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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationFri, 27 Nov 2009 12:21:55 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/27/t1259349768jmd36wb6mzlrjsa.htm/, Retrieved Mon, 29 Apr 2024 03:52:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61164, Retrieved Mon, 29 Apr 2024 03:52:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
F    D          [Standard Deviation-Mean Plot] [ws8 (4)] [2009-11-27 19:21:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2009-12-05 15:57:14 [f1e24346ff4ab8a20729561498ad5c34] [reply] 
Bij deze calculator worden de gegevens opgedeeld in ‘stukken’ van 12 gegevens/maanden. Je hebt dus 5 punten op de grafiek omdat je 5 keer 12 gegevens hebt.
De Standard Deviation is een maatstaf voor de spreiding. Mean is een maatstaf voor niveau.

Bij het regressiemodel is je p-waarde 0,73. Je p-waarde is veel te groot om de nulhypothese te verwerpen. Je neemt ze dus aan. Het is niet nodig om een Lambda waarde te berekenen als er geen verband is tussen Mean en S.D. Maar misschien was er wel een verband en werd dit verstoord door een eventuele outlier die rechts van onder op de grafiek ligt.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2360
2214
2825
2355
2333
3016
2155
2172
2150
2533
2058
2160
2260
2498
2695
2799
2947
2930
2318
2540
2570
2669
2450
2842
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2537
2069
2063
2524
2437
2189
2793
2074
2622
2278
2144
2427
2139
1828
2072
1800
1758
2246
1987
1868
2514
2121

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61164&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61164&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61164&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12360.91666666667294.065997024581958
22626.5226.707861675449687
32557.91666666667379.9685293985981383
42293.83333333333237.3451010021827
52293.91666666667273.074900924914965

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2360.91666666667 & 294.065997024581 & 958 \tabularnewline
2 & 2626.5 & 226.707861675449 & 687 \tabularnewline
3 & 2557.91666666667 & 379.968529398598 & 1383 \tabularnewline
4 & 2293.83333333333 & 237.3451010021 & 827 \tabularnewline
5 & 2293.91666666667 & 273.074900924914 & 965 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61164&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]2360.91666666667[/C][C]294.065997024581[/C][C]958[/C][/ROW]
[ROW][C]2[/C][C]2626.5[/C][C]226.707861675449[/C][C]687[/C][/ROW]
[ROW][C]3[/C][C]2557.91666666667[/C][C]379.968529398598[/C][C]1383[/C][/ROW]
[ROW][C]4[/C][C]2293.83333333333[/C][C]237.3451010021[/C][C]827[/C][/ROW]
[ROW][C]5[/C][C]2293.91666666667[/C][C]273.074900924914[/C][C]965[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61164&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61164&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12360.91666666667294.065997024581958
22626.5226.707861675449687
32557.91666666667379.9685293985981383
42293.83333333333237.3451010021827
52293.91666666667273.074900924914965






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha78.2631803139703
beta0.0840550139183463
S.D.0.221112143385012
T-STAT0.380146529410578
p-value0.729154387826606

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 78.2631803139703 \tabularnewline
beta & 0.0840550139183463 \tabularnewline
S.D. & 0.221112143385012 \tabularnewline
T-STAT & 0.380146529410578 \tabularnewline
p-value & 0.729154387826606 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61164&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]78.2631803139703[/C][/ROW]
[ROW][C]beta[/C][C]0.0840550139183463[/C][/ROW]
[ROW][C]S.D.[/C][C]0.221112143385012[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.380146529410578[/C][/ROW]
[ROW][C]p-value[/C][C]0.729154387826606[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61164&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61164&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha78.2631803139703
beta0.0840550139183463
S.D.0.221112143385012
T-STAT0.380146529410578
p-value0.729154387826606






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.43525151236575
beta0.537701778494586
S.D.1.83651630760853
T-STAT0.292783557797409
p-value0.788770576611885
Lambda0.462298221505414

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.43525151236575 \tabularnewline
beta & 0.537701778494586 \tabularnewline
S.D. & 1.83651630760853 \tabularnewline
T-STAT & 0.292783557797409 \tabularnewline
p-value & 0.788770576611885 \tabularnewline
Lambda & 0.462298221505414 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61164&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.43525151236575[/C][/ROW]
[ROW][C]beta[/C][C]0.537701778494586[/C][/ROW]
[ROW][C]S.D.[/C][C]1.83651630760853[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.292783557797409[/C][/ROW]
[ROW][C]p-value[/C][C]0.788770576611885[/C][/ROW]
[ROW][C]Lambda[/C][C]0.462298221505414[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61164&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61164&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.43525151236575
beta0.537701778494586
S.D.1.83651630760853
T-STAT0.292783557797409
p-value0.788770576611885
Lambda0.462298221505414


Figures (Output of Computation)

Input Parameters & R Code

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')