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Data:
 
Type of transformation 
Minimum lambda 
Maximum lambda 
Constant term to be added before analysis is performed (?)
Display table with original and transformed data? 
Chart options
R Code




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center


Box-Cox Normality Plot
# observations x163
maximum correlation0.908001200767898
optimal lambda1.29
transformation formulafor all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda


Obs.OriginalTransformed
10.5-0.458177496683031
20.5-0.458177496683031
30.5-0.458177496683031
42.51.75266552089844
52.51.75266552089844
62.51.75266552089844
72.51.75266552089844
83.53.126543874166
93.53.126543874166
103.53.126543874166
113.53.126543874166
123.53.126543874166
133.53.126543874166
143.53.126543874166
154.54.62058866685531
164.54.62058866685531
174.54.62058866685531
184.54.62058866685531
194.54.62058866685531
204.54.62058866685531
214.54.62058866685531
225.56.21482202950251
235.56.21482202950251
245.56.21482202950251
255.56.21482202950251
265.56.21482202950251
275.56.21482202950251
285.56.21482202950251
295.56.21482202950251
305.56.21482202950251
315.56.21482202950251
325.56.21482202950251
335.56.21482202950251
345.56.21482202950251
355.56.21482202950251
365.56.21482202950251
375.56.21482202950251
385.56.21482202950251
395.56.21482202950251
405.56.21482202950251
416.57.8957928953427
426.57.8957928953427
436.57.8957928953427
446.57.8957928953427
456.57.8957928953427
466.57.8957928953427
476.57.8957928953427
486.57.8957928953427
496.57.8957928953427
506.57.8957928953427
516.57.8957928953427
526.57.8957928953427
536.57.8957928953427
546.57.8957928953427
556.57.8957928953427
566.57.8957928953427
577.59.65372580456229
587.59.65372580456229
597.59.65372580456229
607.59.65372580456229
617.59.65372580456229
627.59.65372580456229
637.59.65372580456229
647.59.65372580456229
657.59.65372580456229
668.511.4811434856536
678.511.4811434856536
688.511.4811434856536
698.511.4811434856536
708.511.4811434856536
718.511.4811434856536
728.511.4811434856536
738.511.4811434856536
748.511.4811434856536
758.511.4811434856536
768.511.4811434856536
778.511.4811434856536
788.511.4811434856536
798.511.4811434856536
808.511.4811434856536
819.513.3721119830928
829.513.3721119830928
839.513.3721119830928
849.513.3721119830928
859.513.3721119830928
869.513.3721119830928
879.513.3721119830928
889.513.3721119830928
8910.515.3217892054327
9010.515.3217892054327
9110.515.3217892054327
9210.515.3217892054327
9310.515.3217892054327
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9710.515.3217892054327
9810.515.3217892054327
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10010.515.3217892054327
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15710.515.3217892054327
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15910.515.3217892054327
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16110.515.3217892054327
16210.515.3217892054327
16310.515.3217892054327


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







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