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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 14 Aug 2017 17:14:22 +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/Aug/14/t1502723808h4zy1wm059xl3e9.htm/, Retrieved Mon, 13 May 2024 19:09:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307237, Retrieved Mon, 13 May 2024 19:09:11 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

102

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

-       [Standard Deviation-Mean Plot] [aantal verkochte ...] [2017-08-14 15:14:22] [ff90ea2d7baa48124a9630d5b785d73f] [Current]

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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=307237&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=307237&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307237&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	40658.3333333333	5069.41960696835	18900
2	39608.3333333333	6913.28869685482	25200
3	37916.6666666667	7419.11944460617	24500
4	38266.6666666667	8126.87274454698	30100
5	37975	9603.13632480177	32200
6	39083.3333333333	9666.51515032771	32200
7	39841.6666666667	9464.5230714335	35000
8	40308.3333333333	10167.9047929644	35000
9	40016.6666666667	11091.4244788349	39200

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 40658.3333333333 & 5069.41960696835 & 18900 \tabularnewline
2 & 39608.3333333333 & 6913.28869685482 & 25200 \tabularnewline
3 & 37916.6666666667 & 7419.11944460617 & 24500 \tabularnewline
4 & 38266.6666666667 & 8126.87274454698 & 30100 \tabularnewline
5 & 37975 & 9603.13632480177 & 32200 \tabularnewline
6 & 39083.3333333333 & 9666.51515032771 & 32200 \tabularnewline
7 & 39841.6666666667 & 9464.5230714335 & 35000 \tabularnewline
8 & 40308.3333333333 & 10167.9047929644 & 35000 \tabularnewline
9 & 40016.6666666667 & 11091.4244788349 & 39200 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307237&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]40658.3333333333[/C][C]5069.41960696835[/C][C]18900[/C][/ROW]
[ROW][C]2[/C][C]39608.3333333333[/C][C]6913.28869685482[/C][C]25200[/C][/ROW]
[ROW][C]3[/C][C]37916.6666666667[/C][C]7419.11944460617[/C][C]24500[/C][/ROW]
[ROW][C]4[/C][C]38266.6666666667[/C][C]8126.87274454698[/C][C]30100[/C][/ROW]
[ROW][C]5[/C][C]37975[/C][C]9603.13632480177[/C][C]32200[/C][/ROW]
[ROW][C]6[/C][C]39083.3333333333[/C][C]9666.51515032771[/C][C]32200[/C][/ROW]
[ROW][C]7[/C][C]39841.6666666667[/C][C]9464.5230714335[/C][C]35000[/C][/ROW]
[ROW][C]8[/C][C]40308.3333333333[/C][C]10167.9047929644[/C][C]35000[/C][/ROW]
[ROW][C]9[/C][C]40016.6666666667[/C][C]11091.4244788349[/C][C]39200[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307237&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307237&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	40658.3333333333	5069.41960696835	18900
2	39608.3333333333	6913.28869685482	25200
3	37916.6666666667	7419.11944460617	24500
4	38266.6666666667	8126.87274454698	30100
5	37975	9603.13632480177	32200
6	39083.3333333333	9666.51515032771	32200
7	39841.6666666667	9464.5230714335	35000
8	40308.3333333333	10167.9047929644	35000
9	40016.6666666667	11091.4244788349	39200

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	12835.9986497207
beta	-0.107448317059866
S.D.	0.688757001617609
T-STAT	-0.156003230177717
p-value	0.88043412050898

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12835.9986497207 \tabularnewline
beta & -0.107448317059866 \tabularnewline
S.D. & 0.688757001617609 \tabularnewline
T-STAT & -0.156003230177717 \tabularnewline
p-value & 0.88043412050898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307237&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12835.9986497207[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059866[/C][/ROW]
[ROW][C]S.D.[/C][C]0.688757001617609[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177717[/C][/ROW]
[ROW][C]p-value[/C][C]0.88043412050898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307237&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307237&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	12835.9986497207
beta	-0.107448317059866
S.D.	0.688757001617609
T-STAT	-0.156003230177717
p-value	0.88043412050898

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	22.7500176376188
beta	-1.29633550728137
S.D.	3.45582772786266
T-STAT	-0.375115778147633
p-value	0.718681736243571
Lambda	2.29633550728137

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 22.7500176376188 \tabularnewline
beta & -1.29633550728137 \tabularnewline
S.D. & 3.45582772786266 \tabularnewline
T-STAT & -0.375115778147633 \tabularnewline
p-value & 0.718681736243571 \tabularnewline
Lambda & 2.29633550728137 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307237&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.7500176376188[/C][/ROW]
[ROW][C]beta[/C][C]-1.29633550728137[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45582772786266[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115778147633[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681736243571[/C][/ROW]
[ROW][C]Lambda[/C][C]2.29633550728137[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307237&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307237&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	22.7500176376188
beta	-1.29633550728137
S.D.	3.45582772786266
T-STAT	-0.375115778147633
p-value	0.718681736243571
Lambda	2.29633550728137

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code