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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 computationFri, 04 Dec 2009 05:49:51 -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/2009/Dec/04/t1259931030ncgso6qf24vki6c.htm/, Retrieved Sat, 27 Apr 2024 15:53:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63435, Retrieved Sat, 27 Apr 2024 15:53:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWorkshop 9 - Regressimodel
Estimated Impact156

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D    [Standard Deviation-Mean Plot] [BBWS9-Regressieta...] [2009-12-01 20:06:37] [408e92805dcb18620260f240a7fb9d53]
-    D        [Standard Deviation-Mean Plot] [shw-ws9] [2009-12-04 12:49:51] [5b5bced41faf164488f2c271c918b21f] [Current]
-    D          [Standard Deviation-Mean Plot] [ws 9 regressie model] [2009-12-04 18:48:55] [134dc66689e3d457a82860db6471d419]
- R PD            [Standard Deviation-Mean Plot] [ws9 lambda] [2009-12-04 20:23:06] [95cead3ebb75668735f848316249436a]
-   PD              [Standard Deviation-Mean Plot] [paper st dev-mean...] [2009-12-13 13:39:01] [95cead3ebb75668735f848316249436a]
-   PD                [Standard Deviation-Mean Plot] [st dev mean plot 2] [2009-12-13 17:54:01] [95cead3ebb75668735f848316249436a]
-    D            [Standard Deviation-Mean Plot] [sdmp icp] [2009-12-10 18:34:21] [134dc66689e3d457a82860db6471d419]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1178
2141
2238
2685
4341
5376
4478
6404
4617
3024
1897
2075
1351
2211
2453
3042
4765
4992
4601
6266
4812
3159
1916
2237
1595
2453
2226
3597
4706
4974
5756
5493
5004
3225
2006
2291
1588
2105
2191
3591
4668
4885
5822
5599
5340
3082
2010
2301
1514
1979
2480
3499
4676
5585
5610
5796
6199
3030
1930
2552

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63435&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63435&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63435&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13371.166666666671623.327493611555226
23483.751543.715183633894915
33610.51505.482435512414161
43598.51581.284374401794234
53737.51730.585423806324685

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3371.16666666667 & 1623.32749361155 & 5226 \tabularnewline
2 & 3483.75 & 1543.71518363389 & 4915 \tabularnewline
3 & 3610.5 & 1505.48243551241 & 4161 \tabularnewline
4 & 3598.5 & 1581.28437440179 & 4234 \tabularnewline
5 & 3737.5 & 1730.58542380632 & 4685 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63435&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]3371.16666666667[/C][C]1623.32749361155[/C][C]5226[/C][/ROW]
[ROW][C]2[/C][C]3483.75[/C][C]1543.71518363389[/C][C]4915[/C][/ROW]
[ROW][C]3[/C][C]3610.5[/C][C]1505.48243551241[/C][C]4161[/C][/ROW]
[ROW][C]4[/C][C]3598.5[/C][C]1581.28437440179[/C][C]4234[/C][/ROW]
[ROW][C]5[/C][C]3737.5[/C][C]1730.58542380632[/C][C]4685[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63435&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63435&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
13371.166666666671623.327493611555226
23483.751543.715183633894915
33610.51505.482435512414161
43598.51581.284374401794234
53737.51730.585423806324685






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha784.303405443236
beta0.228233401859390
S.D.0.335392852107078
T-STAT0.680495724418491
p-value0.545004027089161

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 784.303405443236 \tabularnewline
beta & 0.228233401859390 \tabularnewline
S.D. & 0.335392852107078 \tabularnewline
T-STAT & 0.680495724418491 \tabularnewline
p-value & 0.545004027089161 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63435&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]784.303405443236[/C][/ROW]
[ROW][C]beta[/C][C]0.228233401859390[/C][/ROW]
[ROW][C]S.D.[/C][C]0.335392852107078[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.680495724418491[/C][/ROW]
[ROW][C]p-value[/C][C]0.545004027089161[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63435&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63435&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)
alpha784.303405443236
beta0.228233401859390
S.D.0.335392852107078
T-STAT0.680495724418491
p-value0.545004027089161






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.61794105175050
beta0.459424880346849
S.D.0.743694539671412
T-STAT0.617760190292425
p-value0.580459599418708
Lambda0.540575119653151

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.61794105175050 \tabularnewline
beta & 0.459424880346849 \tabularnewline
S.D. & 0.743694539671412 \tabularnewline
T-STAT & 0.617760190292425 \tabularnewline
p-value & 0.580459599418708 \tabularnewline
Lambda & 0.540575119653151 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63435&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.61794105175050[/C][/ROW]
[ROW][C]beta[/C][C]0.459424880346849[/C][/ROW]
[ROW][C]S.D.[/C][C]0.743694539671412[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.617760190292425[/C][/ROW]
[ROW][C]p-value[/C][C]0.580459599418708[/C][/ROW]
[ROW][C]Lambda[/C][C]0.540575119653151[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63435&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63435&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)
alpha3.61794105175050
beta0.459424880346849
S.D.0.743694539671412
T-STAT0.617760190292425
p-value0.580459599418708
Lambda0.540575119653151


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')