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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, 01 Jun 2009 15:25:10 -0600

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/Jun/01/t1243891577om1ly35c2stiled.htm/, Retrieved Mon, 13 May 2024 10:14:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41114, Retrieved Mon, 13 May 2024 10:14:13 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

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

-     [Standard Deviation-Mean Plot] [Wim gabriels opg8...] [2009-05-28 21:47:26] [74be16979710d4c4e7c6647856088456]
-    D  [Standard Deviation-Mean Plot] [Gabriels Wim OPG ...] [2009-06-01 21:20:47] [74be16979710d4c4e7c6647856088456]
-   P       [Standard Deviation-Mean Plot] [Gabriels wim OPG ...] [2009-06-01 21:25:10] [d41d8cd98f00b204e9800998ecf8427e] [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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41114&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41114&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41114&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	494.083333333333	186.999979743963	698
2	410.333333333333	147.339023611492	530
3	397.75	131.641472464901	502
4	442.5	55.1073332853095	198
5	445.666666666667	154.069248499930	594
6	438.416666666667	55.1946280873145	189
7	358.583333333333	119.317344874410	459
8	432.416666666667	65.2010294583164	201
9	351.916666666667	169.657654401355	475
10	385.833333333333	137.122926491878	531
11	347.583333333333	61.5296799532674	206
12	429.75	56.6554578932243	177
13	380.5	126.818051482501	472
14	319.666666666667	159.080501824096	488
15	342.416666666667	75.9047948339753	225
16	393.916666666667	63.3955236924692	179
17	372.666666666667	30.2755026482808	99
18	321.833333333333	105.381414036074	390
19	392.25	56.1428777965	178
20	316.166666666667	112.068025878225	430
21	340.333333333333	37.7608102121603	127
22	327	109.413311472018	419

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 494.083333333333 & 186.999979743963 & 698 \tabularnewline
2 & 410.333333333333 & 147.339023611492 & 530 \tabularnewline
3 & 397.75 & 131.641472464901 & 502 \tabularnewline
4 & 442.5 & 55.1073332853095 & 198 \tabularnewline
5 & 445.666666666667 & 154.069248499930 & 594 \tabularnewline
6 & 438.416666666667 & 55.1946280873145 & 189 \tabularnewline
7 & 358.583333333333 & 119.317344874410 & 459 \tabularnewline
8 & 432.416666666667 & 65.2010294583164 & 201 \tabularnewline
9 & 351.916666666667 & 169.657654401355 & 475 \tabularnewline
10 & 385.833333333333 & 137.122926491878 & 531 \tabularnewline
11 & 347.583333333333 & 61.5296799532674 & 206 \tabularnewline
12 & 429.75 & 56.6554578932243 & 177 \tabularnewline
13 & 380.5 & 126.818051482501 & 472 \tabularnewline
14 & 319.666666666667 & 159.080501824096 & 488 \tabularnewline
15 & 342.416666666667 & 75.9047948339753 & 225 \tabularnewline
16 & 393.916666666667 & 63.3955236924692 & 179 \tabularnewline
17 & 372.666666666667 & 30.2755026482808 & 99 \tabularnewline
18 & 321.833333333333 & 105.381414036074 & 390 \tabularnewline
19 & 392.25 & 56.1428777965 & 178 \tabularnewline
20 & 316.166666666667 & 112.068025878225 & 430 \tabularnewline
21 & 340.333333333333 & 37.7608102121603 & 127 \tabularnewline
22 & 327 & 109.413311472018 & 419 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41114&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]494.083333333333[/C][C]186.999979743963[/C][C]698[/C][/ROW]
[ROW][C]2[/C][C]410.333333333333[/C][C]147.339023611492[/C][C]530[/C][/ROW]
[ROW][C]3[/C][C]397.75[/C][C]131.641472464901[/C][C]502[/C][/ROW]
[ROW][C]4[/C][C]442.5[/C][C]55.1073332853095[/C][C]198[/C][/ROW]
[ROW][C]5[/C][C]445.666666666667[/C][C]154.069248499930[/C][C]594[/C][/ROW]
[ROW][C]6[/C][C]438.416666666667[/C][C]55.1946280873145[/C][C]189[/C][/ROW]
[ROW][C]7[/C][C]358.583333333333[/C][C]119.317344874410[/C][C]459[/C][/ROW]
[ROW][C]8[/C][C]432.416666666667[/C][C]65.2010294583164[/C][C]201[/C][/ROW]
[ROW][C]9[/C][C]351.916666666667[/C][C]169.657654401355[/C][C]475[/C][/ROW]
[ROW][C]10[/C][C]385.833333333333[/C][C]137.122926491878[/C][C]531[/C][/ROW]
[ROW][C]11[/C][C]347.583333333333[/C][C]61.5296799532674[/C][C]206[/C][/ROW]
[ROW][C]12[/C][C]429.75[/C][C]56.6554578932243[/C][C]177[/C][/ROW]
[ROW][C]13[/C][C]380.5[/C][C]126.818051482501[/C][C]472[/C][/ROW]
[ROW][C]14[/C][C]319.666666666667[/C][C]159.080501824096[/C][C]488[/C][/ROW]
[ROW][C]15[/C][C]342.416666666667[/C][C]75.9047948339753[/C][C]225[/C][/ROW]
[ROW][C]16[/C][C]393.916666666667[/C][C]63.3955236924692[/C][C]179[/C][/ROW]
[ROW][C]17[/C][C]372.666666666667[/C][C]30.2755026482808[/C][C]99[/C][/ROW]
[ROW][C]18[/C][C]321.833333333333[/C][C]105.381414036074[/C][C]390[/C][/ROW]
[ROW][C]19[/C][C]392.25[/C][C]56.1428777965[/C][C]178[/C][/ROW]
[ROW][C]20[/C][C]316.166666666667[/C][C]112.068025878225[/C][C]430[/C][/ROW]
[ROW][C]21[/C][C]340.333333333333[/C][C]37.7608102121603[/C][C]127[/C][/ROW]
[ROW][C]22[/C][C]327[/C][C]109.413311472018[/C][C]419[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41114&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41114&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	494.083333333333	186.999979743963	698
2	410.333333333333	147.339023611492	530
3	397.75	131.641472464901	502
4	442.5	55.1073332853095	198
5	445.666666666667	154.069248499930	594
6	438.416666666667	55.1946280873145	189
7	358.583333333333	119.317344874410	459
8	432.416666666667	65.2010294583164	201
9	351.916666666667	169.657654401355	475
10	385.833333333333	137.122926491878	531
11	347.583333333333	61.5296799532674	206
12	429.75	56.6554578932243	177
13	380.5	126.818051482501	472
14	319.666666666667	159.080501824096	488
15	342.416666666667	75.9047948339753	225
16	393.916666666667	63.3955236924692	179
17	372.666666666667	30.2755026482808	99
18	321.833333333333	105.381414036074	390
19	392.25	56.1428777965	178
20	316.166666666667	112.068025878225	430
21	340.333333333333	37.7608102121603	127
22	327	109.413311472018	419

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	79.3513897513243
beta	0.0557177486189427
S.D.	0.213140873619404
T-STAT	0.261412781475389
p-value	0.796447334129304

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 79.3513897513243 \tabularnewline
beta & 0.0557177486189427 \tabularnewline
S.D. & 0.213140873619404 \tabularnewline
T-STAT & 0.261412781475389 \tabularnewline
p-value & 0.796447334129304 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41114&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]79.3513897513243[/C][/ROW]
[ROW][C]beta[/C][C]0.0557177486189427[/C][/ROW]
[ROW][C]S.D.[/C][C]0.213140873619404[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.261412781475389[/C][/ROW]
[ROW][C]p-value[/C][C]0.796447334129304[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41114&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41114&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	79.3513897513243
beta	0.0557177486189427
S.D.	0.213140873619404
T-STAT	0.261412781475389
p-value	0.796447334129304

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.87569529551517
beta	-0.0642628648046199
S.D.	0.921111771302506
T-STAT	-0.0697666307246822
p-value	0.945072275222302
Lambda	1.06426286480462

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.87569529551517 \tabularnewline
beta & -0.0642628648046199 \tabularnewline
S.D. & 0.921111771302506 \tabularnewline
T-STAT & -0.0697666307246822 \tabularnewline
p-value & 0.945072275222302 \tabularnewline
Lambda & 1.06426286480462 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41114&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.87569529551517[/C][/ROW]
[ROW][C]beta[/C][C]-0.0642628648046199[/C][/ROW]
[ROW][C]S.D.[/C][C]0.921111771302506[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0697666307246822[/C][/ROW]
[ROW][C]p-value[/C][C]0.945072275222302[/C][/ROW]
[ROW][C]Lambda[/C][C]1.06426286480462[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41114&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41114&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	4.87569529551517
beta	-0.0642628648046199
S.D.	0.921111771302506
T-STAT	-0.0697666307246822
p-value	0.945072275222302
Lambda	1.06426286480462

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code