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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSat, 06 Aug 2016 15:37:20 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Aug/06/t1470494329xp68lch6rhku9pl.htm/, Retrieved Mon, 06 May 2024 17:43:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296060, Retrieved Mon, 06 May 2024 17:43:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

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] [Standard deviatio...] [2016-08-06 14:37:20] [e98d32ae432942f69cb1b3451eac7d8c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
107478
107564
107641
107726
107808
107894
107976
108061
108147
108229
108314
108397
108482
108567
108647
108732
108815
108900
108983
109068
109153
109236
109321
109403
109489
109574
109651
109736
109819
109904
109986
110072
110157
110239
110325
110407
110492
110578
110655
110740
110822
110908
110990
111075
111161
111243
111328
111411
111496
111581
111658
111744
111826
111911
111994
112079
112164
112247
112332
112415
112500
112585
112665
112750
112833
112918
113000
113086
113171
113253
113339
113421
113506
113592
113669
113754
113836
113922
114004
114089
114175
114257
114342
114425
114510
114595
114672
114758
114840
114925
115008
115093
115178
115261
115346
115429
115514
115599
115676
115761
115844
115929
116012
116097
116182
116265
116350
116432

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'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296060&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296060&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296060&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1107936.25301.574692994199919
2108942.25302.402238147081921
3109946.583333333301.549772262416918
4110950.25301.574692994199919
5111953.916666667301.725479785044919
6112960.083333333302.301913605748921
7113964.25301.574692994199919
8114967.916666667301.725479785044919
9115971.75301.650045582625918

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 107936.25 & 301.574692994199 & 919 \tabularnewline
2 & 108942.25 & 302.402238147081 & 921 \tabularnewline
3 & 109946.583333333 & 301.549772262416 & 918 \tabularnewline
4 & 110950.25 & 301.574692994199 & 919 \tabularnewline
5 & 111953.916666667 & 301.725479785044 & 919 \tabularnewline
6 & 112960.083333333 & 302.301913605748 & 921 \tabularnewline
7 & 113964.25 & 301.574692994199 & 919 \tabularnewline
8 & 114967.916666667 & 301.725479785044 & 919 \tabularnewline
9 & 115971.75 & 301.650045582625 & 918 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296060&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]107936.25[/C][C]301.574692994199[/C][C]919[/C][/ROW]
[ROW][C]2[/C][C]108942.25[/C][C]302.402238147081[/C][C]921[/C][/ROW]
[ROW][C]3[/C][C]109946.583333333[/C][C]301.549772262416[/C][C]918[/C][/ROW]
[ROW][C]4[/C][C]110950.25[/C][C]301.574692994199[/C][C]919[/C][/ROW]
[ROW][C]5[/C][C]111953.916666667[/C][C]301.725479785044[/C][C]919[/C][/ROW]
[ROW][C]6[/C][C]112960.083333333[/C][C]302.301913605748[/C][C]921[/C][/ROW]
[ROW][C]7[/C][C]113964.25[/C][C]301.574692994199[/C][C]919[/C][/ROW]
[ROW][C]8[/C][C]114967.916666667[/C][C]301.725479785044[/C][C]919[/C][/ROW]
[ROW][C]9[/C][C]115971.75[/C][C]301.650045582625[/C][C]918[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296060&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296060&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
1107936.25301.574692994199919
2108942.25302.402238147081921
3109946.583333333301.549772262416918
4110950.25301.574692994199919
5111953.916666667301.725479785044919
6112960.083333333302.301913605748921
7113964.25301.574692994199919
8114967.916666667301.725479785044919
9115971.75301.650045582625918






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha303.552971462449
beta-1.57779292502081e-05
S.D.4.46948750708026e-05
T-STAT-0.353014282402933
p-value0.734469083324438

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 303.552971462449 \tabularnewline
beta & -1.57779292502081e-05 \tabularnewline
S.D. & 4.46948750708026e-05 \tabularnewline
T-STAT & -0.353014282402933 \tabularnewline
p-value & 0.734469083324438 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296060&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]303.552971462449[/C][/ROW]
[ROW][C]beta[/C][C]-1.57779292502081e-05[/C][/ROW]
[ROW][C]S.D.[/C][C]4.46948750708026e-05[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.353014282402933[/C][/ROW]
[ROW][C]p-value[/C][C]0.734469083324438[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296060&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296060&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)
alpha303.552971462449
beta-1.57779292502081e-05
S.D.4.46948750708026e-05
T-STAT-0.353014282402933
p-value0.734469083324438






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.77695115111922
beta-0.00578308033458134
S.D.0.016567314484397
T-STAT-0.349065646096584
p-value0.737304471175824
Lambda1.00578308033458

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.77695115111922 \tabularnewline
beta & -0.00578308033458134 \tabularnewline
S.D. & 0.016567314484397 \tabularnewline
T-STAT & -0.349065646096584 \tabularnewline
p-value & 0.737304471175824 \tabularnewline
Lambda & 1.00578308033458 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296060&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.77695115111922[/C][/ROW]
[ROW][C]beta[/C][C]-0.00578308033458134[/C][/ROW]
[ROW][C]S.D.[/C][C]0.016567314484397[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.349065646096584[/C][/ROW]
[ROW][C]p-value[/C][C]0.737304471175824[/C][/ROW]
[ROW][C]Lambda[/C][C]1.00578308033458[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296060&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296060&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)
alpha5.77695115111922
beta-0.00578308033458134
S.D.0.016567314484397
T-STAT-0.349065646096584
p-value0.737304471175824
Lambda1.00578308033458


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
Parameters (R input):
par1 = 12 ;
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')