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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 computationWed, 11 Mar 2015 14:43:00 +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/2015/Mar/11/t1426085198lqgkminvj0zav3u.htm/, Retrieved Fri, 17 May 2024 10:59:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278189, Retrieved Fri, 17 May 2024 10:59:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116

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] [Aantal nieuwe res...] [2015-03-11 14:43:00] [4436f154edbd6dc391df500b76aea682] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
65
96
66
55
36
63
49
59
89
33
65
62
63
69
84
46
54
83
34
87
55
47
77
38
73
64
75
81
133
107
43
50
27
34
52
29
48
37
64
48
38
39
52
66
67
58
40
31
101
82
72
46
45
62
64
29
57
71
46
71
56
75
78
76
53
43
52
93
52
67
58
52

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278189&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278189&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278189&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
161.518.243305123200263
261.416666666666718.524962683477753
36432.1586973956007106
44912.431631210161236
562.166666666666719.310069597978972
662.916666666666714.743000393612650

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 61.5 & 18.2433051232002 & 63 \tabularnewline
2 & 61.4166666666667 & 18.5249626834777 & 53 \tabularnewline
3 & 64 & 32.1586973956007 & 106 \tabularnewline
4 & 49 & 12.4316312101612 & 36 \tabularnewline
5 & 62.1666666666667 & 19.3100695979789 & 72 \tabularnewline
6 & 62.9166666666667 & 14.7430003936126 & 50 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278189&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]61.5[/C][C]18.2433051232002[/C][C]63[/C][/ROW]
[ROW][C]2[/C][C]61.4166666666667[/C][C]18.5249626834777[/C][C]53[/C][/ROW]
[ROW][C]3[/C][C]64[/C][C]32.1586973956007[/C][C]106[/C][/ROW]
[ROW][C]4[/C][C]49[/C][C]12.4316312101612[/C][C]36[/C][/ROW]
[ROW][C]5[/C][C]62.1666666666667[/C][C]19.3100695979789[/C][C]72[/C][/ROW]
[ROW][C]6[/C][C]62.9166666666667[/C][C]14.7430003936126[/C][C]50[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278189&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278189&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
161.518.243305123200263
261.416666666666718.524962683477753
36432.1586973956007106
44912.431631210161236
562.166666666666719.310069597978972
662.916666666666714.743000393612650






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-24.0882807140674
beta0.720059143181262
S.D.0.501115925852238
T-STAT1.43691131339853
p-value0.224104129692512

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -24.0882807140674 \tabularnewline
beta & 0.720059143181262 \tabularnewline
S.D. & 0.501115925852238 \tabularnewline
T-STAT & 1.43691131339853 \tabularnewline
p-value & 0.224104129692512 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278189&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-24.0882807140674[/C][/ROW]
[ROW][C]beta[/C][C]0.720059143181262[/C][/ROW]
[ROW][C]S.D.[/C][C]0.501115925852238[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.43691131339853[/C][/ROW]
[ROW][C]p-value[/C][C]0.224104129692512[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278189&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278189&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-24.0882807140674
beta0.720059143181262
S.D.0.501115925852238
T-STAT1.43691131339853
p-value0.224104129692512






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.84202995930683
beta2.13841395816601
S.D.1.2042587555557
T-STAT1.77570970383291
p-value0.150434692434112
Lambda-1.13841395816601

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.84202995930683 \tabularnewline
beta & 2.13841395816601 \tabularnewline
S.D. & 1.2042587555557 \tabularnewline
T-STAT & 1.77570970383291 \tabularnewline
p-value & 0.150434692434112 \tabularnewline
Lambda & -1.13841395816601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278189&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.84202995930683[/C][/ROW]
[ROW][C]beta[/C][C]2.13841395816601[/C][/ROW]
[ROW][C]S.D.[/C][C]1.2042587555557[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.77570970383291[/C][/ROW]
[ROW][C]p-value[/C][C]0.150434692434112[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.13841395816601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278189&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278189&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-5.84202995930683
beta2.13841395816601
S.D.1.2042587555557
T-STAT1.77570970383291
p-value0.150434692434112
Lambda-1.13841395816601


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')