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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

Wed, 20 Jul 2011 09:07:19 -0400

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/Jul/20/t1311167274n1j4m4t9crpzkwm.htm/, Retrieved Thu, 16 May 2024 20:55:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123094, Retrieved Thu, 16 May 2024 20:55:22 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Lynn Pelgrims

Estimated Impact

229

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

-       [Standard Deviation-Mean Plot] [Tijdreeks B - Sta...] [2011-07-20 13:07:19] [cedc01334dbefab590f7f4b747b64ab1] [Current]

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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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123094&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123094&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123094&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1193.33333333333	70.8989891794422	210
2	1228.33333333333	86.3519928355256	230
3	1210	63.8748776906852	130
4	1223.33333333333	103.666130759601	270
5	1216.66666666667	105.577775439089	260
6	1238.33333333333	107.966044044721	280
7	1190	139.140217047409	390
8	1225	153.460092532228	420
9	1185	189.81570008827	530
10	1270	155.56349186104	430
11	1156.66666666667	203.829994521578	540
12	1258.33333333333	163.757951460888	460
13	1128.33333333333	225.691529895711	580
14	1290	196.773982019982	540
15	1105	275.88040887312	700
16	1351.66666666667	170.342791648683	480
17	1103.33333333333	241.467734214463	610
18	1351.66666666667	153.286224647444	430

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1193.33333333333 & 70.8989891794422 & 210 \tabularnewline
2 & 1228.33333333333 & 86.3519928355256 & 230 \tabularnewline
3 & 1210 & 63.8748776906852 & 130 \tabularnewline
4 & 1223.33333333333 & 103.666130759601 & 270 \tabularnewline
5 & 1216.66666666667 & 105.577775439089 & 260 \tabularnewline
6 & 1238.33333333333 & 107.966044044721 & 280 \tabularnewline
7 & 1190 & 139.140217047409 & 390 \tabularnewline
8 & 1225 & 153.460092532228 & 420 \tabularnewline
9 & 1185 & 189.81570008827 & 530 \tabularnewline
10 & 1270 & 155.56349186104 & 430 \tabularnewline
11 & 1156.66666666667 & 203.829994521578 & 540 \tabularnewline
12 & 1258.33333333333 & 163.757951460888 & 460 \tabularnewline
13 & 1128.33333333333 & 225.691529895711 & 580 \tabularnewline
14 & 1290 & 196.773982019982 & 540 \tabularnewline
15 & 1105 & 275.88040887312 & 700 \tabularnewline
16 & 1351.66666666667 & 170.342791648683 & 480 \tabularnewline
17 & 1103.33333333333 & 241.467734214463 & 610 \tabularnewline
18 & 1351.66666666667 & 153.286224647444 & 430 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123094&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]1193.33333333333[/C][C]70.8989891794422[/C][C]210[/C][/ROW]
[ROW][C]2[/C][C]1228.33333333333[/C][C]86.3519928355256[/C][C]230[/C][/ROW]
[ROW][C]3[/C][C]1210[/C][C]63.8748776906852[/C][C]130[/C][/ROW]
[ROW][C]4[/C][C]1223.33333333333[/C][C]103.666130759601[/C][C]270[/C][/ROW]
[ROW][C]5[/C][C]1216.66666666667[/C][C]105.577775439089[/C][C]260[/C][/ROW]
[ROW][C]6[/C][C]1238.33333333333[/C][C]107.966044044721[/C][C]280[/C][/ROW]
[ROW][C]7[/C][C]1190[/C][C]139.140217047409[/C][C]390[/C][/ROW]
[ROW][C]8[/C][C]1225[/C][C]153.460092532228[/C][C]420[/C][/ROW]
[ROW][C]9[/C][C]1185[/C][C]189.81570008827[/C][C]530[/C][/ROW]
[ROW][C]10[/C][C]1270[/C][C]155.56349186104[/C][C]430[/C][/ROW]
[ROW][C]11[/C][C]1156.66666666667[/C][C]203.829994521578[/C][C]540[/C][/ROW]
[ROW][C]12[/C][C]1258.33333333333[/C][C]163.757951460888[/C][C]460[/C][/ROW]
[ROW][C]13[/C][C]1128.33333333333[/C][C]225.691529895711[/C][C]580[/C][/ROW]
[ROW][C]14[/C][C]1290[/C][C]196.773982019982[/C][C]540[/C][/ROW]
[ROW][C]15[/C][C]1105[/C][C]275.88040887312[/C][C]700[/C][/ROW]
[ROW][C]16[/C][C]1351.66666666667[/C][C]170.342791648683[/C][C]480[/C][/ROW]
[ROW][C]17[/C][C]1103.33333333333[/C][C]241.467734214463[/C][C]610[/C][/ROW]
[ROW][C]18[/C][C]1351.66666666667[/C][C]153.286224647444[/C][C]430[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123094&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123094&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	1193.33333333333	70.8989891794422	210
2	1228.33333333333	86.3519928355256	230
3	1210	63.8748776906852	130
4	1223.33333333333	103.666130759601	270
5	1216.66666666667	105.577775439089	260
6	1238.33333333333	107.966044044721	280
7	1190	139.140217047409	390
8	1225	153.460092532228	420
9	1185	189.81570008827	530
10	1270	155.56349186104	430
11	1156.66666666667	203.829994521578	540
12	1258.33333333333	163.757951460888	460
13	1128.33333333333	225.691529895711	580
14	1290	196.773982019982	540
15	1105	275.88040887312	700
16	1351.66666666667	170.342791648683	480
17	1103.33333333333	241.467734214463	610
18	1351.66666666667	153.286224647444	430

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	544.704916750318
beta	-0.319149034104714
S.D.	0.193500682316626
T-STAT	-1.64934319757327
p-value	0.118569042314173

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 544.704916750318 \tabularnewline
beta & -0.319149034104714 \tabularnewline
S.D. & 0.193500682316626 \tabularnewline
T-STAT & -1.64934319757327 \tabularnewline
p-value & 0.118569042314173 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123094&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]544.704916750318[/C][/ROW]
[ROW][C]beta[/C][C]-0.319149034104714[/C][/ROW]
[ROW][C]S.D.[/C][C]0.193500682316626[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.64934319757327[/C][/ROW]
[ROW][C]p-value[/C][C]0.118569042314173[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123094&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123094&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	544.704916750318
beta	-0.319149034104714
S.D.	0.193500682316626
T-STAT	-1.64934319757327
p-value	0.118569042314173

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	19.0177720186245
beta	-1.97718204437322
S.D.	1.72063567891552
T-STAT	-1.14909975923514
p-value	0.267403381168593
Lambda	2.97718204437322

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 19.0177720186245 \tabularnewline
beta & -1.97718204437322 \tabularnewline
S.D. & 1.72063567891552 \tabularnewline
T-STAT & -1.14909975923514 \tabularnewline
p-value & 0.267403381168593 \tabularnewline
Lambda & 2.97718204437322 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123094&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]19.0177720186245[/C][/ROW]
[ROW][C]beta[/C][C]-1.97718204437322[/C][/ROW]
[ROW][C]S.D.[/C][C]1.72063567891552[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.14909975923514[/C][/ROW]
[ROW][C]p-value[/C][C]0.267403381168593[/C][/ROW]
[ROW][C]Lambda[/C][C]2.97718204437322[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123094&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123094&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	19.0177720186245
beta	-1.97718204437322
S.D.	1.72063567891552
T-STAT	-1.14909975923514
p-value	0.267403381168593
Lambda	2.97718204437322

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 6 ;

Parameters (R input):

par1 = 6 ;

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