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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, 12 Dec 2007 03:32:43 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/12/t11974546823a0brproe2v323l.htm/, Retrieved Thu, 02 May 2024 20:13:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3194, Retrieved Thu, 02 May 2024 20:13:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact223

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] [SDMP werkloosheid] [2007-12-12 10:32:43] [44cf2be50bc8700e14714598feda9df9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
523000
519000
509000
512000
519000
517000
510000
509000
501000
507000
569000
580000
578000
565000
547000
555000
562000
561000
555000
544000
537000
543000
594000
611000
613000
611000
594000
595000
591000
589000
584000
573000
567000
569000
621000
629000
628000
612000
595000
597000
593000
590000
580000
574000
573000
573000
620000
626000
620000
588000
566000
557000
561000
549000
532000
526000
511000
499000
555000
565000
542000

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3194&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3194&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3194&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1522916.66666666724963.458142337657000
2562666.66666666721988.9779552292000
3594666.66666666720290.3171413601120000
459675020436.7093953281116000
5552416.66666666732991.6196888993101000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 522916.666666667 & 24963.4581423376 & 57000 \tabularnewline
2 & 562666.666666667 & 21988.97795522 & 92000 \tabularnewline
3 & 594666.666666667 & 20290.3171413601 & 120000 \tabularnewline
4 & 596750 & 20436.7093953281 & 116000 \tabularnewline
5 & 552416.666666667 & 32991.6196888993 & 101000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3194&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]522916.666666667[/C][C]24963.4581423376[/C][C]57000[/C][/ROW]
[ROW][C]2[/C][C]562666.666666667[/C][C]21988.97795522[/C][C]92000[/C][/ROW]
[ROW][C]3[/C][C]594666.666666667[/C][C]20290.3171413601[/C][C]120000[/C][/ROW]
[ROW][C]4[/C][C]596750[/C][C]20436.7093953281[/C][C]116000[/C][/ROW]
[ROW][C]5[/C][C]552416.666666667[/C][C]32991.6196888993[/C][C]101000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3194&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3194&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
1522916.66666666724963.458142337657000
2562666.66666666721988.9779552292000
3594666.66666666720290.3171413601120000
459675020436.7093953281116000
5552416.66666666732991.6196888993101000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha79370.0972006309
beta-0.0976100151432896
S.D.0.0813402300744193
T-STAT-1.20002137999837
p-value0.316254939585698

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 79370.0972006309 \tabularnewline
beta & -0.0976100151432896 \tabularnewline
S.D. & 0.0813402300744193 \tabularnewline
T-STAT & -1.20002137999837 \tabularnewline
p-value & 0.316254939585698 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3194&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]79370.0972006309[/C][/ROW]
[ROW][C]beta[/C][C]-0.0976100151432896[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0813402300744193[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.20002137999837[/C][/ROW]
[ROW][C]p-value[/C][C]0.316254939585698[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3194&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3194&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)
alpha79370.0972006309
beta-0.0976100151432896
S.D.0.0813402300744193
T-STAT-1.20002137999837
p-value0.316254939585698






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha39.8022884940015
beta-2.24449501428299
S.D.1.68061647549503
T-STAT-1.33551886882572
p-value0.273992340200765
Lambda3.24449501428299

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 39.8022884940015 \tabularnewline
beta & -2.24449501428299 \tabularnewline
S.D. & 1.68061647549503 \tabularnewline
T-STAT & -1.33551886882572 \tabularnewline
p-value & 0.273992340200765 \tabularnewline
Lambda & 3.24449501428299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3194&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]39.8022884940015[/C][/ROW]
[ROW][C]beta[/C][C]-2.24449501428299[/C][/ROW]
[ROW][C]S.D.[/C][C]1.68061647549503[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.33551886882572[/C][/ROW]
[ROW][C]p-value[/C][C]0.273992340200765[/C][/ROW]
[ROW][C]Lambda[/C][C]3.24449501428299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3194&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3194&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)
alpha39.8022884940015
beta-2.24449501428299
S.D.1.68061647549503
T-STAT-1.33551886882572
p-value0.273992340200765
Lambda3.24449501428299


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')