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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, 05 Aug 2011 13:47:33 -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/2011/Aug/05/t13125665081lnmxxhn7c0h2zx.htm/, Retrieved Tue, 14 May 2024 10:26:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123431, Retrieved Tue, 14 May 2024 10:26:00 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Van Vlaenderen Lynn

Estimated Impact

182

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

-       [Standard Deviation-Mean Plot] [tijdreeksB-stap21] [2011-08-05 17:47:33] [d08a5fa9e4c562ec79e796d78c067f4f] [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	'AstonUniversity' @ aston.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 & 1 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123431&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123431&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123431&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	'AstonUniversity' @ aston.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1047.5	83.0160627027485	200
2	1040	36.5148371670111	80
3	1010	47.6095228569523	100
4	1075	144.798710859823	310
5	1025	94.6924847422786	230
6	1015	89.628864398325	190
7	1097.5	151.739909054935	360
8	1062.5	83.815273071201	200
9	1005	77.2442015083764	180
10	1095	104.721853816033	230
11	1097.5	65.5108133567785	160
12	977.5	90.3234926989282	210
13	1100	140.712472794703	300
14	1040	84.0634680861233	200
15	985	114.74609652039	280
16	1102.5	188.745860881769	410
17	1012.5	72.7438428093173	140
18	980	164.31676725155	390
19	1065	245.696289484938	520
20	1012.5	84.2120339777319	160
21	970	140.712472794703	330
22	1090	214.631467093403	460
23	1032.5	80.5708797684788	180
24	1000	120.830459735946	270
25	1097.5	189.978068909721	420
26	1015	64.5497224367903	140
27	977.5	181.176709319934	410

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1047.5 & 83.0160627027485 & 200 \tabularnewline
2 & 1040 & 36.5148371670111 & 80 \tabularnewline
3 & 1010 & 47.6095228569523 & 100 \tabularnewline
4 & 1075 & 144.798710859823 & 310 \tabularnewline
5 & 1025 & 94.6924847422786 & 230 \tabularnewline
6 & 1015 & 89.628864398325 & 190 \tabularnewline
7 & 1097.5 & 151.739909054935 & 360 \tabularnewline
8 & 1062.5 & 83.815273071201 & 200 \tabularnewline
9 & 1005 & 77.2442015083764 & 180 \tabularnewline
10 & 1095 & 104.721853816033 & 230 \tabularnewline
11 & 1097.5 & 65.5108133567785 & 160 \tabularnewline
12 & 977.5 & 90.3234926989282 & 210 \tabularnewline
13 & 1100 & 140.712472794703 & 300 \tabularnewline
14 & 1040 & 84.0634680861233 & 200 \tabularnewline
15 & 985 & 114.74609652039 & 280 \tabularnewline
16 & 1102.5 & 188.745860881769 & 410 \tabularnewline
17 & 1012.5 & 72.7438428093173 & 140 \tabularnewline
18 & 980 & 164.31676725155 & 390 \tabularnewline
19 & 1065 & 245.696289484938 & 520 \tabularnewline
20 & 1012.5 & 84.2120339777319 & 160 \tabularnewline
21 & 970 & 140.712472794703 & 330 \tabularnewline
22 & 1090 & 214.631467093403 & 460 \tabularnewline
23 & 1032.5 & 80.5708797684788 & 180 \tabularnewline
24 & 1000 & 120.830459735946 & 270 \tabularnewline
25 & 1097.5 & 189.978068909721 & 420 \tabularnewline
26 & 1015 & 64.5497224367903 & 140 \tabularnewline
27 & 977.5 & 181.176709319934 & 410 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123431&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]1047.5[/C][C]83.0160627027485[/C][C]200[/C][/ROW]
[ROW][C]2[/C][C]1040[/C][C]36.5148371670111[/C][C]80[/C][/ROW]
[ROW][C]3[/C][C]1010[/C][C]47.6095228569523[/C][C]100[/C][/ROW]
[ROW][C]4[/C][C]1075[/C][C]144.798710859823[/C][C]310[/C][/ROW]
[ROW][C]5[/C][C]1025[/C][C]94.6924847422786[/C][C]230[/C][/ROW]
[ROW][C]6[/C][C]1015[/C][C]89.628864398325[/C][C]190[/C][/ROW]
[ROW][C]7[/C][C]1097.5[/C][C]151.739909054935[/C][C]360[/C][/ROW]
[ROW][C]8[/C][C]1062.5[/C][C]83.815273071201[/C][C]200[/C][/ROW]
[ROW][C]9[/C][C]1005[/C][C]77.2442015083764[/C][C]180[/C][/ROW]
[ROW][C]10[/C][C]1095[/C][C]104.721853816033[/C][C]230[/C][/ROW]
[ROW][C]11[/C][C]1097.5[/C][C]65.5108133567785[/C][C]160[/C][/ROW]
[ROW][C]12[/C][C]977.5[/C][C]90.3234926989282[/C][C]210[/C][/ROW]
[ROW][C]13[/C][C]1100[/C][C]140.712472794703[/C][C]300[/C][/ROW]
[ROW][C]14[/C][C]1040[/C][C]84.0634680861233[/C][C]200[/C][/ROW]
[ROW][C]15[/C][C]985[/C][C]114.74609652039[/C][C]280[/C][/ROW]
[ROW][C]16[/C][C]1102.5[/C][C]188.745860881769[/C][C]410[/C][/ROW]
[ROW][C]17[/C][C]1012.5[/C][C]72.7438428093173[/C][C]140[/C][/ROW]
[ROW][C]18[/C][C]980[/C][C]164.31676725155[/C][C]390[/C][/ROW]
[ROW][C]19[/C][C]1065[/C][C]245.696289484938[/C][C]520[/C][/ROW]
[ROW][C]20[/C][C]1012.5[/C][C]84.2120339777319[/C][C]160[/C][/ROW]
[ROW][C]21[/C][C]970[/C][C]140.712472794703[/C][C]330[/C][/ROW]
[ROW][C]22[/C][C]1090[/C][C]214.631467093403[/C][C]460[/C][/ROW]
[ROW][C]23[/C][C]1032.5[/C][C]80.5708797684788[/C][C]180[/C][/ROW]
[ROW][C]24[/C][C]1000[/C][C]120.830459735946[/C][C]270[/C][/ROW]
[ROW][C]25[/C][C]1097.5[/C][C]189.978068909721[/C][C]420[/C][/ROW]
[ROW][C]26[/C][C]1015[/C][C]64.5497224367903[/C][C]140[/C][/ROW]
[ROW][C]27[/C][C]977.5[/C][C]181.176709319934[/C][C]410[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123431&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123431&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	1047.5	83.0160627027485	200
2	1040	36.5148371670111	80
3	1010	47.6095228569523	100
4	1075	144.798710859823	310
5	1025	94.6924847422786	230
6	1015	89.628864398325	190
7	1097.5	151.739909054935	360
8	1062.5	83.815273071201	200
9	1005	77.2442015083764	180
10	1095	104.721853816033	230
11	1097.5	65.5108133567785	160
12	977.5	90.3234926989282	210
13	1100	140.712472794703	300
14	1040	84.0634680861233	200
15	985	114.74609652039	280
16	1102.5	188.745860881769	410
17	1012.5	72.7438428093173	140
18	980	164.31676725155	390
19	1065	245.696289484938	520
20	1012.5	84.2120339777319	160
21	970	140.712472794703	330
22	1090	214.631467093403	460
23	1032.5	80.5708797684788	180
24	1000	120.830459735946	270
25	1097.5	189.978068909721	420
26	1015	64.5497224367903	140
27	977.5	181.176709319934	410

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-243.893393640739
beta	0.347602328655743
S.D.	0.229994627284165
T-STAT	1.51134977699401
p-value	0.143237708904028

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -243.893393640739 \tabularnewline
beta & 0.347602328655743 \tabularnewline
S.D. & 0.229994627284165 \tabularnewline
T-STAT & 1.51134977699401 \tabularnewline
p-value & 0.143237708904028 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123431&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-243.893393640739[/C][/ROW]
[ROW][C]beta[/C][C]0.347602328655743[/C][/ROW]
[ROW][C]S.D.[/C][C]0.229994627284165[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.51134977699401[/C][/ROW]
[ROW][C]p-value[/C][C]0.143237708904028[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123431&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123431&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	-243.893393640739
beta	0.347602328655743
S.D.	0.229994627284165
T-STAT	1.51134977699401
p-value	0.143237708904028

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-13.1506159899236
beta	2.56489933111417
S.D.	2.11448219036464
T-STAT	1.21301533907545
p-value	0.236461567950054
Lambda	-1.56489933111417

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -13.1506159899236 \tabularnewline
beta & 2.56489933111417 \tabularnewline
S.D. & 2.11448219036464 \tabularnewline
T-STAT & 1.21301533907545 \tabularnewline
p-value & 0.236461567950054 \tabularnewline
Lambda & -1.56489933111417 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123431&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-13.1506159899236[/C][/ROW]
[ROW][C]beta[/C][C]2.56489933111417[/C][/ROW]
[ROW][C]S.D.[/C][C]2.11448219036464[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.21301533907545[/C][/ROW]
[ROW][C]p-value[/C][C]0.236461567950054[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.56489933111417[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123431&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123431&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	-13.1506159899236
beta	2.56489933111417
S.D.	2.11448219036464
T-STAT	1.21301533907545
p-value	0.236461567950054
Lambda	-1.56489933111417

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