Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 04 Sep 2017 16:13:53 +0200

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Sep/04/t15045344558gcwjwolfb43bxr.htm/, Retrieved Thu, 16 May 2024 00:19:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307580, Retrieved Thu, 16 May 2024 00:19:36 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

159

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Standard Deviation-Mean Plot] [] [2017-09-04 14:13:53] [862c2bbb722fdc3c62dece8e2749f4b3] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307580&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307580&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307580&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	6596.33333333333	294.829174988234	1051
2	7120.16666666667	257.851202099665	793
3	7303.83333333333	211.550481116461	785
4	7145.33333333333	278.254407245447	762
5	7619.5	193.981020627371	619
6	7828.83333333333	246.54847700838	794
7	7957.66666666667	206.450228795458	599
8	8201.16666666667	219.022553148937	711
9	8259.08333333333	185.926895865178	541
10	8372.58333333333	346.388499266708	1026
11	8413.2	377.028115662479	926
12	NaN	NA	-Inf

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6596.33333333333 & 294.829174988234 & 1051 \tabularnewline
2 & 7120.16666666667 & 257.851202099665 & 793 \tabularnewline
3 & 7303.83333333333 & 211.550481116461 & 785 \tabularnewline
4 & 7145.33333333333 & 278.254407245447 & 762 \tabularnewline
5 & 7619.5 & 193.981020627371 & 619 \tabularnewline
6 & 7828.83333333333 & 246.54847700838 & 794 \tabularnewline
7 & 7957.66666666667 & 206.450228795458 & 599 \tabularnewline
8 & 8201.16666666667 & 219.022553148937 & 711 \tabularnewline
9 & 8259.08333333333 & 185.926895865178 & 541 \tabularnewline
10 & 8372.58333333333 & 346.388499266708 & 1026 \tabularnewline
11 & 8413.2 & 377.028115662479 & 926 \tabularnewline
12 & NaN & NA & -Inf \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307580&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]6596.33333333333[/C][C]294.829174988234[/C][C]1051[/C][/ROW]
[ROW][C]2[/C][C]7120.16666666667[/C][C]257.851202099665[/C][C]793[/C][/ROW]
[ROW][C]3[/C][C]7303.83333333333[/C][C]211.550481116461[/C][C]785[/C][/ROW]
[ROW][C]4[/C][C]7145.33333333333[/C][C]278.254407245447[/C][C]762[/C][/ROW]
[ROW][C]5[/C][C]7619.5[/C][C]193.981020627371[/C][C]619[/C][/ROW]
[ROW][C]6[/C][C]7828.83333333333[/C][C]246.54847700838[/C][C]794[/C][/ROW]
[ROW][C]7[/C][C]7957.66666666667[/C][C]206.450228795458[/C][C]599[/C][/ROW]
[ROW][C]8[/C][C]8201.16666666667[/C][C]219.022553148937[/C][C]711[/C][/ROW]
[ROW][C]9[/C][C]8259.08333333333[/C][C]185.926895865178[/C][C]541[/C][/ROW]
[ROW][C]10[/C][C]8372.58333333333[/C][C]346.388499266708[/C][C]1026[/C][/ROW]
[ROW][C]11[/C][C]8413.2[/C][C]377.028115662479[/C][C]926[/C][/ROW]
[ROW][C]12[/C][C]NaN[/C][C]NA[/C][C]-Inf[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307580&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307580&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	6596.33333333333	294.829174988234	1051
2	7120.16666666667	257.851202099665	793
3	7303.83333333333	211.550481116461	785
4	7145.33333333333	278.254407245447	762
5	7619.5	193.981020627371	619
6	7828.83333333333	246.54847700838	794
7	7957.66666666667	206.450228795458	599
8	8201.16666666667	219.022553148937	711
9	8259.08333333333	185.926895865178	541
10	8372.58333333333	346.388499266708	1026
11	8413.2	377.028115662479	926
12	NaN	NA	-Inf

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	167.574614975842
beta	0.0114894684846448
S.D.	0.0345369046383005
T-STAT	0.332672212665616
p-value	0.746999604475699

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 167.574614975842 \tabularnewline
beta & 0.0114894684846448 \tabularnewline
S.D. & 0.0345369046383005 \tabularnewline
T-STAT & 0.332672212665616 \tabularnewline
p-value & 0.746999604475699 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307580&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]167.574614975842[/C][/ROW]
[ROW][C]beta[/C][C]0.0114894684846448[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0345369046383005[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.332672212665616[/C][/ROW]
[ROW][C]p-value[/C][C]0.746999604475699[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307580&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307580&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	167.574614975842
beta	0.0114894684846448
S.D.	0.0345369046383005
T-STAT	0.332672212665616
p-value	0.746999604475699

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	5.01409450015986
beta	0.0565573822964264
S.D.	0.978892147221378
T-STAT	0.0577769292122392
p-value	0.955188769125242
Lambda	0.943442617703574

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.01409450015986 \tabularnewline
beta & 0.0565573822964264 \tabularnewline
S.D. & 0.978892147221378 \tabularnewline
T-STAT & 0.0577769292122392 \tabularnewline
p-value & 0.955188769125242 \tabularnewline
Lambda & 0.943442617703574 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307580&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.01409450015986[/C][/ROW]
[ROW][C]beta[/C][C]0.0565573822964264[/C][/ROW]
[ROW][C]S.D.[/C][C]0.978892147221378[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0577769292122392[/C][/ROW]
[ROW][C]p-value[/C][C]0.955188769125242[/C][/ROW]
[ROW][C]Lambda[/C][C]0.943442617703574[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307580&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307580&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	5.01409450015986
beta	0.0565573822964264
S.D.	0.978892147221378
T-STAT	0.0577769292122392
p-value	0.955188769125242
Lambda	0.943442617703574

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code