*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: Mon, 09 May 2011 18:13:22 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/May/09/t1304964585qim5874hey9vrv9.htm/, Retrieved Mon, 09 May 2011 20:09:45 +0200

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

KDGP2W83

Dataseries X:

» Textbox « » Textfile « » CSV «

30790 30800 31025 30835 31110 31270 31090 30755 31460 32135 32680 32700 32515 32275 32200 31835 31985 31875 31795 32260 33255 33160 32195 33130 33950 34210 33855 33735 34175 34265 33915 33660 33720 33810 33590 33545 33660 33165 33800 33880 33975 33930 33905 33890 33640 34395 34245 33940 34295 33745 33535 33715 33600 34120 34330 34130 33755 32910 32910 32850 32780 32565 31905 31975 31380 31355 31440 30310 31410 31300 31070 31075 31815

Output produced by software:

Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 Standard Deviation-Mean Plot Section Mean Standard Deviation Range 1 30862.5 110.037872268294 235 2 31056.25 216.38603620998 515 3 32243.75 584.399620693466 1240 4 32206.25 281.613653788306 680 5 31978.75 203.034274610635 465 6 32935 496.202243713858 1060 7 33937.5 201.845650601311 475 8 34003.75 273.019382706308 605 9 33666.25 121.200591307688 265 10 33626.25 320.660126405929 715 11 33925 37.1931893407023 85 12 34055 335.236235113887 755 13 33822.5 328.367172537085 760 14 34045 312.036322672003 730 15 33106.25 433.423868747442 905 16 32306.25 432.865933825551 875 17 31121.25 542.008225644839 1130 18 31213.75 169.183086231061 340 Regression: S.E.(k) = alpha + beta * Mean(k) alpha 636.070263053413 beta -0.0102532382640444 S.D. 0.0324564902603819 T-STAT -0.315907178557753 p-value 0.756156513140967 Regression: ln S.E.(k) = alpha + beta * ln Mean(k) alpha 18.8826716884395 beta -1.2837854344835 S.D. 4.67511983578548 T-STAT -0.274599471152981 p-value 0.787137996663762 Lambda 2.2837854344835

Charts produced by software:

http://www.freestatistics.org/blog/date/2011/May/09/t1304964585qim5874hey9vrv9/10dxs1304964798.png (open in new window) http://www.freestatistics.org/blog/date/2011/May/09/t1304964585qim5874hey9vrv9/10dxs1304964798.ps (open in new window) http://www.freestatistics.org/blog/date/2011/May/09/t1304964585qim5874hey9vrv9/2nh111304964798.png (open in new window) http://www.freestatistics.org/blog/date/2011/May/09/t1304964585qim5874hey9vrv9/2nh111304964798.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')

Copyright

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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