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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, 20 May 2015 12:17:08 +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/May/20/t1432120638qrgs9cdhy3xww23.htm/, Retrieved Mon, 29 Apr 2024 05:15:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279159, Retrieved Mon, 29 Apr 2024 05:15:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

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] [] [2015-05-20 11:17:08] [48df267a82852137cd18322add6deebf] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5119676
4737614
5425255
5195396
5779583
6298652
6175944
6217653
6086619
5060250
3950207
3096398
3287215
2970037
3436547
3339099
3661160
3675026
3917675
3942501
3848079
3993974
3977059
4406890
4827736
4507189
5249062
5009908
5195771
5079423
5531062
5109363
4773753
5347125
5379543
6114549
6346091
5900935
7265533
6115096
7062343
7027841
6644644
7359822
7192534
7065705
7788175
6934803
7492202
8478866
8748316
8382956
8414863
7501787
8031203
9198243
8500998
9260617
9494903
8791918
8568871
8570003
8066695
7800532
8136832
7713840
7986953
7479868
7917564
8055845
7490221
7648110

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279159&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279159&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279159&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'Sir Maurice George Kendall' @ kendall.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
15261937.25979274.4677944093202254
23704605.16666667392632.6774345511436853
35177040.33333333410667.4726555941607360
46891960.16666667545752.2704517521887240
58524739.33333333635945.8170465232002701
67952944.5360695.8328583291090135

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5261937.25 & 979274.467794409 & 3202254 \tabularnewline
2 & 3704605.16666667 & 392632.677434551 & 1436853 \tabularnewline
3 & 5177040.33333333 & 410667.472655594 & 1607360 \tabularnewline
4 & 6891960.16666667 & 545752.270451752 & 1887240 \tabularnewline
5 & 8524739.33333333 & 635945.817046523 & 2002701 \tabularnewline
6 & 7952944.5 & 360695.832858329 & 1090135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279159&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]5261937.25[/C][C]979274.467794409[/C][C]3202254[/C][/ROW]
[ROW][C]2[/C][C]3704605.16666667[/C][C]392632.677434551[/C][C]1436853[/C][/ROW]
[ROW][C]3[/C][C]5177040.33333333[/C][C]410667.472655594[/C][C]1607360[/C][/ROW]
[ROW][C]4[/C][C]6891960.16666667[/C][C]545752.270451752[/C][C]1887240[/C][/ROW]
[ROW][C]5[/C][C]8524739.33333333[/C][C]635945.817046523[/C][C]2002701[/C][/ROW]
[ROW][C]6[/C][C]7952944.5[/C][C]360695.832858329[/C][C]1090135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279159&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279159&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
15261937.25979274.4677944093202254
23704605.16666667392632.6774345511436853
35177040.33333333410667.4726555941607360
46891960.16666667545752.2704517521887240
58524739.33333333635945.8170465232002701
67952944.5360695.8328583291090135






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha555530.161273021
beta-0.000218920900931696
S.D.0.0630256249206478
T-STAT-0.00347352209846912
p-value0.997394864974452

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 555530.161273021 \tabularnewline
beta & -0.000218920900931696 \tabularnewline
S.D. & 0.0630256249206478 \tabularnewline
T-STAT & -0.00347352209846912 \tabularnewline
p-value & 0.997394864974452 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279159&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]555530.161273021[/C][/ROW]
[ROW][C]beta[/C][C]-0.000218920900931696[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0630256249206478[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.00347352209846912[/C][/ROW]
[ROW][C]p-value[/C][C]0.997394864974452[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279159&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279159&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)
alpha555530.161273021
beta-0.000218920900931696
S.D.0.0630256249206478
T-STAT-0.00347352209846912
p-value0.997394864974452






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha11.2152285982235
beta0.124692096701311
S.D.0.597358761118857
T-STAT0.208739043967083
p-value0.844850771390965
Lambda0.875307903298689

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 11.2152285982235 \tabularnewline
beta & 0.124692096701311 \tabularnewline
S.D. & 0.597358761118857 \tabularnewline
T-STAT & 0.208739043967083 \tabularnewline
p-value & 0.844850771390965 \tabularnewline
Lambda & 0.875307903298689 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279159&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.2152285982235[/C][/ROW]
[ROW][C]beta[/C][C]0.124692096701311[/C][/ROW]
[ROW][C]S.D.[/C][C]0.597358761118857[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.208739043967083[/C][/ROW]
[ROW][C]p-value[/C][C]0.844850771390965[/C][/ROW]
[ROW][C]Lambda[/C][C]0.875307903298689[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279159&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279159&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)
alpha11.2152285982235
beta0.124692096701311
S.D.0.597358761118857
T-STAT0.208739043967083
p-value0.844850771390965
Lambda0.875307903298689


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')