| | *The author of this computation has been verified* | R Software Module: /rwasp_boxcoxlin.wasp (opens new window with default values) | Title produced by software: Box-Cox Linearity Plot | Date of computation: Tue, 10 Nov 2009 04:13:46 -0700 | | Cite this page as follows: | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9.htm/, Retrieved Tue, 10 Nov 2009 12:14:24 +0100 | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9.htm/},
year = {2009},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2009},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | Original text written by user: | | | IsPrivate? | No (this computation is public) | | User-defined keywords: | | | Dataseries X: | » Textbox « » Textfile « » CSV « | 100
108.1560276
114.0150276
102.1880309
110.3672031
96.8602511
94.1944583
99.51621961
94.06333487
97.5541476
78.15062422
81.2434643
92.36262465
96.06324371
114.0523777
110.6616666
104.9171949
90.00187193
95.7008067
86.02741157
84.85287668
100.04328
80.91713823
74.06539709
77.30281369
97.23043249
90.75515676
100.5614455
92.01293267
99.24012138
105.8672755
90.9920463
93.30624423
91.17419413
77.33295039
91.1277721
85.01249943
83.90390242
104.8626302
110.9039108
95.43714373
111.6238727
108.8925403
96.17511682
101.9740205
99.11953031
86.78158147
118.4195003
118.7441447
106.5296192
134.7772694
104.6778714
105.2954304
139.4139849
103.6060491
99.78182974
103.4610301
120.0594945
96.71377168
107.1308929
105.3608372
111.6942359
132.0519998
126.8037879
154.4824253
141.5570984
109.9506882
127.904198
133.0888617
120.0796299
117.5557142
143.0362309
159.982927
128.5991124
149.7373327
126.8169313
140.9639674
137.6691981
117.9402337
122.3095247
127 etc... | | Dataseries Y: | » Textbox « » Textfile « » CSV « | 100
211,3043478
333,9130435
187,826087
254,7826087
121,7391304
113,9130435
140,8695652
142,6086957
173,9130435
121,7391304
113,9130435
115,6521739
155,6521739
256,5217391
217,3913043
230,4347826
171,3043478
155,6521739
133,0434783
140,8695652
169,5652174
183,4782609
173,9130435
176,5217391
176,5217391
306,9565217
247,826087
171,3043478
140,8695652
171,3043478
153,0434783
184,3478261
236,5217391
177,3913043
164,3478261
208,6956522
211,3043478
403,4782609
328,6956522
261,7391304
254,7826087
277,3913043
282,6086957
357,3913043
284,3478261
183,4782609
186,0869565
179,1304348
175,6521739
317,3913043
375,6521739
277,3913043
313,9130435
203,4782609
199,1304348
240,8695652
238,2608696
258,2608696
335,6521739
302,6086957
373,9130435
570,4347826
382,6086957
307,826087
435,6521739
306,0869565
250,4347826
350,4347826
426,0869565
477,3913043
437,3913043
334,7826087
305,2173913
571,3043478
523,4782609
426,9565217
360,8695652
267,826087
254,78260 etc... | | Output produced by software: |
Box-Cox Linearity Plot | # observations x | 108 | maximum correlation | 0.68982084589958 | optimal lambda(x) | -0.33 | Residual SD (orginial) | 79.4267959035408 | Residual SD (transformed) | 78.3257718455003 |
| Charts produced by software: | | http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9/1rvxd1257851624.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9/1rvxd1257851624.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9/2iq3z1257851624.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9/2iq3z1257851624.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9/3dydu1257851624.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/10/t12578516609reo9ieoqh0kes9/3dydu1257851624.ps (open in new window) |
| | 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(x1,y)
if (mx < abs(c[i]))
{
mx <- abs(c[i])
mxli <- l[i]
}
}
c
mx
mxli
if (mxli != 0)
{
x1 <- (x^mxli - 1) / mxli
} else {
x1 <- log(x)
}
r<-lm(y~x)
se <- sqrt(var(r$residuals))
r1 <- lm(y~x1)
se1 <- sqrt(var(r1$residuals))
bitmap(file='test1.png')
plot(l,c,main='Box-Cox Linearity Plot',xlab='Lambda',ylab='correlation')
grid()
dev.off()
bitmap(file='test2.png')
plot(x,y,main='Linear Fit of Original Data',xlab='x',ylab='y')
abline(r)
grid()
mtext(paste('Residual Standard Deviation = ',se))
dev.off()
bitmap(file='test3.png')
plot(x1,y,main='Linear Fit of Transformed Data',xlab='x',ylab='y')
abline(r1)
grid()
mtext(paste('Residual Standard Deviation = ',se1))
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Box-Cox Linearity 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(x)',header=TRUE)
a<-table.element(a,mxli)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Residual SD (orginial)',header=TRUE)
a<-table.element(a,se)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Residual SD (transformed)',header=TRUE)
a<-table.element(a,se1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
| |
Copyright
This work is licensed under a
Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Software written by Ed van Stee & Patrick Wessa
Disclaimer
Information provided on this web site is provided
"AS IS" without warranty of any kind, either express or implied,
including, without limitation, warranties of merchantability, fitness
for a particular purpose, and noninfringement. We use reasonable
efforts to include accurate and timely information and periodically
update the information, and software without notice. However, we make
no warranties or representations as to the accuracy or
completeness of such information (or software), and we assume no
liability or responsibility for errors or omissions in the content of
this web site, or any software bugs in online applications. Your use of
this web site is AT YOUR OWN RISK. Under no circumstances and under no
legal theory shall we be liable to you or any other person
for any direct, indirect, special, incidental, exemplary, or
consequential damages arising from your access to, or use of, this web
site.
Privacy Policy
We may request personal information to be submitted to our servers in order to be able to:
- personalize online software applications according to your needs
- enforce strict security rules with respect to the data that you upload (e.g. statistical data)
- manage user sessions of online applications
- alert you about important changes or upgrades in resources or applications
We NEVER allow other companies to directly offer registered users
information about their products and services. Banner references and
hyperlinks of third parties NEVER contain any personal data of the
visitor.
We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.
We carefully protect your data from loss, misuse, alteration,
and destruction. However, at any time, and under any circumstance you
are solely responsible for managing your passwords, and keeping them
secret.
We store a unique ANONYMOUS USER ID in the form of a small
'Cookie' on your computer. This allows us to track your progress when
using this website which is necessary to create state-dependent
features. The cookie is used for NO OTHER PURPOSE. At any time you may
opt to disallow cookies from this website - this will not affect other
features of this website.
We examine cookies that are used by third-parties (banner and
online ads) very closely: abuse from third-parties automatically
results in termination of the advertising contract without refund. We
have very good reason to believe that the cookies that are produced by
third parties (banner ads) do NOT cause any privacy or security risk.
FreeStatistics.org is safe. There is no need to download any
software to use the applications and services contained in this
website. Hence, your system's security is not compromised by their use,
and your personal data - other than data you submit in the account
application form, and the user-agent information that is transmitted by
your browser - is never transmitted to our servers.
As a general rule, we do not log on-line behavior of
individuals (other than normal logging of webserver 'hits'). However,
in cases of abuse, hacking, unauthorized access, Denial of Service
attacks, illegal copying, hotlinking, non-compliance with international
webstandards (such as robots.txt), or any other harmful behavior, our
system engineers are empowered to log, track, identify, publish, and
ban misbehaving individuals - even if this leads to ban entire blocks
of IP addresses, or disclosing user's identity.
FreeStatistics.org is powered by
|
|