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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 computationFri, 18 Mar 2016 14:14:56 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Mar/18/t1458310508cd3g2imodzvjacw.htm/, Retrieved Thu, 02 May 2024 03:47:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294264, Retrieved Thu, 02 May 2024 03:47:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108

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] [] [2016-03-18 14:14:56] [4661a511bc27dc3517a7b8e15be46886] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
17887
17118
15945
15085
14027
15158
23783
25166
21839
18522
16850
16679
17806
17542
16380
15434
14478
15506
22357
27204
24182
20760
18731
18377
18775
18943
17974
17192
1604
17101
25972
28139
26131
22600
20320
19662
20440
19694
18260
16832
15539
16676
25216
26994
24865
21793
19505
18696
19221
18742
17633
16379
15007
15762
24146
25720
23731
20542
18807
18459

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294264&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294264&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294264&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
118171.58333333333566.1532230971311139
219063.08333333333869.7803662912612726
319534.41666666676777.617756038626535
420375.83333333333662.5469983539511455
519512.41666666673422.6697303907910713

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 18171.5833333333 & 3566.15322309713 & 11139 \tabularnewline
2 & 19063.0833333333 & 3869.78036629126 & 12726 \tabularnewline
3 & 19534.4166666667 & 6777.6177560386 & 26535 \tabularnewline
4 & 20375.8333333333 & 3662.54699835395 & 11455 \tabularnewline
5 & 19512.4166666667 & 3422.66973039079 & 10713 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294264&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]18171.5833333333[/C][C]3566.15322309713[/C][C]11139[/C][/ROW]
[ROW][C]2[/C][C]19063.0833333333[/C][C]3869.78036629126[/C][C]12726[/C][/ROW]
[ROW][C]3[/C][C]19534.4166666667[/C][C]6777.6177560386[/C][C]26535[/C][/ROW]
[ROW][C]4[/C][C]20375.8333333333[/C][C]3662.54699835395[/C][C]11455[/C][/ROW]
[ROW][C]5[/C][C]19512.4166666667[/C][C]3422.66973039079[/C][C]10713[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294264&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294264&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
118171.58333333333566.1532230971311139
219063.08333333333869.7803662912612726
319534.41666666676777.617756038626535
420375.83333333333662.5469983539511455
519512.41666666673422.6697303907910713






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-569.274411014552
beta0.249801430440641
S.D.1.00791284800905
T-STAT0.247840307754861
p-value0.820253220418531

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -569.274411014552 \tabularnewline
beta & 0.249801430440641 \tabularnewline
S.D. & 1.00791284800905 \tabularnewline
T-STAT & 0.247840307754861 \tabularnewline
p-value & 0.820253220418531 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294264&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-569.274411014552[/C][/ROW]
[ROW][C]beta[/C][C]0.249801430440641[/C][/ROW]
[ROW][C]S.D.[/C][C]1.00791284800905[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.247840307754861[/C][/ROW]
[ROW][C]p-value[/C][C]0.820253220418531[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294264&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294264&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-569.274411014552
beta0.249801430440641
S.D.1.00791284800905
T-STAT0.247840307754861
p-value0.820253220418531






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.67844230254789
beta1.01325209592103
S.D.3.86815669205309
T-STAT0.261947014194822
p-value0.810318381015804
Lambda-0.0132520959210256

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.67844230254789 \tabularnewline
beta & 1.01325209592103 \tabularnewline
S.D. & 3.86815669205309 \tabularnewline
T-STAT & 0.261947014194822 \tabularnewline
p-value & 0.810318381015804 \tabularnewline
Lambda & -0.0132520959210256 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294264&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.67844230254789[/C][/ROW]
[ROW][C]beta[/C][C]1.01325209592103[/C][/ROW]
[ROW][C]S.D.[/C][C]3.86815669205309[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.261947014194822[/C][/ROW]
[ROW][C]p-value[/C][C]0.810318381015804[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0132520959210256[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294264&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294264&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-1.67844230254789
beta1.01325209592103
S.D.3.86815669205309
T-STAT0.261947014194822
p-value0.810318381015804
Lambda-0.0132520959210256


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')