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 |