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Description of Statistical Computation

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 computationTue, 01 Dec 2009 10:14:00 -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/01/t1259687847b7hr95hvazhqxce.htm/, Retrieved Sat, 20 Apr 2024 07:33:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62131, Retrieved Sat, 20 Apr 2024 07:33:20 +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)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
- R  D      [Standard Deviation-Mean Plot] [] [2009-12-01 17:14:00] [6dfcce621b31349cab7f0d189e6f8a9d] [Current]
- RMP         [ARIMA Backward Selection] [] [2009-12-03 15:58:00] [b7349fb284cae6f1172638396d27b11f]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
116222
110924
103753
99983
93302
91496
119321
139261
133739
123913
113438
109416
109406
105645
101328
97686
93093
91382
122257
139183
139887
131822
116805
113706
113012
110452
107005
102841
98173
98181
137277
147579
146571
138920
130340
128140
127059
122860
117702
113537
108366
111078
150739
159129
157928
147768
137507
136919
136151
133001
125554
119647
114158
116193
152803
161761
160942
149470
139208
134588
130322
126611
122401
117352
112135
112879
148729
157230
157221
146681
136524
132111

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62131&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]2 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=62131&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62131&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1112897.33333333314807.181441531147765
2113516.66666666716953.376527906548505
3121540.91666666718643.904597181049406
4132549.33333333318361.249879883350763
5136956.33333333316530.332616866647603
6133349.66666666716139.886263727545095

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 112897.333333333 & 14807.1814415311 & 47765 \tabularnewline
2 & 113516.666666667 & 16953.3765279065 & 48505 \tabularnewline
3 & 121540.916666667 & 18643.9045971810 & 49406 \tabularnewline
4 & 132549.333333333 & 18361.2498798833 & 50763 \tabularnewline
5 & 136956.333333333 & 16530.3326168666 & 47603 \tabularnewline
6 & 133349.666666667 & 16139.8862637275 & 45095 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62131&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]112897.333333333[/C][C]14807.1814415311[/C][C]47765[/C][/ROW]
[ROW][C]2[/C][C]113516.666666667[/C][C]16953.3765279065[/C][C]48505[/C][/ROW]
[ROW][C]3[/C][C]121540.916666667[/C][C]18643.9045971810[/C][C]49406[/C][/ROW]
[ROW][C]4[/C][C]132549.333333333[/C][C]18361.2498798833[/C][C]50763[/C][/ROW]
[ROW][C]5[/C][C]136956.333333333[/C][C]16530.3326168666[/C][C]47603[/C][/ROW]
[ROW][C]6[/C][C]133349.666666667[/C][C]16139.8862637275[/C][C]45095[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62131&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62131&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
1112897.33333333314807.181441531147765
2113516.66666666716953.376527906548505
3121540.91666666718643.904597181049406
4132549.33333333318361.249879883350763
5136956.33333333316530.332616866647603
6133349.66666666716139.886263727545095






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12671.9108332108
beta0.0338360675388107
S.D.0.0655840185556039
T-STAT0.515919400549138
p-value0.633117868586169

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12671.9108332108 \tabularnewline
beta & 0.0338360675388107 \tabularnewline
S.D. & 0.0655840185556039 \tabularnewline
T-STAT & 0.515919400549138 \tabularnewline
p-value & 0.633117868586169 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62131&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12671.9108332108[/C][/ROW]
[ROW][C]beta[/C][C]0.0338360675388107[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0655840185556039[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.515919400549138[/C][/ROW]
[ROW][C]p-value[/C][C]0.633117868586169[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62131&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62131&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)
alpha12671.9108332108
beta0.0338360675388107
S.D.0.0655840185556039
T-STAT0.515919400549138
p-value0.633117868586169






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.4304351545731
beta0.281397739916104
S.D.0.481132224065082
T-STAT0.584865710175422
p-value0.590039389000172
Lambda0.718602260083896

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.4304351545731 \tabularnewline
beta & 0.281397739916104 \tabularnewline
S.D. & 0.481132224065082 \tabularnewline
T-STAT & 0.584865710175422 \tabularnewline
p-value & 0.590039389000172 \tabularnewline
Lambda & 0.718602260083896 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62131&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.4304351545731[/C][/ROW]
[ROW][C]beta[/C][C]0.281397739916104[/C][/ROW]
[ROW][C]S.D.[/C][C]0.481132224065082[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.584865710175422[/C][/ROW]
[ROW][C]p-value[/C][C]0.590039389000172[/C][/ROW]
[ROW][C]Lambda[/C][C]0.718602260083896[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62131&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62131&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)
alpha6.4304351545731
beta0.281397739916104
S.D.0.481132224065082
T-STAT0.584865710175422
p-value0.590039389000172
Lambda0.718602260083896


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')