FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 10 May 2011 08:59:01 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/10/t1305017880o8k17onsd4z70hg.htm/, Retrieved Mon, 13 May 2024 03:28:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121369, Retrieved Mon, 13 May 2024 03:28:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact127

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [opdracht 8 - eige...] [2011-05-10 08:59:01] [0d1e0b2127d7a24abba9de0261e65ede] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
126.304
125.511
125.495
130.133
126.257
110.323
98.417
105.749
120.665
124.075
127.245
146.731
144.979
148.210
144.670
142.970
142.524
146.142
146.522
148.128
148.798
150.181
152.388
155.694
160.662
155.520
158.262
154.338
158.196
160.371
154.856
150.636
145.899
141.242
140.834
141.119
139.104
134.437
129.425
123.155
119.273
120.472
121.523
121.983
123.658
124.794
124.827
120.382
117.395
115.790
114.283
117.271
117.448
118.764
120.550
123.554
125.412
124.182
119.828
115.361
114.226
115.214
115.864
114.276
113.469
114.883
114.172
111.225
112.149
115.618
118.002
121.382
120.663

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121369&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121369&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121369&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1126.860752.213947360861754.63800000000001
2110.186511.782644567328727.84
3129.67911.681211010279126.066
4145.207252.188037990986455.24000000000001
5145.8292.365491069524465.60399999999998
6151.765253.007618922558726.89599999999999
7157.19552.835880286612966.32400000000001
8156.014754.242971393964389.73500000000001
9142.27352.423033429402085.065
10131.530256.8407547037345815.949
11120.812751.205664512485412.71000000000001
12123.415252.09392158003434.44499999999999
13116.184751.462546267074423.11199999999999
14120.0792.642527325623466.10600000000001
15121.195754.5683512981526910.051
16114.8950.789819388636841.63800000000001
17113.437251.583783313251323.658
18116.787753.893064463461499.233

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 126.86075 & 2.21394736086175 & 4.63800000000001 \tabularnewline
2 & 110.1865 & 11.7826445673287 & 27.84 \tabularnewline
3 & 129.679 & 11.6812110102791 & 26.066 \tabularnewline
4 & 145.20725 & 2.18803799098645 & 5.24000000000001 \tabularnewline
5 & 145.829 & 2.36549106952446 & 5.60399999999998 \tabularnewline
6 & 151.76525 & 3.00761892255872 & 6.89599999999999 \tabularnewline
7 & 157.1955 & 2.83588028661296 & 6.32400000000001 \tabularnewline
8 & 156.01475 & 4.24297139396438 & 9.73500000000001 \tabularnewline
9 & 142.2735 & 2.42303342940208 & 5.065 \tabularnewline
10 & 131.53025 & 6.84075470373458 & 15.949 \tabularnewline
11 & 120.81275 & 1.20566451248541 & 2.71000000000001 \tabularnewline
12 & 123.41525 & 2.0939215800343 & 4.44499999999999 \tabularnewline
13 & 116.18475 & 1.46254626707442 & 3.11199999999999 \tabularnewline
14 & 120.079 & 2.64252732562346 & 6.10600000000001 \tabularnewline
15 & 121.19575 & 4.56835129815269 & 10.051 \tabularnewline
16 & 114.895 & 0.78981938863684 & 1.63800000000001 \tabularnewline
17 & 113.43725 & 1.58378331325132 & 3.658 \tabularnewline
18 & 116.78775 & 3.89306446346149 & 9.233 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121369&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]126.86075[/C][C]2.21394736086175[/C][C]4.63800000000001[/C][/ROW]
[ROW][C]2[/C][C]110.1865[/C][C]11.7826445673287[/C][C]27.84[/C][/ROW]
[ROW][C]3[/C][C]129.679[/C][C]11.6812110102791[/C][C]26.066[/C][/ROW]
[ROW][C]4[/C][C]145.20725[/C][C]2.18803799098645[/C][C]5.24000000000001[/C][/ROW]
[ROW][C]5[/C][C]145.829[/C][C]2.36549106952446[/C][C]5.60399999999998[/C][/ROW]
[ROW][C]6[/C][C]151.76525[/C][C]3.00761892255872[/C][C]6.89599999999999[/C][/ROW]
[ROW][C]7[/C][C]157.1955[/C][C]2.83588028661296[/C][C]6.32400000000001[/C][/ROW]
[ROW][C]8[/C][C]156.01475[/C][C]4.24297139396438[/C][C]9.73500000000001[/C][/ROW]
[ROW][C]9[/C][C]142.2735[/C][C]2.42303342940208[/C][C]5.065[/C][/ROW]
[ROW][C]10[/C][C]131.53025[/C][C]6.84075470373458[/C][C]15.949[/C][/ROW]
[ROW][C]11[/C][C]120.81275[/C][C]1.20566451248541[/C][C]2.71000000000001[/C][/ROW]
[ROW][C]12[/C][C]123.41525[/C][C]2.0939215800343[/C][C]4.44499999999999[/C][/ROW]
[ROW][C]13[/C][C]116.18475[/C][C]1.46254626707442[/C][C]3.11199999999999[/C][/ROW]
[ROW][C]14[/C][C]120.079[/C][C]2.64252732562346[/C][C]6.10600000000001[/C][/ROW]
[ROW][C]15[/C][C]121.19575[/C][C]4.56835129815269[/C][C]10.051[/C][/ROW]
[ROW][C]16[/C][C]114.895[/C][C]0.78981938863684[/C][C]1.63800000000001[/C][/ROW]
[ROW][C]17[/C][C]113.43725[/C][C]1.58378331325132[/C][C]3.658[/C][/ROW]
[ROW][C]18[/C][C]116.78775[/C][C]3.89306446346149[/C][C]9.233[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121369&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121369&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1126.860752.213947360861754.63800000000001
2110.186511.782644567328727.84
3129.67911.681211010279126.066
4145.207252.188037990986455.24000000000001
5145.8292.365491069524465.60399999999998
6151.765253.007618922558726.89599999999999
7157.19552.835880286612966.32400000000001
8156.014754.242971393964389.73500000000001
9142.27352.423033429402085.065
10131.530256.8407547037345815.949
11120.812751.205664512485412.71000000000001
12123.415252.09392158003434.44499999999999
13116.184751.462546267074423.11199999999999
14120.0792.642527325623466.10600000000001
15121.195754.5683512981526910.051
16114.8950.789819388636841.63800000000001
17113.437251.583783313251323.658
18116.787753.893064463461499.233






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6.75348068261559
beta-0.0229335782547597
S.D.0.0516221357479538
T-STAT-0.444258609654071
p-value0.662805707638372

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.75348068261559 \tabularnewline
beta & -0.0229335782547597 \tabularnewline
S.D. & 0.0516221357479538 \tabularnewline
T-STAT & -0.444258609654071 \tabularnewline
p-value & 0.662805707638372 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121369&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.75348068261559[/C][/ROW]
[ROW][C]beta[/C][C]-0.0229335782547597[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0516221357479538[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.444258609654071[/C][/ROW]
[ROW][C]p-value[/C][C]0.662805707638372[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121369&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121369&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6.75348068261559
beta-0.0229335782547597
S.D.0.0516221357479538
T-STAT-0.444258609654071
p-value0.662805707638372






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.59045692370778
beta0.545776774174254
S.D.1.52744381563532
T-STAT0.357313813174363
p-value0.725526278196515
Lambda0.454223225825746

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.59045692370778 \tabularnewline
beta & 0.545776774174254 \tabularnewline
S.D. & 1.52744381563532 \tabularnewline
T-STAT & 0.357313813174363 \tabularnewline
p-value & 0.725526278196515 \tabularnewline
Lambda & 0.454223225825746 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121369&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.59045692370778[/C][/ROW]
[ROW][C]beta[/C][C]0.545776774174254[/C][/ROW]
[ROW][C]S.D.[/C][C]1.52744381563532[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.357313813174363[/C][/ROW]
[ROW][C]p-value[/C][C]0.725526278196515[/C][/ROW]
[ROW][C]Lambda[/C][C]0.454223225825746[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121369&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121369&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.59045692370778
beta0.545776774174254
S.D.1.52744381563532
T-STAT0.357313813174363
p-value0.725526278196515
Lambda0.454223225825746


Figures (Output of Computation)

Input Parameters & R Code

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')