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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, 09 May 2011 13:48:18 +0000

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/2011/May/09/t1304948722ffqj4opavohq7a5.htm/, Retrieved Mon, 13 May 2024 23:33:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121269, Retrieved Mon, 13 May 2024 23:33:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

136

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

-       [Standard Deviation-Mean Plot] [Mean plot eigen c...] [2011-05-09 13:48:18] [164acd287bf1b95108b808ea4c161e74] [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	'George Udny Yule' @ 216.218.223.82

\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 & 'George Udny Yule' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121269&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]'George Udny Yule' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121269&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121269&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	'George Udny Yule' @ 216.218.223.82

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	47808.25	16106.7114660318	36861
2	33639.75	10494.1473649204	25105
3	29992.75	14948.2302046095	34792
4	48890.75	14675.7216148531	32474
5	39741.5	6559.0061493085	15003
6	31206.5	12514.7722179298	26744
7	50121.25	13791.5299217793	30587
8	43229.75	6049.47939220117	13672
9	32249	15738.6372345257	33117
10	51922.75	11428.5791293873	26428
11	43149.5	4433.91508714364	8797
12	29880.5	16179.8270386305	34575
13	39208	11865.7640574329	26507
14	31899	3390.63248770295	7966
15	26175.75	12483.6798627915	27259
16	46048	12132.6613458603	26057
17	40607.25	6929.05878047901	14503
18	34452.75	16074.7109123824	35117

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 47808.25 & 16106.7114660318 & 36861 \tabularnewline
2 & 33639.75 & 10494.1473649204 & 25105 \tabularnewline
3 & 29992.75 & 14948.2302046095 & 34792 \tabularnewline
4 & 48890.75 & 14675.7216148531 & 32474 \tabularnewline
5 & 39741.5 & 6559.0061493085 & 15003 \tabularnewline
6 & 31206.5 & 12514.7722179298 & 26744 \tabularnewline
7 & 50121.25 & 13791.5299217793 & 30587 \tabularnewline
8 & 43229.75 & 6049.47939220117 & 13672 \tabularnewline
9 & 32249 & 15738.6372345257 & 33117 \tabularnewline
10 & 51922.75 & 11428.5791293873 & 26428 \tabularnewline
11 & 43149.5 & 4433.91508714364 & 8797 \tabularnewline
12 & 29880.5 & 16179.8270386305 & 34575 \tabularnewline
13 & 39208 & 11865.7640574329 & 26507 \tabularnewline
14 & 31899 & 3390.63248770295 & 7966 \tabularnewline
15 & 26175.75 & 12483.6798627915 & 27259 \tabularnewline
16 & 46048 & 12132.6613458603 & 26057 \tabularnewline
17 & 40607.25 & 6929.05878047901 & 14503 \tabularnewline
18 & 34452.75 & 16074.7109123824 & 35117 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121269&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]47808.25[/C][C]16106.7114660318[/C][C]36861[/C][/ROW]
[ROW][C]2[/C][C]33639.75[/C][C]10494.1473649204[/C][C]25105[/C][/ROW]
[ROW][C]3[/C][C]29992.75[/C][C]14948.2302046095[/C][C]34792[/C][/ROW]
[ROW][C]4[/C][C]48890.75[/C][C]14675.7216148531[/C][C]32474[/C][/ROW]
[ROW][C]5[/C][C]39741.5[/C][C]6559.0061493085[/C][C]15003[/C][/ROW]
[ROW][C]6[/C][C]31206.5[/C][C]12514.7722179298[/C][C]26744[/C][/ROW]
[ROW][C]7[/C][C]50121.25[/C][C]13791.5299217793[/C][C]30587[/C][/ROW]
[ROW][C]8[/C][C]43229.75[/C][C]6049.47939220117[/C][C]13672[/C][/ROW]
[ROW][C]9[/C][C]32249[/C][C]15738.6372345257[/C][C]33117[/C][/ROW]
[ROW][C]10[/C][C]51922.75[/C][C]11428.5791293873[/C][C]26428[/C][/ROW]
[ROW][C]11[/C][C]43149.5[/C][C]4433.91508714364[/C][C]8797[/C][/ROW]
[ROW][C]12[/C][C]29880.5[/C][C]16179.8270386305[/C][C]34575[/C][/ROW]
[ROW][C]13[/C][C]39208[/C][C]11865.7640574329[/C][C]26507[/C][/ROW]
[ROW][C]14[/C][C]31899[/C][C]3390.63248770295[/C][C]7966[/C][/ROW]
[ROW][C]15[/C][C]26175.75[/C][C]12483.6798627915[/C][C]27259[/C][/ROW]
[ROW][C]16[/C][C]46048[/C][C]12132.6613458603[/C][C]26057[/C][/ROW]
[ROW][C]17[/C][C]40607.25[/C][C]6929.05878047901[/C][C]14503[/C][/ROW]
[ROW][C]18[/C][C]34452.75[/C][C]16074.7109123824[/C][C]35117[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121269&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121269&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	47808.25	16106.7114660318	36861
2	33639.75	10494.1473649204	25105
3	29992.75	14948.2302046095	34792
4	48890.75	14675.7216148531	32474
5	39741.5	6559.0061493085	15003
6	31206.5	12514.7722179298	26744
7	50121.25	13791.5299217793	30587
8	43229.75	6049.47939220117	13672
9	32249	15738.6372345257	33117
10	51922.75	11428.5791293873	26428
11	43149.5	4433.91508714364	8797
12	29880.5	16179.8270386305	34575
13	39208	11865.7640574329	26507
14	31899	3390.63248770295	7966
15	26175.75	12483.6798627915	27259
16	46048	12132.6613458603	26057
17	40607.25	6929.05878047901	14503
18	34452.75	16074.7109123824	35117

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	12973.8679325365
beta	-0.0396053236150301
S.D.	0.131602517619584
T-STAT	-0.300946549742421
p-value	0.767330856545273

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12973.8679325365 \tabularnewline
beta & -0.0396053236150301 \tabularnewline
S.D. & 0.131602517619584 \tabularnewline
T-STAT & -0.300946549742421 \tabularnewline
p-value & 0.767330856545273 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121269&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12973.8679325365[/C][/ROW]
[ROW][C]beta[/C][C]-0.0396053236150301[/C][/ROW]
[ROW][C]S.D.[/C][C]0.131602517619584[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.300946549742421[/C][/ROW]
[ROW][C]p-value[/C][C]0.767330856545273[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121269&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121269&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	12973.8679325365
beta	-0.0396053236150301
S.D.	0.131602517619584
T-STAT	-0.300946549742421
p-value	0.767330856545273

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	10.8180681561076
beta	-0.148204112672973
S.D.	0.568664639250128
T-STAT	-0.260617774420444
p-value	0.79771174902074
Lambda	1.14820411267297

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.8180681561076 \tabularnewline
beta & -0.148204112672973 \tabularnewline
S.D. & 0.568664639250128 \tabularnewline
T-STAT & -0.260617774420444 \tabularnewline
p-value & 0.79771174902074 \tabularnewline
Lambda & 1.14820411267297 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121269&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.8180681561076[/C][/ROW]
[ROW][C]beta[/C][C]-0.148204112672973[/C][/ROW]
[ROW][C]S.D.[/C][C]0.568664639250128[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.260617774420444[/C][/ROW]
[ROW][C]p-value[/C][C]0.79771174902074[/C][/ROW]
[ROW][C]Lambda[/C][C]1.14820411267297[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121269&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121269&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	10.8180681561076
beta	-0.148204112672973
S.D.	0.568664639250128
T-STAT	-0.260617774420444
p-value	0.79771174902074
Lambda	1.14820411267297

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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