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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, 25 Apr 2016 09:56:06 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/25/t1461574663l2bigdh8zq2jpq9.htm/, Retrieved Mon, 06 May 2024 02:37:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294665, Retrieved Mon, 06 May 2024 02:37:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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] [] [2016-04-25 08:56:06] [133a6e874753017b0ae749fb238aa045] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
110030
104009
99772
96301
97680
121563
134210
133111
124527
117589
115699
117830
115874
111267
107985
102185
102101
128932
135782
136971
126292
119260
117359
119818
116059
110046
104100
97981
97527
123700
129678
130790
120961
114232
110518
110959
108443
103977
97126
90860
91959
113735
119713
121905
112442
106728
104906

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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294665&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294665&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294665&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1116832.2512753.499021658938251
2116752.2511650.766663224735573
3108331.91666666711373.572617402734370
4113807.83333333313012.066706319137909
5118486.511741.911192584734870
6114617.511109.179615402433263
7106896.0833333339882.0582826410831045

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 116832.25 & 12753.4990216589 & 38251 \tabularnewline
2 & 116752.25 & 11650.7666632247 & 35573 \tabularnewline
3 & 108331.916666667 & 11373.5726174027 & 34370 \tabularnewline
4 & 113807.833333333 & 13012.0667063191 & 37909 \tabularnewline
5 & 118486.5 & 11741.9111925847 & 34870 \tabularnewline
6 & 114617.5 & 11109.1796154024 & 33263 \tabularnewline
7 & 106896.083333333 & 9882.05828264108 & 31045 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294665&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]116832.25[/C][C]12753.4990216589[/C][C]38251[/C][/ROW]
[ROW][C]2[/C][C]116752.25[/C][C]11650.7666632247[/C][C]35573[/C][/ROW]
[ROW][C]3[/C][C]108331.916666667[/C][C]11373.5726174027[/C][C]34370[/C][/ROW]
[ROW][C]4[/C][C]113807.833333333[/C][C]13012.0667063191[/C][C]37909[/C][/ROW]
[ROW][C]5[/C][C]118486.5[/C][C]11741.9111925847[/C][C]34870[/C][/ROW]
[ROW][C]6[/C][C]114617.5[/C][C]11109.1796154024[/C][C]33263[/C][/ROW]
[ROW][C]7[/C][C]106896.083333333[/C][C]9882.05828264108[/C][C]31045[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294665&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294665&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
1116832.2512753.499021658938251
2116752.2511650.766663224735573
3108331.91666666711373.572617402734370
4113807.83333333313012.066706319137909
5118486.511741.911192584734870
6114617.511109.179615402433263
7106896.0833333339882.0582826410831045






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-4790.50344452361
beta0.144593514853216
S.D.0.0834523762517712
T-STAT1.73264706587845
p-value0.143700332146823

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -4790.50344452361 \tabularnewline
beta & 0.144593514853216 \tabularnewline
S.D. & 0.0834523762517712 \tabularnewline
T-STAT & 1.73264706587845 \tabularnewline
p-value & 0.143700332146823 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294665&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4790.50344452361[/C][/ROW]
[ROW][C]beta[/C][C]0.144593514853216[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0834523762517712[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.73264706587845[/C][/ROW]
[ROW][C]p-value[/C][C]0.143700332146823[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294665&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294665&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-4790.50344452361
beta0.144593514853216
S.D.0.0834523762517712
T-STAT1.73264706587845
p-value0.143700332146823






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-7.82779737203211
beta1.4764895979112
S.D.0.800107224195295
T-STAT1.84536466271277
p-value0.124287240073766
Lambda-0.4764895979112

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.82779737203211 \tabularnewline
beta & 1.4764895979112 \tabularnewline
S.D. & 0.800107224195295 \tabularnewline
T-STAT & 1.84536466271277 \tabularnewline
p-value & 0.124287240073766 \tabularnewline
Lambda & -0.4764895979112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294665&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.82779737203211[/C][/ROW]
[ROW][C]beta[/C][C]1.4764895979112[/C][/ROW]
[ROW][C]S.D.[/C][C]0.800107224195295[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.84536466271277[/C][/ROW]
[ROW][C]p-value[/C][C]0.124287240073766[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.4764895979112[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294665&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294665&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-7.82779737203211
beta1.4764895979112
S.D.0.800107224195295
T-STAT1.84536466271277
p-value0.124287240073766
Lambda-0.4764895979112


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')