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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, 18 Mar 2016 17:42:49 +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/2016/Mar/18/t1458322992qol7332zoxarrtb.htm/, Retrieved Sat, 18 May 2024 16:42:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294287, Retrieved Sat, 18 May 2024 16:42:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact65

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] [] [2016-03-18 17:42:49] [e5ae4b5dd737e4828f1ae85ef60fb5e4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87
93
89
88
90
91
91
90
90
90
88
85
91
93
94
90
91
93
93
92
92
92
94
93
95
98
98
95
97
100
100
100
98
98
98
99
97
100
104
96
99
102
101
101
99
99
101
102
103
102
104
103
103
102
101
101
103
103
103
103
103
104
98
102
103
103
102
103
102
102
103
103

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=294287&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=294287&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294287&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
189.33333333333332.103388319888288
292.33333333333331.230914909793334
3981.705605730844885
4100.0833333333332.234373344457968
5102.5833333333330.900336637378523
6102.3333333333331.497472618255256

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 89.3333333333333 & 2.10338831988828 & 8 \tabularnewline
2 & 92.3333333333333 & 1.23091490979333 & 4 \tabularnewline
3 & 98 & 1.70560573084488 & 5 \tabularnewline
4 & 100.083333333333 & 2.23437334445796 & 8 \tabularnewline
5 & 102.583333333333 & 0.90033663737852 & 3 \tabularnewline
6 & 102.333333333333 & 1.49747261825525 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294287&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]89.3333333333333[/C][C]2.10338831988828[/C][C]8[/C][/ROW]
[ROW][C]2[/C][C]92.3333333333333[/C][C]1.23091490979333[/C][C]4[/C][/ROW]
[ROW][C]3[/C][C]98[/C][C]1.70560573084488[/C][C]5[/C][/ROW]
[ROW][C]4[/C][C]100.083333333333[/C][C]2.23437334445796[/C][C]8[/C][/ROW]
[ROW][C]5[/C][C]102.583333333333[/C][C]0.90033663737852[/C][C]3[/C][/ROW]
[ROW][C]6[/C][C]102.333333333333[/C][C]1.49747261825525[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294287&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294287&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
189.33333333333332.103388319888288
292.33333333333331.230914909793334
3981.705605730844885
4100.0833333333332.234373344457968
5102.5833333333330.900336637378523
6102.3333333333331.497472618255256






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.58473667178332
beta-0.0305068331871409
S.D.0.0441054876511401
T-STAT-0.691678854759296
p-value0.52719027939916

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.58473667178332 \tabularnewline
beta & -0.0305068331871409 \tabularnewline
S.D. & 0.0441054876511401 \tabularnewline
T-STAT & -0.691678854759296 \tabularnewline
p-value & 0.52719027939916 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294287&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.58473667178332[/C][/ROW]
[ROW][C]beta[/C][C]-0.0305068331871409[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0441054876511401[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.691678854759296[/C][/ROW]
[ROW][C]p-value[/C][C]0.52719027939916[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294287&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294287&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)
alpha4.58473667178332
beta-0.0305068331871409
S.D.0.0441054876511401
T-STAT-0.691678854759296
p-value0.52719027939916






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha9.86999791526729
beta-2.06177023499892
S.D.2.820043224835
T-STAT-0.73111299034062
p-value0.505232994229595
Lambda3.06177023499892

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.86999791526729 \tabularnewline
beta & -2.06177023499892 \tabularnewline
S.D. & 2.820043224835 \tabularnewline
T-STAT & -0.73111299034062 \tabularnewline
p-value & 0.505232994229595 \tabularnewline
Lambda & 3.06177023499892 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294287&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.86999791526729[/C][/ROW]
[ROW][C]beta[/C][C]-2.06177023499892[/C][/ROW]
[ROW][C]S.D.[/C][C]2.820043224835[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.73111299034062[/C][/ROW]
[ROW][C]p-value[/C][C]0.505232994229595[/C][/ROW]
[ROW][C]Lambda[/C][C]3.06177023499892[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294287&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294287&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)
alpha9.86999791526729
beta-2.06177023499892
S.D.2.820043224835
T-STAT-0.73111299034062
p-value0.505232994229595
Lambda3.06177023499892


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')