*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, 24 May 2010 09:31:39 +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/24/t1274693521nem7qbyj7uefjfi.htm/, Retrieved Mon, 24 May 2010 11:32:03 +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/24/t1274693521nem7qbyj7uefjfi.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 «

1772.2 1769.5 1768 1794.8 1823.4 1856.9 1866.9 1869.8 1843.8 1837.1 1857.7 1840.3 1914.6 1972.9 2050.1 2086.2 2112.5 2147.6 2190.4 2194.1 2216.2 2218.6 2233.5 2307.2 2350.4 2368.2 2353.8 2316.5 2305.5 2308.4 2334.4 2381.2 2449.7 2490.3 2523.5 2537.6 2526.1 2545.9 2542.7 2584.3 2600.2 2593.9 2618.9 2591.3 2521.2 2536.6 2596.1 2656.6 2710.3 2778.8 2775.5 2785.2 2847.7 2834.4 2839 2802.6 2819.3 2872 2918.4 2977.8 3031.2 3064.7 3093 3100.6 3141.1 3180.4 3240.3 3265 3338.2 3376.6 3422.5 3432 3516.3 3564 3636.3 3724 3815.4 3828.1 3853.3 3884.5 3918.7 3919.6 3950.8 3981 4063 4132 4160.3 4178.3 4244.1 4256.5 4283.4 4263.3 4256.6 4264.3 4302.3 4256.6 4374 4398.8 4433.9 4446.3 4525.8 4633.1 4677.5 4754.5 4876.2 4932.6 4906.3 4953.1 4909.6 4922.2 4873.5 4854.3 4795.3 4831.9 4913.3 4977.5 5090.7 5128.9 5154.1 5191.5 5251.8 5356.1 5451.9 5450.8 5469.4 5684.6 5740.3 5816.2 5825.9 5831.4 5873.3 etc...

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 'Gwilym Jenkins' @ 72.249.127.135 Standard Deviation-Mean Plot Section Mean Standard Deviation Range 1 1776.125 12.5707000600603 26.8000000000000 2 1854.25 21.2960872775572 46.3999999999999 3 1844.725 9.07243995111942 20.6000000000001 4 2005.95 77.0852558318817 171.6 5 2161.15 38.6940563911307 81.5999999999999 6 2243.875 42.9046520399206 91 7 2347.225 21.8882578871260 51.6999999999998 8 2332.375 35.0478125803403 75.6999999999998 9 2500.275 39.1147350751606 87.900 10 2549.75 24.6140203948889 58.2000000000003 11 2601.075 12.4569592330285 27.5999999999999 12 2577.625 61.7662461759388 135.4 13 2762.45 34.9990952264006 74.8999999999996 14 2830.925 19.672209670836 45.0999999999999 15 2896.875 67.4507907045327 158.5 16 3072.375 31.4977644709378 69.4000000000001 17 3206.7 56.3409265099537 123.9 18 3392.325 43.4412534349552 93.8000000000002 19 3610.15 90.523090976833 207.7 20 3845.325 30.4985655400381 69.0999999999999 21 3942.525 29.6759582827582 62.3000000000002 22 4133.4 50.6548451121247 115.300000000000 23 4261.825 16.4335784295445 39.2999999999993 24 4269.95 21.8699946654466 45.6999999999998 25 4413.25 33.0055045914061 72.3000000000002 26 4647.725 95.510989769066 228.7 27 4917.05 33.2950947338095 76.9000000000005 28 4889.9 31.4520799524186 67.8999999999996 29 4879.5 81.857274162614 182.2 30 5141.3 42.4185494015690 100.800000000000 31 5377.65 95.1605835767448 200.099999999999 32 5677.625 148.926701769696 346.8 33 5855.025 31.2458397230738 63.6000000000004 34 5839 66.7503308356345 131.900000000000 35 5987.2 36.9053744956835 75.0999999999995 36 5870.95 13.3722349166723 31.8000000000002 37 6136.175 163.304263569571 381.6 38 6577.125 98.4380812152153 229 39 6849.25 98.1260923506075 215.599999999999 40 7086.55 60.1381465183842 130.599999999999 41 7313.275 112.102791371729 265 42 7613.9 98.2438123581666 237.400000000000 43 7885.925 62.9946757009402 138.099999999999 44 8033.925 33.5623176593436 70.7000000000007 45 8015.125 50.8155734002875 118.800000000000 46 8287.075 111.453110469530 259.400000000000 47 8523.45 89.7909609407685 211.299999999999 48 8870.675 114.926944186296 275.300000000001 49 9093.75 73.0682557613084 159 50 9433.925 145.778470632669 345.299999999999 51 9854.35 149.919322748381 342.699999999999 52 10283.525 175.751289706032 404.200000000001 53 10779.85 180.438216572875 413.099999999999 54 11225.975 126.587397345339 291.5 55 11347.175 37.4772264181859 82.8999999999996 56 11552.975 57.2213465413039 120.900000000000 57 11840.7 180.943324460082 397 58 12263.8 121.228132048629 282.699999999999 59 12638.375 95.9903250333077 214.600000000000 60 12976.25 60.7456719994661 144.800000000001 61 13254.05 128.547073089978 291.300000000001 62 13312.175 119.411818929283 273.400000000000 63 12988.725 114.764842903507 253.5 Regression: S.E.(k) = alpha + beta * Mean(k) alpha 16.7274750327130 beta 0.00859255772638258 S.D. 0.00129880772879621 T-STAT 6.61572728270296 p-value 1.05559017905406e-08 Regression: ln S.E.(k) = alpha + beta * ln Mean(k) alpha -3.08817977900728 beta 0.827810061573284 S.D. 0.118443962699814 T-STAT 6.98904395550572 p-value 2.41986803882557e-09 Lambda 0.172189938426716

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/May/24/t1274693521nem7qbyj7uefjfi/1w9d81274693497.png (open in new window) http://www.freestatistics.org/blog/date/2010/May/24/t1274693521nem7qbyj7uefjfi/1w9d81274693497.ps (open in new window) http://www.freestatistics.org/blog/date/2010/May/24/t1274693521nem7qbyj7uefjfi/2w9d81274693497.png (open in new window) http://www.freestatistics.org/blog/date/2010/May/24/t1274693521nem7qbyj7uefjfi/2w9d81274693497.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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