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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, 09 Aug 2016 12:25:34 +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/Aug/09/t147074197841kt552aov7lqq2.htm/, Retrieved Thu, 16 May 2024 02:58:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296132, Retrieved Thu, 16 May 2024 02:58:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [omzet lego technique] [2016-08-08 19:25:41] [74be16979710d4c4e7c6647856088456]
- RMPD  [Harrell-Davis Quantiles] [Harrel-Davis quan...] [2016-08-08 22:07:37] [4c392b130fccc63297597dd6ffb6df17]
- RM D    [(Partial) Autocorrelation Function] [partial autocorre...] [2016-08-09 10:29:16] [4c392b130fccc63297597dd6ffb6df17]
- RM D        [Standard Deviation-Mean Plot] [standard deviatio...] [2016-08-09 11:25:34] [d7adcc7732e5b057da1b42af54844e1a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2421.21
2378.63
2336.00
2250.79
3113.00
3070.38
2421.21
1990.13
2032.71
2032.71
2075.33
2165.17
1904.92
1644.25
1430.79
1430.79
2250.79
2336.00
1686.83
952.46
1340.96
1340.96
1644.25
1819.29
1776.67
1340.96
1559.04
1473.42
2207.79
2032.71
1340.96
824.25
1298.33
1430.79
1559.04
1729.46
1383.54
1084.92
1213.17
1255.75
2378.63
2378.63
1729.46
1644.25
1904.92
1776.67
2122.58
2553.67
2639.29
2032.71
1861.88
1686.83
2856.96
2942.58
2724.50
2942.58
2899.54
2553.67
2942.58
3373.67
3548.71
3027.79
2681.88
2942.58
4065.42
4411.33
4326.13
4496.50
4453.92
4022.83
4757.21
4932.25
5188.29
4411.33
4108.04
4453.92
5278.13
6012.50
5837.46
5837.46
5923.08
5624.00
6401.42
6401.42
6268.96
5534.17
5666.63
5752.25
6315.79
7050.17
6529.21
6789.92
6571.83
6444.00
7439.08
7221.00
6917.71
6486.63
6917.71
7135.79
7396.04
7741.92
7396.04
7609.50
7349.21
7306.63
8386.88
8476.71
8130.83
7524.29
8041.00
8258.67
8519.33
8907.83
8519.33
8822.63
8690.17
8216.04
9211.08
9211.08

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296132&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296132&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296132&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'George Udny Yule' @ yule.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12357.2725376.8216054200761122.87
21648.52416666667393.1532103035271383.54
31547.785362.6804494191951383.54
41785.51583333333495.9221424314381468.75
52621.39916666667506.3788511392041686.84
63972.2125748.9710148066182250.37
75456.42083333333777.5568698927592293.38
86465.25083333333607.2956157268561904.91
97426.73083333333577.3016825079541990.08
108504.35666666667500.5651408219121686.79

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2357.2725 & 376.821605420076 & 1122.87 \tabularnewline
2 & 1648.52416666667 & 393.153210303527 & 1383.54 \tabularnewline
3 & 1547.785 & 362.680449419195 & 1383.54 \tabularnewline
4 & 1785.51583333333 & 495.922142431438 & 1468.75 \tabularnewline
5 & 2621.39916666667 & 506.378851139204 & 1686.84 \tabularnewline
6 & 3972.2125 & 748.971014806618 & 2250.37 \tabularnewline
7 & 5456.42083333333 & 777.556869892759 & 2293.38 \tabularnewline
8 & 6465.25083333333 & 607.295615726856 & 1904.91 \tabularnewline
9 & 7426.73083333333 & 577.301682507954 & 1990.08 \tabularnewline
10 & 8504.35666666667 & 500.565140821912 & 1686.79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296132&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]2357.2725[/C][C]376.821605420076[/C][C]1122.87[/C][/ROW]
[ROW][C]2[/C][C]1648.52416666667[/C][C]393.153210303527[/C][C]1383.54[/C][/ROW]
[ROW][C]3[/C][C]1547.785[/C][C]362.680449419195[/C][C]1383.54[/C][/ROW]
[ROW][C]4[/C][C]1785.51583333333[/C][C]495.922142431438[/C][C]1468.75[/C][/ROW]
[ROW][C]5[/C][C]2621.39916666667[/C][C]506.378851139204[/C][C]1686.84[/C][/ROW]
[ROW][C]6[/C][C]3972.2125[/C][C]748.971014806618[/C][C]2250.37[/C][/ROW]
[ROW][C]7[/C][C]5456.42083333333[/C][C]777.556869892759[/C][C]2293.38[/C][/ROW]
[ROW][C]8[/C][C]6465.25083333333[/C][C]607.295615726856[/C][C]1904.91[/C][/ROW]
[ROW][C]9[/C][C]7426.73083333333[/C][C]577.301682507954[/C][C]1990.08[/C][/ROW]
[ROW][C]10[/C][C]8504.35666666667[/C][C]500.565140821912[/C][C]1686.79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296132&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296132&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
12357.2725376.8216054200761122.87
21648.52416666667393.1532103035271383.54
31547.785362.6804494191951383.54
41785.51583333333495.9221424314381468.75
52621.39916666667506.3788511392041686.84
63972.2125748.9710148066182250.37
75456.42083333333777.5568698927592293.38
86465.25083333333607.2956157268561904.91
97426.73083333333577.3016825079541990.08
108504.35666666667500.5651408219121686.79






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha421.016070012809
beta0.0271981128289723
S.D.0.0172378378606551
T-STAT1.57781463364679
p-value0.153260201309165

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 421.016070012809 \tabularnewline
beta & 0.0271981128289723 \tabularnewline
S.D. & 0.0172378378606551 \tabularnewline
T-STAT & 1.57781463364679 \tabularnewline
p-value & 0.153260201309165 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296132&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]421.016070012809[/C][/ROW]
[ROW][C]beta[/C][C]0.0271981128289723[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0172378378606551[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.57781463364679[/C][/ROW]
[ROW][C]p-value[/C][C]0.153260201309165[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296132&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296132&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)
alpha421.016070012809
beta0.0271981128289723
S.D.0.0172378378606551
T-STAT1.57781463364679
p-value0.153260201309165






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.0667454195951
beta0.267764514972284
S.D.0.109133052726643
T-STAT2.45356020272778
p-value0.0397156031550331
Lambda0.732235485027716

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.0667454195951 \tabularnewline
beta & 0.267764514972284 \tabularnewline
S.D. & 0.109133052726643 \tabularnewline
T-STAT & 2.45356020272778 \tabularnewline
p-value & 0.0397156031550331 \tabularnewline
Lambda & 0.732235485027716 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296132&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.0667454195951[/C][/ROW]
[ROW][C]beta[/C][C]0.267764514972284[/C][/ROW]
[ROW][C]S.D.[/C][C]0.109133052726643[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.45356020272778[/C][/ROW]
[ROW][C]p-value[/C][C]0.0397156031550331[/C][/ROW]
[ROW][C]Lambda[/C][C]0.732235485027716[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296132&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296132&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)
alpha4.0667454195951
beta0.267764514972284
S.D.0.109133052726643
T-STAT2.45356020272778
p-value0.0397156031550331
Lambda0.732235485027716


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')