FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 23 Dec 2008 09:23:37 -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/2008/Dec/23/t123004945796h9wnz4kh4vkct.htm/, Retrieved Fri, 17 May 2024 01:41:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36344, Retrieved Fri, 17 May 2024 01:41:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation Plot] [Opgave 8-2/1 - In...] [2008-12-23 15:28:44] [ad379bf1a8c2f692a4d6e13d12ca6606]
- RM D    [Standard Deviation-Mean Plot] [Opgave 8-3/3 - Co...] [2008-12-23 16:23:37] [c3b8efbffd908bee7ef47d968749a3e1] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
105,6
110,2
104,9
102,9
102,6
103,6
107,8
106,6
106
105,2
107,9
107,5
107,5
113,3
107,8
104,5
105,1
104,2
106,6
103,8
107,7
106,4
110
113,2
113,9
112
113,9
113,1
111,7
110,7
113,5
114
112,7
112,2
115,8
118,4
118,8
123,9
118
120,2
118,7
119,8
124,8
121,3
120,2
118,3
129,6
130,2
127,19
133,1
129,12
123,28
123,36
124,13
126,96
127,14
123,7
123,67
130,19
134,01
124,96
129,96
128,32
132,38
126,25
128,91
131,42
129,44
126,86
126,71
131,63
132,78
126,61
132,84
123,14
128,13
125,49
126,48
130,86
127,32
126,56
126,64
129,26
126,47
135,38
135,5
132,22
122,62
125,16
128,5
133,86
128,87
125,07
125,25
132,16
130,24

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36344&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36344&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36344&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1105.92.254692077343687.60000000000001
2107.5083333333333.217412380196619.5
3113.4916666666672.038028607763057.7
4121.9833333333334.2541601742152112.2
5127.1541666666673.7910959277408610.73
6129.1352.585991984800917.82
7127.4833333333332.538701648600349.7
8129.5691666666674.3672592993637112.88

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 105.9 & 2.25469207734368 & 7.60000000000001 \tabularnewline
2 & 107.508333333333 & 3.21741238019661 & 9.5 \tabularnewline
3 & 113.491666666667 & 2.03802860776305 & 7.7 \tabularnewline
4 & 121.983333333333 & 4.25416017421521 & 12.2 \tabularnewline
5 & 127.154166666667 & 3.79109592774086 & 10.73 \tabularnewline
6 & 129.135 & 2.58599198480091 & 7.82 \tabularnewline
7 & 127.483333333333 & 2.53870164860034 & 9.7 \tabularnewline
8 & 129.569166666667 & 4.36725929936371 & 12.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36344&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]105.9[/C][C]2.25469207734368[/C][C]7.60000000000001[/C][/ROW]
[ROW][C]2[/C][C]107.508333333333[/C][C]3.21741238019661[/C][C]9.5[/C][/ROW]
[ROW][C]3[/C][C]113.491666666667[/C][C]2.03802860776305[/C][C]7.7[/C][/ROW]
[ROW][C]4[/C][C]121.983333333333[/C][C]4.25416017421521[/C][C]12.2[/C][/ROW]
[ROW][C]5[/C][C]127.154166666667[/C][C]3.79109592774086[/C][C]10.73[/C][/ROW]
[ROW][C]6[/C][C]129.135[/C][C]2.58599198480091[/C][C]7.82[/C][/ROW]
[ROW][C]7[/C][C]127.483333333333[/C][C]2.53870164860034[/C][C]9.7[/C][/ROW]
[ROW][C]8[/C][C]129.569166666667[/C][C]4.36725929936371[/C][C]12.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36344&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36344&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
1105.92.254692077343687.60000000000001
2107.5083333333333.217412380196619.5
3113.4916666666672.038028607763057.7
4121.9833333333334.2541601742152112.2
5127.1541666666673.7910959277408610.73
6129.1352.585991984800917.82
7127.4833333333332.538701648600349.7
8129.5691666666674.3672592993637112.88






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1.75950788314451
beta0.0406593106240021
S.D.0.0339257118451966
T-STAT1.1984806924474
p-value0.275915399203222

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1.75950788314451 \tabularnewline
beta & 0.0406593106240021 \tabularnewline
S.D. & 0.0339257118451966 \tabularnewline
T-STAT & 1.1984806924474 \tabularnewline
p-value & 0.275915399203222 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36344&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.75950788314451[/C][/ROW]
[ROW][C]beta[/C][C]0.0406593106240021[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0339257118451966[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.1984806924474[/C][/ROW]
[ROW][C]p-value[/C][C]0.275915399203222[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36344&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36344&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-1.75950788314451
beta0.0406593106240021
S.D.0.0339257118451966
T-STAT1.1984806924474
p-value0.275915399203222






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.33310387869194
beta1.55362831776665
S.D.1.27873834888055
T-STAT1.21496967626469
p-value0.270015509192688
Lambda-0.553628317766647

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.33310387869194 \tabularnewline
beta & 1.55362831776665 \tabularnewline
S.D. & 1.27873834888055 \tabularnewline
T-STAT & 1.21496967626469 \tabularnewline
p-value & 0.270015509192688 \tabularnewline
Lambda & -0.553628317766647 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36344&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.33310387869194[/C][/ROW]
[ROW][C]beta[/C][C]1.55362831776665[/C][/ROW]
[ROW][C]S.D.[/C][C]1.27873834888055[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.21496967626469[/C][/ROW]
[ROW][C]p-value[/C][C]0.270015509192688[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.553628317766647[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36344&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36344&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-6.33310387869194
beta1.55362831776665
S.D.1.27873834888055
T-STAT1.21496967626469
p-value0.270015509192688
Lambda-0.553628317766647


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')