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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, 25 May 2013 11:33:47 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/25/t1369496046e922r23l7qlb0is.htm/, Retrieved Thu, 02 May 2024 17:08:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210522, Retrieved Thu, 02 May 2024 17:08:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [] [2013-04-25 16:50:56] [a336235b4e17fb25709c82cf0b669eff]
- RMPD    [Standard Deviation-Mean Plot] [] [2013-05-25 15:33:47] [62245d2aecd9fec3f8945b8ab574a701] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
547084.00
639842.00
770730.00
911599.00
971249.00
925102.00
906046.00
1006991.00
1013942.00
991188.00
819356.00
793778.00
601962.00
685640.00
785923.00
954888.00
1029140.00
972811.00
951330.00
1012865.00
1005502.00
987489.00
828421.00
817308.00
625827.00
683491.00
848657.00
978027.00
1019467.00
980306.00
992574.00
1080411.00
1047988.00
1023560.00
871245.00
824793.00
645999.00
736888.00
874488.00
992614.00
1107708.00
955938.00
1024122.00
1081598.00
1028158.00
1006457.00
826725.00
839116.00
591481.00
671244.00
788395.00
912291.00
987428.00
873452.00
952046.00
1037521.00
958597.00
965368.00
780741.00
814377.00
594739.00
668940.00
815882.00
928023.00
1025552.00
945840.00
1020639.00
1109899.00
1033403.00
1050530.00
840420.00
820378.00
609379.00
678402.00
889241.00
998445.00
1054502.00
1076699.00
1093802.00
1134793.00
1054084.00
1068675.00
857337.00
855380.00

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210522&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]2 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=210522&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210522&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1858075.583333333149014.957912076466858
2886106.583333333140319.494165966427178
3914695.5145748.775602217454584
4926650.916666667142483.307432171461709
5861078.416666667135234.208925551446040
6904520.416666667159832.289259972515160
7947561.583333333170563.969910763525414

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 858075.583333333 & 149014.957912076 & 466858 \tabularnewline
2 & 886106.583333333 & 140319.494165966 & 427178 \tabularnewline
3 & 914695.5 & 145748.775602217 & 454584 \tabularnewline
4 & 926650.916666667 & 142483.307432171 & 461709 \tabularnewline
5 & 861078.416666667 & 135234.208925551 & 446040 \tabularnewline
6 & 904520.416666667 & 159832.289259972 & 515160 \tabularnewline
7 & 947561.583333333 & 170563.969910763 & 525414 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210522&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]858075.583333333[/C][C]149014.957912076[/C][C]466858[/C][/ROW]
[ROW][C]2[/C][C]886106.583333333[/C][C]140319.494165966[/C][C]427178[/C][/ROW]
[ROW][C]3[/C][C]914695.5[/C][C]145748.775602217[/C][C]454584[/C][/ROW]
[ROW][C]4[/C][C]926650.916666667[/C][C]142483.307432171[/C][C]461709[/C][/ROW]
[ROW][C]5[/C][C]861078.416666667[/C][C]135234.208925551[/C][C]446040[/C][/ROW]
[ROW][C]6[/C][C]904520.416666667[/C][C]159832.289259972[/C][C]515160[/C][/ROW]
[ROW][C]7[/C][C]947561.583333333[/C][C]170563.969910763[/C][C]525414[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210522&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210522&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
1858075.583333333149014.957912076466858
2886106.583333333140319.494165966427178
3914695.5145748.775602217454584
4926650.916666667142483.307432171461709
5861078.416666667135234.208925551446040
6904520.416666667159832.289259972515160
7947561.583333333170563.969910763525414






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-54407.9068750135
beta0.226087103416887
S.D.0.129435625720616
T-STAT1.74671464798178
p-value0.141118536884625

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -54407.9068750135 \tabularnewline
beta & 0.226087103416887 \tabularnewline
S.D. & 0.129435625720616 \tabularnewline
T-STAT & 1.74671464798178 \tabularnewline
p-value & 0.141118536884625 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210522&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-54407.9068750135[/C][/ROW]
[ROW][C]beta[/C][C]0.226087103416887[/C][/ROW]
[ROW][C]S.D.[/C][C]0.129435625720616[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.74671464798178[/C][/ROW]
[ROW][C]p-value[/C][C]0.141118536884625[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210522&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210522&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)
alpha-54407.9068750135
beta0.226087103416887
S.D.0.129435625720616
T-STAT1.74671464798178
p-value0.141118536884625






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.10174800223854
beta1.31376263320648
S.D.0.768373818241507
T-STAT1.70979619817493
p-value0.14799594661455
Lambda-0.313762633206482

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.10174800223854 \tabularnewline
beta & 1.31376263320648 \tabularnewline
S.D. & 0.768373818241507 \tabularnewline
T-STAT & 1.70979619817493 \tabularnewline
p-value & 0.14799594661455 \tabularnewline
Lambda & -0.313762633206482 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210522&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.10174800223854[/C][/ROW]
[ROW][C]beta[/C][C]1.31376263320648[/C][/ROW]
[ROW][C]S.D.[/C][C]0.768373818241507[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.70979619817493[/C][/ROW]
[ROW][C]p-value[/C][C]0.14799594661455[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.313762633206482[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210522&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210522&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-6.10174800223854
beta1.31376263320648
S.D.0.768373818241507
T-STAT1.70979619817493
p-value0.14799594661455
Lambda-0.313762633206482


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')