R version 3.2.2 (2015-08-14) -- "Fire Safety" Copyright (C) 2015 The R Foundation for Statistical Computing Platform: x86_64-pc-linux-gnu (64-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- c(80.44,80.9,81.03,81.6,81.56,82.08,83.44,83.55,82.63,82.43,82.42,82.48,82.51,83.23,83.41,83.88,83.96,84.32,85.82,85.72,84.36,84.36,84.36,85.08,84.95,85.62,86.22,86.4,86.71,87.51,89.22,89.43,88.24,88.9,88.78,89.25,88.8,89.46,89.66,90.29,90.08,90.42,92.14,92.09,91.35,91.22,90.99,91.48,90.98,91.52,91.62,92.12,92.26,92.18,94.12,93.82,93.2,93.34,93.11,93.63,93.29,93.69,94.19,94.82,94.52,94.94,96.87,96.6,95.43,95.56,95.37,96,95.6,96.17,96.26,97.2,97.23,97.74,99.37,99.37,98.22,98.27,97.98,98.53,97.98,98.63,98.74,99.37,99.51,99.66,101.62,101.71,100.49,100.81,100.48,101.01,100.62,101.12,101.45,101.34,101.39,101.93,102.42,102.18,102.72,102.43,102.35,102.69) > par1 = '12' > par1 <- '12' > #'GNU S' R Code compiled by R2WASP v. 1.2.291 () > #Author: root > #To cite this work: Wessa P. (2012), Standard Deviation-Mean Plot (v1.0.6) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_smp.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > # > par1 <- as.numeric(par1) > (n <- length(x)) [1] 108 > (np <- floor(n / par1)) [1] 9 > 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 [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [1,] 80.44 82.51 84.95 88.80 90.98 93.29 95.60 97.98 100.62 [2,] 80.90 83.23 85.62 89.46 91.52 93.69 96.17 98.63 101.12 [3,] 81.03 83.41 86.22 89.66 91.62 94.19 96.26 98.74 101.45 [4,] 81.60 83.88 86.40 90.29 92.12 94.82 97.20 99.37 101.34 [5,] 81.56 83.96 86.71 90.08 92.26 94.52 97.23 99.51 101.39 [6,] 82.08 84.32 87.51 90.42 92.18 94.94 97.74 99.66 101.93 [7,] 83.44 85.82 89.22 92.14 94.12 96.87 99.37 101.62 102.42 [8,] 83.55 85.72 89.43 92.09 93.82 96.60 99.37 101.71 102.18 [9,] 82.63 84.36 88.24 91.35 93.20 95.43 98.22 100.49 102.72 [10,] 82.43 84.36 88.90 91.22 93.34 95.56 98.27 100.81 102.43 [11,] 82.42 84.36 88.78 90.99 93.11 95.37 97.98 100.48 102.35 [12,] 82.48 85.08 89.25 91.48 93.63 96.00 98.53 101.01 102.69 > 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 [1] 82.04667 84.25083 87.60250 90.66500 92.65833 95.10667 97.66167 [8] 100.00083 101.88667 > arr.sd [1] 0.9715530 0.9700277 1.5746637 1.0547081 1.0117566 1.0920567 1.2142999 [8] 1.2057699 0.6842691 > arr.range [1] 3.11 3.31 4.48 3.34 3.14 3.58 3.77 3.73 2.10 > (lm1 <- lm(arr.sd~arr.mean)) Call: lm(formula = arr.sd ~ arr.mean) Coefficients: (Intercept) arr.mean 1.663847 -0.006246 > (lnlm1 <- lm(log(arr.sd)~log(arr.mean))) Call: lm(formula = log(arr.sd) ~ log(arr.mean)) Coefficients: (Intercept) log(arr.mean) 2.7189 -0.5875 > (lm2 <- lm(arr.range~arr.mean)) Call: lm(formula = arr.range ~ arr.mean) Coefficients: (Intercept) arr.mean 5.522 -0.023 > postscript(file="/var/wessaorg/rcomp/tmp/1hhvr1447956991.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2jsf51447956991.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range') > dev.off() null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/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="/var/wessaorg/rcomp/tmp/36jfi1447956991.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="/var/wessaorg/rcomp/tmp/4wn6x1447956991.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="/var/wessaorg/rcomp/tmp/5wj281447956991.tab") > > try(system("convert tmp/1hhvr1447956991.ps tmp/1hhvr1447956991.png",intern=TRUE)) character(0) > try(system("convert tmp/2jsf51447956991.ps tmp/2jsf51447956991.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 0.866 0.162 1.029