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 computationWed, 05 Jan 2011 17:25:04 +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/2011/Jan/05/t12942484300zhzl9jsyaa0dc0.htm/, Retrieved Sat, 18 May 2024 12:37:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117276, Retrieved Sat, 18 May 2024 12:37:53 +0000
QR Codes:

Original text written by user:Verbetering opgave 8 oefening 3 Standard deviation mean plot
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83 - Natasha Van Linden
Estimated Impact188

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...] [2011-01-05 17:25:04] [85d6e4146de3ee96ae2a9c7dd566a647] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
97
100,7
101,4
101,5
101,8
101,5
102,2
101,8
98,5
98,4
97,5
97,7
98,3
99,6
99,4
96,7
96,9
96,1
97,9
99,2
97,8
94,9
93,3
91,5
89,1
92,3
91,8
92,1
94,4
92,8
92,6
92,3
92,1
89,8
87,4
87,7
86,3
89,1
90,4
87,1
86,7
84,4
88,4
88,9
88,5
87,2
86,2
83,4
87,5
85,7
87,4
86,8
87,9
85,9
87,7
87
86,8
86,2
86,1
87,5
85,7
88,9
89,8
91,4
95,2
94,1
96,8
96,1
96,6
94,2
93,9
96,5
93,4
95
95,2
94
97
96,9
96,3
96,3
97,3
95,7
96,4
95,1
94,6
95,9
96,2
94,3
98,3
95,9
92,1
94,6
94,7
96,7
97,5
96,2
97,1
95,9
94,5
99,4
101,3
101,4
100,9
101,4
103,1
102,4
101,1
102
103,9
101,7
101,2
101,9
101,1
103,1
103,3
101,4
102,8
103
102,6
102,2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ www.wessa.org

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117276&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117276&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117276&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 time0 seconds
R Server'Gwilym Jenkins' @ www.wessa.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11001.991344908712345.2
296.82.509617862978718.1
391.22.178823702659937
487.21666666666672.004918195263087
586.8750.750908540611732.2
693.26666666666673.5625152843903911.1
795.71666666666671.212685474723793.89999999999999
895.58333333333331.6447344816576.2
9100.0416666666672.743739430158428.6
10102.350.9040313751594722.80000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 100 & 1.99134490871234 & 5.2 \tabularnewline
2 & 96.8 & 2.50961786297871 & 8.1 \tabularnewline
3 & 91.2 & 2.17882370265993 & 7 \tabularnewline
4 & 87.2166666666667 & 2.00491819526308 & 7 \tabularnewline
5 & 86.875 & 0.75090854061173 & 2.2 \tabularnewline
6 & 93.2666666666667 & 3.56251528439039 & 11.1 \tabularnewline
7 & 95.7166666666667 & 1.21268547472379 & 3.89999999999999 \tabularnewline
8 & 95.5833333333333 & 1.644734481657 & 6.2 \tabularnewline
9 & 100.041666666667 & 2.74373943015842 & 8.6 \tabularnewline
10 & 102.35 & 0.904031375159472 & 2.80000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117276&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]100[/C][C]1.99134490871234[/C][C]5.2[/C][/ROW]
[ROW][C]2[/C][C]96.8[/C][C]2.50961786297871[/C][C]8.1[/C][/ROW]
[ROW][C]3[/C][C]91.2[/C][C]2.17882370265993[/C][C]7[/C][/ROW]
[ROW][C]4[/C][C]87.2166666666667[/C][C]2.00491819526308[/C][C]7[/C][/ROW]
[ROW][C]5[/C][C]86.875[/C][C]0.75090854061173[/C][C]2.2[/C][/ROW]
[ROW][C]6[/C][C]93.2666666666667[/C][C]3.56251528439039[/C][C]11.1[/C][/ROW]
[ROW][C]7[/C][C]95.7166666666667[/C][C]1.21268547472379[/C][C]3.89999999999999[/C][/ROW]
[ROW][C]8[/C][C]95.5833333333333[/C][C]1.644734481657[/C][C]6.2[/C][/ROW]
[ROW][C]9[/C][C]100.041666666667[/C][C]2.74373943015842[/C][C]8.6[/C][/ROW]
[ROW][C]10[/C][C]102.35[/C][C]0.904031375159472[/C][C]2.80000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117276&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117276&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
11001.991344908712345.2
296.82.509617862978718.1
391.22.178823702659937
487.21666666666672.004918195263087
586.8750.750908540611732.2
693.26666666666673.5625152843903911.1
795.71666666666671.212685474723793.89999999999999
895.58333333333331.6447344816576.2
9100.0416666666672.743739430158428.6
10102.350.9040313751594722.80000000000001






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1.02100154541468
beta0.00979221727218593
S.D.0.0577866018952053
T-STAT0.169454803553666
p-value0.869645442932308

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.02100154541468 \tabularnewline
beta & 0.00979221727218593 \tabularnewline
S.D. & 0.0577866018952053 \tabularnewline
T-STAT & 0.169454803553666 \tabularnewline
p-value & 0.869645442932308 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117276&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.02100154541468[/C][/ROW]
[ROW][C]beta[/C][C]0.00979221727218593[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0577866018952053[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.169454803553666[/C][/ROW]
[ROW][C]p-value[/C][C]0.869645442932308[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117276&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117276&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)
alpha1.02100154541468
beta0.00979221727218593
S.D.0.0577866018952053
T-STAT0.169454803553666
p-value0.869645442932308






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.64874548465024
beta0.926156615523724
S.D.3.09375557231916
T-STAT0.299363215313565
p-value0.77229284016598
Lambda0.073843384476276

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.64874548465024 \tabularnewline
beta & 0.926156615523724 \tabularnewline
S.D. & 3.09375557231916 \tabularnewline
T-STAT & 0.299363215313565 \tabularnewline
p-value & 0.77229284016598 \tabularnewline
Lambda & 0.073843384476276 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117276&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.64874548465024[/C][/ROW]
[ROW][C]beta[/C][C]0.926156615523724[/C][/ROW]
[ROW][C]S.D.[/C][C]3.09375557231916[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.299363215313565[/C][/ROW]
[ROW][C]p-value[/C][C]0.77229284016598[/C][/ROW]
[ROW][C]Lambda[/C][C]0.073843384476276[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117276&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117276&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-3.64874548465024
beta0.926156615523724
S.D.3.09375557231916
T-STAT0.299363215313565
p-value0.77229284016598
Lambda0.073843384476276


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')