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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 computationTue, 03 Jan 2012 16:59:16 -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/2012/Jan/03/t13256279687ec9hi7q0a187my.htm/, Retrieved Fri, 03 May 2024 20:22:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160965, Retrieved Fri, 03 May 2024 20:22:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

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] [] [2012-01-03 21:59:16] [b73e01d307dfd28a47e36e69f67f21fd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
797
840
988
819
831
904
814
798
828
789
930
744
832
826
907
776
835
715
729
733
736
712
711
667
799
661
692
649
729
622
671
635
648
745
624
477
710
515
461
590
415
554
585
513
591
561
684
668
795
776
1043
964
762
1030
939
779
918
839
874
840
794
820
1003
780
607
1001
743
810
716
775
883
633

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'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160965&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160965&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160965&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1840.16666666666768.0051245840854244
2764.91666666666770.3141759059532240
3662.66666666666779.4793664857093322
4570.58333333333388.3067570083588295
5879.91666666666798.4114353419388281
6797.083333333333122.623190994595396

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 840.166666666667 & 68.0051245840854 & 244 \tabularnewline
2 & 764.916666666667 & 70.3141759059532 & 240 \tabularnewline
3 & 662.666666666667 & 79.4793664857093 & 322 \tabularnewline
4 & 570.583333333333 & 88.3067570083588 & 295 \tabularnewline
5 & 879.916666666667 & 98.4114353419388 & 281 \tabularnewline
6 & 797.083333333333 & 122.623190994595 & 396 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160965&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]840.166666666667[/C][C]68.0051245840854[/C][C]244[/C][/ROW]
[ROW][C]2[/C][C]764.916666666667[/C][C]70.3141759059532[/C][C]240[/C][/ROW]
[ROW][C]3[/C][C]662.666666666667[/C][C]79.4793664857093[/C][C]322[/C][/ROW]
[ROW][C]4[/C][C]570.583333333333[/C][C]88.3067570083588[/C][C]295[/C][/ROW]
[ROW][C]5[/C][C]879.916666666667[/C][C]98.4114353419388[/C][C]281[/C][/ROW]
[ROW][C]6[/C][C]797.083333333333[/C][C]122.623190994595[/C][C]396[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160965&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160965&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
1840.16666666666768.0051245840854244
2764.91666666666770.3141759059532240
3662.66666666666779.4793664857093322
4570.58333333333388.3067570083588295
5879.91666666666798.4114353419388281
6797.083333333333122.623190994595396






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha69.8627152109515
beta0.0239104737313447
S.D.0.0873955839331826
T-STAT0.273589037972734
p-value0.797946337791876

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 69.8627152109515 \tabularnewline
beta & 0.0239104737313447 \tabularnewline
S.D. & 0.0873955839331826 \tabularnewline
T-STAT & 0.273589037972734 \tabularnewline
p-value & 0.797946337791876 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160965&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]69.8627152109515[/C][/ROW]
[ROW][C]beta[/C][C]0.0239104737313447[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0873955839331826[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.273589037972734[/C][/ROW]
[ROW][C]p-value[/C][C]0.797946337791876[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160965&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160965&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)
alpha69.8627152109515
beta0.0239104737313447
S.D.0.0873955839331826
T-STAT0.273589037972734
p-value0.797946337791876






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.70205529549369
beta0.113788902957879
S.D.0.680350947043394
T-STAT0.16725030435009
p-value0.875287949731928
Lambda0.886211097042121

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.70205529549369 \tabularnewline
beta & 0.113788902957879 \tabularnewline
S.D. & 0.680350947043394 \tabularnewline
T-STAT & 0.16725030435009 \tabularnewline
p-value & 0.875287949731928 \tabularnewline
Lambda & 0.886211097042121 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160965&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.70205529549369[/C][/ROW]
[ROW][C]beta[/C][C]0.113788902957879[/C][/ROW]
[ROW][C]S.D.[/C][C]0.680350947043394[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.16725030435009[/C][/ROW]
[ROW][C]p-value[/C][C]0.875287949731928[/C][/ROW]
[ROW][C]Lambda[/C][C]0.886211097042121[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160965&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160965&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)
alpha3.70205529549369
beta0.113788902957879
S.D.0.680350947043394
T-STAT0.16725030435009
p-value0.875287949731928
Lambda0.886211097042121


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')