FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 13:47:27 +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/t14165776689cf5qry0qr24q1e.htm/, Retrieved Tue, 28 May 2024 22:48:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257625, Retrieved Tue, 28 May 2024 22:48:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85

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 13:47:27] [81bcec4b91879990466572cf43afb80d] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
79.26
79.38
79.35
78.91
79.11
79.22
79.22
79.21
79.26
79.82
80.04
80.2
80.2
80.27
80.37
80.57
79.99
79.86
79.86
79.81
79.88
80.2
80.53
80.52
80.52
80.48
80.29
79.54
79.39
79.3
79.3
79.49
79.63
79.74
80.17
80.06
80.06
80.22
80.5
80.58
80.24
80.34
80.34
80.41
80.59
80.77
80.94
80.8
80.8
80.76
80.94
81.03
81.35
81.41
81.41
81.44
81.55
81.8
81.97
81.99
79.36
79.44
79.46
79.77
79.49
79.42
80.32
80.48
80.6
80.53
80.84
80.68

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257625&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257625&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257625&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
179.4150.3920227266139291.29000000000001
280.17166666666670.2863828757365760.759999999999991
379.82583333333330.4554410117144881.22
480.48250.2639257815784920.879999999999995
581.37083333333330.4229433302536631.22999999999999
680.03250.5872296283087551.48

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 79.415 & 0.392022726613929 & 1.29000000000001 \tabularnewline
2 & 80.1716666666667 & 0.286382875736576 & 0.759999999999991 \tabularnewline
3 & 79.8258333333333 & 0.455441011714488 & 1.22 \tabularnewline
4 & 80.4825 & 0.263925781578492 & 0.879999999999995 \tabularnewline
5 & 81.3708333333333 & 0.422943330253663 & 1.22999999999999 \tabularnewline
6 & 80.0325 & 0.587229628308755 & 1.48 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257625&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]79.415[/C][C]0.392022726613929[/C][C]1.29000000000001[/C][/ROW]
[ROW][C]2[/C][C]80.1716666666667[/C][C]0.286382875736576[/C][C]0.759999999999991[/C][/ROW]
[ROW][C]3[/C][C]79.8258333333333[/C][C]0.455441011714488[/C][C]1.22[/C][/ROW]
[ROW][C]4[/C][C]80.4825[/C][C]0.263925781578492[/C][C]0.879999999999995[/C][/ROW]
[ROW][C]5[/C][C]81.3708333333333[/C][C]0.422943330253663[/C][C]1.22999999999999[/C][/ROW]
[ROW][C]6[/C][C]80.0325[/C][C]0.587229628308755[/C][C]1.48[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257625&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257625&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
179.4150.3920227266139291.29000000000001
280.17166666666670.2863828757365760.759999999999991
379.82583333333330.4554410117144881.22
480.48250.2639257815784920.879999999999995
581.37083333333330.4229433302536631.22999999999999
680.03250.5872296283087551.48






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.35212046437324
beta-0.0243191729981063
S.D.0.0877500737900568
T-STAT-0.277141339576423
p-value0.795404301509503

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.35212046437324 \tabularnewline
beta & -0.0243191729981063 \tabularnewline
S.D. & 0.0877500737900568 \tabularnewline
T-STAT & -0.277141339576423 \tabularnewline
p-value & 0.795404301509503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257625&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.35212046437324[/C][/ROW]
[ROW][C]beta[/C][C]-0.0243191729981063[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0877500737900568[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.277141339576423[/C][/ROW]
[ROW][C]p-value[/C][C]0.795404301509503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257625&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257625&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)
alpha2.35212046437324
beta-0.0243191729981063
S.D.0.0877500737900568
T-STAT-0.277141339576423
p-value0.795404301509503






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha20.7865153264307
beta-4.95729146208127
S.D.17.7885990056828
T-STAT-0.278678015086944
p-value0.794305600990146
Lambda5.95729146208127

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 20.7865153264307 \tabularnewline
beta & -4.95729146208127 \tabularnewline
S.D. & 17.7885990056828 \tabularnewline
T-STAT & -0.278678015086944 \tabularnewline
p-value & 0.794305600990146 \tabularnewline
Lambda & 5.95729146208127 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257625&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]20.7865153264307[/C][/ROW]
[ROW][C]beta[/C][C]-4.95729146208127[/C][/ROW]
[ROW][C]S.D.[/C][C]17.7885990056828[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.278678015086944[/C][/ROW]
[ROW][C]p-value[/C][C]0.794305600990146[/C][/ROW]
[ROW][C]Lambda[/C][C]5.95729146208127[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257625&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257625&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)
alpha20.7865153264307
beta-4.95729146208127
S.D.17.7885990056828
T-STAT-0.278678015086944
p-value0.794305600990146
Lambda5.95729146208127


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')