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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 computationMon, 21 Mar 2016 19:14:43 +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/21/t1458587717j9jmlpz8y40s7rs.htm/, Retrieved Sun, 05 May 2024 16:25:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294384, Retrieved Sun, 05 May 2024 16:25:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [spreidingsmaten s...] [2016-03-21 19:03:46] [4c392b130fccc63297597dd6ffb6df17]
- RMPD    [Standard Deviation-Mean Plot] [spreidings en gem...] [2016-03-21 19:14:43] [d7adcc7732e5b057da1b42af54844e1a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
68733
41381
51310
39036
42157
52574
39168
41325
40645
42303
38167
8980
66356
50335
47212
42247
45793
48248
40074
39602
41283
41900
29812
7236
56184
33958
34532
30277
30850
35492
33544
27829
33663
35690
27356
8033
62798
37581
44753
37546
36830
50683
38487
36522
45544
43575
36921
11393
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

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294384&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294384&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294384&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
142148.2513609.769907379759753
241674.833333333313847.006488659259120
33228410629.182539336948151
440219.416666666711922.301710799551405
546320.513173.921936227657543
641873.2517430.433672824357902
734726.41666666675609.9557842745219648
832297.41666666674816.4944147138518844

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 42148.25 & 13609.7699073797 & 59753 \tabularnewline
2 & 41674.8333333333 & 13847.0064886592 & 59120 \tabularnewline
3 & 32284 & 10629.1825393369 & 48151 \tabularnewline
4 & 40219.4166666667 & 11922.3017107995 & 51405 \tabularnewline
5 & 46320.5 & 13173.9219362276 & 57543 \tabularnewline
6 & 41873.25 & 17430.4336728243 & 57902 \tabularnewline
7 & 34726.4166666667 & 5609.95578427452 & 19648 \tabularnewline
8 & 32297.4166666667 & 4816.49441471385 & 18844 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294384&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]42148.25[/C][C]13609.7699073797[/C][C]59753[/C][/ROW]
[ROW][C]2[/C][C]41674.8333333333[/C][C]13847.0064886592[/C][C]59120[/C][/ROW]
[ROW][C]3[/C][C]32284[/C][C]10629.1825393369[/C][C]48151[/C][/ROW]
[ROW][C]4[/C][C]40219.4166666667[/C][C]11922.3017107995[/C][C]51405[/C][/ROW]
[ROW][C]5[/C][C]46320.5[/C][C]13173.9219362276[/C][C]57543[/C][/ROW]
[ROW][C]6[/C][C]41873.25[/C][C]17430.4336728243[/C][C]57902[/C][/ROW]
[ROW][C]7[/C][C]34726.4166666667[/C][C]5609.95578427452[/C][C]19648[/C][/ROW]
[ROW][C]8[/C][C]32297.4166666667[/C][C]4816.49441471385[/C][C]18844[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294384&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294384&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
142148.2513609.769907379759753
241674.833333333313847.006488659259120
33228410629.182539336948151
440219.416666666711922.301710799551405
546320.513173.921936227657543
641873.2517430.433672824357902
734726.41666666675609.9557842745219648
832297.41666666674816.4944147138518844






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-13078.1138610494
beta0.628045877967333
S.D.0.21779833808308
T-STAT2.88361189297855
p-value0.0279256069898466

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -13078.1138610494 \tabularnewline
beta & 0.628045877967333 \tabularnewline
S.D. & 0.21779833808308 \tabularnewline
T-STAT & 2.88361189297855 \tabularnewline
p-value & 0.0279256069898466 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294384&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-13078.1138610494[/C][/ROW]
[ROW][C]beta[/C][C]0.628045877967333[/C][/ROW]
[ROW][C]S.D.[/C][C]0.21779833808308[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.88361189297855[/C][/ROW]
[ROW][C]p-value[/C][C]0.0279256069898466[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294384&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294384&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-13078.1138610494
beta0.628045877967333
S.D.0.21779833808308
T-STAT2.88361189297855
p-value0.0279256069898466






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-17.9379951719963
beta2.575069557144
S.D.0.881559496290593
T-STAT2.92103887256541
p-value0.0265953191199536
Lambda-1.575069557144

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -17.9379951719963 \tabularnewline
beta & 2.575069557144 \tabularnewline
S.D. & 0.881559496290593 \tabularnewline
T-STAT & 2.92103887256541 \tabularnewline
p-value & 0.0265953191199536 \tabularnewline
Lambda & -1.575069557144 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294384&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-17.9379951719963[/C][/ROW]
[ROW][C]beta[/C][C]2.575069557144[/C][/ROW]
[ROW][C]S.D.[/C][C]0.881559496290593[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.92103887256541[/C][/ROW]
[ROW][C]p-value[/C][C]0.0265953191199536[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.575069557144[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294384&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294384&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-17.9379951719963
beta2.575069557144
S.D.0.881559496290593
T-STAT2.92103887256541
p-value0.0265953191199536
Lambda-1.575069557144


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')