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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, 02 Dec 2011 09:41:23 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/02/t1322836910g4ydfoiqmcupxl9.htm/, Retrieved Mon, 29 Apr 2024 02:00:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150258, Retrieved Mon, 29 Apr 2024 02:00:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMPD    [Standard Deviation-Mean Plot] [WS9 Wine Sales Au...] [2011-12-02 14:41:23] [2a6d487209befbc7c5ce02a41ecac161] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2564
2820
3508
3088
3299
2939
3320
3418
3604
3495
4163
4882
2211
3260
2992
2425
2707
3244
3965
3315
3333
3583
4021
4904
2252
2952
3573
3048
3059
2731
3563
3092
3478
3478
4308
5029
2075
3264
3308
3688
3136
2824
3644
4694
2914
3686
4358
5587
2265
3685
3754
3708
3210
3517
3905
3670
4221
4404
5086
5725

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'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150258&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150258&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150258&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13425617.5747286398192318
23330739.058368958282693
33380.25728.8414374259272777
43598.16666666667931.6875045102873512
53929.16666666667880.9815634572133460

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3425 & 617.574728639819 & 2318 \tabularnewline
2 & 3330 & 739.05836895828 & 2693 \tabularnewline
3 & 3380.25 & 728.841437425927 & 2777 \tabularnewline
4 & 3598.16666666667 & 931.687504510287 & 3512 \tabularnewline
5 & 3929.16666666667 & 880.981563457213 & 3460 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150258&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]3425[/C][C]617.574728639819[/C][C]2318[/C][/ROW]
[ROW][C]2[/C][C]3330[/C][C]739.05836895828[/C][C]2693[/C][/ROW]
[ROW][C]3[/C][C]3380.25[/C][C]728.841437425927[/C][C]2777[/C][/ROW]
[ROW][C]4[/C][C]3598.16666666667[/C][C]931.687504510287[/C][C]3512[/C][/ROW]
[ROW][C]5[/C][C]3929.16666666667[/C][C]880.981563457213[/C][C]3460[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150258&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150258&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
13425617.5747286398192318
23330739.058368958282693
33380.25728.8414374259272777
43598.16666666667931.6875045102873512
53929.16666666667880.9815634572133460






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-463.707970212278
beta0.351969094029445
S.D.0.220003776880783
T-STAT1.59983205297504
p-value0.207940709927709

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -463.707970212278 \tabularnewline
beta & 0.351969094029445 \tabularnewline
S.D. & 0.220003776880783 \tabularnewline
T-STAT & 1.59983205297504 \tabularnewline
p-value & 0.207940709927709 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150258&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-463.707970212278[/C][/ROW]
[ROW][C]beta[/C][C]0.351969094029445[/C][/ROW]
[ROW][C]S.D.[/C][C]0.220003776880783[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.59983205297504[/C][/ROW]
[ROW][C]p-value[/C][C]0.207940709927709[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150258&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150258&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)
alpha-463.707970212278
beta0.351969094029445
S.D.0.220003776880783
T-STAT1.59983205297504
p-value0.207940709927709






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.72322799553634
beta1.63705625802156
S.D.1.04874547140636
T-STAT1.56096622360264
p-value0.216448921487821
Lambda-0.637056258021561

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.72322799553634 \tabularnewline
beta & 1.63705625802156 \tabularnewline
S.D. & 1.04874547140636 \tabularnewline
T-STAT & 1.56096622360264 \tabularnewline
p-value & 0.216448921487821 \tabularnewline
Lambda & -0.637056258021561 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150258&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.72322799553634[/C][/ROW]
[ROW][C]beta[/C][C]1.63705625802156[/C][/ROW]
[ROW][C]S.D.[/C][C]1.04874547140636[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.56096622360264[/C][/ROW]
[ROW][C]p-value[/C][C]0.216448921487821[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.637056258021561[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150258&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150258&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)
alpha-6.72322799553634
beta1.63705625802156
S.D.1.04874547140636
T-STAT1.56096622360264
p-value0.216448921487821
Lambda-0.637056258021561


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')