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*Unverified author*
R Software Module: /rwasp_smp.wasp (opens new window with default values)
Title produced by software: Standard Deviation-Mean Plot
Date of computation: Fri, 21 May 2010 17:10:59 +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/May/21/t1274461889qeh3d7gxo7b8qin.htm/, Retrieved Fri, 21 May 2010 19:11:31 +0200
 
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/May/21/t1274461889qeh3d7gxo7b8qin.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:
KDGP2W83
 
Dataseries X:
» Textbox « » Textfile « » CSV «
562674 599000 668516 597798 579889 668233 499232 215187 555813 586935 546136 571111 634712 639283 712182 621557 621000 675989 501322 220286 560727 602530 626379 605508 646783 658442 712906 687714 723916 707183 629000 237530 613296 730444 734925 651812 676155 748183 810681 729363 701108 790079 594621 230716 617189 691389 701067 705777 747636 773392 813788 766713 728875 749197 680954 241424 680234 708326 694238 772071 795337 788421 889968 797393 751000 821255 691605 290655 727147 868355 812390 799556 843038 847000 941952 804309 840307 871528 656330 370508 742000 847152 731675 898527 778139 856075 938833 813023 783417 828110 657311 310032 780000 860000 780000 807993 895217 856075 893268 875000 835088 934595 832500 300000 791443 900000 781729 880000 875024 992968 976804 968697 871675 1006852 832037 345587 849528 913871 868746 993733
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132


Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
160699744338.4306593426105842
2490635.25196174.102294153453046
3564998.7517876.800652894640799
4651933.540862.487756702690625
5504649.25203116.005851131455703
659878627501.902661452465652
7676461.2529778.829609584566123
8574407.25228362.953821871486386
9682619.2559938.5736643496121629
10741095.555519.6498638095134526
11579131245635.5020201559363
12678855.541545.010687205388588
13775382.2527832.672723198366152
14600112.5240831.031846673507773
15713717.2540557.756869062791837
16817779.7548278.2775264059101547
17638628.75237957.880564853530600
1880186258079.849328317141208
19859074.7558511.8303671716137643
20684668.25229956.304374512501020
21804838.581382.9264014674166852
22846517.569308.4846633753160694
23644717.5234551.586727384518078
24806998.2537718.19205966880000
2587989018302.587594836639142
26725545.75287651.114139305634595
2783829360392.1526193594118271
28953373.2553198.2661457746117944
29764037.75288830.668827920661265
30906469.564122.5324645453144205


Regression: S.E.(k) = alpha + beta * Mean(k)
alpha346036.576376717
beta-0.329386612109459
S.D.0.133706149399841
T-STAT-2.46351131633031
p-value0.0201662544553643


Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha35.996167376805
beta-1.83841401152622
S.D.0.899960528042731
T-STAT-2.04277182636495
p-value0.0505914374901396
Lambda2.83841401152622
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/May/21/t1274461889qeh3d7gxo7b8qin/1o0u81274461857.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/21/t1274461889qeh3d7gxo7b8qin/1o0u81274461857.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/May/21/t1274461889qeh3d7gxo7b8qin/2o0u81274461857.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/21/t1274461889qeh3d7gxo7b8qin/2o0u81274461857.ps (open in new window)


 
Parameters (Session):
par1 = 4 ;
 
Parameters (R input):
par1 = 4 ;
 
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')
 




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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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