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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 computationFri, 05 Jun 2009 00:20:48 -0600
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/Jun/05/t12441829941z4fg3ypyr3r6ao.htm/, Retrieved Fri, 10 May 2024 18:49:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41746, Retrieved Fri, 10 May 2024 18:49:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153

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] [opgave8oef2stap3] [2009-06-05 06:20:48] [791ed687546d9528c8a01d986e6abead] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.8832
0.8707
0.8766
0.8860
0.9170
0.9561
0.9935
0.9781
0.9806
0.9812
1.0013
1.0194
1.0622
1.0785
1.0797
1.0862
1.1556
1.1674
1.1365
1.1155
1.1267
1.1714
1.1710
1.2298
1.2638
1.2640
1.2261
1.1989
1.2000
1.2146
1.2266
1.2191
1.2224
1.2507
1.2997
1.3406
1.3123
1.3013
1.3185
1.2943
1.2697
1.2155
1.2041
1.2295
1.2234
1.2022
1.0000
1.1861
1.2126
1.1940
1.2028
1.2273
1.2767
1.2661
1.2681
1.2810
1.2722
1.2617
1.2888
1.3205
1.2993
1.3080
1.3246
1.3513
1.3518
1.3421
1.3726
1.3626
1.3910
1.4233
1.4683
1.4559
1.4728
1.4759
1.5520
1.5754
1.5554
1.5562
1.5759
1.4955
1.4342
1.3266
1.2744
1.3511
1.3244
1.2797
1.3050
1.3203

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41746&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41746&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41746&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.9453083333333330.05488506102977770.1487
21.131708333333330.04984987386385670.1676
31.2438750.04244237001779320.1417
41.229741666666670.08629965193581270.3185
51.255983333333330.03839320094480110.1265
61.37090.05455470982084280.169
71.470450.1038809677204900.3015

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.945308333333333 & 0.0548850610297777 & 0.1487 \tabularnewline
2 & 1.13170833333333 & 0.0498498738638567 & 0.1676 \tabularnewline
3 & 1.243875 & 0.0424423700177932 & 0.1417 \tabularnewline
4 & 1.22974166666667 & 0.0862996519358127 & 0.3185 \tabularnewline
5 & 1.25598333333333 & 0.0383932009448011 & 0.1265 \tabularnewline
6 & 1.3709 & 0.0545547098208428 & 0.169 \tabularnewline
7 & 1.47045 & 0.103880967720490 & 0.3015 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41746&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]0.945308333333333[/C][C]0.0548850610297777[/C][C]0.1487[/C][/ROW]
[ROW][C]2[/C][C]1.13170833333333[/C][C]0.0498498738638567[/C][C]0.1676[/C][/ROW]
[ROW][C]3[/C][C]1.243875[/C][C]0.0424423700177932[/C][C]0.1417[/C][/ROW]
[ROW][C]4[/C][C]1.22974166666667[/C][C]0.0862996519358127[/C][C]0.3185[/C][/ROW]
[ROW][C]5[/C][C]1.25598333333333[/C][C]0.0383932009448011[/C][C]0.1265[/C][/ROW]
[ROW][C]6[/C][C]1.3709[/C][C]0.0545547098208428[/C][C]0.169[/C][/ROW]
[ROW][C]7[/C][C]1.47045[/C][C]0.103880967720490[/C][C]0.3015[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41746&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41746&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
10.9453083333333330.05488506102977770.1487
21.131708333333330.04984987386385670.1676
31.2438750.04244237001779320.1417
41.229741666666670.08629965193581270.3185
51.255983333333330.03839320094480110.1265
61.37090.05455470982084280.169
71.470450.1038809677204900.3015






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.0216248735739257
beta0.0672620481520728
S.D.0.0572604155251667
T-STAT1.17466922891103
p-value0.29301966383001

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0216248735739257 \tabularnewline
beta & 0.0672620481520728 \tabularnewline
S.D. & 0.0572604155251667 \tabularnewline
T-STAT & 1.17466922891103 \tabularnewline
p-value & 0.29301966383001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41746&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0216248735739257[/C][/ROW]
[ROW][C]beta[/C][C]0.0672620481520728[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0572604155251667[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.17466922891103[/C][/ROW]
[ROW][C]p-value[/C][C]0.29301966383001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41746&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41746&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-0.0216248735739257
beta0.0672620481520728
S.D.0.0572604155251667
T-STAT1.17466922891103
p-value0.29301966383001






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.03861251744071
beta0.93322860736564
S.D.1.0710303565655
T-STAT0.871337214342128
p-value0.423425739739381
Lambda0.06677139263436

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.03861251744071 \tabularnewline
beta & 0.93322860736564 \tabularnewline
S.D. & 1.0710303565655 \tabularnewline
T-STAT & 0.871337214342128 \tabularnewline
p-value & 0.423425739739381 \tabularnewline
Lambda & 0.06677139263436 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41746&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.03861251744071[/C][/ROW]
[ROW][C]beta[/C][C]0.93322860736564[/C][/ROW]
[ROW][C]S.D.[/C][C]1.0710303565655[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.871337214342128[/C][/ROW]
[ROW][C]p-value[/C][C]0.423425739739381[/C][/ROW]
[ROW][C]Lambda[/C][C]0.06677139263436[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41746&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41746&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-3.03861251744071
beta0.93322860736564
S.D.1.0710303565655
T-STAT0.871337214342128
p-value0.423425739739381
Lambda0.06677139263436


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')