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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 computationMon, 14 Jan 2013 16:02:27 -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/2013/Jan/14/t1358197397j1us2ploh5z8kpr.htm/, Retrieved Sat, 27 Apr 2024 22:10:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205372, Retrieved Sat, 27 Apr 2024 22:10:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54

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] [Opg8Consumptiepri...] [2013-01-14 21:02:27] [a6e34128b9d18a68d11d76dfebda1862] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
163.93
164.28
164.58
165.97
166.3
166.27
166.27
166.44
166.26
166.64
166.07
166.19
166.19
166.19
166.35
166.52
167.17
167.16
167.16
167.16
167.39
168.46
168.55
168.58
168.58
169.21
169.29
169.24
169.53
169.57
169.57
169.67
170.04
170.39
170.57
170.48
170.48
170.48
170.49
170.72
171.11
171.07
171.07
171.07
171.05
172.28
172.74
172.86
172.86
173.24
173.2
173.38
172.89
172.98
172.98
172.69
172.77
172.65
172.3
172.17
172.17
173.07
173.27
173.05
173.41
173.37
173.37
173.08
173.97
175.23
174.9
174.83

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'Sir Maurice George Kendall' @ kendall.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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205372&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205372&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205372&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'Sir Maurice George Kendall' @ kendall.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1165.7666666666670.9320001300559122.70999999999998
2167.240.882259495943132.39000000000001
3169.6783333333330.5946096249310111.98999999999998
4171.2850.8559683511566452.38000000000002
5172.84250.3602051183322171.21000000000001
6173.6433333333330.9107273150752893.06

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 165.766666666667 & 0.932000130055912 & 2.70999999999998 \tabularnewline
2 & 167.24 & 0.88225949594313 & 2.39000000000001 \tabularnewline
3 & 169.678333333333 & 0.594609624931011 & 1.98999999999998 \tabularnewline
4 & 171.285 & 0.855968351156645 & 2.38000000000002 \tabularnewline
5 & 172.8425 & 0.360205118332217 & 1.21000000000001 \tabularnewline
6 & 173.643333333333 & 0.910727315075289 & 3.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205372&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]165.766666666667[/C][C]0.932000130055912[/C][C]2.70999999999998[/C][/ROW]
[ROW][C]2[/C][C]167.24[/C][C]0.88225949594313[/C][C]2.39000000000001[/C][/ROW]
[ROW][C]3[/C][C]169.678333333333[/C][C]0.594609624931011[/C][C]1.98999999999998[/C][/ROW]
[ROW][C]4[/C][C]171.285[/C][C]0.855968351156645[/C][C]2.38000000000002[/C][/ROW]
[ROW][C]5[/C][C]172.8425[/C][C]0.360205118332217[/C][C]1.21000000000001[/C][/ROW]
[ROW][C]6[/C][C]173.643333333333[/C][C]0.910727315075289[/C][C]3.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205372&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205372&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
1165.7666666666670.9320001300559122.70999999999998
2167.240.882259495943132.39000000000001
3169.6783333333330.5946096249310111.98999999999998
4171.2850.8559683511566452.38000000000002
5172.84250.3602051183322171.21000000000001
6173.6433333333330.9107273150752893.06






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5.91457795255562
beta-0.0303312467514986
S.D.0.033546644482579
T-STAT-0.904151435093601
p-value0.41704575941022

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.91457795255562 \tabularnewline
beta & -0.0303312467514986 \tabularnewline
S.D. & 0.033546644482579 \tabularnewline
T-STAT & -0.904151435093601 \tabularnewline
p-value & 0.41704575941022 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205372&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.91457795255562[/C][/ROW]
[ROW][C]beta[/C][C]-0.0303312467514986[/C][/ROW]
[ROW][C]S.D.[/C][C]0.033546644482579[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.904151435093601[/C][/ROW]
[ROW][C]p-value[/C][C]0.41704575941022[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205372&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205372&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)
alpha5.91457795255562
beta-0.0303312467514986
S.D.0.033546644482579
T-STAT-0.904151435093601
p-value0.41704575941022






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha44.2909072894539
beta-8.6878777137268
S.D.9.28266843626643
T-STAT-0.935924596830817
p-value0.402298474917434
Lambda9.6878777137268

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 44.2909072894539 \tabularnewline
beta & -8.6878777137268 \tabularnewline
S.D. & 9.28266843626643 \tabularnewline
T-STAT & -0.935924596830817 \tabularnewline
p-value & 0.402298474917434 \tabularnewline
Lambda & 9.6878777137268 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205372&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]44.2909072894539[/C][/ROW]
[ROW][C]beta[/C][C]-8.6878777137268[/C][/ROW]
[ROW][C]S.D.[/C][C]9.28266843626643[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.935924596830817[/C][/ROW]
[ROW][C]p-value[/C][C]0.402298474917434[/C][/ROW]
[ROW][C]Lambda[/C][C]9.6878777137268[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205372&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205372&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)
alpha44.2909072894539
beta-8.6878777137268
S.D.9.28266843626643
T-STAT-0.935924596830817
p-value0.402298474917434
Lambda9.6878777137268


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')