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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, 18 Mar 2016 12:30:36 +0000
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/Mar/18/t1458304268nr7s7ejaaenmdwa.htm/, Retrieved Thu, 02 May 2024 07:08:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294239, Retrieved Thu, 02 May 2024 07:08:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108

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] [] [2016-03-18 12:30:36] [4c0c83f68a39c2484f611b00ec7d20d3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
214320
212588
205816
202196
195722
198563
229139
229527
211868
203555
195770
199834
203089
198480
192684
187827
182414
182510
211524
211451
200140
191568
186424
191987
203583
201920
195978
191395
188222
189422
214419
224325
216222
210506
207221
210027
215191
215177
211701
210176
205491
206996
235980
241292
236675
229127
225436
229570
239973
236168
230703
224790
217811
219576
245472
248511
242084
235572
229827
229697
239567
237201
233164
227755
220189
221270
245413
247826
237736
230079
225939
228987

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294239&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294239&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'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1208241.511676.704691587733805
2195008.16666666710060.123565419829110
3204436.66666666711469.247849899536103
422190112574.230813272635801
5233348.6666666679756.3211242141830700
6232927.1666666678846.0491831955827637

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 208241.5 & 11676.7046915877 & 33805 \tabularnewline
2 & 195008.166666667 & 10060.1235654198 & 29110 \tabularnewline
3 & 204436.666666667 & 11469.2478498995 & 36103 \tabularnewline
4 & 221901 & 12574.2308132726 & 35801 \tabularnewline
5 & 233348.666666667 & 9756.32112421418 & 30700 \tabularnewline
6 & 232927.166666667 & 8846.04918319558 & 27637 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294239&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]208241.5[/C][C]11676.7046915877[/C][C]33805[/C][/ROW]
[ROW][C]2[/C][C]195008.166666667[/C][C]10060.1235654198[/C][C]29110[/C][/ROW]
[ROW][C]3[/C][C]204436.666666667[/C][C]11469.2478498995[/C][C]36103[/C][/ROW]
[ROW][C]4[/C][C]221901[/C][C]12574.2308132726[/C][C]35801[/C][/ROW]
[ROW][C]5[/C][C]233348.666666667[/C][C]9756.32112421418[/C][C]30700[/C][/ROW]
[ROW][C]6[/C][C]232927.166666667[/C][C]8846.04918319558[/C][C]27637[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294239&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
1208241.511676.704691587733805
2195008.16666666710060.123565419829110
3204436.66666666711469.247849899536103
422190112574.230813272635801
5233348.6666666679756.3211242141830700
6232927.1666666678846.0491831955827637






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha17557.5181123685
beta-0.0316101518279812
S.D.0.0412003436714536
T-STAT-0.767230294971614
p-value0.485725056808129

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 17557.5181123685 \tabularnewline
beta & -0.0316101518279812 \tabularnewline
S.D. & 0.0412003436714536 \tabularnewline
T-STAT & -0.767230294971614 \tabularnewline
p-value & 0.485725056808129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294239&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]17557.5181123685[/C][/ROW]
[ROW][C]beta[/C][C]-0.0316101518279812[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0412003436714536[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.767230294971614[/C][/ROW]
[ROW][C]p-value[/C][C]0.485725056808129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294239&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294239&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)
alpha17557.5181123685
beta-0.0316101518279812
S.D.0.0412003436714536
T-STAT-0.767230294971614
p-value0.485725056808129






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha17.3686868416584
beta-0.659168818662612
S.D.0.831329594117046
T-STAT-0.792909122118664
p-value0.472207929505737
Lambda1.65916881866261

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 17.3686868416584 \tabularnewline
beta & -0.659168818662612 \tabularnewline
S.D. & 0.831329594117046 \tabularnewline
T-STAT & -0.792909122118664 \tabularnewline
p-value & 0.472207929505737 \tabularnewline
Lambda & 1.65916881866261 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294239&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]17.3686868416584[/C][/ROW]
[ROW][C]beta[/C][C]-0.659168818662612[/C][/ROW]
[ROW][C]S.D.[/C][C]0.831329594117046[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.792909122118664[/C][/ROW]
[ROW][C]p-value[/C][C]0.472207929505737[/C][/ROW]
[ROW][C]Lambda[/C][C]1.65916881866261[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294239&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294239&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)
alpha17.3686868416584
beta-0.659168818662612
S.D.0.831329594117046
T-STAT-0.792909122118664
p-value0.472207929505737
Lambda1.65916881866261


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')