| Box-Cox Normality Plot | |
| # observations x | 50 |
| maximum correlation | 0.98115347693728 |
| optimal lambda | -1.25 |
| transformation formula | for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda |
| Obs. | Original | Transformed |
| 1 | 12 | 0.764181002272549 |
| 2 | 14 | 0.770458676916733 |
| 3 | 56 | 0.79477778253065 |
| 4 | 20 | 0.781085167819936 |
| 5 | 15 | 0.772899586765087 |
| 6 | 16 | 0.775 |
| 7 | 17.5 | 0.777649233260119 |
| 8 | 18 | 0.778422587924119 |
| 9 | 19 | 0.779832689455007 |
| 10 | 20 | 0.781085167819936 |
| 11 | 15 | 0.772899586765087 |
| 12 | 16 | 0.775 |
| 13 | 17 | 0.776824514799743 |
| 14 | 18 | 0.778422587924119 |
| 15 | 19 | 0.779832689455007 |
| 16 | 20 | 0.781085167819936 |
| 17 | 15 | 0.772899586765087 |
| 18 | 16 | 0.775 |
| 19 | 17 | 0.776824514799743 |
| 20 | 14 | 0.770458676916733 |
| 21 | 16 | 0.775 |
| 22 | 18.5 | 0.779149074983456 |
| 23 | 19.5 | 0.780476992424974 |
| 24 | 15.5 | 0.773987903033469 |
| 25 | 16.5 | 0.775943355149865 |
| 26 | 17 | 0.776824514799743 |
| 27 | 18.5 | 0.779149074983456 |
| 28 | 19.5 | 0.780476992424974 |
| 29 | 22 | 0.783209577056578 |
| 30 | 42 | 0.792517816173324 |
| 31 | 32 | 0.789488794809329 |
| 32 | 34 | 0.790255908786669 |
| 33 | 32 | 0.789488794809329 |
| 34 | 26 | 0.786373845714796 |
| 35 | 38 | 0.791520690428704 |
| 36 | 36 | 0.79092781576747 |
| 37 | 24.6 | 0.785397705498621 |
| 38 | 35 | 0.790602660185131 |
| 39 | 35 | 0.790602660185131 |
| 40 | 21 | 0.782204267515116 |
| 41 | 29 | 0.788112446359754 |
| 42 | 18 | 0.778422587924119 |
| 43 | 22 | 0.783209577056578 |
| 44 | 34 | 0.790255908786669 |
| 45 | 21 | 0.782204267515116 |
| 46 | 38 | 0.791520690428704 |
| 47 | 36 | 0.79092781576747 |
| 48 | 32 | 0.789488794809329 |
| 49 | 21 | 0.782204267515116 |
| 50 | 28.5 | 0.787851185189415 |
| Maximum Likelihood Estimation of Lambda |
> summary(mypT)
bcPower Transformation to Normality
Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x -0.9778 -1 -1.8204 -0.1353
Likelihood ratio test that transformation parameter is equal to 0
(log transformation)
LRT df pval
LR test, lambda = (0) 5.342812 1 0.020808
Likelihood ratio test that no transformation is needed
LRT df pval
LR test, lambda = (1) 22.68833 1 1.9052e-06
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