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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 10 Dec 2009 14:38:46 -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/2009/Dec/10/t1260481189oows5n7fz0qjole.htm/, Retrieved Fri, 29 Mar 2024 15:26:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65813, Retrieved Fri, 29 Mar 2024 15:26:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
- R  D          [Standard Deviation-Mean Plot] [Workshop9 R2 blog 3] [2009-12-10 21:38:46] [5ed0eef5d4509bbfdac0ae6d87f3b4bf] [Current]
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Dataseries X:
106370
109375
116476
123297
114813
117925
126466
131235
120546
123791
129813
133463
122987
125418
130199
133016
121454
122044
128313
131556
120027
123001
130111
132524
123742
124931
133646
136557
127509
128945
137191
139716
129083
131604
139413
143125
133948
137116
144864
149277
138796
143258
150034
154708
144888
148762
156500
161088
152772
158011
163318
169969
162269
165765
170600
174681
166364
170240
176150
182056
172218
177856
182253
188090
176863
183273
187969
194650
183036
189516
193805
200499
188142
193732
197126
205140
191751
196700
199784
207360
196101
200824
205743
212489
200810
203683
207286
210910
194915
217920




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65813&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]1 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=65813&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65813&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1121130.8333333338517.7515794778227093
2126720.8333333334735.8048722343712989
3132955.1666666676281.7333426275619383
4146936.5833333338112.6201177081127140
5167682.9166666678074.577202084629284
6185835.6666666678181.2404075458328281
7199574.3333333337073.6114131497524347

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 121130.833333333 & 8517.75157947782 & 27093 \tabularnewline
2 & 126720.833333333 & 4735.80487223437 & 12989 \tabularnewline
3 & 132955.166666667 & 6281.73334262756 & 19383 \tabularnewline
4 & 146936.583333333 & 8112.62011770811 & 27140 \tabularnewline
5 & 167682.916666667 & 8074.5772020846 & 29284 \tabularnewline
6 & 185835.666666667 & 8181.24040754583 & 28281 \tabularnewline
7 & 199574.333333333 & 7073.61141314975 & 24347 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65813&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]121130.833333333[/C][C]8517.75157947782[/C][C]27093[/C][/ROW]
[ROW][C]2[/C][C]126720.833333333[/C][C]4735.80487223437[/C][C]12989[/C][/ROW]
[ROW][C]3[/C][C]132955.166666667[/C][C]6281.73334262756[/C][C]19383[/C][/ROW]
[ROW][C]4[/C][C]146936.583333333[/C][C]8112.62011770811[/C][C]27140[/C][/ROW]
[ROW][C]5[/C][C]167682.916666667[/C][C]8074.5772020846[/C][C]29284[/C][/ROW]
[ROW][C]6[/C][C]185835.666666667[/C][C]8181.24040754583[/C][C]28281[/C][/ROW]
[ROW][C]7[/C][C]199574.333333333[/C][C]7073.61141314975[/C][C]24347[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65813&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65813&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
1121130.8333333338517.7515794778227093
2126720.8333333334735.8048722343712989
3132955.1666666676281.7333426275619383
4146936.5833333338112.6201177081127140
5167682.9166666678074.577202084629284
6185835.6666666678181.2404075458328281
7199574.3333333337073.6114131497524347







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5239.97068602673
beta0.0132282230821635
S.D.0.0190985541646090
T-STAT0.692629555522917
p-value0.51938803161734

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5239.97068602673 \tabularnewline
beta & 0.0132282230821635 \tabularnewline
S.D. & 0.0190985541646090 \tabularnewline
T-STAT & 0.692629555522917 \tabularnewline
p-value & 0.51938803161734 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65813&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5239.97068602673[/C][/ROW]
[ROW][C]beta[/C][C]0.0132282230821635[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0190985541646090[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.692629555522917[/C][/ROW]
[ROW][C]p-value[/C][C]0.51938803161734[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65813&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65813&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)
alpha5239.97068602673
beta0.0132282230821635
S.D.0.0190985541646090
T-STAT0.692629555522917
p-value0.51938803161734







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.45929908618328
beta0.3701613501768
S.D.0.454055201387369
T-STAT0.815234246950083
p-value0.452007773833342
Lambda0.6298386498232

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.45929908618328 \tabularnewline
beta & 0.3701613501768 \tabularnewline
S.D. & 0.454055201387369 \tabularnewline
T-STAT & 0.815234246950083 \tabularnewline
p-value & 0.452007773833342 \tabularnewline
Lambda & 0.6298386498232 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65813&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.45929908618328[/C][/ROW]
[ROW][C]beta[/C][C]0.3701613501768[/C][/ROW]
[ROW][C]S.D.[/C][C]0.454055201387369[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.815234246950083[/C][/ROW]
[ROW][C]p-value[/C][C]0.452007773833342[/C][/ROW]
[ROW][C]Lambda[/C][C]0.6298386498232[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65813&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65813&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)
alpha4.45929908618328
beta0.3701613501768
S.D.0.454055201387369
T-STAT0.815234246950083
p-value0.452007773833342
Lambda0.6298386498232



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')