Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 21 May 2010 17:10:59 +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/2010/May/21/t1274461889qeh3d7gxo7b8qin.htm/, Retrieved Thu, 02 May 2024 23:23:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76263, Retrieved Thu, 02 May 2024 23:23:26 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

154

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

-       [Standard Deviation-Mean Plot] [] [2010-05-21 17:10:59] [d38ec69e6463020b6f9ce85941b20918] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

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=76263&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=76263&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76263&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	606997	44338.4306593426	105842
2	490635.25	196174.102294153	453046
3	564998.75	17876.8006528946	40799
4	651933.5	40862.4877567026	90625
5	504649.25	203116.005851131	455703
6	598786	27501.9026614524	65652
7	676461.25	29778.8296095845	66123
8	574407.25	228362.953821871	486386
9	682619.25	59938.5736643496	121629
10	741095.5	55519.6498638095	134526
11	579131	245635.5020201	559363
12	678855.5	41545.0106872053	88588
13	775382.25	27832.6727231983	66152
14	600112.5	240831.031846673	507773
15	713717.25	40557.7568690627	91837
16	817779.75	48278.2775264059	101547
17	638628.75	237957.880564853	530600
18	801862	58079.849328317	141208
19	859074.75	58511.8303671716	137643
20	684668.25	229956.304374512	501020
21	804838.5	81382.9264014674	166852
22	846517.5	69308.4846633753	160694
23	644717.5	234551.586727384	518078
24	806998.25	37718.192059668	80000
25	879890	18302.5875948366	39142
26	725545.75	287651.114139305	634595
27	838293	60392.1526193594	118271
28	953373.25	53198.2661457746	117944
29	764037.75	288830.668827920	661265
30	906469.5	64122.5324645453	144205

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 606997 & 44338.4306593426 & 105842 \tabularnewline
2 & 490635.25 & 196174.102294153 & 453046 \tabularnewline
3 & 564998.75 & 17876.8006528946 & 40799 \tabularnewline
4 & 651933.5 & 40862.4877567026 & 90625 \tabularnewline
5 & 504649.25 & 203116.005851131 & 455703 \tabularnewline
6 & 598786 & 27501.9026614524 & 65652 \tabularnewline
7 & 676461.25 & 29778.8296095845 & 66123 \tabularnewline
8 & 574407.25 & 228362.953821871 & 486386 \tabularnewline
9 & 682619.25 & 59938.5736643496 & 121629 \tabularnewline
10 & 741095.5 & 55519.6498638095 & 134526 \tabularnewline
11 & 579131 & 245635.5020201 & 559363 \tabularnewline
12 & 678855.5 & 41545.0106872053 & 88588 \tabularnewline
13 & 775382.25 & 27832.6727231983 & 66152 \tabularnewline
14 & 600112.5 & 240831.031846673 & 507773 \tabularnewline
15 & 713717.25 & 40557.7568690627 & 91837 \tabularnewline
16 & 817779.75 & 48278.2775264059 & 101547 \tabularnewline
17 & 638628.75 & 237957.880564853 & 530600 \tabularnewline
18 & 801862 & 58079.849328317 & 141208 \tabularnewline
19 & 859074.75 & 58511.8303671716 & 137643 \tabularnewline
20 & 684668.25 & 229956.304374512 & 501020 \tabularnewline
21 & 804838.5 & 81382.9264014674 & 166852 \tabularnewline
22 & 846517.5 & 69308.4846633753 & 160694 \tabularnewline
23 & 644717.5 & 234551.586727384 & 518078 \tabularnewline
24 & 806998.25 & 37718.192059668 & 80000 \tabularnewline
25 & 879890 & 18302.5875948366 & 39142 \tabularnewline
26 & 725545.75 & 287651.114139305 & 634595 \tabularnewline
27 & 838293 & 60392.1526193594 & 118271 \tabularnewline
28 & 953373.25 & 53198.2661457746 & 117944 \tabularnewline
29 & 764037.75 & 288830.668827920 & 661265 \tabularnewline
30 & 906469.5 & 64122.5324645453 & 144205 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76263&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]606997[/C][C]44338.4306593426[/C][C]105842[/C][/ROW]
[ROW][C]2[/C][C]490635.25[/C][C]196174.102294153[/C][C]453046[/C][/ROW]
[ROW][C]3[/C][C]564998.75[/C][C]17876.8006528946[/C][C]40799[/C][/ROW]
[ROW][C]4[/C][C]651933.5[/C][C]40862.4877567026[/C][C]90625[/C][/ROW]
[ROW][C]5[/C][C]504649.25[/C][C]203116.005851131[/C][C]455703[/C][/ROW]
[ROW][C]6[/C][C]598786[/C][C]27501.9026614524[/C][C]65652[/C][/ROW]
[ROW][C]7[/C][C]676461.25[/C][C]29778.8296095845[/C][C]66123[/C][/ROW]
[ROW][C]8[/C][C]574407.25[/C][C]228362.953821871[/C][C]486386[/C][/ROW]
[ROW][C]9[/C][C]682619.25[/C][C]59938.5736643496[/C][C]121629[/C][/ROW]
[ROW][C]10[/C][C]741095.5[/C][C]55519.6498638095[/C][C]134526[/C][/ROW]
[ROW][C]11[/C][C]579131[/C][C]245635.5020201[/C][C]559363[/C][/ROW]
[ROW][C]12[/C][C]678855.5[/C][C]41545.0106872053[/C][C]88588[/C][/ROW]
[ROW][C]13[/C][C]775382.25[/C][C]27832.6727231983[/C][C]66152[/C][/ROW]
[ROW][C]14[/C][C]600112.5[/C][C]240831.031846673[/C][C]507773[/C][/ROW]
[ROW][C]15[/C][C]713717.25[/C][C]40557.7568690627[/C][C]91837[/C][/ROW]
[ROW][C]16[/C][C]817779.75[/C][C]48278.2775264059[/C][C]101547[/C][/ROW]
[ROW][C]17[/C][C]638628.75[/C][C]237957.880564853[/C][C]530600[/C][/ROW]
[ROW][C]18[/C][C]801862[/C][C]58079.849328317[/C][C]141208[/C][/ROW]
[ROW][C]19[/C][C]859074.75[/C][C]58511.8303671716[/C][C]137643[/C][/ROW]
[ROW][C]20[/C][C]684668.25[/C][C]229956.304374512[/C][C]501020[/C][/ROW]
[ROW][C]21[/C][C]804838.5[/C][C]81382.9264014674[/C][C]166852[/C][/ROW]
[ROW][C]22[/C][C]846517.5[/C][C]69308.4846633753[/C][C]160694[/C][/ROW]
[ROW][C]23[/C][C]644717.5[/C][C]234551.586727384[/C][C]518078[/C][/ROW]
[ROW][C]24[/C][C]806998.25[/C][C]37718.192059668[/C][C]80000[/C][/ROW]
[ROW][C]25[/C][C]879890[/C][C]18302.5875948366[/C][C]39142[/C][/ROW]
[ROW][C]26[/C][C]725545.75[/C][C]287651.114139305[/C][C]634595[/C][/ROW]
[ROW][C]27[/C][C]838293[/C][C]60392.1526193594[/C][C]118271[/C][/ROW]
[ROW][C]28[/C][C]953373.25[/C][C]53198.2661457746[/C][C]117944[/C][/ROW]
[ROW][C]29[/C][C]764037.75[/C][C]288830.668827920[/C][C]661265[/C][/ROW]
[ROW][C]30[/C][C]906469.5[/C][C]64122.5324645453[/C][C]144205[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76263&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76263&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	606997	44338.4306593426	105842
2	490635.25	196174.102294153	453046
3	564998.75	17876.8006528946	40799
4	651933.5	40862.4877567026	90625
5	504649.25	203116.005851131	455703
6	598786	27501.9026614524	65652
7	676461.25	29778.8296095845	66123
8	574407.25	228362.953821871	486386
9	682619.25	59938.5736643496	121629
10	741095.5	55519.6498638095	134526
11	579131	245635.5020201	559363
12	678855.5	41545.0106872053	88588
13	775382.25	27832.6727231983	66152
14	600112.5	240831.031846673	507773
15	713717.25	40557.7568690627	91837
16	817779.75	48278.2775264059	101547
17	638628.75	237957.880564853	530600
18	801862	58079.849328317	141208
19	859074.75	58511.8303671716	137643
20	684668.25	229956.304374512	501020
21	804838.5	81382.9264014674	166852
22	846517.5	69308.4846633753	160694
23	644717.5	234551.586727384	518078
24	806998.25	37718.192059668	80000
25	879890	18302.5875948366	39142
26	725545.75	287651.114139305	634595
27	838293	60392.1526193594	118271
28	953373.25	53198.2661457746	117944
29	764037.75	288830.668827920	661265
30	906469.5	64122.5324645453	144205

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	346036.576376717
beta	-0.329386612109459
S.D.	0.133706149399841
T-STAT	-2.46351131633031
p-value	0.0201662544553643

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 346036.576376717 \tabularnewline
beta & -0.329386612109459 \tabularnewline
S.D. & 0.133706149399841 \tabularnewline
T-STAT & -2.46351131633031 \tabularnewline
p-value & 0.0201662544553643 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76263&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]346036.576376717[/C][/ROW]
[ROW][C]beta[/C][C]-0.329386612109459[/C][/ROW]
[ROW][C]S.D.[/C][C]0.133706149399841[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.46351131633031[/C][/ROW]
[ROW][C]p-value[/C][C]0.0201662544553643[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76263&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76263&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	346036.576376717
beta	-0.329386612109459
S.D.	0.133706149399841
T-STAT	-2.46351131633031
p-value	0.0201662544553643

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	35.996167376805
beta	-1.83841401152622
S.D.	0.899960528042731
T-STAT	-2.04277182636495
p-value	0.0505914374901396
Lambda	2.83841401152622

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 35.996167376805 \tabularnewline
beta & -1.83841401152622 \tabularnewline
S.D. & 0.899960528042731 \tabularnewline
T-STAT & -2.04277182636495 \tabularnewline
p-value & 0.0505914374901396 \tabularnewline
Lambda & 2.83841401152622 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76263&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]35.996167376805[/C][/ROW]
[ROW][C]beta[/C][C]-1.83841401152622[/C][/ROW]
[ROW][C]S.D.[/C][C]0.899960528042731[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.04277182636495[/C][/ROW]
[ROW][C]p-value[/C][C]0.0505914374901396[/C][/ROW]
[ROW][C]Lambda[/C][C]2.83841401152622[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76263&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76263&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	35.996167376805
beta	-1.83841401152622
S.D.	0.899960528042731
T-STAT	-2.04277182636495
p-value	0.0505914374901396
Lambda	2.83841401152622

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