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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, 13 Dec 2009 10:54:01 -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/13/t12607268812lvltr5m5o58j4x.htm/, Retrieved Sun, 28 Apr 2024 18:51:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67380, Retrieved Sun, 28 Apr 2024 18:51:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123

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] [2663058f2a5dda519058ac6b2228468f]
-    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] [95523ebdb89b97dbf680ec91e0b4bca2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2350.44
2440.25
2408.64
2472.81
2407.6
2454.62
2448.05
2497.84
2645.64
2756.76
2849.27
2921.44
2981.85
3080.58
3106.22
3119.31
3061.26
3097.31
3161.69
3257.16
3277.01
3295.32
3363.99
3494.17
3667.03
3813.06
3917.96
3895.51
3801.06
3570.12
3701.61
3862.27
3970.1
4138.52
4199.75
4290.89
4443.91
4502.64
4356.98
4591.27
4696.96
4621.4
4562.84
4202.52
4296.49
4435.23
4105.18
4116.68
3844.49
3720.98
3674.4
3857.62
3801.06
3504.37
3032.6
3047.03
2962.34
2197.82
2014.45
1862.83
1905.41
1810.99
1670.07
1864.44
2052.02
2029.6
2070.83
2293.41
2443.27
2513.17

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=67380&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=67380&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67380&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
12554.44666666667190.570772791696571
23191.3225147.471609663753512.32
33902.32333333333218.664223632879720.77
44411.00833333333198.014401580626591.78
53126.66583333333740.9765292376411994.79

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2554.44666666667 & 190.570772791696 & 571 \tabularnewline
2 & 3191.3225 & 147.471609663753 & 512.32 \tabularnewline
3 & 3902.32333333333 & 218.664223632879 & 720.77 \tabularnewline
4 & 4411.00833333333 & 198.014401580626 & 591.78 \tabularnewline
5 & 3126.66583333333 & 740.976529237641 & 1994.79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67380&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]2554.44666666667[/C][C]190.570772791696[/C][C]571[/C][/ROW]
[ROW][C]2[/C][C]3191.3225[/C][C]147.471609663753[/C][C]512.32[/C][/ROW]
[ROW][C]3[/C][C]3902.32333333333[/C][C]218.664223632879[/C][C]720.77[/C][/ROW]
[ROW][C]4[/C][C]4411.00833333333[/C][C]198.014401580626[/C][C]591.78[/C][/ROW]
[ROW][C]5[/C][C]3126.66583333333[/C][C]740.976529237641[/C][C]1994.79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67380&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67380&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
12554.44666666667190.570772791696571
23191.3225147.471609663753512.32
33902.32333333333218.664223632879720.77
44411.00833333333198.014401580626591.78
53126.66583333333740.9765292376411994.79






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha528.167807590999
beta-0.066633134457103
S.D.0.194077765595226
T-STAT-0.343332139324373
p-value0.754000596610553

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 528.167807590999 \tabularnewline
beta & -0.066633134457103 \tabularnewline
S.D. & 0.194077765595226 \tabularnewline
T-STAT & -0.343332139324373 \tabularnewline
p-value & 0.754000596610553 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67380&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]528.167807590999[/C][/ROW]
[ROW][C]beta[/C][C]-0.066633134457103[/C][/ROW]
[ROW][C]S.D.[/C][C]0.194077765595226[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.343332139324373[/C][/ROW]
[ROW][C]p-value[/C][C]0.754000596610553[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67380&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67380&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)
alpha528.167807590999
beta-0.066633134457103
S.D.0.194077765595226
T-STAT-0.343332139324373
p-value0.754000596610553






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha8.21099963110758
beta-0.333003372727766
S.D.1.71592942613294
T-STAT-0.194065890855564
p-value0.858521771041056
Lambda1.33300337272777

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.21099963110758 \tabularnewline
beta & -0.333003372727766 \tabularnewline
S.D. & 1.71592942613294 \tabularnewline
T-STAT & -0.194065890855564 \tabularnewline
p-value & 0.858521771041056 \tabularnewline
Lambda & 1.33300337272777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67380&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.21099963110758[/C][/ROW]
[ROW][C]beta[/C][C]-0.333003372727766[/C][/ROW]
[ROW][C]S.D.[/C][C]1.71592942613294[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.194065890855564[/C][/ROW]
[ROW][C]p-value[/C][C]0.858521771041056[/C][/ROW]
[ROW][C]Lambda[/C][C]1.33300337272777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67380&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67380&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)
alpha8.21099963110758
beta-0.333003372727766
S.D.1.71592942613294
T-STAT-0.194065890855564
p-value0.858521771041056
Lambda1.33300337272777


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
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')