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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 computationFri, 07 Aug 2015 17:54:54 +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/2015/Aug/07/t1438966517a8up1vkxh4a5rn4.htm/, Retrieved Wed, 15 May 2024 04:42:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279919, Retrieved Wed, 15 May 2024 04:42:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Notched Boxplots] [] [2014-10-04 09:51:16] [3d50c3f1d1505d45371c80c331b9aa00]
-    D  [Notched Boxplots] [] [2015-08-03 11:42:45] [74be16979710d4c4e7c6647856088456]
- RMP     [Harrell-Davis Quantiles] [] [2015-08-07 13:17:48] [74be16979710d4c4e7c6647856088456]
- R         [Harrell-Davis Quantiles] [] [2015-08-07 13:20:06] [74be16979710d4c4e7c6647856088456]
- RMP         [Mean Plot] [] [2015-08-07 14:32:20] [74be16979710d4c4e7c6647856088456]
- RM              [Standard Deviation-Mean Plot] [] [2015-08-07 16:54:54] [d41d8cd98f00b204e9800998ecf8427e] [Current]
- RMP               [Classical Decomposition] [] [2015-08-10 06:43:53] [74be16979710d4c4e7c6647856088456]
- RMP               [Exponential Smoothing] [] [2015-08-10 06:56:42] [74be16979710d4c4e7c6647856088456]
- RMPD              [Univariate Data Series] [] [2015-08-10 07:12:59] [74be16979710d4c4e7c6647856088456]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3469648.00
3456726.00
3443622.00
3416504.00
3684772.00
3670576.00
3469648.00
3336060.00
3348982.00
3348982.00
3363360.00
3389204.00
3429426.00
3429426.00
3403582.00
3336060.00
3684772.00
3737916.00
3657654.00
3469648.00
3550092.00
3429426.00
3483844.00
3509870.00
3536988.00
3469648.00
3483844.00
3389204.00
3684772.00
3778138.00
3697876.00
3550092.00
3710798.00
3536988.00
3697876.00
3684772.00
3724994.00
3577210.00
3737916.00
3724994.00
3966144.00
3911726.00
3697876.00
3590132.00
3737916.00
3536988.00
3684772.00
3710798.00
3765216.00
3644732.00
3710798.00
3751020.00
3898804.00
3778138.00
3617432.00
3443622.00
3604510.00
3162250.00
3376282.00
3496766.00
3617432.00
3443622.00
3443622.00
3443622.00
3536988.00
3403582.00
3228498.00
3081988.00
3188276.00
2773316.00
3027570.00
3175354.00
3202472.00
3054688.00
3067610.00
3027570.00
3162250.00
3067610.00
2881060.00
2746198.00
2974244.00
2479022.00
2800616.00
2947126.00
2947126.00
2773316.00
2612610.00
2599688.00
2746198.00
2612610.00
2358538.00
2183454.00
2371460.00
1929382.00
2331238.00
2545088.00
2612610.00
2464826.00
2278094.00
2411682.00
2464826.00
2424604.00
2022566.00
1836016.00
1969422.00
1567566.00
1982526.00
2130310.00
2250794.00
2049866.00
1861860.00
1969422.00
2022566.00
1916278.00
1514422.00
1339338.00
1500044.00
1057966.00
1540266.00
1836016.00

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' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279919&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' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279919&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279919&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' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13449840.33333333116909.283046404348712
23510143124048.612803793401856
33601749.66666667121675.896311272388934
43716788.83333333124490.623499292429156
53604130.83333333205006.22742729736554
63280322.5244422.471899671844116
72950872.16666667201007.421343697723450
82500892.33333333280159.1688579041017744
92180420.66666667312835.292087571045044
101738236.5346222.3923960651192828

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3449840.33333333 & 116909.283046404 & 348712 \tabularnewline
2 & 3510143 & 124048.612803793 & 401856 \tabularnewline
3 & 3601749.66666667 & 121675.896311272 & 388934 \tabularnewline
4 & 3716788.83333333 & 124490.623499292 & 429156 \tabularnewline
5 & 3604130.83333333 & 205006.22742729 & 736554 \tabularnewline
6 & 3280322.5 & 244422.471899671 & 844116 \tabularnewline
7 & 2950872.16666667 & 201007.421343697 & 723450 \tabularnewline
8 & 2500892.33333333 & 280159.168857904 & 1017744 \tabularnewline
9 & 2180420.66666667 & 312835.29208757 & 1045044 \tabularnewline
10 & 1738236.5 & 346222.392396065 & 1192828 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279919&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]3449840.33333333[/C][C]116909.283046404[/C][C]348712[/C][/ROW]
[ROW][C]2[/C][C]3510143[/C][C]124048.612803793[/C][C]401856[/C][/ROW]
[ROW][C]3[/C][C]3601749.66666667[/C][C]121675.896311272[/C][C]388934[/C][/ROW]
[ROW][C]4[/C][C]3716788.83333333[/C][C]124490.623499292[/C][C]429156[/C][/ROW]
[ROW][C]5[/C][C]3604130.83333333[/C][C]205006.22742729[/C][C]736554[/C][/ROW]
[ROW][C]6[/C][C]3280322.5[/C][C]244422.471899671[/C][C]844116[/C][/ROW]
[ROW][C]7[/C][C]2950872.16666667[/C][C]201007.421343697[/C][C]723450[/C][/ROW]
[ROW][C]8[/C][C]2500892.33333333[/C][C]280159.168857904[/C][C]1017744[/C][/ROW]
[ROW][C]9[/C][C]2180420.66666667[/C][C]312835.29208757[/C][C]1045044[/C][/ROW]
[ROW][C]10[/C][C]1738236.5[/C][C]346222.392396065[/C][C]1192828[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279919&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279919&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
13449840.33333333116909.283046404348712
23510143124048.612803793401856
33601749.66666667121675.896311272388934
43716788.83333333124490.623499292429156
53604130.83333333205006.22742729736554
63280322.5244422.471899671844116
72950872.16666667201007.421343697723450
82500892.33333333280159.1688579041017744
92180420.66666667312835.292087571045044
101738236.5346222.3923960651192828






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha553168.59639043
beta-0.113151792219188
S.D.0.0185894327362386
T-STAT-6.08688784777212
p-value0.000293686871073618

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 553168.59639043 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362386 \tabularnewline
T-STAT & -6.08688784777212 \tabularnewline
p-value & 0.000293686871073618 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279919&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]553168.59639043[/C][/ROW]
[ROW][C]beta[/C][C]-0.113151792219188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185894327362386[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08688784777212[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073618[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279919&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279919&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)
alpha553168.59639043
beta-0.113151792219188
S.D.0.0185894327362386
T-STAT-6.08688784777212
p-value0.000293686871073618






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha32.8198034093303
beta-1.38589065989076
S.D.0.316605261909546
T-STAT-4.37734563074543
p-value0.00235715681397506
Lambda2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 32.8198034093303 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909546 \tabularnewline
T-STAT & -4.37734563074543 \tabularnewline
p-value & 0.00235715681397506 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279919&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]32.8198034093303[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909546[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37734563074543[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397506[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279919&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279919&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)
alpha32.8198034093303
beta-1.38589065989076
S.D.0.316605261909546
T-STAT-4.37734563074543
p-value0.00235715681397506
Lambda2.38589065989076


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
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')