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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 computationFri, 05 Jun 2009 05:13:03 -0600
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/Jun/05/t1244200412tf391w4gjtbaf0v.htm/, Retrieved Fri, 10 May 2024 05:39:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41795, Retrieved Fri, 10 May 2024 05:39:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

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] [standarddeviation...] [2009-06-05 11:13:03] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-    D    [Standard Deviation-Mean Plot] [opgave 8(6) denni...] [2009-06-05 14:48:06] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
665272
661735
621014
574889
677734
717075
653612
690697
665864
830701
789303
617808
805775
909449
599973
955874
799494
876097
823300
900079
860754
923882
1121084
741757
966066
901978
648659
852732
706036
835792
722489
714262
739459
816834
743082
683375
1006000
866000
644000
703000
699000
713000
688000
672000
600000
847000
697000
687000
973000
796000
658000
709000
798000
820000
776000
699000
828433
942131
792916
864942
982689
948143
874863
735794
854605
1284216
961585
818379
1079498
1095091
1008925
967118
1127715

Tables (Output of Computation)





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=41795&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=41795&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41795&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1680475.33333333371345.2137202481255812
2859793.166666667126236.413022863521111
3777563.66666666796238.5427488605317407
4735166.666666667113770.768999721406000
5804785.16666666792723.209426407315000
6967575.5144203.193872397548422

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 680475.333333333 & 71345.2137202481 & 255812 \tabularnewline
2 & 859793.166666667 & 126236.413022863 & 521111 \tabularnewline
3 & 777563.666666667 & 96238.5427488605 & 317407 \tabularnewline
4 & 735166.666666667 & 113770.768999721 & 406000 \tabularnewline
5 & 804785.166666667 & 92723.209426407 & 315000 \tabularnewline
6 & 967575.5 & 144203.193872397 & 548422 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41795&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]680475.333333333[/C][C]71345.2137202481[/C][C]255812[/C][/ROW]
[ROW][C]2[/C][C]859793.166666667[/C][C]126236.413022863[/C][C]521111[/C][/ROW]
[ROW][C]3[/C][C]777563.666666667[/C][C]96238.5427488605[/C][C]317407[/C][/ROW]
[ROW][C]4[/C][C]735166.666666667[/C][C]113770.768999721[/C][C]406000[/C][/ROW]
[ROW][C]5[/C][C]804785.166666667[/C][C]92723.209426407[/C][C]315000[/C][/ROW]
[ROW][C]6[/C][C]967575.5[/C][C]144203.193872397[/C][C]548422[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41795&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41795&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
1680475.33333333371345.2137202481255812
2859793.166666667126236.413022863521111
3777563.66666666796238.5427488605317407
4735166.666666667113770.768999721406000
5804785.16666666792723.209426407315000
6967575.5144203.193872397548422






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-73411.9030427054
beta0.22485138362162
S.D.0.0641870158842233
T-STAT3.50306647729493
p-value0.0248271393547580

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -73411.9030427054 \tabularnewline
beta & 0.22485138362162 \tabularnewline
S.D. & 0.0641870158842233 \tabularnewline
T-STAT & 3.50306647729493 \tabularnewline
p-value & 0.0248271393547580 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41795&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-73411.9030427054[/C][/ROW]
[ROW][C]beta[/C][C]0.22485138362162[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0641870158842233[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.50306647729493[/C][/ROW]
[ROW][C]p-value[/C][C]0.0248271393547580[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41795&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41795&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)
alpha-73411.9030427054
beta0.22485138362162
S.D.0.0641870158842233
T-STAT3.50306647729493
p-value0.0248271393547580






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-12.0290510798370
beta1.73552994286511
S.D.0.533074519152301
T-STAT3.25569855716413
p-value0.0312072704246468
Lambda-0.735529942865108

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.0290510798370 \tabularnewline
beta & 1.73552994286511 \tabularnewline
S.D. & 0.533074519152301 \tabularnewline
T-STAT & 3.25569855716413 \tabularnewline
p-value & 0.0312072704246468 \tabularnewline
Lambda & -0.735529942865108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41795&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.0290510798370[/C][/ROW]
[ROW][C]beta[/C][C]1.73552994286511[/C][/ROW]
[ROW][C]S.D.[/C][C]0.533074519152301[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.25569855716413[/C][/ROW]
[ROW][C]p-value[/C][C]0.0312072704246468[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.735529942865108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41795&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41795&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)
alpha-12.0290510798370
beta1.73552994286511
S.D.0.533074519152301
T-STAT3.25569855716413
p-value0.0312072704246468
Lambda-0.735529942865108


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')