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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 computationFri, 04 Dec 2009 09:24:30 -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/2009/Dec/04/t1259943920zupogf0h5a0vpgy.htm/, Retrieved Sun, 28 Apr 2024 08:17:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63854, Retrieved Sun, 28 Apr 2024 08:17:18 +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] [Industriële Produ...] [2009-12-04 16:24:30] [f340d7563d07b81b9aae66c73f3e92ac] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
103.5
104.6
118.6
106.3
110.7
121.6
107
107.6
125.6
113.5
129.2
130.9
104.7
115.2
124.5
112.3
127.5
120.6
117.5
117.7
120.4
125
131.6
121.1
114.2
112.1
127
116.8
112
129.7
113.6
115.7
119.5
125.8
129.6
128
112.8
101.6
123.9
118.8
109.1
130.6
112.4
111
116.2
119.8
117.2
127.3
107.7
97.5
120.1
110.6
111.3
119.8
105.5
108.7
128.7
119.5
121.1
128.4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63854&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]3 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=63854&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63854&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1114.9259.9034544019200227.4
2119.8416666666677.1696910461309126.9
3120.3333333333337.1449070651546617.7
4116.7258.1121821971649529
5114.9083333333339.5164411160449831.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 114.925 & 9.90345440192002 & 27.4 \tabularnewline
2 & 119.841666666667 & 7.16969104613091 & 26.9 \tabularnewline
3 & 120.333333333333 & 7.14490706515466 & 17.7 \tabularnewline
4 & 116.725 & 8.11218219716495 & 29 \tabularnewline
5 & 114.908333333333 & 9.51644111604498 & 31.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63854&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]114.925[/C][C]9.90345440192002[/C][C]27.4[/C][/ROW]
[ROW][C]2[/C][C]119.841666666667[/C][C]7.16969104613091[/C][C]26.9[/C][/ROW]
[ROW][C]3[/C][C]120.333333333333[/C][C]7.14490706515466[/C][C]17.7[/C][/ROW]
[ROW][C]4[/C][C]116.725[/C][C]8.11218219716495[/C][C]29[/C][/ROW]
[ROW][C]5[/C][C]114.908333333333[/C][C]9.51644111604498[/C][C]31.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63854&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63854&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
1114.9259.9034544019200227.4
2119.8416666666677.1696910461309126.9
3120.3333333333337.1449070651546617.7
4116.7258.1121821971649529
5114.9083333333339.5164411160449831.2






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha64.1737835812891
beta-0.47555205444841
S.D.0.0773355462720659
T-STAT-6.14920405133522
p-value0.00865242694451299

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 64.1737835812891 \tabularnewline
beta & -0.47555205444841 \tabularnewline
S.D. & 0.0773355462720659 \tabularnewline
T-STAT & -6.14920405133522 \tabularnewline
p-value & 0.00865242694451299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63854&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]64.1737835812891[/C][/ROW]
[ROW][C]beta[/C][C]-0.47555205444841[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0773355462720659[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.14920405133522[/C][/ROW]
[ROW][C]p-value[/C][C]0.00865242694451299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63854&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63854&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)
alpha64.1737835812891
beta-0.47555205444841
S.D.0.0773355462720659
T-STAT-6.14920405133522
p-value0.00865242694451299






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha34.1069023129406
beta-6.71400537145694
S.D.0.930654376219516
T-STAT-7.21428442504126
p-value0.00549083001379216
Lambda7.71400537145694

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 34.1069023129406 \tabularnewline
beta & -6.71400537145694 \tabularnewline
S.D. & 0.930654376219516 \tabularnewline
T-STAT & -7.21428442504126 \tabularnewline
p-value & 0.00549083001379216 \tabularnewline
Lambda & 7.71400537145694 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63854&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]34.1069023129406[/C][/ROW]
[ROW][C]beta[/C][C]-6.71400537145694[/C][/ROW]
[ROW][C]S.D.[/C][C]0.930654376219516[/C][/ROW]
[ROW][C]T-STAT[/C][C]-7.21428442504126[/C][/ROW]
[ROW][C]p-value[/C][C]0.00549083001379216[/C][/ROW]
[ROW][C]Lambda[/C][C]7.71400537145694[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63854&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63854&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)
alpha34.1069023129406
beta-6.71400537145694
S.D.0.930654376219516
T-STAT-7.21428442504126
p-value0.00549083001379216
Lambda7.71400537145694


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')