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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 22 Mar 2016 07:04:41 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Mar/22/t1458630333r2pp0d7u465bwe4.htm/, Retrieved Mon, 29 Apr 2024 14:09:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294415, Retrieved Mon, 29 Apr 2024 14:09:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2016-03-22 07:04:41] [be6cd4bb5de010eb7c002bb036e110fa] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
81432
81935
82229
82963
82975
82892
82692
82648
83479
84176
84589
84857
84586
84635
84927
85563
86962
87780
88515
88800
89218
89626
89939
90663
91302
91560
92290
93281
94535
94855
95536
96008
96627
96738
96212
94198
93123
93022
93993
94876
95251
96216
96632
97023
97799
98001
98069
98172
98448
98157
98009
98020
97802
98006
98262
98629
99043
99289
99682
99979

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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294415&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294415&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294415&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
183072.251041.976367294383425
287601.16666666672204.579153132016077
394428.51935.530206898925436
496014.751924.17123245785150
598610.5723.1101387252662177

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 83072.25 & 1041.97636729438 & 3425 \tabularnewline
2 & 87601.1666666667 & 2204.57915313201 & 6077 \tabularnewline
3 & 94428.5 & 1935.53020689892 & 5436 \tabularnewline
4 & 96014.75 & 1924.1712324578 & 5150 \tabularnewline
5 & 98610.5 & 723.110138725266 & 2177 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294415&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]83072.25[/C][C]1041.97636729438[/C][C]3425[/C][/ROW]
[ROW][C]2[/C][C]87601.1666666667[/C][C]2204.57915313201[/C][C]6077[/C][/ROW]
[ROW][C]3[/C][C]94428.5[/C][C]1935.53020689892[/C][C]5436[/C][/ROW]
[ROW][C]4[/C][C]96014.75[/C][C]1924.1712324578[/C][C]5150[/C][/ROW]
[ROW][C]5[/C][C]98610.5[/C][C]723.110138725266[/C][C]2177[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294415&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294415&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
183072.251041.976367294383425
287601.16666666672204.579153132016077
394428.51935.530206898925436
496014.751924.17123245785150
598610.5723.1101387252662177






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2328.8966726256
beta-0.00829865307347791
S.D.0.0577139840010928
T-STAT-0.143789295040189
p-value0.894782392228564

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2328.8966726256 \tabularnewline
beta & -0.00829865307347791 \tabularnewline
S.D. & 0.0577139840010928 \tabularnewline
T-STAT & -0.143789295040189 \tabularnewline
p-value & 0.894782392228564 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294415&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2328.8966726256[/C][/ROW]
[ROW][C]beta[/C][C]-0.00829865307347791[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0577139840010928[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.143789295040189[/C][/ROW]
[ROW][C]p-value[/C][C]0.894782392228564[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294415&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294415&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)
alpha2328.8966726256
beta-0.00829865307347791
S.D.0.0577139840010928
T-STAT-0.143789295040189
p-value0.894782392228564






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha16.1136605357191
beta-0.77373482429607
S.D.3.90550905649692
T-STAT-0.198113693529641
p-value0.855621046829656
Lambda1.77373482429607

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 16.1136605357191 \tabularnewline
beta & -0.77373482429607 \tabularnewline
S.D. & 3.90550905649692 \tabularnewline
T-STAT & -0.198113693529641 \tabularnewline
p-value & 0.855621046829656 \tabularnewline
Lambda & 1.77373482429607 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294415&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.1136605357191[/C][/ROW]
[ROW][C]beta[/C][C]-0.77373482429607[/C][/ROW]
[ROW][C]S.D.[/C][C]3.90550905649692[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.198113693529641[/C][/ROW]
[ROW][C]p-value[/C][C]0.855621046829656[/C][/ROW]
[ROW][C]Lambda[/C][C]1.77373482429607[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294415&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294415&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)
alpha16.1136605357191
beta-0.77373482429607
S.D.3.90550905649692
T-STAT-0.198113693529641
p-value0.855621046829656
Lambda1.77373482429607


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')