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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, 29 Nov 2007 03:38:46 -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/29/t1196332114suyi9isjadt9oho.htm/, Retrieved Fri, 03 May 2024 09:13:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7391, Retrieved Fri, 03 May 2024 09:13:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact161

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] [tot. bevolking] [2007-11-29 10:38:46] [dd38921fafddee0dfc20da83e9650a2a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.798
8.841
8.896
8.951
9.027
9.079
9.129
9.178
9.190
9.251
9.328
9.428
9.499
9.556
9.606
9.632
9.660
9.651
9.695
9.727
9.757
9.788
9.813
9.823
9.837
9.842
9.855
9.863
9.855
9.858
9.853
9.858
9.859
9.865
9.876
9.928
9.948
9.987
10.022
10.068
10.101
10.131
10.143
10.170
10.192
10.214
10.239
10.263
10.310
10.355
10.396
10.446
10.511
10.585

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7391&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7391&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7391&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
19.091333333333330.1964143733554300.630000000000001
29.683916666666670.1023092089815200.982000000000001
39.862416666666670.02297215046463221.032
410.12316666666670.1007253992824361.312

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9.09133333333333 & 0.196414373355430 & 0.630000000000001 \tabularnewline
2 & 9.68391666666667 & 0.102309208981520 & 0.982000000000001 \tabularnewline
3 & 9.86241666666667 & 0.0229721504646322 & 1.032 \tabularnewline
4 & 10.1231666666667 & 0.100725399282436 & 1.312 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7391&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]9.09133333333333[/C][C]0.196414373355430[/C][C]0.630000000000001[/C][/ROW]
[ROW][C]2[/C][C]9.68391666666667[/C][C]0.102309208981520[/C][C]0.982000000000001[/C][/ROW]
[ROW][C]3[/C][C]9.86241666666667[/C][C]0.0229721504646322[/C][C]1.032[/C][/ROW]
[ROW][C]4[/C][C]10.1231666666667[/C][C]0.100725399282436[/C][C]1.312[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7391&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7391&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
19.091333333333330.1964143733554300.630000000000001
29.683916666666670.1023092089815200.982000000000001
39.862416666666670.02297215046463221.032
410.12316666666670.1007253992824361.312






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1.29551709950196
beta-0.122795277000163
S.D.0.0747051198813486
T-STAT-1.64373308275516
p-value0.241952323388514

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.29551709950196 \tabularnewline
beta & -0.122795277000163 \tabularnewline
S.D. & 0.0747051198813486 \tabularnewline
T-STAT & -1.64373308275516 \tabularnewline
p-value & 0.241952323388514 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7391&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.29551709950196[/C][/ROW]
[ROW][C]beta[/C][C]-0.122795277000163[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0747051198813486[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.64373308275516[/C][/ROW]
[ROW][C]p-value[/C][C]0.241952323388514[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7391&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7391&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)
alpha1.29551709950196
beta-0.122795277000163
S.D.0.0747051198813486
T-STAT-1.64373308275516
p-value0.241952323388514






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha22.5142726639162
beta-11.0152401799765
S.D.11.6606847243406
T-STAT-0.944647800740485
p-value0.44455151776957
Lambda12.0152401799765

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 22.5142726639162 \tabularnewline
beta & -11.0152401799765 \tabularnewline
S.D. & 11.6606847243406 \tabularnewline
T-STAT & -0.944647800740485 \tabularnewline
p-value & 0.44455151776957 \tabularnewline
Lambda & 12.0152401799765 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7391&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.5142726639162[/C][/ROW]
[ROW][C]beta[/C][C]-11.0152401799765[/C][/ROW]
[ROW][C]S.D.[/C][C]11.6606847243406[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.944647800740485[/C][/ROW]
[ROW][C]p-value[/C][C]0.44455151776957[/C][/ROW]
[ROW][C]Lambda[/C][C]12.0152401799765[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7391&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7391&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)
alpha22.5142726639162
beta-11.0152401799765
S.D.11.6606847243406
T-STAT-0.944647800740485
p-value0.44455151776957
Lambda12.0152401799765


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')