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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_boxcoxnorm.wasp
Title produced by softwareBox-Cox Normality Plot
Date of computationMon, 02 Nov 2009 23:22:24 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/02/t1257200597al5vh5yx05omzqi.htm/, Retrieved Sat, 27 Apr 2024 15:13:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=53051, Retrieved Sat, 27 Apr 2024 15:13:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact494

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Box-Cox Normality Plot] [3/11/2009] [2009-11-02 22:22:24] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-   PD    [Box-Cox Normality Plot] [] [2009-11-04 15:53:45] [8d2349dc1d6314bc274adc9ad027c980]
-   PD    [Box-Cox Normality Plot] [] [2009-11-04 15:57:29] [4d62210f0915d3a20cbf115865da7cd4]
- R PD    [Box-Cox Normality Plot] [box cox normality...] [2009-11-04 16:20:05] [757146c69eaf0537be37c7b0c18216d8]
-    D    [Box-Cox Normality Plot] [Box Cox normality...] [2009-11-04 19:49:27] [214e6e00abbde49700521a7ef1d30da2]
-    D    [Box-Cox Normality Plot] [WS L] [2009-11-04 23:17:50] [6e4e01d7eb22a9f33d58ebb35753a195]
- RM D    [Univariate Explorative Data Analysis] [WS 6 Univariate E...] [2009-11-05 10:17:08] [b103a1dc147def8132c7f643ad8c8f84]
- RM D    [Univariate Explorative Data Analysis] [WS 6 Univariate E...] [2009-11-05 10:18:56] [b103a1dc147def8132c7f643ad8c8f84]
- RM D    [Univariate Explorative Data Analysis] [WS 6 Univariate E...] [2009-11-05 10:20:48] [b103a1dc147def8132c7f643ad8c8f84]
- RM D    [Univariate Explorative Data Analysis] [WS 6 Univariate E...] [2009-11-05 10:22:27] [b103a1dc147def8132c7f643ad8c8f84]
-   PD    [Box-Cox Normality Plot] [box-cox normality...] [2009-11-05 10:50:30] [cd6314e7e707a6546bd4604c9d1f2b69]
-    D    [Box-Cox Normality Plot] [WS 6 Box-Cox Norm...] [2009-11-05 10:56:13] [b103a1dc147def8132c7f643ad8c8f84]
-    D      [Box-Cox Normality Plot] [Paper: Box-Cox no...] [2009-12-17 12:38:22] [b103a1dc147def8132c7f643ad8c8f84]
-    D    [Box-Cox Normality Plot] [SHW WS6 - Box Cox...] [2009-11-05 10:57:03] [253127ae8da904b75450fbd69fe4eb21]
-    D    [Box-Cox Normality Plot] [Box-Cox Normality...] [2009-11-05 12:24:21] [4395c69e961f9a13a0559fd2f0a72538]
-    D    [Box-Cox Normality Plot] [shwws6vr1] [2009-11-05 15:55:18] [2b2cfeea2f5ac2a1bcb842baaf1415ef]
-    D    [Box-Cox Normality Plot] [Shwws6v1] [2009-11-05 15:52:05] [5f89c040fdf1f8599c99d7f78a662321]
-    D    [Box-Cox Normality Plot] [WS6] [2009-11-05 18:21:19] [eaf42bcf5162b5692bb3c7f9d4636222]
-           [Box-Cox Normality Plot] [Workshop 6: Analy...] [2009-11-11 14:47:25] [3cb427d596a5d2eb77fa64560dc91319]
-    D      [Box-Cox Normality Plot] [] [2009-11-13 15:25:17] [09f192433169b2c787c4a71fde86e883]
-    D    [Box-Cox Normality Plot] [Shw6: Box-Cox Nor...] [2009-11-05 20:57:28] [3c8b83428ce260cd44df892bb7619588]
- R PD    [Box-Cox Normality Plot] [] [2009-11-05 21:24:38] [1f74ef2f756548f1f3a7b6136ea56d7f]
-    D    [Box-Cox Normality Plot] [normality] [2009-11-06 08:51:23] [315ba876df544ad397193b5931d5f354]
-           [Box-Cox Normality Plot] [Paper] [2009-12-10 18:07:26] [3e19a07d230ba260a720e0e03e0f40f2]
-    D    [Box-Cox Normality Plot] [] [2009-11-06 11:04:22] [74be16979710d4c4e7c6647856088456]
-    D    [Box-Cox Normality Plot] [W6-Boxcoxnormalit...] [2009-11-07 12:39:12] [408e92805dcb18620260f240a7fb9d53]
-    D    [Box-Cox Normality Plot] [ws 6] [2009-11-07 14:35:46] [b5908418e3090fddbd22f5f0f774653d]
-    D    [Box-Cox Normality Plot] [WS 6: Box-Cox Nor...] [2009-11-07 16:22:36] [8cf9233b7464ea02e32be3b30fdac052]
-   P       [Box-Cox Normality Plot] [WS 6: Box-Cox Nor...] [2009-11-12 17:21:50] [b97b96148b0223bc16666763988dc147]
-    D    [Box-Cox Normality Plot] [SHWWS6linklaatste] [2009-11-08 12:45:22] [a66d3a79ef9e5308cd94a469bc5ca464]
-    D    [Box-Cox Normality Plot] [Workshop 6 Box Co...] [2009-11-08 14:37:13] [f924a0adda9c1905a1ba8f1c751261ff]
-    D    [Box-Cox Normality Plot] [Box Cox normality...] [2009-11-08 14:58:44] [d46757a0a8c9b00540ab7e7e0c34bfc4]
-    D      [Box-Cox Normality Plot] [] [2009-11-11 13:04:35] [ee35698a38947a6c6c039b1e3deafc05]
-   PD    [Box-Cox Normality Plot] [] [2009-11-08 16:29:12] [cf890101a20378422561610e0d41fd9c]
-    D    [Box-Cox Normality Plot] [Box-Cox Normality...] [2009-11-08 17:23:09] [e2a6b1b31bd881219e1879835b4c60d0]
-   PD    [Box-Cox Normality Plot] [Box Cox Normality...] [2009-11-09 08:55:43] [2f74b736c031245eb7b9a6567f4b8492]
-   PD    [Box-Cox Normality Plot] [WS 6 Box-Cox Norm...] [2009-11-09 10:52:11] [83058a88a37d754675a5cd22dab372fc]
-   PD    [Box-Cox Normality Plot] [workshop 6] [2009-11-09 11:39:29] [3e19a07d230ba260a720e0e03e0f40f2]
-    D    [Box-Cox Normality Plot] [Box Cox Norm Plot...] [2009-11-09 13:02:38] [134dc66689e3d457a82860db6471d419]
-    D    [Box-Cox Normality Plot] [WS 6: Box-Cox Nor...] [2009-11-09 13:07:57] [74be16979710d4c4e7c6647856088456]
- R  D    [Box-Cox Normality Plot] [workshop 6] [2009-11-09 17:44:48] [3d8acb8ffdb376c5fec19e610f8198c2]
-   PD      [Box-Cox Normality Plot] [workshop 6] [2009-11-09 20:44:02] [3d8acb8ffdb376c5fec19e610f8198c2]
-    D    [Box-Cox Normality Plot] [JJ Workshop 6, Bo...] [2009-11-09 19:08:37] [96e597a9107bfe8c07649cce3d4f6fec]
-    D      [Box-Cox Normality Plot] [Paper, Box-Cox No...] [2009-12-23 21:26:34] [96e597a9107bfe8c07649cce3d4f6fec]
-         [Box-Cox Normality Plot] [] [2009-11-09 20:06:42] [023d83ebdf42a2acf423907b4076e8a1]
-    D    [Box-Cox Normality Plot] [] [2009-11-09 20:14:01] [023d83ebdf42a2acf423907b4076e8a1]
-    D      [Box-Cox Normality Plot] [WS 6 BCNP] [2009-11-10 19:23:34] [830e13ac5e5ac1e5b21c6af0c149b21d]
-    D    [Box-Cox Normality Plot] [transformatie] [2009-11-09 20:19:37] [023d83ebdf42a2acf423907b4076e8a1]
-    D      [Box-Cox Normality Plot] [WS 6 transformatie] [2009-11-10 19:31:57] [830e13ac5e5ac1e5b21c6af0c149b21d]

[Truncated]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
109.20
88.60
94.30
98.30
86.40
80.60
104.10
108.20
93.40
71.90
94.10
94.90
96.40
91.10
84.40
86.40
88.00
75.10
109.70
103.00
82.10
68.00
96.40
94.30
90.00
88.00
76.10
82.50
81.40
66.50
97.20
94.10
80.70
70.50
87.80
89.50
99.60
84.20
75.10
92.00
80.80
73.10
99.80
90.00
83.10
72.40
78.80
87.30
91.00
80.10
73.60
86.40
74.50
71.20
92.40
81.50
85.30
69.90
84.20
90.70
100.30

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53051&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53051&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53051&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Box-Cox Normality Plot
# observations x61
maximum correlation0
optimal lambda-999

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 61 \tabularnewline
maximum correlation & 0 \tabularnewline
optimal lambda & -999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53051&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]61[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0[/C][/ROW]
[ROW][C]optimal lambda[/C][C]-999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53051&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53051&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Box-Cox Normality Plot
# observations x61
maximum correlation0
optimal lambda-999


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
n <- length(x)
c <- array(NA,dim=c(401))
l <- array(NA,dim=c(401))
mx <- 0
mxli <- -999
for (i in 1:401)
{
l[i] <- (i-201)/100
if (l[i] != 0)
{
x1 <- (x^l[i] - 1) / l[i]
} else {
x1 <- log(x)
}
c[i] <- cor(qnorm(ppoints(x), mean=0, sd=1),x1)
if (mx < c[i])
{
mx <- c[i]
mxli <- l[i]
}
}
c
mx
mxli
if (mxli != 0)
{
x1 <- (x^mxli - 1) / mxli
} else {
x1 <- log(x)
}
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')
qqnorm(x)
qqline(x)
grid()
mtext('Original Data')
dev.off()
bitmap(file='test5.png')
qqnorm(x1)
qqline(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.end(a)
table.save(a,file='mytable.tab')