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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, 09 Mar 2015 15:04:35 +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/2015/Mar/09/t142591364673g09xj9hcbj97v.htm/, Retrieved Sun, 19 May 2024 19:17:51 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278101, Retrieved Sun, 19 May 2024 19:17:51 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

156

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

-       [Standard Deviation-Mean Plot] [Afzet autodiesel] [2015-03-09 15:04:35] [642cc750ae8ad788b94759782886fa51] [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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278101&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278101&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278101&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	521.416666666667	32.809251282176	87
2	545.083333333333	35.4002011636126	93
3	556.5	31.8818842833128	91
4	561.833333333333	27.7352199241763	99
5	532.25	31.4270439416292	110
6	536.166666666667	38.8442889995272	109
7	543.25	33.8045854877707	109
8	524.333333333333	25.241860374218	83
9	506.666666666667	22.4188773270666	76

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 521.416666666667 & 32.809251282176 & 87 \tabularnewline
2 & 545.083333333333 & 35.4002011636126 & 93 \tabularnewline
3 & 556.5 & 31.8818842833128 & 91 \tabularnewline
4 & 561.833333333333 & 27.7352199241763 & 99 \tabularnewline
5 & 532.25 & 31.4270439416292 & 110 \tabularnewline
6 & 536.166666666667 & 38.8442889995272 & 109 \tabularnewline
7 & 543.25 & 33.8045854877707 & 109 \tabularnewline
8 & 524.333333333333 & 25.241860374218 & 83 \tabularnewline
9 & 506.666666666667 & 22.4188773270666 & 76 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278101&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]521.416666666667[/C][C]32.809251282176[/C][C]87[/C][/ROW]
[ROW][C]2[/C][C]545.083333333333[/C][C]35.4002011636126[/C][C]93[/C][/ROW]
[ROW][C]3[/C][C]556.5[/C][C]31.8818842833128[/C][C]91[/C][/ROW]
[ROW][C]4[/C][C]561.833333333333[/C][C]27.7352199241763[/C][C]99[/C][/ROW]
[ROW][C]5[/C][C]532.25[/C][C]31.4270439416292[/C][C]110[/C][/ROW]
[ROW][C]6[/C][C]536.166666666667[/C][C]38.8442889995272[/C][C]109[/C][/ROW]
[ROW][C]7[/C][C]543.25[/C][C]33.8045854877707[/C][C]109[/C][/ROW]
[ROW][C]8[/C][C]524.333333333333[/C][C]25.241860374218[/C][C]83[/C][/ROW]
[ROW][C]9[/C][C]506.666666666667[/C][C]22.4188773270666[/C][C]76[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278101&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278101&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	521.416666666667	32.809251282176	87
2	545.083333333333	35.4002011636126	93
3	556.5	31.8818842833128	91
4	561.833333333333	27.7352199241763	99
5	532.25	31.4270439416292	110
6	536.166666666667	38.8442889995272	109
7	543.25	33.8045854877707	109
8	524.333333333333	25.241860374218	83
9	506.666666666667	22.4188773270666	76

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-31.6972722447998
beta	0.117004383839811
S.D.	0.101685522189656
T-STAT	1.15064938764423
p-value	0.287661609955372

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -31.6972722447998 \tabularnewline
beta & 0.117004383839811 \tabularnewline
S.D. & 0.101685522189656 \tabularnewline
T-STAT & 1.15064938764423 \tabularnewline
p-value & 0.287661609955372 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278101&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-31.6972722447998[/C][/ROW]
[ROW][C]beta[/C][C]0.117004383839811[/C][/ROW]
[ROW][C]S.D.[/C][C]0.101685522189656[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.15064938764423[/C][/ROW]
[ROW][C]p-value[/C][C]0.287661609955372[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278101&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278101&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	-31.6972722447998
beta	0.117004383839811
S.D.	0.101685522189656
T-STAT	1.15064938764423
p-value	0.287661609955372

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-11.5762599904357
beta	2.38677525795974
S.D.	1.78221237561487
T-STAT	1.33922044904232
p-value	0.222348657932165
Lambda	-1.38677525795974

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.5762599904357 \tabularnewline
beta & 2.38677525795974 \tabularnewline
S.D. & 1.78221237561487 \tabularnewline
T-STAT & 1.33922044904232 \tabularnewline
p-value & 0.222348657932165 \tabularnewline
Lambda & -1.38677525795974 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278101&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.5762599904357[/C][/ROW]
[ROW][C]beta[/C][C]2.38677525795974[/C][/ROW]
[ROW][C]S.D.[/C][C]1.78221237561487[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.33922044904232[/C][/ROW]
[ROW][C]p-value[/C][C]0.222348657932165[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.38677525795974[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278101&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278101&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	-11.5762599904357
beta	2.38677525795974
S.D.	1.78221237561487
T-STAT	1.33922044904232
p-value	0.222348657932165
Lambda	-1.38677525795974

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

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