| Box-Cox Normality Plot | |
| # observations x | 163 |
| maximum correlation | 0.908001200767898 |
| optimal lambda | 1.29 |
| transformation formula | for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda |
| Obs. | Original | Transformed |
| 1 | 0.5 | -0.458177496683031 |
| 2 | 0.5 | -0.458177496683031 |
| 3 | 0.5 | -0.458177496683031 |
| 4 | 2.5 | 1.75266552089844 |
| 5 | 2.5 | 1.75266552089844 |
| 6 | 2.5 | 1.75266552089844 |
| 7 | 2.5 | 1.75266552089844 |
| 8 | 3.5 | 3.126543874166 |
| 9 | 3.5 | 3.126543874166 |
| 10 | 3.5 | 3.126543874166 |
| 11 | 3.5 | 3.126543874166 |
| 12 | 3.5 | 3.126543874166 |
| 13 | 3.5 | 3.126543874166 |
| 14 | 3.5 | 3.126543874166 |
| 15 | 4.5 | 4.62058866685531 |
| 16 | 4.5 | 4.62058866685531 |
| 17 | 4.5 | 4.62058866685531 |
| 18 | 4.5 | 4.62058866685531 |
| 19 | 4.5 | 4.62058866685531 |
| 20 | 4.5 | 4.62058866685531 |
| 21 | 4.5 | 4.62058866685531 |
| 22 | 5.5 | 6.21482202950251 |
| 23 | 5.5 | 6.21482202950251 |
| 24 | 5.5 | 6.21482202950251 |
| 25 | 5.5 | 6.21482202950251 |
| 26 | 5.5 | 6.21482202950251 |
| 27 | 5.5 | 6.21482202950251 |
| 28 | 5.5 | 6.21482202950251 |
| 29 | 5.5 | 6.21482202950251 |
| 30 | 5.5 | 6.21482202950251 |
| 31 | 5.5 | 6.21482202950251 |
| 32 | 5.5 | 6.21482202950251 |
| 33 | 5.5 | 6.21482202950251 |
| 34 | 5.5 | 6.21482202950251 |
| 35 | 5.5 | 6.21482202950251 |
| 36 | 5.5 | 6.21482202950251 |
| 37 | 5.5 | 6.21482202950251 |
| 38 | 5.5 | 6.21482202950251 |
| 39 | 5.5 | 6.21482202950251 |
| 40 | 5.5 | 6.21482202950251 |
| 41 | 6.5 | 7.8957928953427 |
| 42 | 6.5 | 7.8957928953427 |
| 43 | 6.5 | 7.8957928953427 |
| 44 | 6.5 | 7.8957928953427 |
| 45 | 6.5 | 7.8957928953427 |
| 46 | 6.5 | 7.8957928953427 |
| 47 | 6.5 | 7.8957928953427 |
| 48 | 6.5 | 7.8957928953427 |
| 49 | 6.5 | 7.8957928953427 |
| 50 | 6.5 | 7.8957928953427 |
| 51 | 6.5 | 7.8957928953427 |
| 52 | 6.5 | 7.8957928953427 |
| 53 | 6.5 | 7.8957928953427 |
| 54 | 6.5 | 7.8957928953427 |
| 55 | 6.5 | 7.8957928953427 |
| 56 | 6.5 | 7.8957928953427 |
| 57 | 7.5 | 9.65372580456229 |
| 58 | 7.5 | 9.65372580456229 |
| 59 | 7.5 | 9.65372580456229 |
| 60 | 7.5 | 9.65372580456229 |
| 61 | 7.5 | 9.65372580456229 |
| 62 | 7.5 | 9.65372580456229 |
| 63 | 7.5 | 9.65372580456229 |
| 64 | 7.5 | 9.65372580456229 |
| 65 | 7.5 | 9.65372580456229 |
| 66 | 8.5 | 11.4811434856536 |
| 67 | 8.5 | 11.4811434856536 |
| 68 | 8.5 | 11.4811434856536 |
| 69 | 8.5 | 11.4811434856536 |
| 70 | 8.5 | 11.4811434856536 |
| 71 | 8.5 | 11.4811434856536 |
| 72 | 8.5 | 11.4811434856536 |
| 73 | 8.5 | 11.4811434856536 |
| 74 | 8.5 | 11.4811434856536 |
| 75 | 8.5 | 11.4811434856536 |
| 76 | 8.5 | 11.4811434856536 |
| 77 | 8.5 | 11.4811434856536 |
| 78 | 8.5 | 11.4811434856536 |
| 79 | 8.5 | 11.4811434856536 |
| 80 | 8.5 | 11.4811434856536 |
| 81 | 9.5 | 13.3721119830928 |
| 82 | 9.5 | 13.3721119830928 |
| 83 | 9.5 | 13.3721119830928 |
| 84 | 9.5 | 13.3721119830928 |
| 85 | 9.5 | 13.3721119830928 |
| 86 | 9.5 | 13.3721119830928 |
| 87 | 9.5 | 13.3721119830928 |
| 88 | 9.5 | 13.3721119830928 |
| 89 | 10.5 | 15.3217892054327 |
| 90 | 10.5 | 15.3217892054327 |
| 91 | 10.5 | 15.3217892054327 |
| 92 | 10.5 | 15.3217892054327 |
| 93 | 10.5 | 15.3217892054327 |
| 94 | 10.5 | 15.3217892054327 |
| 95 | 10.5 | 15.3217892054327 |
| 96 | 10.5 | 15.3217892054327 |
| 97 | 10.5 | 15.3217892054327 |
| 98 | 10.5 | 15.3217892054327 |
| 99 | 10.5 | 15.3217892054327 |
| 100 | 10.5 | 15.3217892054327 |
| 101 | 10.5 | 15.3217892054327 |
| 102 | 10.5 | 15.3217892054327 |
| 103 | 10.5 | 15.3217892054327 |
| 104 | 10.5 | 15.3217892054327 |
| 105 | 10.5 | 15.3217892054327 |
| 106 | 10.5 | 15.3217892054327 |
| 107 | 10.5 | 15.3217892054327 |
| 108 | 10.5 | 15.3217892054327 |
| 109 | 10.5 | 15.3217892054327 |
| 110 | 10.5 | 15.3217892054327 |
| 111 | 10.5 | 15.3217892054327 |
| 112 | 10.5 | 15.3217892054327 |
| 113 | 10.5 | 15.3217892054327 |
| 114 | 10.5 | 15.3217892054327 |
| 115 | 10.5 | 15.3217892054327 |
| 116 | 10.5 | 15.3217892054327 |
| 117 | 10.5 | 15.3217892054327 |
| 118 | 10.5 | 15.3217892054327 |
| 119 | 10.5 | 15.3217892054327 |
| 120 | 10.5 | 15.3217892054327 |
| 121 | 10.5 | 15.3217892054327 |
| 122 | 10.5 | 15.3217892054327 |
| 123 | 10.5 | 15.3217892054327 |
| 124 | 10.5 | 15.3217892054327 |
| 125 | 10.5 | 15.3217892054327 |
| 126 | 10.5 | 15.3217892054327 |
| 127 | 10.5 | 15.3217892054327 |
| 128 | 10.5 | 15.3217892054327 |
| 129 | 10.5 | 15.3217892054327 |
| 130 | 10.5 | 15.3217892054327 |
| 131 | 10.5 | 15.3217892054327 |
| 132 | 10.5 | 15.3217892054327 |
| 133 | 10.5 | 15.3217892054327 |
| 134 | 10.5 | 15.3217892054327 |
| 135 | 10.5 | 15.3217892054327 |
| 136 | 10.5 | 15.3217892054327 |
| 137 | 10.5 | 15.3217892054327 |
| 138 | 10.5 | 15.3217892054327 |
| 139 | 10.5 | 15.3217892054327 |
| 140 | 10.5 | 15.3217892054327 |
| 141 | 10.5 | 15.3217892054327 |
| 142 | 10.5 | 15.3217892054327 |
| 143 | 10.5 | 15.3217892054327 |
| 144 | 10.5 | 15.3217892054327 |
| 145 | 10.5 | 15.3217892054327 |
| 146 | 10.5 | 15.3217892054327 |
| 147 | 10.5 | 15.3217892054327 |
| 148 | 10.5 | 15.3217892054327 |
| 149 | 10.5 | 15.3217892054327 |
| 150 | 10.5 | 15.3217892054327 |
| 151 | 10.5 | 15.3217892054327 |
| 152 | 10.5 | 15.3217892054327 |
| 153 | 10.5 | 15.3217892054327 |
| 154 | 10.5 | 15.3217892054327 |
| 155 | 10.5 | 15.3217892054327 |
| 156 | 10.5 | 15.3217892054327 |
| 157 | 10.5 | 15.3217892054327 |
| 158 | 10.5 | 15.3217892054327 |
| 159 | 10.5 | 15.3217892054327 |
| 160 | 10.5 | 15.3217892054327 |
| 161 | 10.5 | 15.3217892054327 |
| 162 | 10.5 | 15.3217892054327 |
| 163 | 10.5 | 15.3217892054327 |
| Maximum Likelihood Estimation of Lambda |
> summary(mypT)
bcPower Transformation to Normality
Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x 1.769 2 1.3221 2.2159
Likelihood ratio test that transformation parameter is equal to 0
(log transformation)
LRT df pval
LR test, lambda = (0) 137.5186 1 < 2.22e-16
Likelihood ratio test that no transformation is needed
LRT df pval
LR test, lambda = (1) 14.90063 1 0.00011333
|
