Home » date » 2009 » May » 21 »

Opgave 8, oefening 3: Jan Vanstraelen

*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: Thu, 21 May 2009 08:09:07 -0600
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/May/21/t1242914972umfs2xphrsf8403.htm/, Retrieved Thu, 21 May 2009 16:09:32 +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/2009/May/21/t1242914972umfs2xphrsf8403.htm/},
    year = {2009},
}
@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 = {2009},
    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 «
11310 64305 15310 37299 21302 61308 72300 26303 18301 54305 66309 50301 31298 52291 87286 81288 14293 90302 50306 15310 44310 26314 98313 76310 25313 48309 95307 10320 87327 63328 34333 90333 81332 7342 30424 13344 88347 40339 23330 1339 10341 46342 81342 2342 76350 35368 93367 88377 39376 41366 77375 56382 79397 26385 73397 28404 98413 73414 47423 52431 24441 92439 90441 441 13448 18458 18459 69477 41491 10492 73508 82515 13525 55533 19550 85558 57563 60570 49568 51570 26561 61558 78548 77537 539 18540 47542 86542 81544 16543 22538 25538 99527 63518 95508 65496 5488 96475 81465 5463 81458 74445 21434 67427 27418 81407 82395 97359
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13205624346.882634127952995
245303.2525311.69712965450998
34730420496.829380825448008
463040.7526102.066219298955988
542552.7535967.043520191376009
661311.7532186.653614761971999
744812.2537111.916768741584987
868830.2525979.690983214856000
933110.533601.887144424973990
1038338.7536964.262672433687008
1135091.7536289.573804560879000
1273365.526319.336244163457999
1353624.7517559.239075673737999
1451895.7528409.406815055753012
1567920.2523238.210019635050990
1651940.546657.753921508191998
1729960.526450.005904221156029
1852001.532797.928923434672023
1943541.533594.46724784772033
2054817.755122.907141783211002
216105124274.474618413551987
2238290.7537545.7743150586003
2336540.7530234.30739380965001
2481012.2519146.153075313436009
2547222.7548593.490279906291012
266119127116.578877137160024
2772144.7530697.977505312469941


Regression: S.E.(k) = alpha + beta * Mean(k)
alpha40452.6766980363
beta-0.216171964428819
S.D.0.120212076624788
T-STAT-1.79825497153290
p-value0.0842240124420447


Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.5909495477718
beta-0.403984241737736
S.D.0.291322097284921
T-STAT-1.3867270814772
p-value0.177767154273889
Lambda1.40398424173774
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/May/21/t1242914972umfs2xphrsf8403/1l9dt1242914942.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/May/21/t1242914972umfs2xphrsf8403/1l9dt1242914942.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/May/21/t1242914972umfs2xphrsf8403/20n9q1242914942.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/May/21/t1242914972umfs2xphrsf8403/20n9q1242914942.ps (open in new window)


 
Parameters (Session):
 
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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Software written by Ed van Stee & Patrick Wessa


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