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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, 12 May 2008 13:53:30 -0600

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/2008/May/12/t1210622083u4zludtq1b38zto.htm/, Retrieved Tue, 14 May 2024 00:44:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12432, Retrieved Tue, 14 May 2024 00:44:59 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

198

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

-       [Standard Deviation-Mean Plot] [Van Passen Glenn ...] [2008-05-12 19:53:30] [7568f24034461b5d7b2d183bbb217711] [Current]
-   PD    [Standard Deviation-Mean Plot] [Van Passen Glenn ...] [2008-06-01 11:46:49] [74be16979710d4c4e7c6647856088456] 

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12432&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]3 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=12432&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12432&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	11912.95	831.568046925005	1913.5
2	11230.05	1053.41489293947	2214.7
3	11323.575	1077.71145604935	2554.8
4	11492.725	664.452623718702	1398.8
5	10991.325	1006.97091442603	2152.7
6	11726.875	1163.68295617836	2783.5
7	11814.775	627.382245923488	1341.5
8	11068.2	1366.93456317411	3095.1
9	12139.725	849.350718195964	1848.4
10	12474.075	1133.77050110094	2541.3
11	12047.275	1230.47131180157	2974.6
12	13675	473.151568386565	1005.9
13	13531.075	1057.39042418903	2398.5
14	12618.05	1139.98012409574	2456.7
15	14174.175	515.224620109197	1118
16	14135.575	1363.72899647743	2909.6
17	14001.025	1338.66268436078	2865.3
18	14754.475	1115.84542350931	2346.5
19	14872.85	913.308336032617	2022.2
20	14883.95	937.576843072965	2254.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 11912.95 & 831.568046925005 & 1913.5 \tabularnewline
2 & 11230.05 & 1053.41489293947 & 2214.7 \tabularnewline
3 & 11323.575 & 1077.71145604935 & 2554.8 \tabularnewline
4 & 11492.725 & 664.452623718702 & 1398.8 \tabularnewline
5 & 10991.325 & 1006.97091442603 & 2152.7 \tabularnewline
6 & 11726.875 & 1163.68295617836 & 2783.5 \tabularnewline
7 & 11814.775 & 627.382245923488 & 1341.5 \tabularnewline
8 & 11068.2 & 1366.93456317411 & 3095.1 \tabularnewline
9 & 12139.725 & 849.350718195964 & 1848.4 \tabularnewline
10 & 12474.075 & 1133.77050110094 & 2541.3 \tabularnewline
11 & 12047.275 & 1230.47131180157 & 2974.6 \tabularnewline
12 & 13675 & 473.151568386565 & 1005.9 \tabularnewline
13 & 13531.075 & 1057.39042418903 & 2398.5 \tabularnewline
14 & 12618.05 & 1139.98012409574 & 2456.7 \tabularnewline
15 & 14174.175 & 515.224620109197 & 1118 \tabularnewline
16 & 14135.575 & 1363.72899647743 & 2909.6 \tabularnewline
17 & 14001.025 & 1338.66268436078 & 2865.3 \tabularnewline
18 & 14754.475 & 1115.84542350931 & 2346.5 \tabularnewline
19 & 14872.85 & 913.308336032617 & 2022.2 \tabularnewline
20 & 14883.95 & 937.576843072965 & 2254.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12432&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]11912.95[/C][C]831.568046925005[/C][C]1913.5[/C][/ROW]
[ROW][C]2[/C][C]11230.05[/C][C]1053.41489293947[/C][C]2214.7[/C][/ROW]
[ROW][C]3[/C][C]11323.575[/C][C]1077.71145604935[/C][C]2554.8[/C][/ROW]
[ROW][C]4[/C][C]11492.725[/C][C]664.452623718702[/C][C]1398.8[/C][/ROW]
[ROW][C]5[/C][C]10991.325[/C][C]1006.97091442603[/C][C]2152.7[/C][/ROW]
[ROW][C]6[/C][C]11726.875[/C][C]1163.68295617836[/C][C]2783.5[/C][/ROW]
[ROW][C]7[/C][C]11814.775[/C][C]627.382245923488[/C][C]1341.5[/C][/ROW]
[ROW][C]8[/C][C]11068.2[/C][C]1366.93456317411[/C][C]3095.1[/C][/ROW]
[ROW][C]9[/C][C]12139.725[/C][C]849.350718195964[/C][C]1848.4[/C][/ROW]
[ROW][C]10[/C][C]12474.075[/C][C]1133.77050110094[/C][C]2541.3[/C][/ROW]
[ROW][C]11[/C][C]12047.275[/C][C]1230.47131180157[/C][C]2974.6[/C][/ROW]
[ROW][C]12[/C][C]13675[/C][C]473.151568386565[/C][C]1005.9[/C][/ROW]
[ROW][C]13[/C][C]13531.075[/C][C]1057.39042418903[/C][C]2398.5[/C][/ROW]
[ROW][C]14[/C][C]12618.05[/C][C]1139.98012409574[/C][C]2456.7[/C][/ROW]
[ROW][C]15[/C][C]14174.175[/C][C]515.224620109197[/C][C]1118[/C][/ROW]
[ROW][C]16[/C][C]14135.575[/C][C]1363.72899647743[/C][C]2909.6[/C][/ROW]
[ROW][C]17[/C][C]14001.025[/C][C]1338.66268436078[/C][C]2865.3[/C][/ROW]
[ROW][C]18[/C][C]14754.475[/C][C]1115.84542350931[/C][C]2346.5[/C][/ROW]
[ROW][C]19[/C][C]14872.85[/C][C]913.308336032617[/C][C]2022.2[/C][/ROW]
[ROW][C]20[/C][C]14883.95[/C][C]937.576843072965[/C][C]2254.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12432&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12432&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	11912.95	831.568046925005	1913.5
2	11230.05	1053.41489293947	2214.7
3	11323.575	1077.71145604935	2554.8
4	11492.725	664.452623718702	1398.8
5	10991.325	1006.97091442603	2152.7
6	11726.875	1163.68295617836	2783.5
7	11814.775	627.382245923488	1341.5
8	11068.2	1366.93456317411	3095.1
9	12139.725	849.350718195964	1848.4
10	12474.075	1133.77050110094	2541.3
11	12047.275	1230.47131180157	2974.6
12	13675	473.151568386565	1005.9
13	13531.075	1057.39042418903	2398.5
14	12618.05	1139.98012409574	2456.7
15	14174.175	515.224620109197	1118
16	14135.575	1363.72899647743	2909.6
17	14001.025	1338.66268436078	2865.3
18	14754.475	1115.84542350931	2346.5
19	14872.85	913.308336032617	2022.2
20	14883.95	937.576843072965	2254.9

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1170.4888770294
beta	-0.0139256482550758
S.D.	0.0458596397183553
T-STAT	-0.303658038759124
p-value	0.764870458517583

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1170.4888770294 \tabularnewline
beta & -0.0139256482550758 \tabularnewline
S.D. & 0.0458596397183553 \tabularnewline
T-STAT & -0.303658038759124 \tabularnewline
p-value & 0.764870458517583 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12432&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1170.4888770294[/C][/ROW]
[ROW][C]beta[/C][C]-0.0139256482550758[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0458596397183553[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.303658038759124[/C][/ROW]
[ROW][C]p-value[/C][C]0.764870458517583[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12432&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12432&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	1170.4888770294
beta	-0.0139256482550758
S.D.	0.0458596397183553
T-STAT	-0.303658038759124
p-value	0.764870458517583

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	9.70350865082888
beta	-0.30101021148003
S.D.	0.682345480499451
T-STAT	-0.441140478075273
p-value	0.664364357437092
Lambda	1.30101021148003

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.70350865082888 \tabularnewline
beta & -0.30101021148003 \tabularnewline
S.D. & 0.682345480499451 \tabularnewline
T-STAT & -0.441140478075273 \tabularnewline
p-value & 0.664364357437092 \tabularnewline
Lambda & 1.30101021148003 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12432&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.70350865082888[/C][/ROW]
[ROW][C]beta[/C][C]-0.30101021148003[/C][/ROW]
[ROW][C]S.D.[/C][C]0.682345480499451[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.441140478075273[/C][/ROW]
[ROW][C]p-value[/C][C]0.664364357437092[/C][/ROW]
[ROW][C]Lambda[/C][C]1.30101021148003[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12432&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12432&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	9.70350865082888
beta	-0.30101021148003
S.D.	0.682345480499451
T-STAT	-0.441140478075273
p-value	0.664364357437092
Lambda	1.30101021148003

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code