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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 computationWed, 16 Aug 2017 18:34:56 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/16/t1502901313tc0jskj2mdktqri.htm/, Retrieved Sun, 12 May 2024 02:39:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307446, Retrieved Sun, 12 May 2024 02:39:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70

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] [SD en mean plot: ...] [2017-08-16 16:34:56] [de0d54ff4aa383cef5d270d23e3500df] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
336960.00
324480.00
343200.00
274560.00
355680.00
349440.00
374400.00
386880.00
430560.00
374400.00
355680.00
443040.00
374400.00
280800.00
330720.00
249600.00
349440.00
287040.00
380640.00
343200.00
361920.00
405600.00
399360.00
474240.00
343200.00
287040.00
318240.00
230880.00
330720.00
255840.00
361920.00
343200.00
305760.00
436800.00
393120.00
449280.00
336960.00
312000.00
280800.00
230880.00
305760.00
274560.00
374400.00
361920.00
312000.00
418080.00
386880.00
499200.00
399360.00
243360.00
243360.00
243360.00
287040.00
287040.00
386880.00
355680.00
318240.00
399360.00
368160.00
530400.00
418080.00
243360.00
255840.00
212160.00
293280.00
336960.00
424320.00
418080.00
336960.00
393120.00
349440.00
499200.00
380640.00
305760.00
274560.00
205920.00
305760.00
368160.00
430560.00
405600.00
299520.00
430560.00
336960.00
517920.00
430560.00
312000.00
287040.00
193440.00
305760.00
293280.00
443040.00
443040.00
336960.00
436800.00
324480.00
505440.00
430560.00
318240.00
243360.00
168480.00
330720.00
318240.00
418080.00
480480.00
355680.00
399360.00
299520.00
517920.00

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307446&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307446&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307446&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
136244045190.2547821179168480
235308061627.0306691058224640
333800066136.1504776321218400
434112072445.2656085331268320
533852085605.1009525187287040
634840086170.0779114927287040
735516084369.4628082072312000
835932090639.6084401396312000
935672098872.1267827564349440

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 362440 & 45190.2547821179 & 168480 \tabularnewline
2 & 353080 & 61627.0306691058 & 224640 \tabularnewline
3 & 338000 & 66136.1504776321 & 218400 \tabularnewline
4 & 341120 & 72445.2656085331 & 268320 \tabularnewline
5 & 338520 & 85605.1009525187 & 287040 \tabularnewline
6 & 348400 & 86170.0779114927 & 287040 \tabularnewline
7 & 355160 & 84369.4628082072 & 312000 \tabularnewline
8 & 359320 & 90639.6084401396 & 312000 \tabularnewline
9 & 356720 & 98872.1267827564 & 349440 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307446&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]362440[/C][C]45190.2547821179[/C][C]168480[/C][/ROW]
[ROW][C]2[/C][C]353080[/C][C]61627.0306691058[/C][C]224640[/C][/ROW]
[ROW][C]3[/C][C]338000[/C][C]66136.1504776321[/C][C]218400[/C][/ROW]
[ROW][C]4[/C][C]341120[/C][C]72445.2656085331[/C][C]268320[/C][/ROW]
[ROW][C]5[/C][C]338520[/C][C]85605.1009525187[/C][C]287040[/C][/ROW]
[ROW][C]6[/C][C]348400[/C][C]86170.0779114927[/C][C]287040[/C][/ROW]
[ROW][C]7[/C][C]355160[/C][C]84369.4628082072[/C][C]312000[/C][/ROW]
[ROW][C]8[/C][C]359320[/C][C]90639.6084401396[/C][C]312000[/C][/ROW]
[ROW][C]9[/C][C]356720[/C][C]98872.1267827564[/C][C]349440[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307446&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307446&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
136244045190.2547821179168480
235308061627.0306691058224640
333800066136.1504776321218400
434112072445.2656085331268320
533852085605.1009525187287040
634840086170.0779114927287040
735516084369.4628082072312000
835932090639.6084401396312000
935672098872.1267827564349440






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha114423.759391796
beta-0.107448317059866
S.D.0.68875700161761
T-STAT-0.156003230177716
p-value0.88043412050898

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 114423.759391796 \tabularnewline
beta & -0.107448317059866 \tabularnewline
S.D. & 0.68875700161761 \tabularnewline
T-STAT & -0.156003230177716 \tabularnewline
p-value & 0.88043412050898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307446&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]114423.759391796[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059866[/C][/ROW]
[ROW][C]S.D.[/C][C]0.68875700161761[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177716[/C][/ROW]
[ROW][C]p-value[/C][C]0.88043412050898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307446&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307446&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)
alpha114423.759391796
beta-0.107448317059866
S.D.0.68875700161761
T-STAT-0.156003230177716
p-value0.88043412050898






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha27.7736077818688
beta-1.29633550728098
S.D.3.45582772786283
T-STAT-0.375115778147503
p-value0.718681736243663
Lambda2.29633550728098

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 27.7736077818688 \tabularnewline
beta & -1.29633550728098 \tabularnewline
S.D. & 3.45582772786283 \tabularnewline
T-STAT & -0.375115778147503 \tabularnewline
p-value & 0.718681736243663 \tabularnewline
Lambda & 2.29633550728098 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307446&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]27.7736077818688[/C][/ROW]
[ROW][C]beta[/C][C]-1.29633550728098[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45582772786283[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115778147503[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681736243663[/C][/ROW]
[ROW][C]Lambda[/C][C]2.29633550728098[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307446&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307446&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)
alpha27.7736077818688
beta-1.29633550728098
S.D.3.45582772786283
T-STAT-0.375115778147503
p-value0.718681736243663
Lambda2.29633550728098


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')