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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

Tue, 29 Nov 2011 14:08:34 -0500

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/Nov/29/t1322593906artqym8igxvs61g.htm/, Retrieved Thu, 18 Apr 2024 11:31:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148683, Retrieved Thu, 18 Apr 2024 11:31:25 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2011-11-29 19:08:34] [c7947c1eb3210bb9ed87c20003884d6d] [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=148683&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=148683&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148683&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	53188.75	6086.0280082059	14005
2	36187.25	6632.25654786262	13999
3	32939.5	5806.5010405005	14026
4	49529.5	3109.61621426182	6924
5	39364	7952.8384031531	16838
6	32333	7601.53866003456	16062
7	57654.25	5980.38618457593	13970
8	41685.75	8581.46294346133	17892
9	33234	8606.33049950248	20458
10	53295.75	5561.97515126896	11620
11	43044.25	7375.31112903042	16348
12	35916.25	9226.4040078823	22484
13	58405.5	2650.1210664169	5911
14	43236.5	8341.610575902	17955
15	33493.5	9290.6149240331	21335
16	48257.75	1885.37748209742	4588
17	37280.5	5690.78732104208	13779
18	34441.75	5639.39614822958	13414
19	55033	7805.44873790098	16941
20	44994	7701.71353228185	16621
21	37751.5	6182.1255514049	14370

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 53188.75 & 6086.0280082059 & 14005 \tabularnewline
2 & 36187.25 & 6632.25654786262 & 13999 \tabularnewline
3 & 32939.5 & 5806.5010405005 & 14026 \tabularnewline
4 & 49529.5 & 3109.61621426182 & 6924 \tabularnewline
5 & 39364 & 7952.8384031531 & 16838 \tabularnewline
6 & 32333 & 7601.53866003456 & 16062 \tabularnewline
7 & 57654.25 & 5980.38618457593 & 13970 \tabularnewline
8 & 41685.75 & 8581.46294346133 & 17892 \tabularnewline
9 & 33234 & 8606.33049950248 & 20458 \tabularnewline
10 & 53295.75 & 5561.97515126896 & 11620 \tabularnewline
11 & 43044.25 & 7375.31112903042 & 16348 \tabularnewline
12 & 35916.25 & 9226.4040078823 & 22484 \tabularnewline
13 & 58405.5 & 2650.1210664169 & 5911 \tabularnewline
14 & 43236.5 & 8341.610575902 & 17955 \tabularnewline
15 & 33493.5 & 9290.6149240331 & 21335 \tabularnewline
16 & 48257.75 & 1885.37748209742 & 4588 \tabularnewline
17 & 37280.5 & 5690.78732104208 & 13779 \tabularnewline
18 & 34441.75 & 5639.39614822958 & 13414 \tabularnewline
19 & 55033 & 7805.44873790098 & 16941 \tabularnewline
20 & 44994 & 7701.71353228185 & 16621 \tabularnewline
21 & 37751.5 & 6182.1255514049 & 14370 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148683&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]53188.75[/C][C]6086.0280082059[/C][C]14005[/C][/ROW]
[ROW][C]2[/C][C]36187.25[/C][C]6632.25654786262[/C][C]13999[/C][/ROW]
[ROW][C]3[/C][C]32939.5[/C][C]5806.5010405005[/C][C]14026[/C][/ROW]
[ROW][C]4[/C][C]49529.5[/C][C]3109.61621426182[/C][C]6924[/C][/ROW]
[ROW][C]5[/C][C]39364[/C][C]7952.8384031531[/C][C]16838[/C][/ROW]
[ROW][C]6[/C][C]32333[/C][C]7601.53866003456[/C][C]16062[/C][/ROW]
[ROW][C]7[/C][C]57654.25[/C][C]5980.38618457593[/C][C]13970[/C][/ROW]
[ROW][C]8[/C][C]41685.75[/C][C]8581.46294346133[/C][C]17892[/C][/ROW]
[ROW][C]9[/C][C]33234[/C][C]8606.33049950248[/C][C]20458[/C][/ROW]
[ROW][C]10[/C][C]53295.75[/C][C]5561.97515126896[/C][C]11620[/C][/ROW]
[ROW][C]11[/C][C]43044.25[/C][C]7375.31112903042[/C][C]16348[/C][/ROW]
[ROW][C]12[/C][C]35916.25[/C][C]9226.4040078823[/C][C]22484[/C][/ROW]
[ROW][C]13[/C][C]58405.5[/C][C]2650.1210664169[/C][C]5911[/C][/ROW]
[ROW][C]14[/C][C]43236.5[/C][C]8341.610575902[/C][C]17955[/C][/ROW]
[ROW][C]15[/C][C]33493.5[/C][C]9290.6149240331[/C][C]21335[/C][/ROW]
[ROW][C]16[/C][C]48257.75[/C][C]1885.37748209742[/C][C]4588[/C][/ROW]
[ROW][C]17[/C][C]37280.5[/C][C]5690.78732104208[/C][C]13779[/C][/ROW]
[ROW][C]18[/C][C]34441.75[/C][C]5639.39614822958[/C][C]13414[/C][/ROW]
[ROW][C]19[/C][C]55033[/C][C]7805.44873790098[/C][C]16941[/C][/ROW]
[ROW][C]20[/C][C]44994[/C][C]7701.71353228185[/C][C]16621[/C][/ROW]
[ROW][C]21[/C][C]37751.5[/C][C]6182.1255514049[/C][C]14370[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148683&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148683&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	53188.75	6086.0280082059	14005
2	36187.25	6632.25654786262	13999
3	32939.5	5806.5010405005	14026
4	49529.5	3109.61621426182	6924
5	39364	7952.8384031531	16838
6	32333	7601.53866003456	16062
7	57654.25	5980.38618457593	13970
8	41685.75	8581.46294346133	17892
9	33234	8606.33049950248	20458
10	53295.75	5561.97515126896	11620
11	43044.25	7375.31112903042	16348
12	35916.25	9226.4040078823	22484
13	58405.5	2650.1210664169	5911
14	43236.5	8341.610575902	17955
15	33493.5	9290.6149240331	21335
16	48257.75	1885.37748209742	4588
17	37280.5	5690.78732104208	13779
18	34441.75	5639.39614822958	13414
19	55033	7805.44873790098	16941
20	44994	7701.71353228185	16621
21	37751.5	6182.1255514049	14370

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	11476.1489992865
beta	-0.114606848815172
S.D.	0.0474929283990696
T-STAT	-2.41313502195871
p-value	0.0260820143950944

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 11476.1489992865 \tabularnewline
beta & -0.114606848815172 \tabularnewline
S.D. & 0.0474929283990696 \tabularnewline
T-STAT & -2.41313502195871 \tabularnewline
p-value & 0.0260820143950944 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148683&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11476.1489992865[/C][/ROW]
[ROW][C]beta[/C][C]-0.114606848815172[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0474929283990696[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.41313502195871[/C][/ROW]
[ROW][C]p-value[/C][C]0.0260820143950944[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148683&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148683&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	11476.1489992865
beta	-0.114606848815172
S.D.	0.0474929283990696
T-STAT	-2.41313502195871
p-value	0.0260820143950944

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	19.1147213747818
beta	-0.976191857742987
S.D.	0.426173515233185
T-STAT	-2.29059719304438
p-value	0.0335932255319695
Lambda	1.97619185774299

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 19.1147213747818 \tabularnewline
beta & -0.976191857742987 \tabularnewline
S.D. & 0.426173515233185 \tabularnewline
T-STAT & -2.29059719304438 \tabularnewline
p-value & 0.0335932255319695 \tabularnewline
Lambda & 1.97619185774299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148683&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]19.1147213747818[/C][/ROW]
[ROW][C]beta[/C][C]-0.976191857742987[/C][/ROW]
[ROW][C]S.D.[/C][C]0.426173515233185[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.29059719304438[/C][/ROW]
[ROW][C]p-value[/C][C]0.0335932255319695[/C][/ROW]
[ROW][C]Lambda[/C][C]1.97619185774299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148683&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148683&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	19.1147213747818
beta	-0.976191857742987
S.D.	0.426173515233185
T-STAT	-2.29059719304438
p-value	0.0335932255319695
Lambda	1.97619185774299

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code