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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

Fri, 21 May 2010 13:29:07 +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/2010/May/21/t1274448562b5wkjtmqcbckjla.htm/, Retrieved Thu, 02 May 2024 22:16:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76244, Retrieved Thu, 02 May 2024 22:16:45 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

140

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

-       [Standard Deviation-Mean Plot] [] [2010-05-21 13:29:07] [00678dc233195795d92cb82a6ca36c25] [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 Ronald Aylmer Fisher' @ 193.190.124.24

\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 Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76244&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 Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76244&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76244&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 Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	188950	4214.65696508427	9300
2	191000	2946.18397253125	6000
3	202150	6958.20858171603	16700
4	202925	3821.3217608571	8100
5	200025	1840.96894777361	4500
6	210550	3255.25216637155	7000
7	208925	2426.76052932024	5500
8	209975	1965.32440070335	4200
9	211500	11598.8505177597	25400
10	227150	680.685928555405	1600
11	222700	3943.77146058609	8700
12	227875	9468.6764298572	22500
13	232975	3122.36555621962	7000
14	243200	3846.21025599659	8700
15	254875	10442.3416914024	25500
16	264125	3680.91926924059	8300
17	268750	8595.15367324323	18800
18	281575	8710.2908485691	20400
19	287700	3142.18607554253	6600
20	287825	6363.63365800808	15400
21	294450	3886.30072605471	9400
22	304500	5475.39952880153	11500
23	306875	10002.1247742667	23400
24	299175	6552.5440352075	15000
25	319300	7888.81064123949	17700
26	306150	3518.99606895679	8400
27	300875	15114.9760171824	32400
28	296925	13650.7325810742	29700
29	291250	17235.7187259482	36400
30	278575	12462.0423687291	27000
31	258350	10102.6399190179	24600
32	269575	8031.7598735686	17000
33	278275	14415.1251584346	28400

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 188950 & 4214.65696508427 & 9300 \tabularnewline
2 & 191000 & 2946.18397253125 & 6000 \tabularnewline
3 & 202150 & 6958.20858171603 & 16700 \tabularnewline
4 & 202925 & 3821.3217608571 & 8100 \tabularnewline
5 & 200025 & 1840.96894777361 & 4500 \tabularnewline
6 & 210550 & 3255.25216637155 & 7000 \tabularnewline
7 & 208925 & 2426.76052932024 & 5500 \tabularnewline
8 & 209975 & 1965.32440070335 & 4200 \tabularnewline
9 & 211500 & 11598.8505177597 & 25400 \tabularnewline
10 & 227150 & 680.685928555405 & 1600 \tabularnewline
11 & 222700 & 3943.77146058609 & 8700 \tabularnewline
12 & 227875 & 9468.6764298572 & 22500 \tabularnewline
13 & 232975 & 3122.36555621962 & 7000 \tabularnewline
14 & 243200 & 3846.21025599659 & 8700 \tabularnewline
15 & 254875 & 10442.3416914024 & 25500 \tabularnewline
16 & 264125 & 3680.91926924059 & 8300 \tabularnewline
17 & 268750 & 8595.15367324323 & 18800 \tabularnewline
18 & 281575 & 8710.2908485691 & 20400 \tabularnewline
19 & 287700 & 3142.18607554253 & 6600 \tabularnewline
20 & 287825 & 6363.63365800808 & 15400 \tabularnewline
21 & 294450 & 3886.30072605471 & 9400 \tabularnewline
22 & 304500 & 5475.39952880153 & 11500 \tabularnewline
23 & 306875 & 10002.1247742667 & 23400 \tabularnewline
24 & 299175 & 6552.5440352075 & 15000 \tabularnewline
25 & 319300 & 7888.81064123949 & 17700 \tabularnewline
26 & 306150 & 3518.99606895679 & 8400 \tabularnewline
27 & 300875 & 15114.9760171824 & 32400 \tabularnewline
28 & 296925 & 13650.7325810742 & 29700 \tabularnewline
29 & 291250 & 17235.7187259482 & 36400 \tabularnewline
30 & 278575 & 12462.0423687291 & 27000 \tabularnewline
31 & 258350 & 10102.6399190179 & 24600 \tabularnewline
32 & 269575 & 8031.7598735686 & 17000 \tabularnewline
33 & 278275 & 14415.1251584346 & 28400 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76244&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]188950[/C][C]4214.65696508427[/C][C]9300[/C][/ROW]
[ROW][C]2[/C][C]191000[/C][C]2946.18397253125[/C][C]6000[/C][/ROW]
[ROW][C]3[/C][C]202150[/C][C]6958.20858171603[/C][C]16700[/C][/ROW]
[ROW][C]4[/C][C]202925[/C][C]3821.3217608571[/C][C]8100[/C][/ROW]
[ROW][C]5[/C][C]200025[/C][C]1840.96894777361[/C][C]4500[/C][/ROW]
[ROW][C]6[/C][C]210550[/C][C]3255.25216637155[/C][C]7000[/C][/ROW]
[ROW][C]7[/C][C]208925[/C][C]2426.76052932024[/C][C]5500[/C][/ROW]
[ROW][C]8[/C][C]209975[/C][C]1965.32440070335[/C][C]4200[/C][/ROW]
[ROW][C]9[/C][C]211500[/C][C]11598.8505177597[/C][C]25400[/C][/ROW]
[ROW][C]10[/C][C]227150[/C][C]680.685928555405[/C][C]1600[/C][/ROW]
[ROW][C]11[/C][C]222700[/C][C]3943.77146058609[/C][C]8700[/C][/ROW]
[ROW][C]12[/C][C]227875[/C][C]9468.6764298572[/C][C]22500[/C][/ROW]
[ROW][C]13[/C][C]232975[/C][C]3122.36555621962[/C][C]7000[/C][/ROW]
[ROW][C]14[/C][C]243200[/C][C]3846.21025599659[/C][C]8700[/C][/ROW]
[ROW][C]15[/C][C]254875[/C][C]10442.3416914024[/C][C]25500[/C][/ROW]
[ROW][C]16[/C][C]264125[/C][C]3680.91926924059[/C][C]8300[/C][/ROW]
[ROW][C]17[/C][C]268750[/C][C]8595.15367324323[/C][C]18800[/C][/ROW]
[ROW][C]18[/C][C]281575[/C][C]8710.2908485691[/C][C]20400[/C][/ROW]
[ROW][C]19[/C][C]287700[/C][C]3142.18607554253[/C][C]6600[/C][/ROW]
[ROW][C]20[/C][C]287825[/C][C]6363.63365800808[/C][C]15400[/C][/ROW]
[ROW][C]21[/C][C]294450[/C][C]3886.30072605471[/C][C]9400[/C][/ROW]
[ROW][C]22[/C][C]304500[/C][C]5475.39952880153[/C][C]11500[/C][/ROW]
[ROW][C]23[/C][C]306875[/C][C]10002.1247742667[/C][C]23400[/C][/ROW]
[ROW][C]24[/C][C]299175[/C][C]6552.5440352075[/C][C]15000[/C][/ROW]
[ROW][C]25[/C][C]319300[/C][C]7888.81064123949[/C][C]17700[/C][/ROW]
[ROW][C]26[/C][C]306150[/C][C]3518.99606895679[/C][C]8400[/C][/ROW]
[ROW][C]27[/C][C]300875[/C][C]15114.9760171824[/C][C]32400[/C][/ROW]
[ROW][C]28[/C][C]296925[/C][C]13650.7325810742[/C][C]29700[/C][/ROW]
[ROW][C]29[/C][C]291250[/C][C]17235.7187259482[/C][C]36400[/C][/ROW]
[ROW][C]30[/C][C]278575[/C][C]12462.0423687291[/C][C]27000[/C][/ROW]
[ROW][C]31[/C][C]258350[/C][C]10102.6399190179[/C][C]24600[/C][/ROW]
[ROW][C]32[/C][C]269575[/C][C]8031.7598735686[/C][C]17000[/C][/ROW]
[ROW][C]33[/C][C]278275[/C][C]14415.1251584346[/C][C]28400[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76244&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76244&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	188950	4214.65696508427	9300
2	191000	2946.18397253125	6000
3	202150	6958.20858171603	16700
4	202925	3821.3217608571	8100
5	200025	1840.96894777361	4500
6	210550	3255.25216637155	7000
7	208925	2426.76052932024	5500
8	209975	1965.32440070335	4200
9	211500	11598.8505177597	25400
10	227150	680.685928555405	1600
11	222700	3943.77146058609	8700
12	227875	9468.6764298572	22500
13	232975	3122.36555621962	7000
14	243200	3846.21025599659	8700
15	254875	10442.3416914024	25500
16	264125	3680.91926924059	8300
17	268750	8595.15367324323	18800
18	281575	8710.2908485691	20400
19	287700	3142.18607554253	6600
20	287825	6363.63365800808	15400
21	294450	3886.30072605471	9400
22	304500	5475.39952880153	11500
23	306875	10002.1247742667	23400
24	299175	6552.5440352075	15000
25	319300	7888.81064123949	17700
26	306150	3518.99606895679	8400
27	300875	15114.9760171824	32400
28	296925	13650.7325810742	29700
29	291250	17235.7187259482	36400
30	278575	12462.0423687291	27000
31	258350	10102.6399190179	24600
32	269575	8031.7598735686	17000
33	278275	14415.1251584346	28400

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-5940.8703236501
beta	0.0504696158557215
S.D.	0.0169753686283397
T-STAT	2.97310868239200
p-value	0.00566109037554768

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -5940.8703236501 \tabularnewline
beta & 0.0504696158557215 \tabularnewline
S.D. & 0.0169753686283397 \tabularnewline
T-STAT & 2.97310868239200 \tabularnewline
p-value & 0.00566109037554768 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76244&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5940.8703236501[/C][/ROW]
[ROW][C]beta[/C][C]0.0504696158557215[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0169753686283397[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.97310868239200[/C][/ROW]
[ROW][C]p-value[/C][C]0.00566109037554768[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76244&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76244&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	-5940.8703236501
beta	0.0504696158557215
S.D.	0.0169753686283397
T-STAT	2.97310868239200
p-value	0.00566109037554768

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-18.8829451521087
beta	2.21149462988662
S.D.	0.691662175018117
T-STAT	3.19736239708162
p-value	0.00318660972405214
Lambda	-1.21149462988662

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -18.8829451521087 \tabularnewline
beta & 2.21149462988662 \tabularnewline
S.D. & 0.691662175018117 \tabularnewline
T-STAT & 3.19736239708162 \tabularnewline
p-value & 0.00318660972405214 \tabularnewline
Lambda & -1.21149462988662 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76244&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-18.8829451521087[/C][/ROW]
[ROW][C]beta[/C][C]2.21149462988662[/C][/ROW]
[ROW][C]S.D.[/C][C]0.691662175018117[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.19736239708162[/C][/ROW]
[ROW][C]p-value[/C][C]0.00318660972405214[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.21149462988662[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76244&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76244&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	-18.8829451521087
beta	2.21149462988662
S.D.	0.691662175018117
T-STAT	3.19736239708162
p-value	0.00318660972405214
Lambda	-1.21149462988662

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