Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_boxcoxnorm.wasp
Title produced by softwareBox-Cox Normality Plot
Date of computationWed, 13 May 2020 15:29:36 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/May/13/t1589377509uogl22wdbqyqyvf.htm/, Retrieved Wed, 21 Apr 2021 07:08:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319151, Retrieved Wed, 21 Apr 2021 07:08:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Box-Cox Normality Plot] [Data_Postert] [2020-05-13 13:29:36] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
4
4
4
4
4
4
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
12




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319151&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319151&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Box-Cox Normality Plot
# observations x291
maximum correlation0.916665444070694
optimal lambda1.38
transformation formulafor all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 291 \tabularnewline
maximum correlation & 0.916665444070694 \tabularnewline
optimal lambda & 1.38 \tabularnewline
transformation formula & for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319151&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]291[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.916665444070694[/C][/ROW]
[ROW][C]optimal lambda[/C][C]1.38[/C][/ROW]
[ROW][C]transformation formula[/C][C]for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319151&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Box-Cox Normality Plot
# observations x291
maximum correlation0.916665444070694
optimal lambda1.38
transformation formulafor all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda







Obs.OriginalTransformed
10.5-0.446218264259418
20.5-0.446218264259418
30.5-0.446218264259418
40.5-0.446218264259418
50.5-0.446218264259418
60.5-0.446218264259418
70.5-0.446218264259418
82.51.84148919688188
92.51.84148919688188
102.51.84148919688188
112.51.84148919688188
122.51.84148919688188
132.51.84148919688188
142.51.84148919688188
152.51.84148919688188
163.53.35794336336114
173.53.35794336336114
183.53.35794336336114
193.53.35794336336114
203.53.35794336336114
213.53.35794336336114
223.53.35794336336114
233.53.35794336336114
243.53.35794336336114
253.53.35794336336114
264.55.05039149406579
274.55.05039149406579
284.55.05039149406579
294.55.05039149406579
304.55.05039149406579
314.55.05039149406579
324.55.05039149406579
334.55.05039149406579
344.55.05039149406579
354.55.05039149406579
364.55.05039149406579
374.55.05039149406579
385.56.89301951703742
395.56.89301951703742
405.56.89301951703742
415.56.89301951703742
425.56.89301951703742
435.56.89301951703742
445.56.89301951703742
455.56.89301951703742
465.56.89301951703742
475.56.89301951703742
485.56.89301951703742
495.56.89301951703742
505.56.89301951703742
515.56.89301951703742
525.56.89301951703742
535.56.89301951703742
545.56.89301951703742
555.56.89301951703742
565.56.89301951703742
575.56.89301951703742
585.56.89301951703742
595.56.89301951703742
605.56.89301951703742
615.56.89301951703742
625.56.89301951703742
635.56.89301951703742
645.56.89301951703742
655.56.89301951703742
665.56.89301951703742
675.56.89301951703742
685.56.89301951703742
695.56.89301951703742
705.56.89301951703742
715.56.89301951703742
725.56.89301951703742
736.58.86807298987499
746.58.86807298987499
756.58.86807298987499
766.58.86807298987499
776.58.86807298987499
786.58.86807298987499
796.58.86807298987499
806.58.86807298987499
816.58.86807298987499
826.58.86807298987499
836.58.86807298987499
846.58.86807298987499
856.58.86807298987499
866.58.86807298987499
876.58.86807298987499
886.58.86807298987499
896.58.86807298987499
906.58.86807298987499
916.58.86807298987499
926.58.86807298987499
936.58.86807298987499
946.58.86807298987499
956.58.86807298987499
966.58.86807298987499
976.58.86807298987499
986.58.86807298987499
997.510.9624272546599
1007.510.9624272546599
1017.510.9624272546599
1027.510.9624272546599
1037.510.9624272546599
1047.510.9624272546599
1057.510.9624272546599
1067.510.9624272546599
1077.510.9624272546599
1087.510.9624272546599
1097.510.9624272546599
1107.510.9624272546599
1117.510.9624272546599
1127.510.9624272546599
1137.510.9624272546599
1147.510.9624272546599
1157.510.9624272546599
1167.510.9624272546599
1177.510.9624272546599
1187.510.9624272546599
1197.510.9624272546599
1207.510.9624272546599
1217.510.9624272546599
1227.510.9624272546599
1237.510.9624272546599
1248.513.1658991734021
1258.513.1658991734021
1268.513.1658991734021
1278.513.1658991734021
1288.513.1658991734021
1298.513.1658991734021
1308.513.1658991734021
1318.513.1658991734021
1328.513.1658991734021
1338.513.1658991734021
1348.513.1658991734021
1358.513.1658991734021
1368.513.1658991734021
1378.513.1658991734021
1388.513.1658991734021
1398.513.1658991734021
1408.513.1658991734021
1418.513.1658991734021
1428.513.1658991734021
1438.513.1658991734021
1448.513.1658991734021
1458.513.1658991734021
1469.515.4703077463909
1479.515.4703077463909
1489.515.4703077463909
1499.515.4703077463909
1509.515.4703077463909
1519.515.4703077463909
1529.515.4703077463909
1539.515.4703077463909
1549.515.4703077463909
1559.515.4703077463909
1569.515.4703077463909
1579.515.4703077463909
1589.515.4703077463909
1599.515.4703077463909
1609.515.4703077463909
16110.517.8689050549175
16210.517.8689050549175
16310.517.8689050549175
16410.517.8689050549175
16510.517.8689050549175
16610.517.8689050549175
16710.517.8689050549175
16810.517.8689050549175
16910.517.8689050549175
17010.517.8689050549175
17110.517.8689050549175
17210.517.8689050549175
17310.517.8689050549175
17410.517.8689050549175
17510.517.8689050549175
17610.517.8689050549175
17710.517.8689050549175
17810.517.8689050549175
17910.517.8689050549175
18010.517.8689050549175
18110.517.8689050549175
18210.517.8689050549175
18310.517.8689050549175
18410.517.8689050549175
18510.517.8689050549175
18610.517.8689050549175
18710.517.8689050549175
18810.517.8689050549175
18910.517.8689050549175
19010.517.8689050549175
19110.517.8689050549175
19210.517.8689050549175
19310.517.8689050549175
19410.517.8689050549175
19510.517.8689050549175
19610.517.8689050549175
19710.517.8689050549175
19810.517.8689050549175
19910.517.8689050549175
20010.517.8689050549175
20110.517.8689050549175
20210.517.8689050549175
20310.517.8689050549175
20410.517.8689050549175
20510.517.8689050549175
20610.517.8689050549175
20710.517.8689050549175
20810.517.8689050549175
20910.517.8689050549175
21010.517.8689050549175
21110.517.8689050549175
21210.517.8689050549175
21310.517.8689050549175
21410.517.8689050549175
21510.517.8689050549175
21610.517.8689050549175
21710.517.8689050549175
21810.517.8689050549175
21910.517.8689050549175
22010.517.8689050549175
22110.517.8689050549175
22210.517.8689050549175
22310.517.8689050549175
22410.517.8689050549175
22510.517.8689050549175
22610.517.8689050549175
22710.517.8689050549175
22810.517.8689050549175
22910.517.8689050549175
23010.517.8689050549175
23110.517.8689050549175
23210.517.8689050549175
23310.517.8689050549175
23410.517.8689050549175
23510.517.8689050549175
23610.517.8689050549175
23710.517.8689050549175
23810.517.8689050549175
23910.517.8689050549175
24010.517.8689050549175
24110.517.8689050549175
24210.517.8689050549175
24310.517.8689050549175
24410.517.8689050549175
24510.517.8689050549175
24610.517.8689050549175
24710.517.8689050549175
24810.517.8689050549175
24910.517.8689050549175
25010.517.8689050549175
25110.517.8689050549175
25210.517.8689050549175
25310.517.8689050549175
25410.517.8689050549175
25510.517.8689050549175
25610.517.8689050549175
25710.517.8689050549175
25810.517.8689050549175
25910.517.8689050549175
26010.517.8689050549175
26110.517.8689050549175
26210.517.8689050549175
26310.517.8689050549175
26410.517.8689050549175
26510.517.8689050549175
26610.517.8689050549175
26710.517.8689050549175
26810.517.8689050549175
26910.517.8689050549175
27010.517.8689050549175
27110.517.8689050549175
27210.517.8689050549175
27310.517.8689050549175
27410.517.8689050549175
27510.517.8689050549175
27610.517.8689050549175
27710.517.8689050549175
27810.517.8689050549175
27910.517.8689050549175
28010.517.8689050549175
28110.517.8689050549175
28210.517.8689050549175
28310.517.8689050549175
28410.517.8689050549175
28510.517.8689050549175
28610.517.8689050549175
28710.517.8689050549175
28810.517.8689050549175
28910.517.8689050549175
29010.517.8689050549175
29112.522.9267557005424

\begin{tabular}{lllllllll}
\hline
Obs. & Original & Transformed \tabularnewline
1 & 0.5 & -0.446218264259418 \tabularnewline
2 & 0.5 & -0.446218264259418 \tabularnewline
3 & 0.5 & -0.446218264259418 \tabularnewline
4 & 0.5 & -0.446218264259418 \tabularnewline
5 & 0.5 & -0.446218264259418 \tabularnewline
6 & 0.5 & -0.446218264259418 \tabularnewline
7 & 0.5 & -0.446218264259418 \tabularnewline
8 & 2.5 & 1.84148919688188 \tabularnewline
9 & 2.5 & 1.84148919688188 \tabularnewline
10 & 2.5 & 1.84148919688188 \tabularnewline
11 & 2.5 & 1.84148919688188 \tabularnewline
12 & 2.5 & 1.84148919688188 \tabularnewline
13 & 2.5 & 1.84148919688188 \tabularnewline
14 & 2.5 & 1.84148919688188 \tabularnewline
15 & 2.5 & 1.84148919688188 \tabularnewline
16 & 3.5 & 3.35794336336114 \tabularnewline
17 & 3.5 & 3.35794336336114 \tabularnewline
18 & 3.5 & 3.35794336336114 \tabularnewline
19 & 3.5 & 3.35794336336114 \tabularnewline
20 & 3.5 & 3.35794336336114 \tabularnewline
21 & 3.5 & 3.35794336336114 \tabularnewline
22 & 3.5 & 3.35794336336114 \tabularnewline
23 & 3.5 & 3.35794336336114 \tabularnewline
24 & 3.5 & 3.35794336336114 \tabularnewline
25 & 3.5 & 3.35794336336114 \tabularnewline
26 & 4.5 & 5.05039149406579 \tabularnewline
27 & 4.5 & 5.05039149406579 \tabularnewline
28 & 4.5 & 5.05039149406579 \tabularnewline
29 & 4.5 & 5.05039149406579 \tabularnewline
30 & 4.5 & 5.05039149406579 \tabularnewline
31 & 4.5 & 5.05039149406579 \tabularnewline
32 & 4.5 & 5.05039149406579 \tabularnewline
33 & 4.5 & 5.05039149406579 \tabularnewline
34 & 4.5 & 5.05039149406579 \tabularnewline
35 & 4.5 & 5.05039149406579 \tabularnewline
36 & 4.5 & 5.05039149406579 \tabularnewline
37 & 4.5 & 5.05039149406579 \tabularnewline
38 & 5.5 & 6.89301951703742 \tabularnewline
39 & 5.5 & 6.89301951703742 \tabularnewline
40 & 5.5 & 6.89301951703742 \tabularnewline
41 & 5.5 & 6.89301951703742 \tabularnewline
42 & 5.5 & 6.89301951703742 \tabularnewline
43 & 5.5 & 6.89301951703742 \tabularnewline
44 & 5.5 & 6.89301951703742 \tabularnewline
45 & 5.5 & 6.89301951703742 \tabularnewline
46 & 5.5 & 6.89301951703742 \tabularnewline
47 & 5.5 & 6.89301951703742 \tabularnewline
48 & 5.5 & 6.89301951703742 \tabularnewline
49 & 5.5 & 6.89301951703742 \tabularnewline
50 & 5.5 & 6.89301951703742 \tabularnewline
51 & 5.5 & 6.89301951703742 \tabularnewline
52 & 5.5 & 6.89301951703742 \tabularnewline
53 & 5.5 & 6.89301951703742 \tabularnewline
54 & 5.5 & 6.89301951703742 \tabularnewline
55 & 5.5 & 6.89301951703742 \tabularnewline
56 & 5.5 & 6.89301951703742 \tabularnewline
57 & 5.5 & 6.89301951703742 \tabularnewline
58 & 5.5 & 6.89301951703742 \tabularnewline
59 & 5.5 & 6.89301951703742 \tabularnewline
60 & 5.5 & 6.89301951703742 \tabularnewline
61 & 5.5 & 6.89301951703742 \tabularnewline
62 & 5.5 & 6.89301951703742 \tabularnewline
63 & 5.5 & 6.89301951703742 \tabularnewline
64 & 5.5 & 6.89301951703742 \tabularnewline
65 & 5.5 & 6.89301951703742 \tabularnewline
66 & 5.5 & 6.89301951703742 \tabularnewline
67 & 5.5 & 6.89301951703742 \tabularnewline
68 & 5.5 & 6.89301951703742 \tabularnewline
69 & 5.5 & 6.89301951703742 \tabularnewline
70 & 5.5 & 6.89301951703742 \tabularnewline
71 & 5.5 & 6.89301951703742 \tabularnewline
72 & 5.5 & 6.89301951703742 \tabularnewline
73 & 6.5 & 8.86807298987499 \tabularnewline
74 & 6.5 & 8.86807298987499 \tabularnewline
75 & 6.5 & 8.86807298987499 \tabularnewline
76 & 6.5 & 8.86807298987499 \tabularnewline
77 & 6.5 & 8.86807298987499 \tabularnewline
78 & 6.5 & 8.86807298987499 \tabularnewline
79 & 6.5 & 8.86807298987499 \tabularnewline
80 & 6.5 & 8.86807298987499 \tabularnewline
81 & 6.5 & 8.86807298987499 \tabularnewline
82 & 6.5 & 8.86807298987499 \tabularnewline
83 & 6.5 & 8.86807298987499 \tabularnewline
84 & 6.5 & 8.86807298987499 \tabularnewline
85 & 6.5 & 8.86807298987499 \tabularnewline
86 & 6.5 & 8.86807298987499 \tabularnewline
87 & 6.5 & 8.86807298987499 \tabularnewline
88 & 6.5 & 8.86807298987499 \tabularnewline
89 & 6.5 & 8.86807298987499 \tabularnewline
90 & 6.5 & 8.86807298987499 \tabularnewline
91 & 6.5 & 8.86807298987499 \tabularnewline
92 & 6.5 & 8.86807298987499 \tabularnewline
93 & 6.5 & 8.86807298987499 \tabularnewline
94 & 6.5 & 8.86807298987499 \tabularnewline
95 & 6.5 & 8.86807298987499 \tabularnewline
96 & 6.5 & 8.86807298987499 \tabularnewline
97 & 6.5 & 8.86807298987499 \tabularnewline
98 & 6.5 & 8.86807298987499 \tabularnewline
99 & 7.5 & 10.9624272546599 \tabularnewline
100 & 7.5 & 10.9624272546599 \tabularnewline
101 & 7.5 & 10.9624272546599 \tabularnewline
102 & 7.5 & 10.9624272546599 \tabularnewline
103 & 7.5 & 10.9624272546599 \tabularnewline
104 & 7.5 & 10.9624272546599 \tabularnewline
105 & 7.5 & 10.9624272546599 \tabularnewline
106 & 7.5 & 10.9624272546599 \tabularnewline
107 & 7.5 & 10.9624272546599 \tabularnewline
108 & 7.5 & 10.9624272546599 \tabularnewline
109 & 7.5 & 10.9624272546599 \tabularnewline
110 & 7.5 & 10.9624272546599 \tabularnewline
111 & 7.5 & 10.9624272546599 \tabularnewline
112 & 7.5 & 10.9624272546599 \tabularnewline
113 & 7.5 & 10.9624272546599 \tabularnewline
114 & 7.5 & 10.9624272546599 \tabularnewline
115 & 7.5 & 10.9624272546599 \tabularnewline
116 & 7.5 & 10.9624272546599 \tabularnewline
117 & 7.5 & 10.9624272546599 \tabularnewline
118 & 7.5 & 10.9624272546599 \tabularnewline
119 & 7.5 & 10.9624272546599 \tabularnewline
120 & 7.5 & 10.9624272546599 \tabularnewline
121 & 7.5 & 10.9624272546599 \tabularnewline
122 & 7.5 & 10.9624272546599 \tabularnewline
123 & 7.5 & 10.9624272546599 \tabularnewline
124 & 8.5 & 13.1658991734021 \tabularnewline
125 & 8.5 & 13.1658991734021 \tabularnewline
126 & 8.5 & 13.1658991734021 \tabularnewline
127 & 8.5 & 13.1658991734021 \tabularnewline
128 & 8.5 & 13.1658991734021 \tabularnewline
129 & 8.5 & 13.1658991734021 \tabularnewline
130 & 8.5 & 13.1658991734021 \tabularnewline
131 & 8.5 & 13.1658991734021 \tabularnewline
132 & 8.5 & 13.1658991734021 \tabularnewline
133 & 8.5 & 13.1658991734021 \tabularnewline
134 & 8.5 & 13.1658991734021 \tabularnewline
135 & 8.5 & 13.1658991734021 \tabularnewline
136 & 8.5 & 13.1658991734021 \tabularnewline
137 & 8.5 & 13.1658991734021 \tabularnewline
138 & 8.5 & 13.1658991734021 \tabularnewline
139 & 8.5 & 13.1658991734021 \tabularnewline
140 & 8.5 & 13.1658991734021 \tabularnewline
141 & 8.5 & 13.1658991734021 \tabularnewline
142 & 8.5 & 13.1658991734021 \tabularnewline
143 & 8.5 & 13.1658991734021 \tabularnewline
144 & 8.5 & 13.1658991734021 \tabularnewline
145 & 8.5 & 13.1658991734021 \tabularnewline
146 & 9.5 & 15.4703077463909 \tabularnewline
147 & 9.5 & 15.4703077463909 \tabularnewline
148 & 9.5 & 15.4703077463909 \tabularnewline
149 & 9.5 & 15.4703077463909 \tabularnewline
150 & 9.5 & 15.4703077463909 \tabularnewline
151 & 9.5 & 15.4703077463909 \tabularnewline
152 & 9.5 & 15.4703077463909 \tabularnewline
153 & 9.5 & 15.4703077463909 \tabularnewline
154 & 9.5 & 15.4703077463909 \tabularnewline
155 & 9.5 & 15.4703077463909 \tabularnewline
156 & 9.5 & 15.4703077463909 \tabularnewline
157 & 9.5 & 15.4703077463909 \tabularnewline
158 & 9.5 & 15.4703077463909 \tabularnewline
159 & 9.5 & 15.4703077463909 \tabularnewline
160 & 9.5 & 15.4703077463909 \tabularnewline
161 & 10.5 & 17.8689050549175 \tabularnewline
162 & 10.5 & 17.8689050549175 \tabularnewline
163 & 10.5 & 17.8689050549175 \tabularnewline
164 & 10.5 & 17.8689050549175 \tabularnewline
165 & 10.5 & 17.8689050549175 \tabularnewline
166 & 10.5 & 17.8689050549175 \tabularnewline
167 & 10.5 & 17.8689050549175 \tabularnewline
168 & 10.5 & 17.8689050549175 \tabularnewline
169 & 10.5 & 17.8689050549175 \tabularnewline
170 & 10.5 & 17.8689050549175 \tabularnewline
171 & 10.5 & 17.8689050549175 \tabularnewline
172 & 10.5 & 17.8689050549175 \tabularnewline
173 & 10.5 & 17.8689050549175 \tabularnewline
174 & 10.5 & 17.8689050549175 \tabularnewline
175 & 10.5 & 17.8689050549175 \tabularnewline
176 & 10.5 & 17.8689050549175 \tabularnewline
177 & 10.5 & 17.8689050549175 \tabularnewline
178 & 10.5 & 17.8689050549175 \tabularnewline
179 & 10.5 & 17.8689050549175 \tabularnewline
180 & 10.5 & 17.8689050549175 \tabularnewline
181 & 10.5 & 17.8689050549175 \tabularnewline
182 & 10.5 & 17.8689050549175 \tabularnewline
183 & 10.5 & 17.8689050549175 \tabularnewline
184 & 10.5 & 17.8689050549175 \tabularnewline
185 & 10.5 & 17.8689050549175 \tabularnewline
186 & 10.5 & 17.8689050549175 \tabularnewline
187 & 10.5 & 17.8689050549175 \tabularnewline
188 & 10.5 & 17.8689050549175 \tabularnewline
189 & 10.5 & 17.8689050549175 \tabularnewline
190 & 10.5 & 17.8689050549175 \tabularnewline
191 & 10.5 & 17.8689050549175 \tabularnewline
192 & 10.5 & 17.8689050549175 \tabularnewline
193 & 10.5 & 17.8689050549175 \tabularnewline
194 & 10.5 & 17.8689050549175 \tabularnewline
195 & 10.5 & 17.8689050549175 \tabularnewline
196 & 10.5 & 17.8689050549175 \tabularnewline
197 & 10.5 & 17.8689050549175 \tabularnewline
198 & 10.5 & 17.8689050549175 \tabularnewline
199 & 10.5 & 17.8689050549175 \tabularnewline
200 & 10.5 & 17.8689050549175 \tabularnewline
201 & 10.5 & 17.8689050549175 \tabularnewline
202 & 10.5 & 17.8689050549175 \tabularnewline
203 & 10.5 & 17.8689050549175 \tabularnewline
204 & 10.5 & 17.8689050549175 \tabularnewline
205 & 10.5 & 17.8689050549175 \tabularnewline
206 & 10.5 & 17.8689050549175 \tabularnewline
207 & 10.5 & 17.8689050549175 \tabularnewline
208 & 10.5 & 17.8689050549175 \tabularnewline
209 & 10.5 & 17.8689050549175 \tabularnewline
210 & 10.5 & 17.8689050549175 \tabularnewline
211 & 10.5 & 17.8689050549175 \tabularnewline
212 & 10.5 & 17.8689050549175 \tabularnewline
213 & 10.5 & 17.8689050549175 \tabularnewline
214 & 10.5 & 17.8689050549175 \tabularnewline
215 & 10.5 & 17.8689050549175 \tabularnewline
216 & 10.5 & 17.8689050549175 \tabularnewline
217 & 10.5 & 17.8689050549175 \tabularnewline
218 & 10.5 & 17.8689050549175 \tabularnewline
219 & 10.5 & 17.8689050549175 \tabularnewline
220 & 10.5 & 17.8689050549175 \tabularnewline
221 & 10.5 & 17.8689050549175 \tabularnewline
222 & 10.5 & 17.8689050549175 \tabularnewline
223 & 10.5 & 17.8689050549175 \tabularnewline
224 & 10.5 & 17.8689050549175 \tabularnewline
225 & 10.5 & 17.8689050549175 \tabularnewline
226 & 10.5 & 17.8689050549175 \tabularnewline
227 & 10.5 & 17.8689050549175 \tabularnewline
228 & 10.5 & 17.8689050549175 \tabularnewline
229 & 10.5 & 17.8689050549175 \tabularnewline
230 & 10.5 & 17.8689050549175 \tabularnewline
231 & 10.5 & 17.8689050549175 \tabularnewline
232 & 10.5 & 17.8689050549175 \tabularnewline
233 & 10.5 & 17.8689050549175 \tabularnewline
234 & 10.5 & 17.8689050549175 \tabularnewline
235 & 10.5 & 17.8689050549175 \tabularnewline
236 & 10.5 & 17.8689050549175 \tabularnewline
237 & 10.5 & 17.8689050549175 \tabularnewline
238 & 10.5 & 17.8689050549175 \tabularnewline
239 & 10.5 & 17.8689050549175 \tabularnewline
240 & 10.5 & 17.8689050549175 \tabularnewline
241 & 10.5 & 17.8689050549175 \tabularnewline
242 & 10.5 & 17.8689050549175 \tabularnewline
243 & 10.5 & 17.8689050549175 \tabularnewline
244 & 10.5 & 17.8689050549175 \tabularnewline
245 & 10.5 & 17.8689050549175 \tabularnewline
246 & 10.5 & 17.8689050549175 \tabularnewline
247 & 10.5 & 17.8689050549175 \tabularnewline
248 & 10.5 & 17.8689050549175 \tabularnewline
249 & 10.5 & 17.8689050549175 \tabularnewline
250 & 10.5 & 17.8689050549175 \tabularnewline
251 & 10.5 & 17.8689050549175 \tabularnewline
252 & 10.5 & 17.8689050549175 \tabularnewline
253 & 10.5 & 17.8689050549175 \tabularnewline
254 & 10.5 & 17.8689050549175 \tabularnewline
255 & 10.5 & 17.8689050549175 \tabularnewline
256 & 10.5 & 17.8689050549175 \tabularnewline
257 & 10.5 & 17.8689050549175 \tabularnewline
258 & 10.5 & 17.8689050549175 \tabularnewline
259 & 10.5 & 17.8689050549175 \tabularnewline
260 & 10.5 & 17.8689050549175 \tabularnewline
261 & 10.5 & 17.8689050549175 \tabularnewline
262 & 10.5 & 17.8689050549175 \tabularnewline
263 & 10.5 & 17.8689050549175 \tabularnewline
264 & 10.5 & 17.8689050549175 \tabularnewline
265 & 10.5 & 17.8689050549175 \tabularnewline
266 & 10.5 & 17.8689050549175 \tabularnewline
267 & 10.5 & 17.8689050549175 \tabularnewline
268 & 10.5 & 17.8689050549175 \tabularnewline
269 & 10.5 & 17.8689050549175 \tabularnewline
270 & 10.5 & 17.8689050549175 \tabularnewline
271 & 10.5 & 17.8689050549175 \tabularnewline
272 & 10.5 & 17.8689050549175 \tabularnewline
273 & 10.5 & 17.8689050549175 \tabularnewline
274 & 10.5 & 17.8689050549175 \tabularnewline
275 & 10.5 & 17.8689050549175 \tabularnewline
276 & 10.5 & 17.8689050549175 \tabularnewline
277 & 10.5 & 17.8689050549175 \tabularnewline
278 & 10.5 & 17.8689050549175 \tabularnewline
279 & 10.5 & 17.8689050549175 \tabularnewline
280 & 10.5 & 17.8689050549175 \tabularnewline
281 & 10.5 & 17.8689050549175 \tabularnewline
282 & 10.5 & 17.8689050549175 \tabularnewline
283 & 10.5 & 17.8689050549175 \tabularnewline
284 & 10.5 & 17.8689050549175 \tabularnewline
285 & 10.5 & 17.8689050549175 \tabularnewline
286 & 10.5 & 17.8689050549175 \tabularnewline
287 & 10.5 & 17.8689050549175 \tabularnewline
288 & 10.5 & 17.8689050549175 \tabularnewline
289 & 10.5 & 17.8689050549175 \tabularnewline
290 & 10.5 & 17.8689050549175 \tabularnewline
291 & 12.5 & 22.9267557005424 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319151&T=2

[TABLE]
[ROW][C]Obs.[/C][C]Original[/C][C]Transformed[/C][/ROW]
[ROW][C]1[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]2[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]3[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]4[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]5[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]6[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]7[/C][C]0.5[/C][C]-0.446218264259418[/C][/ROW]
[ROW][C]8[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]9[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]10[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]11[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]12[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]13[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]14[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]15[/C][C]2.5[/C][C]1.84148919688188[/C][/ROW]
[ROW][C]16[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]17[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]18[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]19[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]20[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]21[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]22[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]23[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]24[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]25[/C][C]3.5[/C][C]3.35794336336114[/C][/ROW]
[ROW][C]26[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]27[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]28[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]29[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]30[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]31[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]32[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]33[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]34[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]35[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]36[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]37[/C][C]4.5[/C][C]5.05039149406579[/C][/ROW]
[ROW][C]38[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]39[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]40[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]41[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]42[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]43[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]44[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]45[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]46[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]47[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]48[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]49[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]50[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]51[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]52[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]53[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]54[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]55[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]56[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]57[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]58[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]59[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]60[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]61[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]62[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]63[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]64[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]65[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]66[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]67[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]68[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]69[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]70[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]71[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]72[/C][C]5.5[/C][C]6.89301951703742[/C][/ROW]
[ROW][C]73[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]74[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]75[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]76[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]77[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]78[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]79[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]80[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]81[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]82[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]83[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]84[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]85[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]86[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]87[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]88[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]89[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]90[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]91[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]92[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]93[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]94[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]95[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]96[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]97[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]98[/C][C]6.5[/C][C]8.86807298987499[/C][/ROW]
[ROW][C]99[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]100[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]101[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]102[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]103[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]104[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]105[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]106[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]107[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]108[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]109[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]110[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]111[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]112[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]113[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]114[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]115[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]116[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]117[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]118[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]119[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]120[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]121[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]122[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]123[/C][C]7.5[/C][C]10.9624272546599[/C][/ROW]
[ROW][C]124[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]125[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]126[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]127[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]128[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]129[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]130[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]131[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]132[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]133[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]134[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]135[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]136[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]137[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]138[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]139[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]140[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]141[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]142[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]143[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]144[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]145[/C][C]8.5[/C][C]13.1658991734021[/C][/ROW]
[ROW][C]146[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]147[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]148[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]149[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]150[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]151[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]152[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]153[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]154[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]155[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]156[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]157[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]158[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]159[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]160[/C][C]9.5[/C][C]15.4703077463909[/C][/ROW]
[ROW][C]161[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]162[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]163[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]164[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]165[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]166[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]167[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]168[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]169[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]170[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]171[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]172[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]173[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]174[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]175[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]176[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]177[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]178[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]179[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]180[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]181[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]182[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]183[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]184[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]185[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]186[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]187[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]188[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]189[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]190[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]191[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]192[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]193[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]194[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]195[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]196[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]197[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]198[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]199[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]200[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]201[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]202[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]203[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]204[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]205[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]206[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]207[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]208[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]209[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]210[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]211[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]212[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]213[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]214[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]215[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]216[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]217[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]218[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]219[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]220[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]221[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]222[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]223[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]224[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]225[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]226[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]227[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]228[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]229[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]230[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]231[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]232[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]233[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]234[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]235[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]236[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]237[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]238[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]239[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]240[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]241[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]242[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]243[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]244[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]245[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]246[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]247[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]248[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]249[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]250[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]251[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]252[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]253[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]254[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]255[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]256[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]257[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]258[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]259[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]260[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]261[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]262[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]263[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]264[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]265[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]266[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]267[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]268[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]269[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]270[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]271[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]272[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]273[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]274[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]275[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]276[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]277[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]278[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]279[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]280[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]281[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]282[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]283[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]284[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]285[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]286[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]287[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]288[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]289[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]290[/C][C]10.5[/C][C]17.8689050549175[/C][/ROW]
[ROW][C]291[/C][C]12.5[/C][C]22.9267557005424[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319151&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319151&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Obs.OriginalTransformed
10.5-0.446218264259418
20.5-0.446218264259418
30.5-0.446218264259418
40.5-0.446218264259418
50.5-0.446218264259418
60.5-0.446218264259418
70.5-0.446218264259418
82.51.84148919688188
92.51.84148919688188
102.51.84148919688188
112.51.84148919688188
122.51.84148919688188
132.51.84148919688188
142.51.84148919688188
152.51.84148919688188
163.53.35794336336114
173.53.35794336336114
183.53.35794336336114
193.53.35794336336114
203.53.35794336336114
213.53.35794336336114
223.53.35794336336114
233.53.35794336336114
243.53.35794336336114
253.53.35794336336114
264.55.05039149406579
274.55.05039149406579
284.55.05039149406579
294.55.05039149406579
304.55.05039149406579
314.55.05039149406579
324.55.05039149406579
334.55.05039149406579
344.55.05039149406579
354.55.05039149406579
364.55.05039149406579
374.55.05039149406579
385.56.89301951703742
395.56.89301951703742
405.56.89301951703742
415.56.89301951703742
425.56.89301951703742
435.56.89301951703742
445.56.89301951703742
455.56.89301951703742
465.56.89301951703742
475.56.89301951703742
485.56.89301951703742
495.56.89301951703742
505.56.89301951703742
515.56.89301951703742
525.56.89301951703742
535.56.89301951703742
545.56.89301951703742
555.56.89301951703742
565.56.89301951703742
575.56.89301951703742
585.56.89301951703742
595.56.89301951703742
605.56.89301951703742
615.56.89301951703742
625.56.89301951703742
635.56.89301951703742
645.56.89301951703742
655.56.89301951703742
665.56.89301951703742
675.56.89301951703742
685.56.89301951703742
695.56.89301951703742
705.56.89301951703742
715.56.89301951703742
725.56.89301951703742
736.58.86807298987499
746.58.86807298987499
756.58.86807298987499
766.58.86807298987499
776.58.86807298987499
786.58.86807298987499
796.58.86807298987499
806.58.86807298987499
816.58.86807298987499
826.58.86807298987499
836.58.86807298987499
846.58.86807298987499
856.58.86807298987499
866.58.86807298987499
876.58.86807298987499
886.58.86807298987499
896.58.86807298987499
906.58.86807298987499
916.58.86807298987499
926.58.86807298987499
936.58.86807298987499
946.58.86807298987499
956.58.86807298987499
966.58.86807298987499
976.58.86807298987499
986.58.86807298987499
997.510.9624272546599
1007.510.9624272546599
1017.510.9624272546599
1027.510.9624272546599
1037.510.9624272546599
1047.510.9624272546599
1057.510.9624272546599
1067.510.9624272546599
1077.510.9624272546599
1087.510.9624272546599
1097.510.9624272546599
1107.510.9624272546599
1117.510.9624272546599
1127.510.9624272546599
1137.510.9624272546599
1147.510.9624272546599
1157.510.9624272546599
1167.510.9624272546599
1177.510.9624272546599
1187.510.9624272546599
1197.510.9624272546599
1207.510.9624272546599
1217.510.9624272546599
1227.510.9624272546599
1237.510.9624272546599
1248.513.1658991734021
1258.513.1658991734021
1268.513.1658991734021
1278.513.1658991734021
1288.513.1658991734021
1298.513.1658991734021
1308.513.1658991734021
1318.513.1658991734021
1328.513.1658991734021
1338.513.1658991734021
1348.513.1658991734021
1358.513.1658991734021
1368.513.1658991734021
1378.513.1658991734021
1388.513.1658991734021
1398.513.1658991734021
1408.513.1658991734021
1418.513.1658991734021
1428.513.1658991734021
1438.513.1658991734021
1448.513.1658991734021
1458.513.1658991734021
1469.515.4703077463909
1479.515.4703077463909
1489.515.4703077463909
1499.515.4703077463909
1509.515.4703077463909
1519.515.4703077463909
1529.515.4703077463909
1539.515.4703077463909
1549.515.4703077463909
1559.515.4703077463909
1569.515.4703077463909
1579.515.4703077463909
1589.515.4703077463909
1599.515.4703077463909
1609.515.4703077463909
16110.517.8689050549175
16210.517.8689050549175
16310.517.8689050549175
16410.517.8689050549175
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29112.522.9267557005424







Maximum Likelihood Estimation of Lambda
> summary(mypT)
bcPower Transformation to Normality 
  Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x    1.6796        1.68       1.3756       1.9836
Likelihood ratio test that transformation parameter is equal to 0
 (log transformation)
                           LRT df       pval
LR test, lambda = (0) 264.7451  1 < 2.22e-16
Likelihood ratio test that no transformation is needed
                           LRT df       pval
LR test, lambda = (1) 24.92264  1 5.9678e-07

\begin{tabular}{lllllllll}
\hline
Maximum Likelihood Estimation of Lambda \tabularnewline
> summary(mypT)
bcPower Transformation to Normality 
  Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x    1.6796        1.68       1.3756       1.9836
Likelihood ratio test that transformation parameter is equal to 0
 (log transformation)
                           LRT df       pval
LR test, lambda = (0) 264.7451  1 < 2.22e-16
Likelihood ratio test that no transformation is needed
                           LRT df       pval
LR test, lambda = (1) 24.92264  1 5.9678e-07
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=319151&T=3

[TABLE]
[ROW][C]Maximum Likelihood Estimation of Lambda[/C][/ROW]
[ROW][C]
> summary(mypT)
bcPower Transformation to Normality 
  Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x    1.6796        1.68       1.3756       1.9836
Likelihood ratio test that transformation parameter is equal to 0
 (log transformation)
                           LRT df       pval
LR test, lambda = (0) 264.7451  1 < 2.22e-16
Likelihood ratio test that no transformation is needed
                           LRT df       pval
LR test, lambda = (1) 24.92264  1 5.9678e-07
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319151&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319151&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Likelihood Estimation of Lambda
> summary(mypT)
bcPower Transformation to Normality 
  Est Power Rounded Pwr Wald Lwr Bnd Wald Upr Bnd
x    1.6796        1.68       1.3756       1.9836
Likelihood ratio test that transformation parameter is equal to 0
 (log transformation)
                           LRT df       pval
LR test, lambda = (0) 264.7451  1 < 2.22e-16
Likelihood ratio test that no transformation is needed
                           LRT df       pval
LR test, lambda = (1) 24.92264  1 5.9678e-07



Parameters (Session):
par1 = Full Box-Cox transform ; par2 = -5 ; par3 = 5 ; par4 = 0.5 ; par5 = Yes ;
Parameters (R input):
par1 = Full Box-Cox transform ; par2 = -5 ; par3 = 5 ; par4 = 0.5 ; par5 = Yes ;
R code (references can be found in the software module):
library(car)
par2 <- abs(as.numeric(par2)*100)
par3 <- as.numeric(par3)*100
if(par4=='') par4 <- 0
par4 <- as.numeric(par4)
numlam <- par2 + par3 + 1
x <- x + par4
n <- length(x)
c <- array(NA,dim=c(numlam))
l <- array(NA,dim=c(numlam))
mx <- -1
mxli <- -999
for (i in 1:numlam)
{
l[i] <- (i-par2-1)/100
if (l[i] != 0)
{
if (par1 == 'Full Box-Cox transform') x1 <- (x^l[i] - 1) / l[i]
if (par1 == 'Simple Box-Cox transform') x1 <- x^l[i]
} else {
x1 <- log(x)
}
c[i] <- cor(qnorm(ppoints(x), mean=0, sd=1),sort(x1))
if (mx < c[i])
{
mx <- c[i]
mxli <- l[i]
x1.best <- x1
}
}
print(c)
print(mx)
print(mxli)
print(x1.best)
if (mxli != 0)
{
if (par1 == 'Full Box-Cox transform') x1 <- (x^mxli - 1) / mxli
if (par1 == 'Simple Box-Cox transform') x1 <- x^mxli
} else {
x1 <- log(x)
}
mypT <- powerTransform(x)
summary(mypT)
bitmap(file='test1.png')
plot(l,c,main='Box-Cox Normality Plot', xlab='Lambda',ylab='correlation')
mtext(paste('Optimal Lambda =',mxli))
grid()
dev.off()
bitmap(file='test2.png')
hist(x,main='Histogram of Original Data',xlab='X',ylab='frequency')
grid()
dev.off()
bitmap(file='test3.png')
hist(x1,main='Histogram of Transformed Data', xlab='X',ylab='frequency')
grid()
dev.off()
bitmap(file='test4.png')
qqPlot(x)
grid()
mtext('Original Data')
dev.off()
bitmap(file='test5.png')
qqPlot(x1)
grid()
mtext('Transformed Data')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Box-Cox Normality Plot',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'# observations x',header=TRUE)
a<-table.element(a,n)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'maximum correlation',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'optimal lambda',header=TRUE)
a<-table.element(a,mxli)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'transformation formula',header=TRUE)
if (par1 == 'Full Box-Cox transform') {
a<-table.element(a,'for all lambda <> 0 : T(Y) = (Y^lambda - 1) / lambda')
} else {
a<-table.element(a,'for all lambda <> 0 : T(Y) = Y^lambda')
}
a<-table.row.end(a)
if(mx<0) {
a<-table.row.start(a)
a<-table.element(a,'Warning: maximum correlation is negative! The Box-Cox transformation must not be used.',2)
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
if(par5=='Yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Obs.',header=T)
a<-table.element(a,'Original',header=T)
a<-table.element(a,'Transformed',header=T)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i)
a<-table.element(a,x[i])
a<-table.element(a,x1.best[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Maximum Likelihood Estimation of Lambda',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('
',RC.texteval('summary(mypT)'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')