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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

Thu, 08 Aug 2013 10:09:38 -0400

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/2013/Aug/08/t13759710058o7c709xy8cbj25.htm/, Retrieved Mon, 29 Apr 2024 09:41:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211005, Retrieved Mon, 29 Apr 2024 09:41:31 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Nick Hollevoet

Estimated Impact

173

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

-       [Standard Deviation-Mean Plot] [TIJDREEKS (A) - S...] [2013-08-08 14:09:38] [3f9aa5867cfe47c4a12580af2904c765] [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	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211005&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211005&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211005&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	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	84244.25	2854.9037278785	8515
2	85716.9166666667	3029.08373359858	9813
3	87953.75	2971.16448322264	9497
4	90763.0833333333	3039.96281252175	10480
5	88012	5006.36138963583	17987
6	80104.5833333333	5968.60844842465	20613
7	72059.5833333333	4908.55311876086	17667
8	61071.1666666667	6841.49067798603	24853
9	53245.5833333333	7639.31643132282	25519
10	42447.3333333333	8454.75181436003	29129

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 84244.25 & 2854.9037278785 & 8515 \tabularnewline
2 & 85716.9166666667 & 3029.08373359858 & 9813 \tabularnewline
3 & 87953.75 & 2971.16448322264 & 9497 \tabularnewline
4 & 90763.0833333333 & 3039.96281252175 & 10480 \tabularnewline
5 & 88012 & 5006.36138963583 & 17987 \tabularnewline
6 & 80104.5833333333 & 5968.60844842465 & 20613 \tabularnewline
7 & 72059.5833333333 & 4908.55311876086 & 17667 \tabularnewline
8 & 61071.1666666667 & 6841.49067798603 & 24853 \tabularnewline
9 & 53245.5833333333 & 7639.31643132282 & 25519 \tabularnewline
10 & 42447.3333333333 & 8454.75181436003 & 29129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211005&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]84244.25[/C][C]2854.9037278785[/C][C]8515[/C][/ROW]
[ROW][C]2[/C][C]85716.9166666667[/C][C]3029.08373359858[/C][C]9813[/C][/ROW]
[ROW][C]3[/C][C]87953.75[/C][C]2971.16448322264[/C][C]9497[/C][/ROW]
[ROW][C]4[/C][C]90763.0833333333[/C][C]3039.96281252175[/C][C]10480[/C][/ROW]
[ROW][C]5[/C][C]88012[/C][C]5006.36138963583[/C][C]17987[/C][/ROW]
[ROW][C]6[/C][C]80104.5833333333[/C][C]5968.60844842465[/C][C]20613[/C][/ROW]
[ROW][C]7[/C][C]72059.5833333333[/C][C]4908.55311876086[/C][C]17667[/C][/ROW]
[ROW][C]8[/C][C]61071.1666666667[/C][C]6841.49067798603[/C][C]24853[/C][/ROW]
[ROW][C]9[/C][C]53245.5833333333[/C][C]7639.31643132282[/C][C]25519[/C][/ROW]
[ROW][C]10[/C][C]42447.3333333333[/C][C]8454.75181436003[/C][C]29129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211005&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211005&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	84244.25	2854.9037278785	8515
2	85716.9166666667	3029.08373359858	9813
3	87953.75	2971.16448322264	9497
4	90763.0833333333	3039.96281252175	10480
5	88012	5006.36138963583	17987
6	80104.5833333333	5968.60844842465	20613
7	72059.5833333333	4908.55311876086	17667
8	61071.1666666667	6841.49067798603	24853
9	53245.5833333333	7639.31643132282	25519
10	42447.3333333333	8454.75181436003	29129

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	13508.419007576
beta	-0.113154410367569
S.D.	0.0185900460262944
T-STAT	-6.08682787592454
p-value	0.000293706308370133

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 13508.419007576 \tabularnewline
beta & -0.113154410367569 \tabularnewline
S.D. & 0.0185900460262944 \tabularnewline
T-STAT & -6.08682787592454 \tabularnewline
p-value & 0.000293706308370133 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211005&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13508.419007576[/C][/ROW]
[ROW][C]beta[/C][C]-0.113154410367569[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185900460262944[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08682787592454[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293706308370133[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211005&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211005&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	13508.419007576
beta	-0.113154410367569
S.D.	0.0185900460262944
T-STAT	-6.08682787592454
p-value	0.000293706308370133

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	23.9629838978818
beta	-1.38593360436334
S.D.	0.316620992411537
T-STAT	-4.37726378724103
p-value	0.00235741536780084
Lambda	2.38593360436334

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 23.9629838978818 \tabularnewline
beta & -1.38593360436334 \tabularnewline
S.D. & 0.316620992411537 \tabularnewline
T-STAT & -4.37726378724103 \tabularnewline
p-value & 0.00235741536780084 \tabularnewline
Lambda & 2.38593360436334 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211005&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]23.9629838978818[/C][/ROW]
[ROW][C]beta[/C][C]-1.38593360436334[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316620992411537[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37726378724103[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235741536780084[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38593360436334[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211005&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211005&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	23.9629838978818
beta	-1.38593360436334
S.D.	0.316620992411537
T-STAT	-4.37726378724103
p-value	0.00235741536780084
Lambda	2.38593360436334

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