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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, 03 May 2016 12:54:24 +0100
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/May/03/t1462276478bxzksn7gvgh7ogf.htm/, Retrieved Mon, 29 Apr 2024 07:42:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295220, Retrieved Mon, 29 Apr 2024 07:42:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94

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] [] [2016-05-03 11:54:24] [517bf63cbd197750110a40d4d2cd39d6] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
74787
49019
56601
47637
49806
50499
42092
39062
44382
43635
41082
17244
70170
43949
52333
41032
47758
76116
30917
32996
31951
26775
30268
18214
47957
31901
35559
30408
30083
35043
30475
28309
31394
36313
40357
38918
44368
33298
29366
28282
30943
32699
29764
25524
29807
35112
32192
36214
47639
33421
28642
26996
27757
36839
33821
30839
35032
38821
40347
68799

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295220&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]2 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=295220&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295220&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
146320.513173.921936227657543
241873.2517430.433672824357902
334726.41666666675609.9557842745219648
432297.41666666674816.4944147138518844
537412.7511508.811636978641803

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 46320.5 & 13173.9219362276 & 57543 \tabularnewline
2 & 41873.25 & 17430.4336728243 & 57902 \tabularnewline
3 & 34726.4166666667 & 5609.95578427452 & 19648 \tabularnewline
4 & 32297.4166666667 & 4816.49441471385 & 18844 \tabularnewline
5 & 37412.75 & 11508.8116369786 & 41803 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295220&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]46320.5[/C][C]13173.9219362276[/C][C]57543[/C][/ROW]
[ROW][C]2[/C][C]41873.25[/C][C]17430.4336728243[/C][C]57902[/C][/ROW]
[ROW][C]3[/C][C]34726.4166666667[/C][C]5609.95578427452[/C][C]19648[/C][/ROW]
[ROW][C]4[/C][C]32297.4166666667[/C][C]4816.49441471385[/C][C]18844[/C][/ROW]
[ROW][C]5[/C][C]37412.75[/C][C]11508.8116369786[/C][C]41803[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295220&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295220&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
146320.513173.921936227657543
241873.2517430.433672824357902
334726.41666666675609.9557842745219648
432297.41666666674816.4944147138518844
537412.7511508.811636978641803






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-19018.8489310316
beta0.766410250895983
S.D.0.317148235977755
T-STAT2.41656791352842
p-value0.0944589565461947

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -19018.8489310316 \tabularnewline
beta & 0.766410250895983 \tabularnewline
S.D. & 0.317148235977755 \tabularnewline
T-STAT & 2.41656791352842 \tabularnewline
p-value & 0.0944589565461947 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295220&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-19018.8489310316[/C][/ROW]
[ROW][C]beta[/C][C]0.766410250895983[/C][/ROW]
[ROW][C]S.D.[/C][C]0.317148235977755[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.41656791352842[/C][/ROW]
[ROW][C]p-value[/C][C]0.0944589565461947[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295220&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295220&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-19018.8489310316
beta0.766410250895983
S.D.0.317148235977755
T-STAT2.41656791352842
p-value0.0944589565461947






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-26.2026288958047
beta3.35007258717458
S.D.1.12284545117335
T-STAT2.9835562709666
p-value0.0584306290207147
Lambda-2.35007258717458

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -26.2026288958047 \tabularnewline
beta & 3.35007258717458 \tabularnewline
S.D. & 1.12284545117335 \tabularnewline
T-STAT & 2.9835562709666 \tabularnewline
p-value & 0.0584306290207147 \tabularnewline
Lambda & -2.35007258717458 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295220&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-26.2026288958047[/C][/ROW]
[ROW][C]beta[/C][C]3.35007258717458[/C][/ROW]
[ROW][C]S.D.[/C][C]1.12284545117335[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.9835562709666[/C][/ROW]
[ROW][C]p-value[/C][C]0.0584306290207147[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.35007258717458[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295220&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295220&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-26.2026288958047
beta3.35007258717458
S.D.1.12284545117335
T-STAT2.9835562709666
p-value0.0584306290207147
Lambda-2.35007258717458


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')