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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 computationFri, 21 Nov 2014 19:31:50 +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/2014/Nov/21/t14165983323hodozc5vxo3d0p.htm/, Retrieved Sun, 19 May 2024 13:06:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257730, Retrieved Sun, 19 May 2024 13:06:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84

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] [] [2014-11-21 19:31:50] [517bf63cbd197750110a40d4d2cd39d6] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2745
1395
1550
1378
1318
1395
1483
1049
783
1208
857
48
2681
1249
1705
1472
1413
1651
1525
1095
900
1255
984
101
2655
1309
1844
1825
1629
1718
1595
1539
1513
1475
1184
211
3387
1546
1955
1899
2415
3439
1148
1127
1186
1009
817
236
2762
1035
1500
1519
1539
1452
1409
1288
987
1542
1248
1400
4190
2185
1097
1215
1236
1374
1548
1178
902

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=257730&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=257730&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257730&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
11267.41666666667625.0991860690932697
21335.91666666667604.2269980326232580
31541.41666666667556.8388796400522444
41680.33333333333990.9917285530723203
51473.41666666667446.830954070051775

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1267.41666666667 & 625.099186069093 & 2697 \tabularnewline
2 & 1335.91666666667 & 604.226998032623 & 2580 \tabularnewline
3 & 1541.41666666667 & 556.838879640052 & 2444 \tabularnewline
4 & 1680.33333333333 & 990.991728553072 & 3203 \tabularnewline
5 & 1473.41666666667 & 446.83095407005 & 1775 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257730&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]1267.41666666667[/C][C]625.099186069093[/C][C]2697[/C][/ROW]
[ROW][C]2[/C][C]1335.91666666667[/C][C]604.226998032623[/C][C]2580[/C][/ROW]
[ROW][C]3[/C][C]1541.41666666667[/C][C]556.838879640052[/C][C]2444[/C][/ROW]
[ROW][C]4[/C][C]1680.33333333333[/C][C]990.991728553072[/C][C]3203[/C][/ROW]
[ROW][C]5[/C][C]1473.41666666667[/C][C]446.83095407005[/C][C]1775[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257730&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257730&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
11267.41666666667625.0991860690932697
21335.91666666667604.2269980326232580
31541.41666666667556.8388796400522444
41680.33333333333990.9917285530723203
51473.41666666667446.830954070051775






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-374.291439418022
beta0.698149612037405
S.D.0.599438374215991
T-STAT1.16467287058577
p-value0.328346496550416

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -374.291439418022 \tabularnewline
beta & 0.698149612037405 \tabularnewline
S.D. & 0.599438374215991 \tabularnewline
T-STAT & 1.16467287058577 \tabularnewline
p-value & 0.328346496550416 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257730&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-374.291439418022[/C][/ROW]
[ROW][C]beta[/C][C]0.698149612037405[/C][/ROW]
[ROW][C]S.D.[/C][C]0.599438374215991[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.16467287058577[/C][/ROW]
[ROW][C]p-value[/C][C]0.328346496550416[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257730&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257730&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-374.291439418022
beta0.698149612037405
S.D.0.599438374215991
T-STAT1.16467287058577
p-value0.328346496550416






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.9663726221129
beta1.15361313903711
S.D.1.33978660784875
T-STAT0.861042446818768
p-value0.452534571743796
Lambda-0.153613139037108

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.9663726221129 \tabularnewline
beta & 1.15361313903711 \tabularnewline
S.D. & 1.33978660784875 \tabularnewline
T-STAT & 0.861042446818768 \tabularnewline
p-value & 0.452534571743796 \tabularnewline
Lambda & -0.153613139037108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257730&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.9663726221129[/C][/ROW]
[ROW][C]beta[/C][C]1.15361313903711[/C][/ROW]
[ROW][C]S.D.[/C][C]1.33978660784875[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.861042446818768[/C][/ROW]
[ROW][C]p-value[/C][C]0.452534571743796[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.153613139037108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257730&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257730&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-1.9663726221129
beta1.15361313903711
S.D.1.33978660784875
T-STAT0.861042446818768
p-value0.452534571743796
Lambda-0.153613139037108


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')