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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 computationWed, 17 Dec 2008 12:22:22 -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/17/t1229541771hjywm7o51662ydy.htm/, Retrieved Sun, 26 May 2024 20:41:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34507, Retrieved Sun, 26 May 2024 20:41:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact323

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Correlation: inve...] [2008-12-16 19:18:46] [5161246d1ccc1b670cc664d03050f084]
- RMPD  [Univariate Data Series] [] [2008-12-17 14:56:45] [b98453cac15ba1066b407e146608df68]
- RMP       [Standard Deviation-Mean Plot] [] [2008-12-17 19:22:22] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-    D        [Standard Deviation-Mean Plot] [SDM van x] [2009-01-29 16:24:54] [44ec60eb6065a3f81a5f756bd5af1faf]
-  MPD        [Standard Deviation-Mean Plot] [Standard Deviatio...] [2009-12-15 19:47:25] [1eab65e90adf64584b8e6f0da23ff414]
-   PD          [Standard Deviation-Mean Plot] [Standard Deviatio...] [2009-12-19 18:05:59] [1eab65e90adf64584b8e6f0da23ff414]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1721
1476
1842
2171
1670
1540
1266
897
1266
1519
1074
1435
1385
1440
1883
1822
1661
1774
1133
1361
1688
2216
2896
1382
1330
1419
1662
2040
2126
1649
1610
1952
2102
1749
2091
3036
2414
2097
2705
2431
4192
3990
2854
1966
2431
2763
2831
2023
2934
2489
3252
3018
3193
3976
2584
2512
2169
2504
1843
1408
2179
3690
2372
2494
3872
2786
2312
1599
3167
3433
2648
1978
1947
3113
2856
3174
3507
4174
2978
4428
2832
2930
3681
3253
1660
2208
3139
3409
3445
2410
3262
2897
2526
3982
4097
3403
3362
2708
3129
3550
2696
2885
2945
3600
3808
3671
4005

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34507&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34507&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34507&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11489.75344.4421379036491274
21720.08333333333472.104082964251763
31897.16666666667449.6333523162531706
42724.75708.0637009093562226
52656.83333333333682.6991661889972568
62710.83333333333702.1553613803372273
73239.41666666667655.0942275502792481
83036.5724.4857110078472437

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1489.75 & 344.442137903649 & 1274 \tabularnewline
2 & 1720.08333333333 & 472.10408296425 & 1763 \tabularnewline
3 & 1897.16666666667 & 449.633352316253 & 1706 \tabularnewline
4 & 2724.75 & 708.063700909356 & 2226 \tabularnewline
5 & 2656.83333333333 & 682.699166188997 & 2568 \tabularnewline
6 & 2710.83333333333 & 702.155361380337 & 2273 \tabularnewline
7 & 3239.41666666667 & 655.094227550279 & 2481 \tabularnewline
8 & 3036.5 & 724.485711007847 & 2437 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34507&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]1489.75[/C][C]344.442137903649[/C][C]1274[/C][/ROW]
[ROW][C]2[/C][C]1720.08333333333[/C][C]472.10408296425[/C][C]1763[/C][/ROW]
[ROW][C]3[/C][C]1897.16666666667[/C][C]449.633352316253[/C][C]1706[/C][/ROW]
[ROW][C]4[/C][C]2724.75[/C][C]708.063700909356[/C][C]2226[/C][/ROW]
[ROW][C]5[/C][C]2656.83333333333[/C][C]682.699166188997[/C][C]2568[/C][/ROW]
[ROW][C]6[/C][C]2710.83333333333[/C][C]702.155361380337[/C][C]2273[/C][/ROW]
[ROW][C]7[/C][C]3239.41666666667[/C][C]655.094227550279[/C][C]2481[/C][/ROW]
[ROW][C]8[/C][C]3036.5[/C][C]724.485711007847[/C][C]2437[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34507&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34507&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
11489.75344.4421379036491274
21720.08333333333472.104082964251763
31897.16666666667449.6333523162531706
42724.75708.0637009093562226
52656.83333333333682.6991661889972568
62710.83333333333702.1553613803372273
73239.41666666667655.0942275502792481
83036.5724.4857110078472437






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha81.6519375267499
beta0.209776242084362
S.D.0.0363971922221236
T-STAT5.76352815360443
p-value0.00118982345980180

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 81.6519375267499 \tabularnewline
beta & 0.209776242084362 \tabularnewline
S.D. & 0.0363971922221236 \tabularnewline
T-STAT & 5.76352815360443 \tabularnewline
p-value & 0.00118982345980180 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34507&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]81.6519375267499[/C][/ROW]
[ROW][C]beta[/C][C]0.209776242084362[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0363971922221236[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.76352815360443[/C][/ROW]
[ROW][C]p-value[/C][C]0.00118982345980180[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34507&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34507&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)
alpha81.6519375267499
beta0.209776242084362
S.D.0.0363971922221236
T-STAT5.76352815360443
p-value0.00118982345980180






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.768203417353166
beta0.917237288486642
S.D.0.131224178967421
T-STAT6.98984970379858
p-value0.000426830055898854
Lambda0.0827627115133579

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.768203417353166 \tabularnewline
beta & 0.917237288486642 \tabularnewline
S.D. & 0.131224178967421 \tabularnewline
T-STAT & 6.98984970379858 \tabularnewline
p-value & 0.000426830055898854 \tabularnewline
Lambda & 0.0827627115133579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34507&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.768203417353166[/C][/ROW]
[ROW][C]beta[/C][C]0.917237288486642[/C][/ROW]
[ROW][C]S.D.[/C][C]0.131224178967421[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.98984970379858[/C][/ROW]
[ROW][C]p-value[/C][C]0.000426830055898854[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0827627115133579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34507&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34507&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-0.768203417353166
beta0.917237288486642
S.D.0.131224178967421
T-STAT6.98984970379858
p-value0.000426830055898854
Lambda0.0827627115133579


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')