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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 computationMon, 24 May 2010 16:53:56 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/May/24/t1274720267cbi9ifpmg7lntml.htm/, Retrieved Sun, 05 May 2024 02:32:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76330, Retrieved Sun, 05 May 2024 02:32:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact151

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] [Standard Deviatio...] [2010-05-24 16:53:56] [5c964c3d7ddd2ed48ce2db94081575d2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2550
2867
3458
2961
3163
2880
3331
3062
3534
3622
4464
5411
2564
2820
3508
3088
3299
2939
3320
3418
3604
3495
4163
4882
2211
3260
2992
2425
2707
3244
3965
3315
3333
3583
4021
4904
2252
2952
3573
3048
3059
2731
3563
3092
3478
3478
4308
5029
2075
3264
3308
3688
3136
2824
3644
4694
2914
3686
4358
5587
2265
3685
3754
3708
3210
3517
3905
3670
4221
4404
5086
5725
2367
3819
4067
4022
3937
4365
4290

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=76330&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=76330&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76330&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
13441.91666666667790.3175953470552861
23425617.5747286398192318
33330739.058368958282693
43380.25728.8414374259272777
53598.16666666667931.6875045102873512
63929.16666666667880.9815634572133460

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3441.91666666667 & 790.317595347055 & 2861 \tabularnewline
2 & 3425 & 617.574728639819 & 2318 \tabularnewline
3 & 3330 & 739.05836895828 & 2693 \tabularnewline
4 & 3380.25 & 728.841437425927 & 2777 \tabularnewline
5 & 3598.16666666667 & 931.687504510287 & 3512 \tabularnewline
6 & 3929.16666666667 & 880.981563457213 & 3460 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76330&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]3441.91666666667[/C][C]790.317595347055[/C][C]2861[/C][/ROW]
[ROW][C]2[/C][C]3425[/C][C]617.574728639819[/C][C]2318[/C][/ROW]
[ROW][C]3[/C][C]3330[/C][C]739.05836895828[/C][C]2693[/C][/ROW]
[ROW][C]4[/C][C]3380.25[/C][C]728.841437425927[/C][C]2777[/C][/ROW]
[ROW][C]5[/C][C]3598.16666666667[/C][C]931.687504510287[/C][C]3512[/C][/ROW]
[ROW][C]6[/C][C]3929.16666666667[/C][C]880.981563457213[/C][C]3460[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76330&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76330&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
13441.91666666667790.3175953470552861
23425617.5747286398192318
33330739.058368958282693
43380.25728.8414374259272777
53598.16666666667931.6875045102873512
63929.16666666667880.9815634572133460






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-410.316887236826
beta0.338807482847712
S.D.0.191800899157089
T-STAT1.76645409034407
p-value0.152067257035526

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -410.316887236826 \tabularnewline
beta & 0.338807482847712 \tabularnewline
S.D. & 0.191800899157089 \tabularnewline
T-STAT & 1.76645409034407 \tabularnewline
p-value & 0.152067257035526 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76330&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-410.316887236826[/C][/ROW]
[ROW][C]beta[/C][C]0.338807482847712[/C][/ROW]
[ROW][C]S.D.[/C][C]0.191800899157089[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.76645409034407[/C][/ROW]
[ROW][C]p-value[/C][C]0.152067257035526[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76330&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76330&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-410.316887236826
beta0.338807482847712
S.D.0.191800899157089
T-STAT1.76645409034407
p-value0.152067257035526






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.14624519367038
beta1.56768451878195
S.D.0.920812195593539
T-STAT1.70250190677747
p-value0.163873809319411
Lambda-0.56768451878195

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.14624519367038 \tabularnewline
beta & 1.56768451878195 \tabularnewline
S.D. & 0.920812195593539 \tabularnewline
T-STAT & 1.70250190677747 \tabularnewline
p-value & 0.163873809319411 \tabularnewline
Lambda & -0.56768451878195 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76330&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.14624519367038[/C][/ROW]
[ROW][C]beta[/C][C]1.56768451878195[/C][/ROW]
[ROW][C]S.D.[/C][C]0.920812195593539[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.70250190677747[/C][/ROW]
[ROW][C]p-value[/C][C]0.163873809319411[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.56768451878195[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76330&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76330&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-6.14624519367038
beta1.56768451878195
S.D.0.920812195593539
T-STAT1.70250190677747
p-value0.163873809319411
Lambda-0.56768451878195


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')