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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 computationSat, 01 Dec 2007 04:19:56 -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/01/t1196507442rip52t5o3j2dr1n.htm/, Retrieved Sun, 19 May 2024 21:18:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2207, Retrieved Sun, 19 May 2024 21:18:19 +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)
-       [Standard Deviation-Mean Plot] [standard deviatio...] [2007-12-01 11:19:56] [bd02e85be52eb1cb060a2c60779eb820] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
27
-36
23
23
23
0
0
36
0
-22
-22
-50
0
0
-23
0
-23
-23
-23
-23
-23
0
-36
23
-13
23
0
59
23
0
0
0
0
0
36
36
-36
0
0
-36
0
-36
-36
-35
-34
-26
-59
-28
0
0
0
0
0
0
0
0
0
0
-42
-43
-45
-33
-34
-36
0
0
0
-40
0
-15
25
-15
-15
0
-62
-25
0
0
0
0
0
-22
-22
-22
0
0
-26
-27
-27
-30
-27
-39
-40
7
5
3
-10
-45
-34
-35
-36
-37
-38
-42
-42
-42
-44
-74

Tables (Output of Computation)





Summary of compuational 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 compuational 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=2207&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]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=2207&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2207&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.16666666666666727.593916764827881
2-12.583333333333316.784507647521268
313.666666666666721.4447846312055121
4-27.166666666666718.215045396261836
5-7.0833333333333316.544476328058836
6-16.083333333333321.610007502137262
7-1418.571728269310138
8-16.7518.091308812395449
9-39.916666666666714.138653229764032

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.166666666666667 & 27.5939167648278 & 81 \tabularnewline
2 & -12.5833333333333 & 16.7845076475212 & 68 \tabularnewline
3 & 13.6666666666667 & 21.4447846312055 & 121 \tabularnewline
4 & -27.1666666666667 & 18.2150453962618 & 36 \tabularnewline
5 & -7.08333333333333 & 16.5444763280588 & 36 \tabularnewline
6 & -16.0833333333333 & 21.6100075021372 & 62 \tabularnewline
7 & -14 & 18.5717282693101 & 38 \tabularnewline
8 & -16.75 & 18.0913088123954 & 49 \tabularnewline
9 & -39.9166666666667 & 14.1386532297640 & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2207&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]0.166666666666667[/C][C]27.5939167648278[/C][C]81[/C][/ROW]
[ROW][C]2[/C][C]-12.5833333333333[/C][C]16.7845076475212[/C][C]68[/C][/ROW]
[ROW][C]3[/C][C]13.6666666666667[/C][C]21.4447846312055[/C][C]121[/C][/ROW]
[ROW][C]4[/C][C]-27.1666666666667[/C][C]18.2150453962618[/C][C]36[/C][/ROW]
[ROW][C]5[/C][C]-7.08333333333333[/C][C]16.5444763280588[/C][C]36[/C][/ROW]
[ROW][C]6[/C][C]-16.0833333333333[/C][C]21.6100075021372[/C][C]62[/C][/ROW]
[ROW][C]7[/C][C]-14[/C][C]18.5717282693101[/C][C]38[/C][/ROW]
[ROW][C]8[/C][C]-16.75[/C][C]18.0913088123954[/C][C]49[/C][/ROW]
[ROW][C]9[/C][C]-39.9166666666667[/C][C]14.1386532297640[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2207&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2207&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
10.16666666666666727.593916764827881
2-12.583333333333316.784507647521268
313.666666666666721.4447846312055121
4-27.166666666666718.215045396261836
5-7.0833333333333316.544476328058836
6-16.083333333333321.610007502137262
7-1418.571728269310138
8-16.7518.091308812395449
9-39.916666666666714.138653229764032






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha21.366810592524
beta0.161226444686716
S.D.0.0751279068439315
T-STAT2.14602604357983
p-value0.069017435750223

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 21.366810592524 \tabularnewline
beta & 0.161226444686716 \tabularnewline
S.D. & 0.0751279068439315 \tabularnewline
T-STAT & 2.14602604357983 \tabularnewline
p-value & 0.069017435750223 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2207&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.366810592524[/C][/ROW]
[ROW][C]beta[/C][C]0.161226444686716[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0751279068439315[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.14602604357983[/C][/ROW]
[ROW][C]p-value[/C][C]0.069017435750223[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2207&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2207&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)
alpha21.366810592524
beta0.161226444686716
S.D.0.0751279068439315
T-STAT2.14602604357983
p-value0.069017435750223






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.21508656285639
beta-0.0572112385967786
S.D.NaN
T-STATNaN
p-valueNaN
Lambda1.05721123859678

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.21508656285639 \tabularnewline
beta & -0.0572112385967786 \tabularnewline
S.D. & NaN \tabularnewline
T-STAT & NaN \tabularnewline
p-value & NaN \tabularnewline
Lambda & 1.05721123859678 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2207&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.21508656285639[/C][/ROW]
[ROW][C]beta[/C][C]-0.0572112385967786[/C][/ROW]
[ROW][C]S.D.[/C][C]NaN[/C][/ROW]
[ROW][C]T-STAT[/C][C]NaN[/C][/ROW]
[ROW][C]p-value[/C][C]NaN[/C][/ROW]
[ROW][C]Lambda[/C][C]1.05721123859678[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2207&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2207&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)
alpha3.21508656285639
beta-0.0572112385967786
S.D.NaN
T-STATNaN
p-valueNaN
Lambda1.05721123859678


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')