| Box-Cox Normality Plot | |
| # observations x | 84 |
| maximum correlation | 0.870703111543209 |
| optimal lambda | 1.47 |
| transformation formula | for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda |
| Obs. | Original | Transformed |
| 1 | 20.5 | 56.9911739392212 |
| 2 | 20.5 | 56.9911739392212 |
| 3 | 20.5 | 56.9911739392212 |
| 4 | 20.5 | 56.9911739392212 |
| 5 | 20.5 | 56.9911739392212 |
| 6 | 20.5 | 56.9911739392212 |
| 7 | 20.5 | 56.9911739392212 |
| 8 | 20.5 | 56.9911739392212 |
| 9 | 20.5 | 56.9911739392212 |
| 10 | 20.5 | 56.9911739392212 |
| 11 | 20.5 | 56.9911739392212 |
| 12 | 20.5 | 56.9911739392212 |
| 13 | 20.5 | 56.9911739392212 |
| 14 | 20.5 | 56.9911739392212 |
| 15 | 20.5 | 56.9911739392212 |
| 16 | 20.5 | 56.9911739392212 |
| 17 | 20.5 | 56.9911739392212 |
| 18 | 20.5 | 56.9911739392212 |
| 19 | 20.5 | 56.9911739392212 |
| 20 | 20.5 | 56.9911739392212 |
| 21 | 20.5 | 56.9911739392212 |
| 22 | 20.5 | 56.9911739392212 |
| 23 | 20.5 | 56.9911739392212 |
| 24 | 20.5 | 56.9911739392212 |
| 25 | 20.5 | 56.9911739392212 |
| 26 | 20.5 | 56.9911739392212 |
| 27 | 20.5 | 56.9911739392212 |
| 28 | 20.5 | 56.9911739392212 |
| 29 | 20.5 | 56.9911739392212 |
| 30 | 20.5 | 56.9911739392212 |
| 31 | 20.5 | 56.9911739392212 |
| 32 | 20.5 | 56.9911739392212 |
| 33 | 20.5 | 56.9911739392212 |
| 34 | 20.5 | 56.9911739392212 |
| 35 | 20.5 | 56.9911739392212 |
| 36 | 20.5 | 56.9911739392212 |
| 37 | 20.5 | 56.9911739392212 |
| 38 | 20.5 | 56.9911739392212 |
| 39 | 20.5 | 56.9911739392212 |
| 40 | 20.5 | 56.9911739392212 |
| 41 | 20.5 | 56.9911739392212 |
| 42 | 20.5 | 56.9911739392212 |
| 43 | 20.5 | 56.9911739392212 |
| 44 | 20.5 | 56.9911739392212 |
| 45 | 20.5 | 56.9911739392212 |
| 46 | 20.5 | 56.9911739392212 |
| 47 | 20.5 | 56.9911739392212 |
| 48 | 15.5 | 37.5555349595888 |
| 49 | 15.5 | 37.5555349595888 |
| 50 | 15.5 | 37.5555349595888 |
| 51 | 15.5 | 37.5555349595888 |
| 52 | 15.5 | 37.5555349595888 |
| 53 | 15.5 | 37.5555349595888 |
| 54 | 15.5 | 37.5555349595888 |
| 55 | 15.5 | 37.5555349595888 |
| 56 | 15.5 | 37.5555349595888 |
| 57 | 15.5 | 37.5555349595888 |
| 58 | 15.5 | 37.5555349595888 |
| 59 | 15.5 | 37.5555349595888 |
| 60 | 15.5 | 37.5555349595888 |
| 61 | 15.5 | 37.5555349595888 |
| 62 | 15.5 | 37.5555349595888 |
| 63 | 15.5 | 37.5555349595888 |
| 64 | 15.5 | 37.5555349595888 |
| 65 | 10.5 | 20.8887738029664 |
| 66 | 10.5 | 20.8887738029664 |
| 67 | 10.5 | 20.8887738029664 |
| 68 | 10.5 | 20.8887738029664 |
| 69 | 10.5 | 20.8887738029664 |
| 70 | 10.5 | 20.8887738029664 |
| 71 | 10.5 | 20.8887738029664 |
| 72 | 10.5 | 20.8887738029664 |
| 73 | 10.5 | 20.8887738029664 |
| 74 | 10.5 | 20.8887738029664 |
| 75 | 10.5 | 20.8887738029664 |
| 76 | 10.5 | 20.8887738029664 |
| 77 | 10.5 | 20.8887738029664 |
| 78 | 10.5 | 20.8887738029664 |
| 79 | 10.5 | 20.8887738029664 |
| 80 | 5.5 | 7.65684340418776 |
| 81 | 5.5 | 7.65684340418776 |
| 82 | 5.5 | 7.65684340418776 |
| 83 | 5.5 | 7.65684340418776 |
| 84 | 0.5 | -0.434705919128827 |
| Maximum Likelihood Estimation of Lambda |
> summary(mypT)
bcPower Transformation to Normality
Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x 2.1886 2 1.4363 2.9409
Likelihood ratio test that transformation parameter is equal to 0
(log transformation)
LRT df pval
LR test, lambda = (0) 93.24308 1 < 2.22e-16
Likelihood ratio test that no transformation is needed
LRT df pval
LR test, lambda = (1) 13.8563 1 0.00019733
|
