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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

Sat, 21 Jan 2017 16:29:14 +0100

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/2017/Jan/21/t1485012575az8sm2cn20y4i49.htm/, Retrieved Mon, 13 May 2024 22:27:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=303276, Retrieved Mon, 13 May 2024 22:27:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2017-01-21 15:29:14] [08d27b3533b650fb54bfb8c53950c2f3] [Current]

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Histogram

Boxplots

0.000932570857569672
-0.0203108132423796
-0.00740244612633771
-1.96033134748516e-05
-0.00247881764132503
-0.0146429032316652
0.0287802927882739
0.00594440465345073
-0.000897153835221304
-0.00951757054790946
-0.0241105236250305
-0.0589548761565316
-0.0420482633527937
-0.0129245022944874
-0.0113315850945459
0.00969282890644101
0.0269228615266862
-0.033884634433504
0.00201252269547786
-0.0158623247635957
0.0124029812255415
-0.00776916837322891
-0.0511034038698992
-0.0164172487867153
0.0056627622655232
-0.0120137269820571
-0.00697278891520728
0.0207359633137815
-0.0138840933777682
0.0397600532401993
-0.0427967011101542
-0.0277811687963104
0.00503662630159267
0.0419179044976309
-0.00673512776792989
-0.0156255241231228
-0.0399042366063093
-0.0173247987163668
-0.000710268473735139
0.0287363751687132
0.000684917014274644
-0.00155611412861989
0.00332444680332711
0.0120325090465468
0.00199036648555317
-0.0342259467738315
-0.00181262310294394
0.0165251149934844
0.00970318330896758
0.0112580883625287
-0.00982084710598352
0.00574564877263328
0.0114333581744234
0.0255628954122663
-0.0122796621201001
0.0142475508072675
-4.92031778172031e-05
-0.0043443413456008
0.0248666984502987
-0.00462132452957265
-0.0165351836829477
-0.0100958035742273
0.00421955283508779
-0.00138733237024991
0.014498826561709
0.00616911500795214
0.00983736219357201
0.00333293068329388
-0.00309797659764033
-0.0149452729497809
0.00544968655455402
-0.034913162902699
-0.00631236324030271
0.00852428739481215
0.0239021114326191
0.00385099613737172
0.0132953006371123
-0.0211503383719361
0.0370522063722721
0.0040431049896249
0.00396756889555894
0.0193514652617433
-0.0140164522257322
0.00980197078400991
0.0284875706243669
0.031226926945389
0.00505473193057737
-0.00642775145836849
0.00751759465195623
-0.0102758924973265
0.0143298473469305
-0.0182211946052994
0.0179499970395537
0.031881851751381
0.0237215451172941
-0.000492108298878247
0.0394760583230769
-0.0289101623259483
0.0154723628260992
0.000284990762423165
-0.0190645780502774
-0.00103978895298851
0.00653817353187347
-0.00149135114799215
-0.00404516415219935
-0.000567079274514604
-0.0308987041721338
0.0141224291804049
-0.0454145615241273
0.00850159262841277
0.00157602326438588
0.0195212065399589
-0.0269517592650709
-0.00288201347647787
-0.0583284018660938
0.01469918825709
-0.0130466955013708
-0.0301970899241644
-0.000406211254377453
0.00144045073926935
-0.00253136472298887

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	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303276&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=303276&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303276&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	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-0.00855645328504841	0.0209376235083273	0.0877351689448055
2	-0.0116924947178853	0.0228449957799949	0.0780262653965854
3	-0.00105798512115186	0.0253888712241781	0.0847146056077851
4	-0.0026866881908256	0.0196390770242169	0.0686406117750225
5	0.0059751704174426	0.0124990074554737	0.0378425575323664
6	-0.00312227152011469	0.0138689537410961	0.049411989464408
7	0.00685915483892945	0.0160401466453702	0.0582025447442082
8	0.010396093212298	0.0169428378357962	0.0501030463566804
9	-0.000843567787681373	0.0195528691554778	0.0703747624952107
10	-0.0109573559485471	0.0243363726573579	0.0778496084060527

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -0.00855645328504841 & 0.0209376235083273 & 0.0877351689448055 \tabularnewline
2 & -0.0116924947178853 & 0.0228449957799949 & 0.0780262653965854 \tabularnewline
3 & -0.00105798512115186 & 0.0253888712241781 & 0.0847146056077851 \tabularnewline
4 & -0.0026866881908256 & 0.0196390770242169 & 0.0686406117750225 \tabularnewline
5 & 0.0059751704174426 & 0.0124990074554737 & 0.0378425575323664 \tabularnewline
6 & -0.00312227152011469 & 0.0138689537410961 & 0.049411989464408 \tabularnewline
7 & 0.00685915483892945 & 0.0160401466453702 & 0.0582025447442082 \tabularnewline
8 & 0.010396093212298 & 0.0169428378357962 & 0.0501030463566804 \tabularnewline
9 & -0.000843567787681373 & 0.0195528691554778 & 0.0703747624952107 \tabularnewline
10 & -0.0109573559485471 & 0.0243363726573579 & 0.0778496084060527 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303276&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]-0.00855645328504841[/C][C]0.0209376235083273[/C][C]0.0877351689448055[/C][/ROW]
[ROW][C]2[/C][C]-0.0116924947178853[/C][C]0.0228449957799949[/C][C]0.0780262653965854[/C][/ROW]
[ROW][C]3[/C][C]-0.00105798512115186[/C][C]0.0253888712241781[/C][C]0.0847146056077851[/C][/ROW]
[ROW][C]4[/C][C]-0.0026866881908256[/C][C]0.0196390770242169[/C][C]0.0686406117750225[/C][/ROW]
[ROW][C]5[/C][C]0.0059751704174426[/C][C]0.0124990074554737[/C][C]0.0378425575323664[/C][/ROW]
[ROW][C]6[/C][C]-0.00312227152011469[/C][C]0.0138689537410961[/C][C]0.049411989464408[/C][/ROW]
[ROW][C]7[/C][C]0.00685915483892945[/C][C]0.0160401466453702[/C][C]0.0582025447442082[/C][/ROW]
[ROW][C]8[/C][C]0.010396093212298[/C][C]0.0169428378357962[/C][C]0.0501030463566804[/C][/ROW]
[ROW][C]9[/C][C]-0.000843567787681373[/C][C]0.0195528691554778[/C][C]0.0703747624952107[/C][/ROW]
[ROW][C]10[/C][C]-0.0109573559485471[/C][C]0.0243363726573579[/C][C]0.0778496084060527[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303276&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303276&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	-0.00855645328504841	0.0209376235083273	0.0877351689448055
2	-0.0116924947178853	0.0228449957799949	0.0780262653965854
3	-0.00105798512115186	0.0253888712241781	0.0847146056077851
4	-0.0026866881908256	0.0196390770242169	0.0686406117750225
5	0.0059751704174426	0.0124990074554737	0.0378425575323664
6	-0.00312227152011469	0.0138689537410961	0.049411989464408
7	0.00685915483892945	0.0160401466453702	0.0582025447442082
8	0.010396093212298	0.0169428378357962	0.0501030463566804
9	-0.000843567787681373	0.0195528691554778	0.0703747624952107
10	-0.0109573559485471	0.0243363726573579	0.0778496084060527

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0186256129640022
beta	-0.369404457885904
S.D.	0.155348805312678
T-STAT	-2.37790343570642
p-value	0.0446916830480694

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0186256129640022 \tabularnewline
beta & -0.369404457885904 \tabularnewline
S.D. & 0.155348805312678 \tabularnewline
T-STAT & -2.37790343570642 \tabularnewline
p-value & 0.0446916830480694 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303276&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0186256129640022[/C][/ROW]
[ROW][C]beta[/C][C]-0.369404457885904[/C][/ROW]
[ROW][C]S.D.[/C][C]0.155348805312678[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.37790343570642[/C][/ROW]
[ROW][C]p-value[/C][C]0.0446916830480694[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303276&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303276&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	0.0186256129640022
beta	-0.369404457885904
S.D.	0.155348805312678
T-STAT	-2.37790343570642
p-value	0.0446916830480694

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.98502433313701
beta	0.452503037358752
S.D.	0.334049867678369
T-STAT	1.35459726568259
p-value	0.404841525455516
Lambda	0.547496962641248

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.98502433313701 \tabularnewline
beta & 0.452503037358752 \tabularnewline
S.D. & 0.334049867678369 \tabularnewline
T-STAT & 1.35459726568259 \tabularnewline
p-value & 0.404841525455516 \tabularnewline
Lambda & 0.547496962641248 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303276&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.98502433313701[/C][/ROW]
[ROW][C]beta[/C][C]0.452503037358752[/C][/ROW]
[ROW][C]S.D.[/C][C]0.334049867678369[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.35459726568259[/C][/ROW]
[ROW][C]p-value[/C][C]0.404841525455516[/C][/ROW]
[ROW][C]Lambda[/C][C]0.547496962641248[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303276&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303276&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	-1.98502433313701
beta	0.452503037358752
S.D.	0.334049867678369
T-STAT	1.35459726568259
p-value	0.404841525455516
Lambda	0.547496962641248

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0 ;

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