| Box-Cox Normality Plot | |
| # observations x | 84 |
| maximum correlation | 0.871097436208534 |
| optimal lambda | 1.72 |
| transformation formula | for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda |
| Obs. | Original | Transformed |
| 1 | 5 | 8.68050194080859 |
| 2 | 5 | 8.68050194080859 |
| 3 | 5 | 8.68050194080859 |
| 4 | 5 | 8.68050194080859 |
| 5 | 5 | 8.68050194080859 |
| 6 | 5 | 8.68050194080859 |
| 7 | 5 | 8.68050194080859 |
| 8 | 5 | 8.68050194080859 |
| 9 | 5 | 8.68050194080859 |
| 10 | 5 | 8.68050194080859 |
| 11 | 5 | 8.68050194080859 |
| 12 | 5 | 8.68050194080859 |
| 13 | 5 | 8.68050194080859 |
| 14 | 5 | 8.68050194080859 |
| 15 | 5 | 8.68050194080859 |
| 16 | 5 | 8.68050194080859 |
| 17 | 5 | 8.68050194080859 |
| 18 | 5 | 8.68050194080859 |
| 19 | 5 | 8.68050194080859 |
| 20 | 5 | 8.68050194080859 |
| 21 | 5 | 8.68050194080859 |
| 22 | 5 | 8.68050194080859 |
| 23 | 5 | 8.68050194080859 |
| 24 | 5 | 8.68050194080859 |
| 25 | 5 | 8.68050194080859 |
| 26 | 5 | 8.68050194080859 |
| 27 | 5 | 8.68050194080859 |
| 28 | 5 | 8.68050194080859 |
| 29 | 5 | 8.68050194080859 |
| 30 | 5 | 8.68050194080859 |
| 31 | 5 | 8.68050194080859 |
| 32 | 5 | 8.68050194080859 |
| 33 | 5 | 8.68050194080859 |
| 34 | 5 | 8.68050194080859 |
| 35 | 5 | 8.68050194080859 |
| 36 | 5 | 8.68050194080859 |
| 37 | 5 | 8.68050194080859 |
| 38 | 5 | 8.68050194080859 |
| 39 | 5 | 8.68050194080859 |
| 40 | 5 | 8.68050194080859 |
| 41 | 5 | 8.68050194080859 |
| 42 | 5 | 8.68050194080859 |
| 43 | 5 | 8.68050194080859 |
| 44 | 5 | 8.68050194080859 |
| 45 | 5 | 8.68050194080859 |
| 46 | 5 | 8.68050194080859 |
| 47 | 5 | 8.68050194080859 |
| 48 | 4 | 5.72839222068685 |
| 49 | 4 | 5.72839222068685 |
| 50 | 4 | 5.72839222068685 |
| 51 | 4 | 5.72839222068685 |
| 52 | 4 | 5.72839222068685 |
| 53 | 4 | 5.72839222068685 |
| 54 | 4 | 5.72839222068685 |
| 55 | 4 | 5.72839222068685 |
| 56 | 4 | 5.72839222068685 |
| 57 | 4 | 5.72839222068685 |
| 58 | 4 | 5.72839222068685 |
| 59 | 4 | 5.72839222068685 |
| 60 | 4 | 5.72839222068685 |
| 61 | 4 | 5.72839222068685 |
| 62 | 4 | 5.72839222068685 |
| 63 | 4 | 5.72839222068685 |
| 64 | 4 | 5.72839222068685 |
| 65 | 3 | 3.26558626990844 |
| 66 | 3 | 3.26558626990844 |
| 67 | 3 | 3.26558626990844 |
| 68 | 3 | 3.26558626990844 |
| 69 | 3 | 3.26558626990844 |
| 70 | 3 | 3.26558626990844 |
| 71 | 3 | 3.26558626990844 |
| 72 | 3 | 3.26558626990844 |
| 73 | 3 | 3.26558626990844 |
| 74 | 3 | 3.26558626990844 |
| 75 | 3 | 3.26558626990844 |
| 76 | 3 | 3.26558626990844 |
| 77 | 3 | 3.26558626990844 |
| 78 | 3 | 3.26558626990844 |
| 79 | 3 | 3.26558626990844 |
| 80 | 2 | 1.33393259829668 |
| 81 | 2 | 1.33393259829668 |
| 82 | 2 | 1.33393259829668 |
| 83 | 2 | 1.33393259829668 |
| 84 | 1 | 0 |
| Maximum Likelihood Estimation of Lambda |
> summary(mypT)
bcPower Transformation to Normality
Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x 3.1453 3.15 2.0323 4.2584
Likelihood ratio test that transformation parameter is equal to 0
(log transformation)
LRT df pval
LR test, lambda = (0) 55.0838 1 1.1546e-13
Likelihood ratio test that no transformation is needed
LRT df pval
LR test, lambda = (1) 20.20371 1 6.9618e-06
|
