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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, 10 Dec 2008 11:16:19 -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/2008/Dec/10/t1228933018q4xlcwn4yr0as9v.htm/, Retrieved Thu, 09 May 2024 11:59:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32056, Retrieved Thu, 09 May 2024 11:59:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact208

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] [mean plot bel20] [2008-12-10 18:16:19] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-    D    [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-14 18:42:41] [629740e107727857ef4896c7a406110f]
-  M D    [Standard Deviation-Mean Plot] [] [2009-12-15 12:36:38] [2f674a53c3d7aaa1bcf80e66074d3c9b]
-   PD      [Standard Deviation-Mean Plot] [] [2009-12-15 15:35:02] [2f674a53c3d7aaa1bcf80e66074d3c9b]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-18 14:18:13] [2f674a53c3d7aaa1bcf80e66074d3c9b]
-    D      [Standard Deviation-Mean Plot] [] [2010-12-22 19:40:05] [82643889efeee0b265cd2ff213e5137b]
-             [Standard Deviation-Mean Plot] [] [2010-12-22 20:22:11] [adca540665f1dd1a5a4406fd7f55bdf4]
-    D      [Standard Deviation-Mean Plot] [] [2010-12-22 19:39:34] [82643889efeee0b265cd2ff213e5137b]
-             [Standard Deviation-Mean Plot] [] [2010-12-22 20:23:10] [adca540665f1dd1a5a4406fd7f55bdf4]
-    D      [Standard Deviation-Mean Plot] [] [2010-12-22 19:38:36] [82643889efeee0b265cd2ff213e5137b]
-             [Standard Deviation-Mean Plot] [] [2010-12-22 20:24:16] [adca540665f1dd1a5a4406fd7f55bdf4]
- RMPD    [Kendall tau Rank Correlation] [] [2009-12-15 12:50:02] [2f674a53c3d7aaa1bcf80e66074d3c9b]
- RMPD    [Kendall tau Correlation Matrix] [] [2009-12-15 12:54:03] [2f674a53c3d7aaa1bcf80e66074d3c9b]
-    D      [Kendall tau Correlation Matrix] [] [2009-12-15 15:05:03] [2f674a53c3d7aaa1bcf80e66074d3c9b]
-   PD        [Kendall tau Correlation Matrix] [paper] [2010-12-24 09:31:35] [960f506a46b790b06fab7ca57984a121]
- RMPD    [Partial Correlation] [] [2009-12-15 13:13:57] [2f674a53c3d7aaa1bcf80e66074d3c9b]
-  M D    [Standard Deviation-Mean Plot] [bel 20 standard d...] [2009-12-19 09:54:01] [a18c43c8b63fa6800a53bb187b9ddd45]
-    D      [Standard Deviation-Mean Plot] [Werkloosheid vrou...] [2010-12-26 16:31:40] [e4afca2801c0b93eac84a600ed82fb9c]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3230,66
3361,13
3484,74
3411,13
3288,18
3280,37
3173,95
3165,26
3092,71
3053,05
3181,96
2999,93
3249,57
3210,52
3030,29
2803,47
2767,63
2882,6
2863,36
2897,06
3012,61
3142,95
3032,93
3045,78
3110,52
3013,24
2987,1
2995,55
2833,18
2848,96
2794,83
2845,26
2915,02
2892,63
2604,42
2641,65
2659,81
2638,53
2720,25
2745,88
2735,7
2811,7
2799,43
2555,28
2304,98
2214,95
2065,81
1940,49
2042
1995,37
1946,81
1765,9
1635,25
1833,42
1910,43
1959,67
1969,6
2061,41
2093,48
2120,88
2174,56
2196,72
2350,44
2440,25
2408,64
2472,81
2407,6
2454,62
2448,05
2497,84
2645,64
2756,76
2849,27
2921,44
2981,85
3080,58
3106,22
3119,31
3061,26
3097,31
3161,69
3257,16
3277,01
3295,32
3363,99
3494,17
3667,03
3813,06
3917,96
3895,51
3801,06
3570,12
3701,61
3862,27
3970,1
4138,52
4199,75
4290,89
4443,91
4502,64
4356,98
4591,27
4696,96
4621,4
4562,84
4202,52
4296,49
4435,23
4105,18
4116,68
3844,49
3720,98
3674,4
3857,62
3801,06
3504,37
3032,6
3047,03
2962,34
2197,82
2014,45

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=32056&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=32056&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32056&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
13226.9225145.676234233503484.81
22994.8975155.69567408745481.94
32873.53148.007867235618506.1
42516.0675304.045920817743871.21
51944.51833333333141.731315769300485.63
62437.8275161.517349595808582.2
73100.70166666667137.836137815447446.05
83766.28333333333217.593686252542774.53
94433.40666666667166.292423614292497.21
103488.71416666667569.678808124821918.86

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3226.9225 & 145.676234233503 & 484.81 \tabularnewline
2 & 2994.8975 & 155.69567408745 & 481.94 \tabularnewline
3 & 2873.53 & 148.007867235618 & 506.1 \tabularnewline
4 & 2516.0675 & 304.045920817743 & 871.21 \tabularnewline
5 & 1944.51833333333 & 141.731315769300 & 485.63 \tabularnewline
6 & 2437.8275 & 161.517349595808 & 582.2 \tabularnewline
7 & 3100.70166666667 & 137.836137815447 & 446.05 \tabularnewline
8 & 3766.28333333333 & 217.593686252542 & 774.53 \tabularnewline
9 & 4433.40666666667 & 166.292423614292 & 497.21 \tabularnewline
10 & 3488.71416666667 & 569.67880812482 & 1918.86 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32056&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]3226.9225[/C][C]145.676234233503[/C][C]484.81[/C][/ROW]
[ROW][C]2[/C][C]2994.8975[/C][C]155.69567408745[/C][C]481.94[/C][/ROW]
[ROW][C]3[/C][C]2873.53[/C][C]148.007867235618[/C][C]506.1[/C][/ROW]
[ROW][C]4[/C][C]2516.0675[/C][C]304.045920817743[/C][C]871.21[/C][/ROW]
[ROW][C]5[/C][C]1944.51833333333[/C][C]141.731315769300[/C][C]485.63[/C][/ROW]
[ROW][C]6[/C][C]2437.8275[/C][C]161.517349595808[/C][C]582.2[/C][/ROW]
[ROW][C]7[/C][C]3100.70166666667[/C][C]137.836137815447[/C][C]446.05[/C][/ROW]
[ROW][C]8[/C][C]3766.28333333333[/C][C]217.593686252542[/C][C]774.53[/C][/ROW]
[ROW][C]9[/C][C]4433.40666666667[/C][C]166.292423614292[/C][C]497.21[/C][/ROW]
[ROW][C]10[/C][C]3488.71416666667[/C][C]569.67880812482[/C][C]1918.86[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32056&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32056&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
13226.9225145.676234233503484.81
22994.8975155.69567408745481.94
32873.53148.007867235618506.1
42516.0675304.045920817743871.21
51944.51833333333141.731315769300485.63
62437.8275161.517349595808582.2
73100.70166666667137.836137815447446.05
83766.28333333333217.593686252542774.53
94433.40666666667166.292423614292497.21
103488.71416666667569.678808124821918.86






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha110.042247050392
beta0.0340336354408788
S.D.0.0657633963880198
T-STAT0.517516389209465
p-value0.618797535077118

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 110.042247050392 \tabularnewline
beta & 0.0340336354408788 \tabularnewline
S.D. & 0.0657633963880198 \tabularnewline
T-STAT & 0.517516389209465 \tabularnewline
p-value & 0.618797535077118 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32056&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]110.042247050392[/C][/ROW]
[ROW][C]beta[/C][C]0.0340336354408788[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0657633963880198[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.517516389209465[/C][/ROW]
[ROW][C]p-value[/C][C]0.618797535077118[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32056&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32056&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)
alpha110.042247050392
beta0.0340336354408788
S.D.0.0657633963880198
T-STAT0.517516389209465
p-value0.618797535077118






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.97637851398292
beta0.409432224718585
S.D.0.666394831585871
T-STAT0.614398859823428
p-value0.556017729690558
Lambda0.590567775281415

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.97637851398292 \tabularnewline
beta & 0.409432224718585 \tabularnewline
S.D. & 0.666394831585871 \tabularnewline
T-STAT & 0.614398859823428 \tabularnewline
p-value & 0.556017729690558 \tabularnewline
Lambda & 0.590567775281415 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32056&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.97637851398292[/C][/ROW]
[ROW][C]beta[/C][C]0.409432224718585[/C][/ROW]
[ROW][C]S.D.[/C][C]0.666394831585871[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.614398859823428[/C][/ROW]
[ROW][C]p-value[/C][C]0.556017729690558[/C][/ROW]
[ROW][C]Lambda[/C][C]0.590567775281415[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32056&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32056&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)
alpha1.97637851398292
beta0.409432224718585
S.D.0.666394831585871
T-STAT0.614398859823428
p-value0.556017729690558
Lambda0.590567775281415


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')