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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 09:26:10 -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/t1210606037j8x4fkqw4mb0v5l.htm/, Retrieved Tue, 14 May 2024 11:58:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12368, Retrieved Tue, 14 May 2024 11:58:47 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

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] [Aantal inschrijvi...] [2008-05-12 15:26:10] [235a0481b0541f964d64501abed039db] [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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12368&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12368&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12368&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	35495.5	928.511532866806	2068
2	22747	3989.70483452932	9536
3	18716.5	5622.82944788476	13047
4	28538	2434.60674442506	5409
5	21508.5	2447.50995912172	5754
6	19833	4235.71780614967	9768
7	31471	3705.63381893031	8409
8	20634.75	3379.82034778971	6782
9	19031	3793.03950238679	8975
10	27728	2004.24000558815	4152
11	21537.25	4150.63090585837	9074
12	17161.5	4349.65121207053	9087
13	30783.25	3160.02693817632	7341
14	21478	4501.68390716185	9408
15	16487.25	4992.29448750772	11628
16	28546.25	2725.01392962801	5265
17	22496	3481.91939405074	7090
18	19438	4983.23241815323	12038

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 35495.5 & 928.511532866806 & 2068 \tabularnewline
2 & 22747 & 3989.70483452932 & 9536 \tabularnewline
3 & 18716.5 & 5622.82944788476 & 13047 \tabularnewline
4 & 28538 & 2434.60674442506 & 5409 \tabularnewline
5 & 21508.5 & 2447.50995912172 & 5754 \tabularnewline
6 & 19833 & 4235.71780614967 & 9768 \tabularnewline
7 & 31471 & 3705.63381893031 & 8409 \tabularnewline
8 & 20634.75 & 3379.82034778971 & 6782 \tabularnewline
9 & 19031 & 3793.03950238679 & 8975 \tabularnewline
10 & 27728 & 2004.24000558815 & 4152 \tabularnewline
11 & 21537.25 & 4150.63090585837 & 9074 \tabularnewline
12 & 17161.5 & 4349.65121207053 & 9087 \tabularnewline
13 & 30783.25 & 3160.02693817632 & 7341 \tabularnewline
14 & 21478 & 4501.68390716185 & 9408 \tabularnewline
15 & 16487.25 & 4992.29448750772 & 11628 \tabularnewline
16 & 28546.25 & 2725.01392962801 & 5265 \tabularnewline
17 & 22496 & 3481.91939405074 & 7090 \tabularnewline
18 & 19438 & 4983.23241815323 & 12038 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12368&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]35495.5[/C][C]928.511532866806[/C][C]2068[/C][/ROW]
[ROW][C]2[/C][C]22747[/C][C]3989.70483452932[/C][C]9536[/C][/ROW]
[ROW][C]3[/C][C]18716.5[/C][C]5622.82944788476[/C][C]13047[/C][/ROW]
[ROW][C]4[/C][C]28538[/C][C]2434.60674442506[/C][C]5409[/C][/ROW]
[ROW][C]5[/C][C]21508.5[/C][C]2447.50995912172[/C][C]5754[/C][/ROW]
[ROW][C]6[/C][C]19833[/C][C]4235.71780614967[/C][C]9768[/C][/ROW]
[ROW][C]7[/C][C]31471[/C][C]3705.63381893031[/C][C]8409[/C][/ROW]
[ROW][C]8[/C][C]20634.75[/C][C]3379.82034778971[/C][C]6782[/C][/ROW]
[ROW][C]9[/C][C]19031[/C][C]3793.03950238679[/C][C]8975[/C][/ROW]
[ROW][C]10[/C][C]27728[/C][C]2004.24000558815[/C][C]4152[/C][/ROW]
[ROW][C]11[/C][C]21537.25[/C][C]4150.63090585837[/C][C]9074[/C][/ROW]
[ROW][C]12[/C][C]17161.5[/C][C]4349.65121207053[/C][C]9087[/C][/ROW]
[ROW][C]13[/C][C]30783.25[/C][C]3160.02693817632[/C][C]7341[/C][/ROW]
[ROW][C]14[/C][C]21478[/C][C]4501.68390716185[/C][C]9408[/C][/ROW]
[ROW][C]15[/C][C]16487.25[/C][C]4992.29448750772[/C][C]11628[/C][/ROW]
[ROW][C]16[/C][C]28546.25[/C][C]2725.01392962801[/C][C]5265[/C][/ROW]
[ROW][C]17[/C][C]22496[/C][C]3481.91939405074[/C][C]7090[/C][/ROW]
[ROW][C]18[/C][C]19438[/C][C]4983.23241815323[/C][C]12038[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12368&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12368&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	35495.5	928.511532866806	2068
2	22747	3989.70483452932	9536
3	18716.5	5622.82944788476	13047
4	28538	2434.60674442506	5409
5	21508.5	2447.50995912172	5754
6	19833	4235.71780614967	9768
7	31471	3705.63381893031	8409
8	20634.75	3379.82034778971	6782
9	19031	3793.03950238679	8975
10	27728	2004.24000558815	4152
11	21537.25	4150.63090585837	9074
12	17161.5	4349.65121207053	9087
13	30783.25	3160.02693817632	7341
14	21478	4501.68390716185	9408
15	16487.25	4992.29448750772	11628
16	28546.25	2725.01392962801	5265
17	22496	3481.91939405074	7090
18	19438	4983.23241815323	12038

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	7485.9171603256
beta	-0.164908807242113
S.D.	0.0343151261572655
T-STAT	-4.80571764435133
p-value	0.000194051926780549

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7485.9171603256 \tabularnewline
beta & -0.164908807242113 \tabularnewline
S.D. & 0.0343151261572655 \tabularnewline
T-STAT & -4.80571764435133 \tabularnewline
p-value & 0.000194051926780549 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12368&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7485.9171603256[/C][/ROW]
[ROW][C]beta[/C][C]-0.164908807242113[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0343151261572655[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.80571764435133[/C][/ROW]
[ROW][C]p-value[/C][C]0.000194051926780549[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12368&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12368&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	7485.9171603256
beta	-0.164908807242113
S.D.	0.0343151261572655
T-STAT	-4.80571764435133
p-value	0.000194051926780549

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	22.3988982751722
beta	-1.42184979886898
S.D.	0.313248148429172
T-STAT	-4.53905252432952
p-value	0.000335360163804242
Lambda	2.42184979886898

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 22.3988982751722 \tabularnewline
beta & -1.42184979886898 \tabularnewline
S.D. & 0.313248148429172 \tabularnewline
T-STAT & -4.53905252432952 \tabularnewline
p-value & 0.000335360163804242 \tabularnewline
Lambda & 2.42184979886898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12368&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.3988982751722[/C][/ROW]
[ROW][C]beta[/C][C]-1.42184979886898[/C][/ROW]
[ROW][C]S.D.[/C][C]0.313248148429172[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.53905252432952[/C][/ROW]
[ROW][C]p-value[/C][C]0.000335360163804242[/C][/ROW]
[ROW][C]Lambda[/C][C]2.42184979886898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12368&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12368&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	22.3988982751722
beta	-1.42184979886898
S.D.	0.313248148429172
T-STAT	-4.53905252432952
p-value	0.000335360163804242
Lambda	2.42184979886898

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