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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, 27 Nov 2007 02:44:43 -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/2007/Nov/27/t1196156139hkv0qomiiy50aj0.htm/, Retrieved Sun, 05 May 2024 19:29:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6761, Retrieved Sun, 05 May 2024 19:29:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact233

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] [statistiek opdrac...] [2007-11-27 09:44:43] [0d8f90662bd29255b957138f6acc6b00] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5 329
4 903
5 826
6 006
6 552
6 748
5 633
5 361
6 631
7 078
6 100
6 376
5 571
5 512
5 461
5 704
6 420
6 344
5 624
5 322
6 098
6 303
5 581
5 491
5 108
4 585
5 545
5 145
5 888
5 925
5 715
5 595
6 160
6 163
5 906
5 045
5 130
4 743
5 438
5 698
6 333
6 340
5 635
5 948
6 199
6 023
4 540
4 315
5 161
4 433
5 199
5 582
5 936
6 391
5 647
5 827
6 101
5 777
5 511
5 036
4 468
4 053
4 821
5 138
6 102
6 029
5 365
5 717
6 150
5 737
5 268
5 307

Tables (Output of Computation)





Summary of compuational 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 compuational 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=6761&T=0

[TABLE]
[ROW][C]Summary of compuational 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=6761&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6761&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 compuational 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
16045.25659.0785751197032610
25785.91666666667391.0583444805632367
35565495.5885390119511342
45528.5703.8609754257391202
55550.08333333333529.708059961219503
65346.25656.75166539568225

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6045.25 & 659.078575119703 & 2610 \tabularnewline
2 & 5785.91666666667 & 391.058344480563 & 2367 \tabularnewline
3 & 5565 & 495.588539011951 & 1342 \tabularnewline
4 & 5528.5 & 703.860975425739 & 1202 \tabularnewline
5 & 5550.08333333333 & 529.708059961219 & 503 \tabularnewline
6 & 5346.25 & 656.75166539568 & 225 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6761&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]6045.25[/C][C]659.078575119703[/C][C]2610[/C][/ROW]
[ROW][C]2[/C][C]5785.91666666667[/C][C]391.058344480563[/C][C]2367[/C][/ROW]
[ROW][C]3[/C][C]5565[/C][C]495.588539011951[/C][C]1342[/C][/ROW]
[ROW][C]4[/C][C]5528.5[/C][C]703.860975425739[/C][C]1202[/C][/ROW]
[ROW][C]5[/C][C]5550.08333333333[/C][C]529.708059961219[/C][C]503[/C][/ROW]
[ROW][C]6[/C][C]5346.25[/C][C]656.75166539568[/C][C]225[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6761&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6761&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
16045.25659.0785751197032610
25785.91666666667391.0583444805632367
35565495.5885390119511342
45528.5703.8609754257391202
55550.08333333333529.708059961219503
65346.25656.75166539568225






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha973.182273639902
beta-0.0710519346691273
S.D.0.244124893107200
T-STAT-0.291047478873557
p-value0.78548285740615

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 973.182273639902 \tabularnewline
beta & -0.0710519346691273 \tabularnewline
S.D. & 0.244124893107200 \tabularnewline
T-STAT & -0.291047478873557 \tabularnewline
p-value & 0.78548285740615 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6761&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]973.182273639902[/C][/ROW]
[ROW][C]beta[/C][C]-0.0710519346691273[/C][/ROW]
[ROW][C]S.D.[/C][C]0.244124893107200[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.291047478873557[/C][/ROW]
[ROW][C]p-value[/C][C]0.78548285740615[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6761&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6761&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)
alpha973.182273639902
beta-0.0710519346691273
S.D.0.244124893107200
T-STAT-0.291047478873557
p-value0.78548285740615






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.2645704675353
beta-0.918713561160108
S.D.2.57836331252999
T-STAT-0.356316565898788
p-value0.739603261854047
Lambda1.91871356116011

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.2645704675353 \tabularnewline
beta & -0.918713561160108 \tabularnewline
S.D. & 2.57836331252999 \tabularnewline
T-STAT & -0.356316565898788 \tabularnewline
p-value & 0.739603261854047 \tabularnewline
Lambda & 1.91871356116011 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6761&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.2645704675353[/C][/ROW]
[ROW][C]beta[/C][C]-0.918713561160108[/C][/ROW]
[ROW][C]S.D.[/C][C]2.57836331252999[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.356316565898788[/C][/ROW]
[ROW][C]p-value[/C][C]0.739603261854047[/C][/ROW]
[ROW][C]Lambda[/C][C]1.91871356116011[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6761&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6761&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)
alpha14.2645704675353
beta-0.918713561160108
S.D.2.57836331252999
T-STAT-0.356316565898788
p-value0.739603261854047
Lambda1.91871356116011


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')