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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, 03 Aug 2011 08:22:35 -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/Aug/03/t1312374206purz7b4noojzl5i.htm/, Retrieved Tue, 14 May 2024 03:42:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123323, Retrieved Tue, 14 May 2024 03:42:47 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Simons Thomas

Estimated Impact

151

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

-       [Standard Deviation-Mean Plot] [Tijdsreeks B - st...] [2011-08-03 12:22:35] [649f27debd29df6d3b5186bbc318d779] [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=123323&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=123323&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123323&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	1267.5	92.1502396451939	200
2	1302.5	28.7228132326901	60
3	1310	90.5538513813742	210
4	1225	105.987420637231	210
5	1285	31.091263510296	70
6	1277.5	108.128010555391	260
7	1202.5	135.246688191122	290
8	1277.5	59.6517672272443	130
9	1270	53.5412613473634	110
10	1177.5	122.031416719903	280
11	1297.5	47.8713553878169	100
12	1230	98.3192080250175	220
13	1172.5	99.4568583189046	230
14	1305	54.4671154612273	120
15	1252.5	116.440256498057	280
16	1167.5	123.119183449751	260
17	1307.5	57.373048260195	120
18	1240	137.35598518691	310
19	1177.5	95.3502316025854	220
20	1292.5	82.2090830342568	200
21	1212.5	151.299922890485	350
22	1152.5	117.011395456454	260
23	1312.5	128.160056179763	270
24	1242.5	173.661548229115	410
25	1187.5	168.597153000874	380
26	1312.5	126.062153982338	300
27	1240	188.148877222268	450

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1267.5 & 92.1502396451939 & 200 \tabularnewline
2 & 1302.5 & 28.7228132326901 & 60 \tabularnewline
3 & 1310 & 90.5538513813742 & 210 \tabularnewline
4 & 1225 & 105.987420637231 & 210 \tabularnewline
5 & 1285 & 31.091263510296 & 70 \tabularnewline
6 & 1277.5 & 108.128010555391 & 260 \tabularnewline
7 & 1202.5 & 135.246688191122 & 290 \tabularnewline
8 & 1277.5 & 59.6517672272443 & 130 \tabularnewline
9 & 1270 & 53.5412613473634 & 110 \tabularnewline
10 & 1177.5 & 122.031416719903 & 280 \tabularnewline
11 & 1297.5 & 47.8713553878169 & 100 \tabularnewline
12 & 1230 & 98.3192080250175 & 220 \tabularnewline
13 & 1172.5 & 99.4568583189046 & 230 \tabularnewline
14 & 1305 & 54.4671154612273 & 120 \tabularnewline
15 & 1252.5 & 116.440256498057 & 280 \tabularnewline
16 & 1167.5 & 123.119183449751 & 260 \tabularnewline
17 & 1307.5 & 57.373048260195 & 120 \tabularnewline
18 & 1240 & 137.35598518691 & 310 \tabularnewline
19 & 1177.5 & 95.3502316025854 & 220 \tabularnewline
20 & 1292.5 & 82.2090830342568 & 200 \tabularnewline
21 & 1212.5 & 151.299922890485 & 350 \tabularnewline
22 & 1152.5 & 117.011395456454 & 260 \tabularnewline
23 & 1312.5 & 128.160056179763 & 270 \tabularnewline
24 & 1242.5 & 173.661548229115 & 410 \tabularnewline
25 & 1187.5 & 168.597153000874 & 380 \tabularnewline
26 & 1312.5 & 126.062153982338 & 300 \tabularnewline
27 & 1240 & 188.148877222268 & 450 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123323&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]1267.5[/C][C]92.1502396451939[/C][C]200[/C][/ROW]
[ROW][C]2[/C][C]1302.5[/C][C]28.7228132326901[/C][C]60[/C][/ROW]
[ROW][C]3[/C][C]1310[/C][C]90.5538513813742[/C][C]210[/C][/ROW]
[ROW][C]4[/C][C]1225[/C][C]105.987420637231[/C][C]210[/C][/ROW]
[ROW][C]5[/C][C]1285[/C][C]31.091263510296[/C][C]70[/C][/ROW]
[ROW][C]6[/C][C]1277.5[/C][C]108.128010555391[/C][C]260[/C][/ROW]
[ROW][C]7[/C][C]1202.5[/C][C]135.246688191122[/C][C]290[/C][/ROW]
[ROW][C]8[/C][C]1277.5[/C][C]59.6517672272443[/C][C]130[/C][/ROW]
[ROW][C]9[/C][C]1270[/C][C]53.5412613473634[/C][C]110[/C][/ROW]
[ROW][C]10[/C][C]1177.5[/C][C]122.031416719903[/C][C]280[/C][/ROW]
[ROW][C]11[/C][C]1297.5[/C][C]47.8713553878169[/C][C]100[/C][/ROW]
[ROW][C]12[/C][C]1230[/C][C]98.3192080250175[/C][C]220[/C][/ROW]
[ROW][C]13[/C][C]1172.5[/C][C]99.4568583189046[/C][C]230[/C][/ROW]
[ROW][C]14[/C][C]1305[/C][C]54.4671154612273[/C][C]120[/C][/ROW]
[ROW][C]15[/C][C]1252.5[/C][C]116.440256498057[/C][C]280[/C][/ROW]
[ROW][C]16[/C][C]1167.5[/C][C]123.119183449751[/C][C]260[/C][/ROW]
[ROW][C]17[/C][C]1307.5[/C][C]57.373048260195[/C][C]120[/C][/ROW]
[ROW][C]18[/C][C]1240[/C][C]137.35598518691[/C][C]310[/C][/ROW]
[ROW][C]19[/C][C]1177.5[/C][C]95.3502316025854[/C][C]220[/C][/ROW]
[ROW][C]20[/C][C]1292.5[/C][C]82.2090830342568[/C][C]200[/C][/ROW]
[ROW][C]21[/C][C]1212.5[/C][C]151.299922890485[/C][C]350[/C][/ROW]
[ROW][C]22[/C][C]1152.5[/C][C]117.011395456454[/C][C]260[/C][/ROW]
[ROW][C]23[/C][C]1312.5[/C][C]128.160056179763[/C][C]270[/C][/ROW]
[ROW][C]24[/C][C]1242.5[/C][C]173.661548229115[/C][C]410[/C][/ROW]
[ROW][C]25[/C][C]1187.5[/C][C]168.597153000874[/C][C]380[/C][/ROW]
[ROW][C]26[/C][C]1312.5[/C][C]126.062153982338[/C][C]300[/C][/ROW]
[ROW][C]27[/C][C]1240[/C][C]188.148877222268[/C][C]450[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123323&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123323&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	1267.5	92.1502396451939	200
2	1302.5	28.7228132326901	60
3	1310	90.5538513813742	210
4	1225	105.987420637231	210
5	1285	31.091263510296	70
6	1277.5	108.128010555391	260
7	1202.5	135.246688191122	290
8	1277.5	59.6517672272443	130
9	1270	53.5412613473634	110
10	1177.5	122.031416719903	280
11	1297.5	47.8713553878169	100
12	1230	98.3192080250175	220
13	1172.5	99.4568583189046	230
14	1305	54.4671154612273	120
15	1252.5	116.440256498057	280
16	1167.5	123.119183449751	260
17	1307.5	57.373048260195	120
18	1240	137.35598518691	310
19	1177.5	95.3502316025854	220
20	1292.5	82.2090830342568	200
21	1212.5	151.299922890485	350
22	1152.5	117.011395456454	260
23	1312.5	128.160056179763	270
24	1242.5	173.661548229115	410
25	1187.5	168.597153000874	380
26	1312.5	126.062153982338	300
27	1240	188.148877222268	450

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	602.775877567639
beta	-0.400116938339415
S.D.	0.143016717643719
T-STAT	-2.79769347899718
p-value	0.00976243201418843

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 602.775877567639 \tabularnewline
beta & -0.400116938339415 \tabularnewline
S.D. & 0.143016717643719 \tabularnewline
T-STAT & -2.79769347899718 \tabularnewline
p-value & 0.00976243201418843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123323&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]602.775877567639[/C][/ROW]
[ROW][C]beta[/C][C]-0.400116938339415[/C][/ROW]
[ROW][C]S.D.[/C][C]0.143016717643719[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.79769347899718[/C][/ROW]
[ROW][C]p-value[/C][C]0.00976243201418843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123323&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123323&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	602.775877567639
beta	-0.400116938339415
S.D.	0.143016717643719
T-STAT	-2.79769347899718
p-value	0.00976243201418843

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	47.4216199311103
beta	-6.01588753484072
S.D.	2.03074655978773
T-STAT	-2.96240193334099
p-value	0.00660779877113166
Lambda	7.01588753484072

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 47.4216199311103 \tabularnewline
beta & -6.01588753484072 \tabularnewline
S.D. & 2.03074655978773 \tabularnewline
T-STAT & -2.96240193334099 \tabularnewline
p-value & 0.00660779877113166 \tabularnewline
Lambda & 7.01588753484072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123323&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]47.4216199311103[/C][/ROW]
[ROW][C]beta[/C][C]-6.01588753484072[/C][/ROW]
[ROW][C]S.D.[/C][C]2.03074655978773[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.96240193334099[/C][/ROW]
[ROW][C]p-value[/C][C]0.00660779877113166[/C][/ROW]
[ROW][C]Lambda[/C][C]7.01588753484072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123323&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123323&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	47.4216199311103
beta	-6.01588753484072
S.D.	2.03074655978773
T-STAT	-2.96240193334099
p-value	0.00660779877113166
Lambda	7.01588753484072

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code