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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 computationWed, 09 Jan 2013 12:29:23 -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/2013/Jan/09/t1357752665g9hivtwmjn4cty4.htm/, Retrieved Mon, 29 Apr 2024 09:45:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205115, Retrieved Mon, 29 Apr 2024 09:45:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:37:25] [251e6916fe5b161c77205c1c19032f50]
- R P   [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:42:15] [251e6916fe5b161c77205c1c19032f50]
-   P     [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:45:46] [251e6916fe5b161c77205c1c19032f50]
- RMPD      [Blocked Bootstrap Plot - Central Tendency] [niet werkende wer...] [2013-01-09 16:05:30] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Standard Deviation-Mean Plot] [niet werkende wer...] [2013-01-09 17:29:23] [3e2b14d12dd0cca2f2b67dfbdf2cdaf9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614
116566
111272
104609
101802
94542
93051
124129
130374
123946
114971
105531
104919
104782
101281
94545
93248
84031
87486
115867
120327
117008
108811
104519
106758
109337
109078
108293
106534
99197
103493
130676
137448
134704
123725
118277
121225
120528
118240
112514
107304
100001
102082
130455
135574
132540
119920
112454
109415
109843
106365
102304
97968
92462
92286
120092
126656
124144
114045
108120
105698
111203

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205115&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205115&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205115&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
112637514399.970302999739209
211047611848.35498363337323
3103221.91666666711618.330090134936296
4116832.2512753.499021658938251
5116752.2511650.766663224735573
6108331.91666666711373.572617402734370

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 126375 & 14399.9703029997 & 39209 \tabularnewline
2 & 110476 & 11848.354983633 & 37323 \tabularnewline
3 & 103221.916666667 & 11618.3300901349 & 36296 \tabularnewline
4 & 116832.25 & 12753.4990216589 & 38251 \tabularnewline
5 & 116752.25 & 11650.7666632247 & 35573 \tabularnewline
6 & 108331.916666667 & 11373.5726174027 & 34370 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205115&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]126375[/C][C]14399.9703029997[/C][C]39209[/C][/ROW]
[ROW][C]2[/C][C]110476[/C][C]11848.354983633[/C][C]37323[/C][/ROW]
[ROW][C]3[/C][C]103221.916666667[/C][C]11618.3300901349[/C][C]36296[/C][/ROW]
[ROW][C]4[/C][C]116832.25[/C][C]12753.4990216589[/C][C]38251[/C][/ROW]
[ROW][C]5[/C][C]116752.25[/C][C]11650.7666632247[/C][C]35573[/C][/ROW]
[ROW][C]6[/C][C]108331.916666667[/C][C]11373.5726174027[/C][C]34370[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205115&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205115&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
112637514399.970302999739209
211047611848.35498363337323
3103221.91666666711618.330090134936296
4116832.2512753.499021658938251
5116752.2511650.766663224735573
6108331.91666666711373.572617402734370






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1424.20376088004
beta0.120514665299263
S.D.0.0368402013833924
T-STAT3.27128139298368
p-value0.0307520281113268

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1424.20376088004 \tabularnewline
beta & 0.120514665299263 \tabularnewline
S.D. & 0.0368402013833924 \tabularnewline
T-STAT & 3.27128139298368 \tabularnewline
p-value & 0.0307520281113268 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205115&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1424.20376088004[/C][/ROW]
[ROW][C]beta[/C][C]0.120514665299263[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0368402013833924[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.27128139298368[/C][/ROW]
[ROW][C]p-value[/C][C]0.0307520281113268[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205115&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205115&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-1424.20376088004
beta0.120514665299263
S.D.0.0368402013833924
T-STAT3.27128139298368
p-value0.0307520281113268






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.88259598684113
beta1.05632141185423
S.D.0.341461367903546
T-STAT3.09353124876082
p-value0.036449138711091
Lambda-0.0563214118542341

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.88259598684113 \tabularnewline
beta & 1.05632141185423 \tabularnewline
S.D. & 0.341461367903546 \tabularnewline
T-STAT & 3.09353124876082 \tabularnewline
p-value & 0.036449138711091 \tabularnewline
Lambda & -0.0563214118542341 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205115&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.88259598684113[/C][/ROW]
[ROW][C]beta[/C][C]1.05632141185423[/C][/ROW]
[ROW][C]S.D.[/C][C]0.341461367903546[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.09353124876082[/C][/ROW]
[ROW][C]p-value[/C][C]0.036449138711091[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0563214118542341[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205115&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205115&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-2.88259598684113
beta1.05632141185423
S.D.0.341461367903546
T-STAT3.09353124876082
p-value0.036449138711091
Lambda-0.0563214118542341


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')