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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 computationSun, 06 Jun 2010 19:23:44 +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/2010/Jun/06/t1275852264nhohjccgkirlxcl.htm/, Retrieved Sun, 28 Apr 2024 04:16:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77773, Retrieved Sun, 28 Apr 2024 04:16:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact122

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] [Opgave 8 Oefening...] [2010-06-06 19:23:44] [5a7cbdb73d36823522b207a888c6ba9b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.9383
0.9217
0.9095
0.8920
0.8742
0.8607
0.8607
0.9005
0.9111
0.9059
0.8883
0.8924
0.8833
0.8700
0.8758
0.8858
0.9170
0.9554
0.9922
0.9778
0.9808
0.9811
1.0014
1.0183
1.0622
1.0773
1.0807
1.0848
1.1582
1.1663
1.1372
1.1139
1.1222
1.1692
1.1702
1.2286
1.2613
1.2646
1.2262
1.1985
1.2007
1.2138
1.2266
1.2176
1.2218
1.2490
1.2991
1.3408
1.3119
1.3014
1.3201
1.2938
1.2694
1.2165
1.2037
1.2292
1.2256
1.2015
1.1786
1.1856
1.2103
1.1938
1.2020
1.2271
1.2770
1.2650
1.2684
1.2811
1.2727
1.2611
1.2881
1.3213
1.2999
1.3074
1.3242
1.3516
1.3511
1.3419
1.3716
1.3622
1.3896
1.4227
1.4684
1.4570
1.4718
1.4748
1.5527
1.5751
1.5557
1.5553
1.5770
1.4975
1.4370
1.3322
1.2732
1.3449
1.3239
1.2785
1.3050
1.3190
1.3650
1.4016
1.4088
1.4268
1.4562
1.4816
1.4914
1.4614

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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77773&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77773&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77773&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.8962750.02341922772579670.0776
20.9449083333333330.05482170204537170.1483
31.13090.04972414814846910.1664
41.243333333333330.0424437024632380.1423
51.2447750.05156309682850180.1415
61.255658333333330.03886141948311230.1275
71.370633333333330.05467872003112750.1685
81.47060.1040940047177640.3038
91.393266666666670.07358332732763630.2129

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.896275 & 0.0234192277257967 & 0.0776 \tabularnewline
2 & 0.944908333333333 & 0.0548217020453717 & 0.1483 \tabularnewline
3 & 1.1309 & 0.0497241481484691 & 0.1664 \tabularnewline
4 & 1.24333333333333 & 0.042443702463238 & 0.1423 \tabularnewline
5 & 1.244775 & 0.0515630968285018 & 0.1415 \tabularnewline
6 & 1.25565833333333 & 0.0388614194831123 & 0.1275 \tabularnewline
7 & 1.37063333333333 & 0.0546787200311275 & 0.1685 \tabularnewline
8 & 1.4706 & 0.104094004717764 & 0.3038 \tabularnewline
9 & 1.39326666666667 & 0.0735833273276363 & 0.2129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77773&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]0.896275[/C][C]0.0234192277257967[/C][C]0.0776[/C][/ROW]
[ROW][C]2[/C][C]0.944908333333333[/C][C]0.0548217020453717[/C][C]0.1483[/C][/ROW]
[ROW][C]3[/C][C]1.1309[/C][C]0.0497241481484691[/C][C]0.1664[/C][/ROW]
[ROW][C]4[/C][C]1.24333333333333[/C][C]0.042443702463238[/C][C]0.1423[/C][/ROW]
[ROW][C]5[/C][C]1.244775[/C][C]0.0515630968285018[/C][C]0.1415[/C][/ROW]
[ROW][C]6[/C][C]1.25565833333333[/C][C]0.0388614194831123[/C][C]0.1275[/C][/ROW]
[ROW][C]7[/C][C]1.37063333333333[/C][C]0.0546787200311275[/C][C]0.1685[/C][/ROW]
[ROW][C]8[/C][C]1.4706[/C][C]0.104094004717764[/C][C]0.3038[/C][/ROW]
[ROW][C]9[/C][C]1.39326666666667[/C][C]0.0735833273276363[/C][C]0.2129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77773&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77773&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
10.8962750.02341922772579670.0776
20.9449083333333330.05482170204537170.1483
31.13090.04972414814846910.1664
41.243333333333330.0424437024632380.1423
51.2447750.05156309682850180.1415
61.255658333333330.03886141948311230.1275
71.370633333333330.05467872003112750.1685
81.47060.1040940047177640.3038
91.393266666666670.07358332732763630.2129






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.045544955016133
beta0.082471696696107
S.D.0.0315017180480556
T-STAT2.61800631223659
p-value0.0345090975524583

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.045544955016133 \tabularnewline
beta & 0.082471696696107 \tabularnewline
S.D. & 0.0315017180480556 \tabularnewline
T-STAT & 2.61800631223659 \tabularnewline
p-value & 0.0345090975524583 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77773&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.045544955016133[/C][/ROW]
[ROW][C]beta[/C][C]0.082471696696107[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0315017180480556[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.61800631223659[/C][/ROW]
[ROW][C]p-value[/C][C]0.0345090975524583[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77773&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77773&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-0.045544955016133
beta0.082471696696107
S.D.0.0315017180480556
T-STAT2.61800631223659
p-value0.0345090975524583






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.29760599153613
beta1.73472552863475
S.D.0.642674296563227
T-STAT2.69922966876284
p-value0.0306731995030846
Lambda-0.73472552863475

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.29760599153613 \tabularnewline
beta & 1.73472552863475 \tabularnewline
S.D. & 0.642674296563227 \tabularnewline
T-STAT & 2.69922966876284 \tabularnewline
p-value & 0.0306731995030846 \tabularnewline
Lambda & -0.73472552863475 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77773&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.29760599153613[/C][/ROW]
[ROW][C]beta[/C][C]1.73472552863475[/C][/ROW]
[ROW][C]S.D.[/C][C]0.642674296563227[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.69922966876284[/C][/ROW]
[ROW][C]p-value[/C][C]0.0306731995030846[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.73472552863475[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77773&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77773&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-3.29760599153613
beta1.73472552863475
S.D.0.642674296563227
T-STAT2.69922966876284
p-value0.0306731995030846
Lambda-0.73472552863475


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')