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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 computationThu, 13 Dec 2012 09:00:46 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/13/t1355407289vtt0z8dls9laile.htm/, Retrieved Mon, 29 Apr 2024 00:59:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=199232, Retrieved Mon, 29 Apr 2024 00:59:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85

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] [Eigen reeks sprei...] [2012-12-13 14:00:46] [56be9a844975c6d0d36e88eaea5fb75b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
45,3
49,9
53,8
55,1
52,9
53,5
53,8
52
48,2
45,5
45,7
52,5
52,3
54,8
54,7
54,9
54,9
64,2
66,4
69,1
68,3
77,3
89,6
93
96,1
131,3
125,3
126
138,3
163
182,5
164,6
148,8
109,3
93,5
80,2
84
75,5
62,4
64,2
64,7
71
73,7
72,6
68,1
72,3
78,5
81,9
97,8
93,1
94,2
101,1
101
99,7
97,1
91,7
95
98,9
109
121,9
131,5
128,5
128,4
126,4
123,1
123
123,3
123,6
124,9
120,4
114,9
113,4

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' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199232&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199232&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199232&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' @ fisher.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
150.68333333333333.621610222823639.8
266.62513.864613229369240.7
3129.90833333333331.4706344602922102.3
472.40833333333336.8778244886715221.6
5100.0416666666678.2709192996066730.2
6123.455.3034294222100918.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 50.6833333333333 & 3.62161022282363 & 9.8 \tabularnewline
2 & 66.625 & 13.8646132293692 & 40.7 \tabularnewline
3 & 129.908333333333 & 31.4706344602922 & 102.3 \tabularnewline
4 & 72.4083333333333 & 6.87782448867152 & 21.6 \tabularnewline
5 & 100.041666666667 & 8.27091929960667 & 30.2 \tabularnewline
6 & 123.45 & 5.30342942221009 & 18.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199232&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]50.6833333333333[/C][C]3.62161022282363[/C][C]9.8[/C][/ROW]
[ROW][C]2[/C][C]66.625[/C][C]13.8646132293692[/C][C]40.7[/C][/ROW]
[ROW][C]3[/C][C]129.908333333333[/C][C]31.4706344602922[/C][C]102.3[/C][/ROW]
[ROW][C]4[/C][C]72.4083333333333[/C][C]6.87782448867152[/C][C]21.6[/C][/ROW]
[ROW][C]5[/C][C]100.041666666667[/C][C]8.27091929960667[/C][C]30.2[/C][/ROW]
[ROW][C]6[/C][C]123.45[/C][C]5.30342942221009[/C][C]18.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199232&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199232&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
150.68333333333333.621610222823639.8
266.62513.864613229369240.7
3129.90833333333331.4706344602922102.3
472.40833333333336.8778244886715221.6
5100.0416666666678.2709192996066730.2
6123.455.3034294222100918.1






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-3.93745604157662
beta0.171296100971123
S.D.0.135658217963734
T-STAT1.26270345831106
p-value0.27529146123134

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3.93745604157662 \tabularnewline
beta & 0.171296100971123 \tabularnewline
S.D. & 0.135658217963734 \tabularnewline
T-STAT & 1.26270345831106 \tabularnewline
p-value & 0.27529146123134 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199232&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.93745604157662[/C][/ROW]
[ROW][C]beta[/C][C]0.171296100971123[/C][/ROW]
[ROW][C]S.D.[/C][C]0.135658217963734[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.26270345831106[/C][/ROW]
[ROW][C]p-value[/C][C]0.27529146123134[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199232&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199232&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-3.93745604157662
beta0.171296100971123
S.D.0.135658217963734
T-STAT1.26270345831106
p-value0.27529146123134






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.46939303314447
beta1.04479534170234
S.D.0.883285844197886
T-STAT1.18285077086356
p-value0.30237092905422
Lambda-0.0447953417023361

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.46939303314447 \tabularnewline
beta & 1.04479534170234 \tabularnewline
S.D. & 0.883285844197886 \tabularnewline
T-STAT & 1.18285077086356 \tabularnewline
p-value & 0.30237092905422 \tabularnewline
Lambda & -0.0447953417023361 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199232&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.46939303314447[/C][/ROW]
[ROW][C]beta[/C][C]1.04479534170234[/C][/ROW]
[ROW][C]S.D.[/C][C]0.883285844197886[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.18285077086356[/C][/ROW]
[ROW][C]p-value[/C][C]0.30237092905422[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0447953417023361[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199232&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199232&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-2.46939303314447
beta1.04479534170234
S.D.0.883285844197886
T-STAT1.18285077086356
p-value0.30237092905422
Lambda-0.0447953417023361


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')