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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 14 Dec 2008 08:41:27 -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/2008/Dec/14/t122926933096mrrfg1t0301q2.htm/, Retrieved Wed, 15 May 2024 00:06:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33430, Retrieved Wed, 15 May 2024 00:06:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact219

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Mean Plot] [Mean plot vervaar...] [2007-11-09 12:25:12] [74be16979710d4c4e7c6647856088456]
- R  D  [Mean Plot] [Mean plot Vlaams ...] [2008-12-13 21:24:44] [005293453b571dbccb80b45226e44173]
- RM      [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:35:50] [005293453b571dbccb80b45226e44173]
-    D        [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:41:27] [b0654df83a8a0e1de3ceb7bf60f0d58f] [Current]
-    D          [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:44:31] [005293453b571dbccb80b45226e44173]
-    D            [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:48:16] [005293453b571dbccb80b45226e44173]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
258778
252791
256389
258961
258647
256304
250498
247883
249552
262626
264416
273049
272441
267564
265952
263937
264765
263386
258985
257334
257477
271486
274488
281274
272674
269704
268227
276444
272247
268516
263406
263619
265905
281681
287413
289423
281242
273878
269022
272630
270287
260447
262248
252806
238663
258438
266719
263279
258064
248828
248284
253376
251846
239494
239709
228793
229521
249999
254016
251178

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33430&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33430&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1257491.1666666677074.188843102725166
2266590.757291.0279250970823940
3273271.5833333338783.2330603499426017
4264138.2511101.461853983742579
5246092.3333333339552.8961370916529271

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 257491.166666667 & 7074.1888431027 & 25166 \tabularnewline
2 & 266590.75 & 7291.02792509708 & 23940 \tabularnewline
3 & 273271.583333333 & 8783.23306034994 & 26017 \tabularnewline
4 & 264138.25 & 11101.4618539837 & 42579 \tabularnewline
5 & 246092.333333333 & 9552.89613709165 & 29271 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33430&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]257491.166666667[/C][C]7074.1888431027[/C][C]25166[/C][/ROW]
[ROW][C]2[/C][C]266590.75[/C][C]7291.02792509708[/C][C]23940[/C][/ROW]
[ROW][C]3[/C][C]273271.583333333[/C][C]8783.23306034994[/C][C]26017[/C][/ROW]
[ROW][C]4[/C][C]264138.25[/C][C]11101.4618539837[/C][C]42579[/C][/ROW]
[ROW][C]5[/C][C]246092.333333333[/C][C]9552.89613709165[/C][C]29271[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33430&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
1257491.1666666677074.188843102725166
2266590.757291.0279250970823940
3273271.5833333338783.2330603499426017
4264138.2511101.461853983742579
5246092.3333333339552.8961370916529271






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12752.3880671283
beta-0.0152641292980075
S.D.0.0929464892185172
T-STAT-0.16422491507045
p-value0.879995133596802

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12752.3880671283 \tabularnewline
beta & -0.0152641292980075 \tabularnewline
S.D. & 0.0929464892185172 \tabularnewline
T-STAT & -0.16422491507045 \tabularnewline
p-value & 0.879995133596802 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33430&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12752.3880671283[/C][/ROW]
[ROW][C]beta[/C][C]-0.0152641292980075[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0929464892185172[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.16422491507045[/C][/ROW]
[ROW][C]p-value[/C][C]0.879995133596802[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33430&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)
alpha12752.3880671283
beta-0.0152641292980075
S.D.0.0929464892185172
T-STAT-0.16422491507045
p-value0.879995133596802






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha15.0571620272215
beta-0.48048858422057
S.D.2.71900494488027
T-STAT-0.176714862223881
p-value0.870989104591785
Lambda1.48048858422057

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 15.0571620272215 \tabularnewline
beta & -0.48048858422057 \tabularnewline
S.D. & 2.71900494488027 \tabularnewline
T-STAT & -0.176714862223881 \tabularnewline
p-value & 0.870989104591785 \tabularnewline
Lambda & 1.48048858422057 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33430&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]15.0571620272215[/C][/ROW]
[ROW][C]beta[/C][C]-0.48048858422057[/C][/ROW]
[ROW][C]S.D.[/C][C]2.71900494488027[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.176714862223881[/C][/ROW]
[ROW][C]p-value[/C][C]0.870989104591785[/C][/ROW]
[ROW][C]Lambda[/C][C]1.48048858422057[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33430&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)
alpha15.0571620272215
beta-0.48048858422057
S.D.2.71900494488027
T-STAT-0.176714862223881
p-value0.870989104591785
Lambda1.48048858422057


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')