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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 04 Dec 2009 08:12:52 -0700

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/2009/Dec/04/t1259939655odku5brpuplvwqe.htm/, Retrieved Sat, 27 Apr 2024 16:33:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63733, Retrieved Sat, 27 Apr 2024 16:33:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

126

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [WS 9 lambda] [2009-12-04 15:12:52] [51118f1042b56b16d340924f16263174] [Current]
- R  D        [Standard Deviation-Mean Plot] [ws9 lambda] [2009-12-04 18:49:03] [95cead3ebb75668735f848316249436a] 

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Dataseries X:

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Histogram

Boxplots

100
96,21064363
96,31280765
107,1793443
114,9066592
92,56060184
114,9995356
107,1236185
117,7765394
107,3650971
106,2970187
114,5072908
98,0031578
103,0649206
100,2879168
104,6066685
111,1544534
104,9874617
109,9284852
111,5352466
132,4974459
100,3436426
123,0983561
114,2379493
104,569518
109,0833101
106,9843039
133,6769759
124,8537197
122,5132349
116,8013374
116,0118882
129,7575926
125,1973623
143,7912139
127,9465032
130,2962757
108,4424631
129,3675118
143,6797622
131,8844618
117,6186496
118,9560695
104,8202842
134,624315
140,401226
143,8005015
153,4317823
153,2924677
127,3149438
153,5525216
136,9276493
131,7730101
144,3391845
107,4208229
113,6249652
124,2221603
102,0618557
96,36853348
111,6838488

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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63733&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63733&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63733&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	106.269929726667	8.42832049379785	25.21593756
2	109.478808708333	10.1349992414289	34.4942881
3	121.765580008333	11.6140119823458	39.2216959
4	129.776941891667	14.8742047311013	48.6114981
5	125.215163615	19.4116256634291	57.18398812

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 106.269929726667 & 8.42832049379785 & 25.21593756 \tabularnewline
2 & 109.478808708333 & 10.1349992414289 & 34.4942881 \tabularnewline
3 & 121.765580008333 & 11.6140119823458 & 39.2216959 \tabularnewline
4 & 129.776941891667 & 14.8742047311013 & 48.6114981 \tabularnewline
5 & 125.215163615 & 19.4116256634291 & 57.18398812 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63733&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]106.269929726667[/C][C]8.42832049379785[/C][C]25.21593756[/C][/ROW]
[ROW][C]2[/C][C]109.478808708333[/C][C]10.1349992414289[/C][C]34.4942881[/C][/ROW]
[ROW][C]3[/C][C]121.765580008333[/C][C]11.6140119823458[/C][C]39.2216959[/C][/ROW]
[ROW][C]4[/C][C]129.776941891667[/C][C]14.8742047311013[/C][C]48.6114981[/C][/ROW]
[ROW][C]5[/C][C]125.215163615[/C][C]19.4116256634291[/C][C]57.18398812[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63733&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63733&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	106.269929726667	8.42832049379785	25.21593756
2	109.478808708333	10.1349992414289	34.4942881
3	121.765580008333	11.6140119823458	39.2216959
4	129.776941891667	14.8742047311013	48.6114981
5	125.215163615	19.4116256634291	57.18398812

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-27.5989092216089
beta	0.341697068650233
S.D.	0.148197290984679
T-STAT	2.30569038327130
p-value	0.104442283244601

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -27.5989092216089 \tabularnewline
beta & 0.341697068650233 \tabularnewline
S.D. & 0.148197290984679 \tabularnewline
T-STAT & 2.30569038327130 \tabularnewline
p-value & 0.104442283244601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63733&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-27.5989092216089[/C][/ROW]
[ROW][C]beta[/C][C]0.341697068650233[/C][/ROW]
[ROW][C]S.D.[/C][C]0.148197290984679[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.30569038327130[/C][/ROW]
[ROW][C]p-value[/C][C]0.104442283244601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63733&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63733&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	-27.5989092216089
beta	0.341697068650233
S.D.	0.148197290984679
T-STAT	2.30569038327130
p-value	0.104442283244601

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-12.9153709017525
beta	3.23316232717456
S.D.	1.11764312821636
T-STAT	2.89283962433908
p-value	0.0628674487869382
Lambda	-2.23316232717456

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.9153709017525 \tabularnewline
beta & 3.23316232717456 \tabularnewline
S.D. & 1.11764312821636 \tabularnewline
T-STAT & 2.89283962433908 \tabularnewline
p-value & 0.0628674487869382 \tabularnewline
Lambda & -2.23316232717456 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63733&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.9153709017525[/C][/ROW]
[ROW][C]beta[/C][C]3.23316232717456[/C][/ROW]
[ROW][C]S.D.[/C][C]1.11764312821636[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.89283962433908[/C][/ROW]
[ROW][C]p-value[/C][C]0.0628674487869382[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.23316232717456[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63733&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63733&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	-12.9153709017525
beta	3.23316232717456
S.D.	1.11764312821636
T-STAT	2.89283962433908
p-value	0.0628674487869382
Lambda	-2.23316232717456

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