| | *The author of this computation has been verified* | R Software Module: /rwasp_smp.wasp (opens new window with default values) | Title produced by software: Standard Deviation-Mean Plot | Date of computation: Fri, 24 Dec 2010 11:03:32 +0000 | | Cite this page as follows: | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/24/t1293188505tbmzwyrxxzneu5x.htm/, Retrieved Fri, 24 Dec 2010 12:01:45 +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/2010/Dec/24/t1293188505tbmzwyrxxzneu5x.htm/},
year = {2010},
}
@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 = {2010},
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 « | 11974
10106
12069
11412
11180
10508
11288
10928
10199
11030
11234
13747
13912
12376
12264
11675
11271
10672
10933
10379
10187
10747
10970
12175
14200
11676
11258
10872
11148
10690
10684
11658
10178
10981
10773
11665
11359
10716
12928
12317
11641
10459
10953
10703
10703
11101
11334
13268
13145
12334
13153
11289
11374
10914
11299
11284
10694
11077
11104
12820
14915
11773
11608
11468
11511
11200
11164
10960
10667
11556
11372
12333
13102
11115
12572
11557
12059
11420
11185
11113
10706
11523
11391
12634
13469
11735
13281
11968
11623
11084
11509
11134
10438
11530
11491
13093
13106
11305
13113
12203
11309
11088
11234
11619
10942
11445
11291
13281
13726
11300
11983
11092
11093
10692
10786
11166
10553
11103
10969
12090
12544
12264
13783
11214
11453
10883
10381
10348
10024
10805
10796
11907
12261
11377
12689
11474
10992
10764
12164
10409
10398
10349
10865
11630
12221
10884
12 etc... | | Output produced by software: |
Standard Deviation-Mean Plot | Section | Mean | Standard Deviation | Range | 1 | 11306.25 | 978.905058540594 | 3641 | 2 | 11463.4166666667 | 1067.15590224530 | 3725 | 3 | 11315.25 | 1018.37465199119 | 4022 | 4 | 11456.8333333333 | 919.71436606781 | 2809 | 5 | 11707.25 | 896.315196690417 | 2459 | 6 | 11710.5833333333 | 1092.08778021594 | 4248 | 7 | 11698.0833333333 | 731.927400564407 | 2396 | 8 | 11862.9166666667 | 940.568731076463 | 3031 | 9 | 11828 | 865.679134342721 | 2339 | 10 | 11379.4166666667 | 870.981103889937 | 3173 | 11 | 11366.8333333333 | 1088.77519453853 | 3759 | 12 | 11281 | 787.595997034936 | 2340 | 13 | 11085.1666666667 | 790.946939184962 | 2579 | 14 | 11261.3333333333 | 821.451413196437 | 2712 | 15 | 11186.25 | 1147.99818854783 | 4132 |
Regression: S.E.(k) = alpha + beta * Mean(k) | alpha | 1277.19404038628 | beta | -0.0298963172635848 | S.D. | 0.145337057236038 | T-STAT | -0.205703334250334 | p-value | 0.840208905821725 |
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) | alpha | 9.32521585709698 | beta | -0.266822697846112 | S.D. | 1.79594808555766 | T-STAT | -0.148569271011673 | p-value | 0.88417336779935 | Lambda | 1.26682269784611 |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/24/t1293188505tbmzwyrxxzneu5x/1gu8n1293188609.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/24/t1293188505tbmzwyrxxzneu5x/1gu8n1293188609.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/24/t1293188505tbmzwyrxxzneu5x/2gu8n1293188609.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/24/t1293188505tbmzwyrxxzneu5x/2gu8n1293188609.ps (open in new window) |
| | Parameters (Session): | par1 = 12 ; | | Parameters (R input): | par1 = 12 ; | | R code (references can be found in the software module): | par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.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
|