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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 24 Nov 2014 12:47:48 +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/2014/Nov/24/t1416833307nws086wqk5eb33t.htm/, Retrieved Sun, 19 May 2024 15:58:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=258225, Retrieved Sun, 19 May 2024 15:58:10 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2014-11-24 12:47:48] [fced41568b3cc41e6659ad201d611503] [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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258225&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258225&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258225&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	303570.833333333	30775.0461068507	86280
2	246025.833333333	25363.6581310323	70390
3	202601.666666667	17263.6780202794	46910
4	175491.666666667	12019.8062556866	33300
5	183922.5	8493.84924518913	26930
6	252760	19157.7522879714	65300
7	311628.333333333	5385.77728556399	23570
8	321245	14654.6315979873	38540
9	277324.166666667	21829.4798415243	57960
10	214882.5	21306.0329164386	58870
11	173745	11956.462307434	35240
12	224553.333333333	27863.062330337	87170
13	266777.5	12787.0446688684	39160
14	259836.666666667	9198.339112266	25530
15	303186.666666667	14930.5832153843	49590
16	393649.166666667	20345.2873517245	68450

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 303570.833333333 & 30775.0461068507 & 86280 \tabularnewline
2 & 246025.833333333 & 25363.6581310323 & 70390 \tabularnewline
3 & 202601.666666667 & 17263.6780202794 & 46910 \tabularnewline
4 & 175491.666666667 & 12019.8062556866 & 33300 \tabularnewline
5 & 183922.5 & 8493.84924518913 & 26930 \tabularnewline
6 & 252760 & 19157.7522879714 & 65300 \tabularnewline
7 & 311628.333333333 & 5385.77728556399 & 23570 \tabularnewline
8 & 321245 & 14654.6315979873 & 38540 \tabularnewline
9 & 277324.166666667 & 21829.4798415243 & 57960 \tabularnewline
10 & 214882.5 & 21306.0329164386 & 58870 \tabularnewline
11 & 173745 & 11956.462307434 & 35240 \tabularnewline
12 & 224553.333333333 & 27863.062330337 & 87170 \tabularnewline
13 & 266777.5 & 12787.0446688684 & 39160 \tabularnewline
14 & 259836.666666667 & 9198.339112266 & 25530 \tabularnewline
15 & 303186.666666667 & 14930.5832153843 & 49590 \tabularnewline
16 & 393649.166666667 & 20345.2873517245 & 68450 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258225&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]303570.833333333[/C][C]30775.0461068507[/C][C]86280[/C][/ROW]
[ROW][C]2[/C][C]246025.833333333[/C][C]25363.6581310323[/C][C]70390[/C][/ROW]
[ROW][C]3[/C][C]202601.666666667[/C][C]17263.6780202794[/C][C]46910[/C][/ROW]
[ROW][C]4[/C][C]175491.666666667[/C][C]12019.8062556866[/C][C]33300[/C][/ROW]
[ROW][C]5[/C][C]183922.5[/C][C]8493.84924518913[/C][C]26930[/C][/ROW]
[ROW][C]6[/C][C]252760[/C][C]19157.7522879714[/C][C]65300[/C][/ROW]
[ROW][C]7[/C][C]311628.333333333[/C][C]5385.77728556399[/C][C]23570[/C][/ROW]
[ROW][C]8[/C][C]321245[/C][C]14654.6315979873[/C][C]38540[/C][/ROW]
[ROW][C]9[/C][C]277324.166666667[/C][C]21829.4798415243[/C][C]57960[/C][/ROW]
[ROW][C]10[/C][C]214882.5[/C][C]21306.0329164386[/C][C]58870[/C][/ROW]
[ROW][C]11[/C][C]173745[/C][C]11956.462307434[/C][C]35240[/C][/ROW]
[ROW][C]12[/C][C]224553.333333333[/C][C]27863.062330337[/C][C]87170[/C][/ROW]
[ROW][C]13[/C][C]266777.5[/C][C]12787.0446688684[/C][C]39160[/C][/ROW]
[ROW][C]14[/C][C]259836.666666667[/C][C]9198.339112266[/C][C]25530[/C][/ROW]
[ROW][C]15[/C][C]303186.666666667[/C][C]14930.5832153843[/C][C]49590[/C][/ROW]
[ROW][C]16[/C][C]393649.166666667[/C][C]20345.2873517245[/C][C]68450[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258225&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258225&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	303570.833333333	30775.0461068507	86280
2	246025.833333333	25363.6581310323	70390
3	202601.666666667	17263.6780202794	46910
4	175491.666666667	12019.8062556866	33300
5	183922.5	8493.84924518913	26930
6	252760	19157.7522879714	65300
7	311628.333333333	5385.77728556399	23570
8	321245	14654.6315979873	38540
9	277324.166666667	21829.4798415243	57960
10	214882.5	21306.0329164386	58870
11	173745	11956.462307434	35240
12	224553.333333333	27863.062330337	87170
13	266777.5	12787.0446688684	39160
14	259836.666666667	9198.339112266	25530
15	303186.666666667	14930.5832153843	49590
16	393649.166666667	20345.2873517245	68450

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	12211.606630363
beta	0.0189591284270911
S.D.	0.0313184521238399
T-STAT	0.605366074674527
p-value	0.55462287863857

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12211.606630363 \tabularnewline
beta & 0.0189591284270911 \tabularnewline
S.D. & 0.0313184521238399 \tabularnewline
T-STAT & 0.605366074674527 \tabularnewline
p-value & 0.55462287863857 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258225&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12211.606630363[/C][/ROW]
[ROW][C]beta[/C][C]0.0189591284270911[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0313184521238399[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.605366074674527[/C][/ROW]
[ROW][C]p-value[/C][C]0.55462287863857[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258225&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258225&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	12211.606630363
beta	0.0189591284270911
S.D.	0.0313184521238399
T-STAT	0.605366074674527
p-value	0.55462287863857

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.17209276345147
beta	0.279860207236045
S.D.	0.527003878885349
T-STAT	0.531040127879076
p-value	0.603714298215112
Lambda	0.720139792763955

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.17209276345147 \tabularnewline
beta & 0.279860207236045 \tabularnewline
S.D. & 0.527003878885349 \tabularnewline
T-STAT & 0.531040127879076 \tabularnewline
p-value & 0.603714298215112 \tabularnewline
Lambda & 0.720139792763955 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258225&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.17209276345147[/C][/ROW]
[ROW][C]beta[/C][C]0.279860207236045[/C][/ROW]
[ROW][C]S.D.[/C][C]0.527003878885349[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.531040127879076[/C][/ROW]
[ROW][C]p-value[/C][C]0.603714298215112[/C][/ROW]
[ROW][C]Lambda[/C][C]0.720139792763955[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258225&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258225&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	6.17209276345147
beta	0.279860207236045
S.D.	0.527003878885349
T-STAT	0.531040127879076
p-value	0.603714298215112
Lambda	0.720139792763955

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')

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Input Parameters & R Code