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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 computationMon, 17 Dec 2007 09:16:38 -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/2007/Dec/17/t1197907217rmal8s5k4igaqne.htm/, Retrieved Fri, 03 May 2024 16:32:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4389, Retrieved Fri, 03 May 2024 16:32:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160

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] [diesel standard d...] [2007-12-17 16:16:38] [d02236afd58a58d13a748bbf41a37c2e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
36429
32720
34490
34749
30945
34302
30400
25543
32188
34395
27148
26634
34257
34794
38927
38512
33325
40658
32719
29323
34384
35153
30937
28079
39703
35245
41324
40802
37732
41527
33441
32885
36804
35593
34355
27045
45587
40370
48209
40275
36760
42588
35365
33014
36944
35649
34814
26041
45636
40040
47725
40263
43339
47283
40492
35768
28539
42971
36144
26950

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4389&T=0

[TABLE]
[ROW][C]Summary of compuational 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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4389&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4389&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
131661.91666666673583.957245542812172
234255.66666666673799.073172458907938
336371.33333333334237.721586232897037
4379685929.6471303871913460
539595.83333333336723.4067235068416780

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 31661.9166666667 & 3583.95724554281 & 2172 \tabularnewline
2 & 34255.6666666667 & 3799.07317245890 & 7938 \tabularnewline
3 & 36371.3333333333 & 4237.72158623289 & 7037 \tabularnewline
4 & 37968 & 5929.64713038719 & 13460 \tabularnewline
5 & 39595.8333333333 & 6723.40672350684 & 16780 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4389&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]31661.9166666667[/C][C]3583.95724554281[/C][C]2172[/C][/ROW]
[ROW][C]2[/C][C]34255.6666666667[/C][C]3799.07317245890[/C][C]7938[/C][/ROW]
[ROW][C]3[/C][C]36371.3333333333[/C][C]4237.72158623289[/C][C]7037[/C][/ROW]
[ROW][C]4[/C][C]37968[/C][C]5929.64713038719[/C][C]13460[/C][/ROW]
[ROW][C]5[/C][C]39595.8333333333[/C][C]6723.40672350684[/C][C]16780[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4389&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4389&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
131661.91666666673583.957245542812172
234255.66666666673799.073172458907938
336371.33333333334237.721586232897037
4379685929.6471303871913460
539595.83333333336723.4067235068416780






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-9941.95393144745
beta0.411356376343236
S.D.0.101204764741487
T-STAT4.06459495651206
p-value0.0268561500159055

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -9941.95393144745 \tabularnewline
beta & 0.411356376343236 \tabularnewline
S.D. & 0.101204764741487 \tabularnewline
T-STAT & 4.06459495651206 \tabularnewline
p-value & 0.0268561500159055 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4389&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9941.95393144745[/C][/ROW]
[ROW][C]beta[/C][C]0.411356376343236[/C][/ROW]
[ROW][C]S.D.[/C][C]0.101204764741487[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.06459495651206[/C][/ROW]
[ROW][C]p-value[/C][C]0.0268561500159055[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4389&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4389&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)
alpha-9941.95393144745
beta0.411356376343236
S.D.0.101204764741487
T-STAT4.06459495651206
p-value0.0268561500159055






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-22.3745182066251
beta2.93976014197228
S.D.0.695473145220963
T-STAT4.22699303657263
p-value0.0242174399556508
Lambda-1.93976014197228

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -22.3745182066251 \tabularnewline
beta & 2.93976014197228 \tabularnewline
S.D. & 0.695473145220963 \tabularnewline
T-STAT & 4.22699303657263 \tabularnewline
p-value & 0.0242174399556508 \tabularnewline
Lambda & -1.93976014197228 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4389&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-22.3745182066251[/C][/ROW]
[ROW][C]beta[/C][C]2.93976014197228[/C][/ROW]
[ROW][C]S.D.[/C][C]0.695473145220963[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.22699303657263[/C][/ROW]
[ROW][C]p-value[/C][C]0.0242174399556508[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.93976014197228[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4389&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4389&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)
alpha-22.3745182066251
beta2.93976014197228
S.D.0.695473145220963
T-STAT4.22699303657263
p-value0.0242174399556508
Lambda-1.93976014197228


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')