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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 04 Dec 2013 02:43:22 -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/Dec/04/t13861430099oxb8f00kerwe2q.htm/, Retrieved Fri, 29 Mar 2024 01:19:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230411, Retrieved Fri, 29 Mar 2024 01:19:55 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2013-12-04 07:43:22] [655b7e86b856b1a975cbf3a4c6f4d54e] [Current]
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Dataseries X:
5731
5040
6102
4904
5369
5578
4619
4731
5011
5227
4146
4625
4736
4219
5116
4205
4121
5103
4300
4578
3809
5657
4249
3830
4736
4840
4413
4571
4106
4801
3956
3829
4453
4027
4121
4798
3233
3554
3952
3951
3685
4312
3867
4140
4114
3818
3377
3453
3502
4017
5410
5184
5529
6434
4962
2980
2937
2969
2731
3163
3145
3173
3723
3224
4114
3446
2955
3879
4278
4177
3698
4449
4162
3961
5246
5170
3682
3495
3770
3291
3580
3898
3477
3054




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230411&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230411&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230411&T=0

As an alternative you can also use a 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' @ jenkins.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
15090.25545.327112007931956
24493.58333333333562.6244441468171848
34387.58333333333367.1329851537161011
43788333.0162431200891079
54151.51282.565716905693703
63688.41666666667500.6218784187471494
73898.83333333333680.4639905419262192

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5090.25 & 545.32711200793 & 1956 \tabularnewline
2 & 4493.58333333333 & 562.624444146817 & 1848 \tabularnewline
3 & 4387.58333333333 & 367.132985153716 & 1011 \tabularnewline
4 & 3788 & 333.016243120089 & 1079 \tabularnewline
5 & 4151.5 & 1282.56571690569 & 3703 \tabularnewline
6 & 3688.41666666667 & 500.621878418747 & 1494 \tabularnewline
7 & 3898.83333333333 & 680.463990541926 & 2192 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230411&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]5090.25[/C][C]545.32711200793[/C][C]1956[/C][/ROW]
[ROW][C]2[/C][C]4493.58333333333[/C][C]562.624444146817[/C][C]1848[/C][/ROW]
[ROW][C]3[/C][C]4387.58333333333[/C][C]367.132985153716[/C][C]1011[/C][/ROW]
[ROW][C]4[/C][C]3788[/C][C]333.016243120089[/C][C]1079[/C][/ROW]
[ROW][C]5[/C][C]4151.5[/C][C]1282.56571690569[/C][C]3703[/C][/ROW]
[ROW][C]6[/C][C]3688.41666666667[/C][C]500.621878418747[/C][C]1494[/C][/ROW]
[ROW][C]7[/C][C]3898.83333333333[/C][C]680.463990541926[/C][C]2192[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230411&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230411&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
15090.25545.327112007931956
24493.58333333333562.6244441468171848
34387.58333333333367.1329851537161011
43788333.0162431200891079
54151.51282.565716905693703
63688.41666666667500.6218784187471494
73898.83333333333680.4639905419262192







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha612.694782475733
beta-0.000580073576387661
S.D.0.291703280044652
T-STAT-0.00198857406162477
p-value0.998490249160039

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 612.694782475733 \tabularnewline
beta & -0.000580073576387661 \tabularnewline
S.D. & 0.291703280044652 \tabularnewline
T-STAT & -0.00198857406162477 \tabularnewline
p-value & 0.998490249160039 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230411&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]612.694782475733[/C][/ROW]
[ROW][C]beta[/C][C]-0.000580073576387661[/C][/ROW]
[ROW][C]S.D.[/C][C]0.291703280044652[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.00198857406162477[/C][/ROW]
[ROW][C]p-value[/C][C]0.998490249160039[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230411&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230411&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha612.694782475733
beta-0.000580073576387661
S.D.0.291703280044652
T-STAT-0.00198857406162477
p-value0.998490249160039







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.06165082357752
beta0.270819754539881
S.D.1.75554248712194
T-STAT0.154265565502699
p-value0.883433796234606
Lambda0.729180245460119

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.06165082357752 \tabularnewline
beta & 0.270819754539881 \tabularnewline
S.D. & 1.75554248712194 \tabularnewline
T-STAT & 0.154265565502699 \tabularnewline
p-value & 0.883433796234606 \tabularnewline
Lambda & 0.729180245460119 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230411&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.06165082357752[/C][/ROW]
[ROW][C]beta[/C][C]0.270819754539881[/C][/ROW]
[ROW][C]S.D.[/C][C]1.75554248712194[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.154265565502699[/C][/ROW]
[ROW][C]p-value[/C][C]0.883433796234606[/C][/ROW]
[ROW][C]Lambda[/C][C]0.729180245460119[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230411&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230411&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.06165082357752
beta0.270819754539881
S.D.1.75554248712194
T-STAT0.154265565502699
p-value0.883433796234606
Lambda0.729180245460119



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')