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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 computationThu, 17 Dec 2009 03:57:54 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/17/t1261047695r5xrgt48wvz013o.htm/, Retrieved Tue, 30 Apr 2024 03:30:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=68730, Retrieved Tue, 30 Apr 2024 03:30:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Q1 The Seatbeltlaw] [2007-11-14 19:27:43] [8cd6641b921d30ebe00b648d1481bba0]
-    D  [Multiple Regression] [Paper] [2008-12-16 19:46:15] [74be16979710d4c4e7c6647856088456]
- RM D    [Multiple Regression] [] [2009-12-16 17:12:08] [ff47dd0689925b5f8d992b55e66ceb45]
- RMPD        [Standard Deviation-Mean Plot] [] [2009-12-17 10:57:54] [208e60166df5802f3c494097313a670f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
39
38
39
38
37
32
32
44
43
42
38
37
35
37
33
24
24
31
25
28
24
25
16
17
11
12
39
19
14
15
7
12
12
14
9
8
4
7
3
5
0
-2
6
11
9
17
21
21
41
57
65
68
73
71
71
70
69
65
57
57
57
55

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68730&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68730&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68730&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' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
138.253.7203372281164412
226.58333333333336.5429814351414821
314.33333333333338.4243514272433432
48.57.657438451359823
563.66666666666679.208033383295232

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 38.25 & 3.72033722811644 & 12 \tabularnewline
2 & 26.5833333333333 & 6.54298143514148 & 21 \tabularnewline
3 & 14.3333333333333 & 8.42435142724334 & 32 \tabularnewline
4 & 8.5 & 7.6574384513598 & 23 \tabularnewline
5 & 63.6666666666667 & 9.2080333832952 & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68730&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]38.25[/C][C]3.72033722811644[/C][C]12[/C][/ROW]
[ROW][C]2[/C][C]26.5833333333333[/C][C]6.54298143514148[/C][C]21[/C][/ROW]
[ROW][C]3[/C][C]14.3333333333333[/C][C]8.42435142724334[/C][C]32[/C][/ROW]
[ROW][C]4[/C][C]8.5[/C][C]7.6574384513598[/C][C]23[/C][/ROW]
[ROW][C]5[/C][C]63.6666666666667[/C][C]9.2080333832952[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68730&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68730&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
138.253.7203372281164412
226.58333333333336.5429814351414821
314.33333333333338.4243514272433432
48.57.657438451359823
563.66666666666679.208033383295232






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6.91766570751475
beta0.0063754188606775
S.D.0.0561454285384413
T-STAT0.113551878160702
p-value0.916765680462434

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.91766570751475 \tabularnewline
beta & 0.0063754188606775 \tabularnewline
S.D. & 0.0561454285384413 \tabularnewline
T-STAT & 0.113551878160702 \tabularnewline
p-value & 0.916765680462434 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68730&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.91766570751475[/C][/ROW]
[ROW][C]beta[/C][C]0.0063754188606775[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0561454285384413[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.113551878160702[/C][/ROW]
[ROW][C]p-value[/C][C]0.916765680462434[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68730&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68730&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)
alpha6.91766570751475
beta0.0063754188606775
S.D.0.0561454285384413
T-STAT0.113551878160702
p-value0.916765680462434






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.19655841562175
beta-0.0883903542682232
S.D.0.256369565494367
T-STAT-0.344777095899728
p-value0.75301751295805
Lambda1.08839035426822

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.19655841562175 \tabularnewline
beta & -0.0883903542682232 \tabularnewline
S.D. & 0.256369565494367 \tabularnewline
T-STAT & -0.344777095899728 \tabularnewline
p-value & 0.75301751295805 \tabularnewline
Lambda & 1.08839035426822 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68730&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.19655841562175[/C][/ROW]
[ROW][C]beta[/C][C]-0.0883903542682232[/C][/ROW]
[ROW][C]S.D.[/C][C]0.256369565494367[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.344777095899728[/C][/ROW]
[ROW][C]p-value[/C][C]0.75301751295805[/C][/ROW]
[ROW][C]Lambda[/C][C]1.08839035426822[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68730&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68730&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)
alpha2.19655841562175
beta-0.0883903542682232
S.D.0.256369565494367
T-STAT-0.344777095899728
p-value0.75301751295805
Lambda1.08839035426822


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')