 104 9 1 18 1 2 87 8 1 18 2 2 85 9 1 37 1 2 102 4 0 42 2 2 94 5 0 37 1 2 93 9 1 37 1 2 99 11 1 37 1 2 103 9 1 38 1 2 89 5 0 18 1 2 77 1 0 * 9 2 92 4 0 37 2 2 109 9 1 43 1 2 91 5 0 18 1 2 109 9 1 58 1 2 105 3 0 57 1 2 105 9 1 18 1 2 90 5 0 69 1 2 99 11 1 69 1 2 110 9 1 37 1 2 88 9 1 37 1 2 101 9 1 66 1 2 91 2 0 18 2 2 78 9 1 18 1 2 118 11 1 65 1 2 100 1 0 28 9 2 100 4 0 18 2 2 85 9 1 57 1 2 106 11 1 61 1 2 70 2 0 * 2 2 97 2 0 18 2 2 86 1 0 * 9 2 92 2 0 18 2 2 102 1 0 38 9 2 86 2 0 18 2 2 78 9 1 46 1 2 100 2 0 18 2 1 104 9 1 61 1 1 70 5 0 31 1 1 107 9 1 75 1 1 114 9 1 37 1 1 103 2 0 31 2 1 115 5 0 37 1 1 106 9 1 57 1 1 114 9 1 61 1 1 90 9 1 58 1 1 103 9 1 37 1 1 92 3 0 58 1 1 113 11 1 37 1 1 92 5 0 37 1 1 108 11 1 37 1 1 96 3 0 18 1 1 70 3 0 18 1 1 112 9 1 75 1 1 106 9 1 28 1 1 91 9 1 37 1 1 96 4 0 18 2 1 70 1 0 18 9 1 109 9 1 57 1 1 74 4 0 37 2 1 99 3 0 43 1 1 107 9 1 37 1 1 90 5 0 37 1 1 78 4 0 31 2 1 70 1 0 37 9 1 88 2 0 58 2 1 93 4 0 18 2 1 88 2 0 43 2 1 108 9 1 58 1 1 101 11 1 57 1 1 98 2 0 28 2 1 103 9 1 35 1 1 73 9 1 37 1 1 109 0 0 43 1 1 102 4 0 37 2 1 93 2 0 37 2 1 93 2 0 18 2 1 101 9 1 61 1 1 100 6 0 37 2 1 70 1 0 31 9 1 102 2 0 18 2 1 113 4 0 28 2 1 91 5 0 37 1 1 109 5 0 37 1 1 80 1 0 58 9 1 118 8 1 18 2 1 70 1 0 58 9 1 88 4 0 37 2 1 72 4 0 37 2 1 81 9 1 58 1 1 70 2 0 37 2 1 97 2 0 18 2 1 87 9 1 40 1 1 99 4 0 18 2 1 81 1 0 18 9 1 84 4 0 18 2 1 90 2 0 58 2 1 95 9 1 37 1 1 84 2 0 61 2 1 104 6 0 40 2 1 105 2 0 31 2 1 107 3 0 58 1 1 84 2 0 40 2 1 108 4 0 * 2 1 70 6 0 18 2 1 99 11 1 37 1 1 87 9 1 18 1 1 81 1 0 18 9 1 103 9 1 43 1 1 114 9 1 37 1 1 101 9 1 35 1 1 70 1 0 58 9 1 70 4 0 * 2 1 109 9 1 * 1 1 78 8 1 58 2 1 70 1 0 37 9 1 70 4 0 58 2 1 104 9 1 37 1 1 86 1 0 18 9 1 99 4 0 35 2 1 98 4 0 58 2 1 118 4 0 18 2 1 76 2 0 * 2 1 102 3 0 18 1 1 106 4 0 37 2 1 108 4 0 35 2 1 110 6 0 37 2 1 110 4 0 37 2 1 89 6 0 28 2 1 83 4 0 18 2 1 96 5 0 37 1 1 113 11 1 65 1 1 95 9 1 37 1 1 108 4 0 38 2 1 96 5 0 28 1 1 79 7 0 61 1 2 99 5 0 37 1 2 107 11 1 37 1 2 94 2 0 37 2 2 88 5 0 37 1 2 82 5 0 57 1 2 100 9 1 57 1 2 102 9 1 40 1 2 111 9 1 58 1 2 111 9 1 57 1 2 94 1 0 58 9 2 94 9 1 18 1 2 93 4 0 18 2 2 90 9 1 58 1 2 84 5 0 18 1 2 100 4 0 27 2 2 106 9 1 51 1 2 114 10 1 57 1 2 101 9 1 * 1 2 115 9 1 43 1 2 108 9 1 58 1 2 117 11 1 51 1 2 110 5 0 28 1 2 93 9 1 43 1 2 114 11 1 * 1 2 72 1 0 * 9 2 116 9 1 * 1 2 117 11 1 37 1 2 102 9 1 40 1 2 84 9 1 18 1 2 94 3 0 28 1 2 81 9 1 37 1 2 101 5 0 18 1 2 91 9 1 37 1 2 93 9 1 38 1 2 116 9 1 18 1 2 90 9 1 57 1 2 115 9 1 35 1 2 89 1 0 18 9 2 108 11 1 37 1 2 100 9 1 18 1 2 86 4 0 37 2 2 84 5 0 37 1 2 90 4 0 37 2 2 103 11 1 28 1 2 100 9 1 57 1 2 102 9 1 43 1 2 82 5 0 35 1 2 83 5 0 37 1 2 113 9 1 37 1 2 117 11 1 57 1 2 111 9 1 18 1 2 100 9 1 37 1 2 91 11 1 58 1 2 97 9 1 58 1 2 109 10 1 43 1 2 100 3 0 37 1 2 98 5 0 37 1 2 85 7 0 35 1 2 91 1 0 18 9 2 85 5 0 31 1 2 81 9 1 37 1 2 87 9 1 37 1 2 95 11 1 37 1 2 102 3 0 37 1 2 94 1 0 38 9 2 89 7 0 37 1 2 112 2 0 37 2 2 118 9 1 37 1 2 70 7 0 37 1 2 103 11 1 37 1 2 90 9 1 37 1 2 97 9 1 37 1 2 104 6 0 37 2 2 91 2 0 37 2 2 94 4 0 37 2 2 107 3 0 57 1 2 90 3 0 37 1 2 70 9 1 37 1 2 97 4 0 37 2 2 104 5 0 18 1 2 96 5 0 28 1 2 81 2 0 18 2 2 114 9 1 28 1 2 106 4 0 18 2 2 105 9 1 18 1 2 92 2 0 28 2 2 96 9 1 38 1 2 84 4 0 18 2 2 89 2 0 18 2 2 111 9 1 58 1 2 102 4 0 18 2 2 99 4 0 37 2 2 104 3 0 37 1 2 70 4 0 31 2 2 70 4 0 35 2 2 90 2 0 18 2 2 104 9 1 18 1 2 102 9 1 37 1 2 86 9 1 37 1 2 73 9 1 35 1 2 81 5 0 37 1 2 93 9 1 57 1 2 111 7 0 37 1 2 104 3 0 18 1 2 105 5 0 28 1 2 73 5 0 37 1 2 85 9 1 28 1 2 107 11 1 61 1 2 112 11 1 62 1 1 127 11 1 40 1 1 114 5 0 66 1 1 114 9 1 71 1 1 109 2 0 18 2 1 93 9 1 51 1 2 114 9 1 40 1 2 100 9 1 31 1 2 92 3 0 18 1 2 110 9 1 61 1 2 93 4 0 37 2 2 96 2 0 43 2 1 120 0 0 75 1 1 114 11 1 75 1 1 127 11 1 40 1 1 106 9 1 75 1 1 110 9 1 53 1 1 92 6 0 38 2 1 125 11 1 71 1 1 108 9 1 71 1 2 112 9 1 18 1 2 93 9 1 69 1 2 114 9 1 75 1 2 104 9 1 18 1 2 92 9 1 75 1 2 104 5 0 43 1 2 109 9 1 71 1 2 109 11 1 40 1 2 104 5 0 18 1 1 123 6 0 36 2 1 125 11 1 31 1 1 127 11 1 37 1 1 129 11 1 43 1 1 119 10 1 69 1 1 125 4 0 71 2 1 121 9 1 37 1 1 124 9 1 36 1 1 125 9 1 18 1 1 129 5 0 18 1 1 122 9 1 62 1 1 121 10 1 37 1 1 129 10 1 * 1 1 122 9 1 40 1 1 126 4 0 51 2 1 122 11 1 35 1 1 123 9 1 65 1 1 119 11 1 71 1 2 120 11 1 40 1 2 127 2 0 35 2 2 127 9 1 62 1 2 120 9 1 61 1 2 127 9 1 58 1 2 123 9 1 37 1 2 120 11 1 37 1 2 123 9 1 37 1 2 122 4 0 18 2 2 119 11 1 37 1 1 130 6 0 * 2 1 134 10 1 62 1 1 136 11 1 61 1 1 135 11 1 61 1 1 140 11 1 71 1 1 131 9 1 30 1 1 137 11 1 62 1 1 136 11 1 18 1 1 132 11 1 37 1 2 135 11 1 62 1 2 134 11 1 * 1