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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 computationSat, 06 Dec 2008 03:36:56 -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/06/t1228559994lrk3m9wa6146bnh.htm/, Retrieved Sun, 26 May 2024 08:41:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29481, Retrieved Sun, 26 May 2024 08:41:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact211

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP   [Standard Deviation-Mean Plot] [sdm ] [2008-12-05 13:33:27] [de72ca3f4fcfd0997c84e1ac92aea119]
F    D      [Standard Deviation-Mean Plot] [Q1 eigen tijdreeks] [2008-12-06 10:36:56] [56fd94b954e08a6655cb7790b21ee404] [Current]
Feedback Forum
2008-12-14 14:09:54 [Hannes Van Hoof] [reply] 
Je conclusie is hier zeer juist. De p-waarde is zeer hoog, het verband tussen de SD en de mean plot is dus waarschijnlijk aan het toeval te wijten. Het is best dat we de gevonden lambda waarde niet gebruiken.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,9059
0,8883
0,8924
0,8833
0,87
0,8758
0,8858
0,917
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
1,249
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
1,202
1,2271
1,277
1,265
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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29481&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]3 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=29481&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29481&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.9187250.04515488748337620.1222
21.083633333333330.06009093613899360.1852
31.216591666666670.02962534106695370.0954
41.271708333333330.0457043355479410.1371
51.230258333333330.03961033975051860.102500000000000
61.330833333333330.03740870908159640.128500000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.918725 & 0.0451548874833762 & 0.1222 \tabularnewline
2 & 1.08363333333333 & 0.0600909361389936 & 0.1852 \tabularnewline
3 & 1.21659166666667 & 0.0296253410669537 & 0.0954 \tabularnewline
4 & 1.27170833333333 & 0.045704335547941 & 0.1371 \tabularnewline
5 & 1.23025833333333 & 0.0396103397505186 & 0.102500000000000 \tabularnewline
6 & 1.33083333333333 & 0.0374087090815964 & 0.128500000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29481&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]0.918725[/C][C]0.0451548874833762[/C][C]0.1222[/C][/ROW]
[ROW][C]2[/C][C]1.08363333333333[/C][C]0.0600909361389936[/C][C]0.1852[/C][/ROW]
[ROW][C]3[/C][C]1.21659166666667[/C][C]0.0296253410669537[/C][C]0.0954[/C][/ROW]
[ROW][C]4[/C][C]1.27170833333333[/C][C]0.045704335547941[/C][C]0.1371[/C][/ROW]
[ROW][C]5[/C][C]1.23025833333333[/C][C]0.0396103397505186[/C][C]0.102500000000000[/C][/ROW]
[ROW][C]6[/C][C]1.33083333333333[/C][C]0.0374087090815964[/C][C]0.128500000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29481&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29481&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
10.9187250.04515488748337620.1222
21.083633333333330.06009093613899360.1852
31.216591666666670.02962534106695370.0954
41.271708333333330.0457043355479410.1371
51.230258333333330.03961033975051860.102500000000000
61.330833333333330.03740870908159640.128500000000000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0791705808258453
beta-0.0308333301500609
S.D.0.0305130816029635
T-STAT-1.01049545081236
p-value0.369418618925884

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0791705808258453 \tabularnewline
beta & -0.0308333301500609 \tabularnewline
S.D. & 0.0305130816029635 \tabularnewline
T-STAT & -1.01049545081236 \tabularnewline
p-value & 0.369418618925884 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29481&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0791705808258453[/C][/ROW]
[ROW][C]beta[/C][C]-0.0308333301500609[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0305130816029635[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.01049545081236[/C][/ROW]
[ROW][C]p-value[/C][C]0.369418618925884[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29481&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29481&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)
alpha0.0791705808258453
beta-0.0308333301500609
S.D.0.0305130816029635
T-STAT-1.01049545081236
p-value0.369418618925884






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.05493630260437
beta-0.75583035803014
S.D.0.785698211768153
T-STAT-0.961985590280526
p-value0.390533220558701
Lambda1.75583035803014

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.05493630260437 \tabularnewline
beta & -0.75583035803014 \tabularnewline
S.D. & 0.785698211768153 \tabularnewline
T-STAT & -0.961985590280526 \tabularnewline
p-value & 0.390533220558701 \tabularnewline
Lambda & 1.75583035803014 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29481&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.05493630260437[/C][/ROW]
[ROW][C]beta[/C][C]-0.75583035803014[/C][/ROW]
[ROW][C]S.D.[/C][C]0.785698211768153[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.961985590280526[/C][/ROW]
[ROW][C]p-value[/C][C]0.390533220558701[/C][/ROW]
[ROW][C]Lambda[/C][C]1.75583035803014[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29481&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29481&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-3.05493630260437
beta-0.75583035803014
S.D.0.785698211768153
T-STAT-0.961985590280526
p-value0.390533220558701
Lambda1.75583035803014


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')