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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 x281
maximum correlation0.910761049065933
optimal lambda1.33
transformation formulafor all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda


Obs.OriginalTransformed
10.5-0.452805833174843
20.5-0.452805833174843
30.5-0.452805833174843
42.51.79148459816347
52.51.79148459816347
62.51.79148459816347
72.51.79148459816347
83.53.22698213006964
94.54.80615178223382
104.54.80615178223382
114.54.80615178223382
124.54.80615178223382
134.54.80615178223382
145.56.50635046757566
155.56.50635046757566
165.56.50635046757566
175.56.50635046757566
185.56.50635046757566
195.56.50635046757566
205.56.50635046757566
215.56.50635046757566
225.56.50635046757566
235.56.50635046757566
245.56.50635046757566
255.56.50635046757566
265.56.50635046757566
275.56.50635046757566
285.56.50635046757566
296.58.31218764035623
306.58.31218764035623
316.58.31218764035623
326.58.31218764035623
336.58.31218764035623
346.58.31218764035623
356.58.31218764035623
366.58.31218764035623
376.58.31218764035623
386.58.31218764035623
397.510.2123932709877
407.510.2123932709877
417.510.2123932709877
427.510.2123932709877
437.510.2123932709877
447.510.2123932709877
457.510.2123932709877
467.510.2123932709877
477.510.2123932709877
487.510.2123932709877
497.510.2123932709877
507.510.2123932709877
517.510.2123932709877
527.510.2123932709877
538.512.1982921104588
548.512.1982921104588
558.512.1982921104588
568.512.1982921104588
578.512.1982921104588
588.512.1982921104588
598.512.1982921104588
609.514.2629618704801
619.514.2629618704801
629.514.2629618704801
639.514.2629618704801
649.514.2629618704801
659.514.2629618704801
669.514.2629618704801
6710.516.4007268903347
6810.516.4007268903347
6910.516.4007268903347
7010.516.4007268903347
7110.516.4007268903347
7210.516.4007268903347
7310.516.4007268903347
7410.516.4007268903347
7510.516.4007268903347
7610.516.4007268903347
7710.516.4007268903347
7810.516.4007268903347
7910.516.4007268903347
8010.516.4007268903347
8110.516.4007268903347
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8310.516.4007268903347
8410.516.4007268903347
8510.516.4007268903347
8610.516.4007268903347
8710.516.4007268903347
8810.516.4007268903347
8910.516.4007268903347
9010.516.4007268903347
9110.516.4007268903347
9210.516.4007268903347
9310.516.4007268903347
9410.516.4007268903347
9510.516.4007268903347
9610.516.4007268903347
9710.516.4007268903347
9810.516.4007268903347
9910.516.4007268903347
10010.516.4007268903347
10110.516.4007268903347
10210.516.4007268903347
10310.516.4007268903347
10410.516.4007268903347
10510.516.4007268903347
10610.516.4007268903347
10710.516.4007268903347
10810.516.4007268903347
10910.516.4007268903347
11010.516.4007268903347
11110.516.4007268903347
11210.516.4007268903347
11310.516.4007268903347
11410.516.4007268903347
11510.516.4007268903347
11610.516.4007268903347
11710.516.4007268903347
11810.516.4007268903347
1190.5-0.452805833174843
1200.5-0.452805833174843
1210.5-0.452805833174843
1222.51.79148459816347
1232.51.79148459816347
1242.51.79148459816347
1252.51.79148459816347
1263.53.22698213006964
1273.53.22698213006964
1283.53.22698213006964
1293.53.22698213006964
1303.53.22698213006964
1313.53.22698213006964
1323.53.22698213006964
1334.54.80615178223382
1344.54.80615178223382
1354.54.80615178223382
1364.54.80615178223382
1374.54.80615178223382
1384.54.80615178223382
1394.54.80615178223382
1405.56.50635046757566
1415.56.50635046757566
1425.56.50635046757566
1435.56.50635046757566
1445.56.50635046757566
1455.56.50635046757566
1465.56.50635046757566
1475.56.50635046757566
1485.56.50635046757566
1495.56.50635046757566
1505.56.50635046757566
1515.56.50635046757566
1525.56.50635046757566
1535.56.50635046757566
1545.56.50635046757566
1555.56.50635046757566
1565.56.50635046757566
1575.56.50635046757566
1585.56.50635046757566
1596.58.31218764035623
1606.58.31218764035623
1616.58.31218764035623
1626.58.31218764035623
1636.58.31218764035623
1646.58.31218764035623
1656.58.31218764035623
1666.58.31218764035623
1676.58.31218764035623
1686.58.31218764035623
1696.58.31218764035623
1706.58.31218764035623
1716.58.31218764035623
1726.58.31218764035623
1736.58.31218764035623
1746.58.31218764035623
1757.510.2123932709877
1767.510.2123932709877
1777.510.2123932709877
1787.510.2123932709877
1797.510.2123932709877
1807.510.2123932709877
1817.510.2123932709877
1827.510.2123932709877
1837.510.2123932709877
1848.512.1982921104588
1858.512.1982921104588
1868.512.1982921104588
1878.512.1982921104588
1888.512.1982921104588
1898.512.1982921104588
1908.512.1982921104588
1918.512.1982921104588
1928.512.1982921104588
1938.512.1982921104588
1948.512.1982921104588
1958.512.1982921104588
1968.512.1982921104588
1978.512.1982921104588
1988.512.1982921104588
1999.514.2629618704801
2009.514.2629618704801
2019.514.2629618704801
2029.514.2629618704801
2039.514.2629618704801
2049.514.2629618704801
2059.514.2629618704801
2069.514.2629618704801
20710.516.4007268903347
20810.516.4007268903347
20910.516.4007268903347
21010.516.4007268903347
21110.516.4007268903347
21210.516.4007268903347
21310.516.4007268903347
21410.516.4007268903347
21510.516.4007268903347
21610.516.4007268903347
21710.516.4007268903347
21810.516.4007268903347
21910.516.4007268903347
22010.516.4007268903347
22110.516.4007268903347
22210.516.4007268903347
22310.516.4007268903347
22410.516.4007268903347
22510.516.4007268903347
22610.516.4007268903347
22710.516.4007268903347
22810.516.4007268903347
22910.516.4007268903347
23010.516.4007268903347
23110.516.4007268903347
23210.516.4007268903347
23310.516.4007268903347
23410.516.4007268903347
23510.516.4007268903347
23610.516.4007268903347
23710.516.4007268903347
23810.516.4007268903347
23910.516.4007268903347
24010.516.4007268903347
24110.516.4007268903347
24210.516.4007268903347
24310.516.4007268903347
24410.516.4007268903347
24510.516.4007268903347
24610.516.4007268903347
24710.516.4007268903347
24810.516.4007268903347
24910.516.4007268903347
25010.516.4007268903347
25110.516.4007268903347
25210.516.4007268903347
25310.516.4007268903347
25410.516.4007268903347
25510.516.4007268903347
25610.516.4007268903347
25710.516.4007268903347
25810.516.4007268903347
25910.516.4007268903347
26010.516.4007268903347
26110.516.4007268903347
26210.516.4007268903347
26310.516.4007268903347
26410.516.4007268903347
26510.516.4007268903347
26610.516.4007268903347
26710.516.4007268903347
26810.516.4007268903347
26910.516.4007268903347
27010.516.4007268903347
27110.516.4007268903347
27210.516.4007268903347
27310.516.4007268903347
27410.516.4007268903347
27510.516.4007268903347
27610.516.4007268903347
27710.516.4007268903347
27810.516.4007268903347
27910.516.4007268903347
28010.516.4007268903347
28110.516.4007268903347


Maximum Likelihood Estimation of Lambda
> summary(mypT)
bcPower Transformation to Normality 
  Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x    1.7401           2       1.4142        2.066
Likelihood ratio test that transformation parameter is equal to 0
 (log transformation)
                          LRT df       pval
LR test, lambda = (0) 253.175  1 < 2.22e-16
Likelihood ratio test that no transformation is needed
                           LRT df       pval
LR test, lambda = (1) 26.16003  1 3.1426e-07







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