Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 28 Nov 2007 12:14:01 -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/2007/Nov/28/t1196276716jy12tklaf3ej1un.htm/, Retrieved Thu, 02 May 2024 00:49:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7236, Retrieved Thu, 02 May 2024 00:49:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact183
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [sociale huur woning] [2007-11-28 19:14:01] [89d26cd0a44959d9c8b169f34617598a] [Current]
Feedback Forum

Post a new message
Dataseries X:
113,31
113,15
113,34
113,42
113,5
113,4
115,26
116,8
117,28
117,64
118,19
118,64
118,6
118,82
118,92
118,7
118,7
118,68
119,76
122,78
122,91
123,31
123,22
123,24
123,34
123,11
123,3
123,17
123,09
123,06
124,46
125,51
126,27
126,94
127,03
127,11
127,25
127,51
128,67
128,91
128,99
129,04
104,71
105,35
106,31
106,26
106,97
107,04
106,98
107,05
107,33
107,3
107,28
107,58
109,03
110,43
111,01
111,01
110,76
111,13
111,07






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=7236&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=7236&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7236&T=0

As an alternative you can also use a 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
1115.32752.2147198673667711.66
2120.6366666666672.1919950785169216.26
3124.6991666666671.7423466847034119.78
4117.25083333333311.668602361063021.74
5108.90751.813946601399083.84999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 115.3275 & 2.21471986736677 & 11.66 \tabularnewline
2 & 120.636666666667 & 2.19199507851692 & 16.26 \tabularnewline
3 & 124.699166666667 & 1.74234668470341 & 19.78 \tabularnewline
4 & 117.250833333333 & 11.6686023610630 & 21.74 \tabularnewline
5 & 108.9075 & 1.81394660139908 & 3.84999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7236&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]115.3275[/C][C]2.21471986736677[/C][C]11.66[/C][/ROW]
[ROW][C]2[/C][C]120.636666666667[/C][C]2.19199507851692[/C][C]16.26[/C][/ROW]
[ROW][C]3[/C][C]124.699166666667[/C][C]1.74234668470341[/C][C]19.78[/C][/ROW]
[ROW][C]4[/C][C]117.250833333333[/C][C]11.6686023610630[/C][C]21.74[/C][/ROW]
[ROW][C]5[/C][C]108.9075[/C][C]1.81394660139908[/C][C]3.84999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7236&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7236&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1115.32752.2147198673667711.66
2120.6366666666672.1919950785169216.26
3124.6991666666671.7423466847034119.78
4117.25083333333311.668602361063021.74
5108.90751.813946601399083.84999999999999







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.95011515800007
beta-0.00872320414825254
S.D.0.422580265508082
T-STAT-0.0206427153851218
p-value0.984826869456709

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.95011515800007 \tabularnewline
beta & -0.00872320414825254 \tabularnewline
S.D. & 0.422580265508082 \tabularnewline
T-STAT & -0.0206427153851218 \tabularnewline
p-value & 0.984826869456709 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7236&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.95011515800007[/C][/ROW]
[ROW][C]beta[/C][C]-0.00872320414825254[/C][/ROW]
[ROW][C]S.D.[/C][C]0.422580265508082[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0206427153851218[/C][/ROW]
[ROW][C]p-value[/C][C]0.984826869456709[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7236&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7236&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.95011515800007
beta-0.00872320414825254
S.D.0.422580265508082
T-STAT-0.0206427153851218
p-value0.984826869456709







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.15760584555840
beta-0.0252065284277083
S.D.9.09989652694227
T-STAT-0.00276997967538188
p-value0.997963777025537
Lambda1.02520652842771

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.15760584555840 \tabularnewline
beta & -0.0252065284277083 \tabularnewline
S.D. & 9.09989652694227 \tabularnewline
T-STAT & -0.00276997967538188 \tabularnewline
p-value & 0.997963777025537 \tabularnewline
Lambda & 1.02520652842771 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7236&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.15760584555840[/C][/ROW]
[ROW][C]beta[/C][C]-0.0252065284277083[/C][/ROW]
[ROW][C]S.D.[/C][C]9.09989652694227[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.00276997967538188[/C][/ROW]
[ROW][C]p-value[/C][C]0.997963777025537[/C][/ROW]
[ROW][C]Lambda[/C][C]1.02520652842771[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7236&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7236&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.15760584555840
beta-0.0252065284277083
S.D.9.09989652694227
T-STAT-0.00276997967538188
p-value0.997963777025537
Lambda1.02520652842771



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 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')