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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_meanplot.wasp
Title produced by softwareMean Plot
Date of computationThu, 06 Nov 2008 02:47:45 -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/Nov/06/t1225964957bm968rorr38gaca.htm/, Retrieved Sun, 19 May 2024 05:54:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=21966, Retrieved Sun, 19 May 2024 05:54:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact180

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Mean Plot] [] [2008-11-06 09:47:45] [12ffb3a7dae956baa5ec177e00bd758b] [Current]
F RMP     [Blocked Bootstrap Plot - Central Tendency] [] [2008-11-06 09:56:08] [3d57ec2fca844d53e834bfe876e81f6e]
-    D    [Mean Plot] [] [2008-11-06 11:13:23] [3d57ec2fca844d53e834bfe876e81f6e]
F RMPD    [Kendall tau Correlation Matrix] [] [2008-11-06 11:56:05] [3d57ec2fca844d53e834bfe876e81f6e]
F RMPD    [Star Plot] [] [2008-11-06 12:11:41] [3d57ec2fca844d53e834bfe876e81f6e]
F RMPD    [Notched Boxplots] [] [2008-11-06 12:25:21] [3d57ec2fca844d53e834bfe876e81f6e]
Feedback Forum
2008-11-12 09:31:28 [Evelyn Gabriel] [reply] 
De student heeft ook deze opdracht goed uitgevoerd. Er is inderdaad sprake van seizoenaliteit.
2008-11-12 09:33:44 [Evelyn Gabriel] [reply] 
We kunnen inderdaad concluderen dat de inkepingen van de boxplots elkaar overlappen. Maar het verschil tussen de eerste en de laatste boxplot is zo significant groot dat we dus wel kunnen spreken van een daling.
2008-11-12 10:06:50 [Alexander Hendrickx] [reply] 
Er is zeker sprake van seizoenaliteit, dit werd goed verklaard door de student.
Om het significante verschil te bewijzen heeft de student een notched boxplot gebruikt wat de conclusie goed verduidelijkte.
2008-11-12 10:13:51 [Alexander Hendrickx] [reply] 
de student heeft heeft het aan het rechte eind door te zeggen dat er geen significant verschil is en de daling dus veroorzaakt is door toeval. Maar omdat er een duidlijke neerwaartse trend te zien is, zal er in de toekomst misschien wel een significant verschil zijn. Misscien is eht dus wel interessant bijkomend onderzoek naar de daling te verrichten.
2008-11-12 10:28:44 [Alexander Hendrickx] [reply] 
Er is inderdaad sprake van seizoenaliteit, dit werd op verder verklaard aan de hand van de notched boxplots. Aan de hand van de notched boxplots konden we een siginificant verschil zien, dit was een bewijs van seizoenaliteit.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
109,20
88,60
94,30
98,30
86,40
80,60
104,10
108,20
93,40
71,90
94,10
94,90
96,40
91,10
84,40
86,40
88,00
75,10
109,70
103,00
82,10
68,00
96,40
94,30
90,00
88,00
76,10
82,50
81,40
66,50
97,20
94,10
80,70
70,50
87,80
89,50
99,60
84,20
75,10
92,00
80,80
73,10
99,80
90,00
83,10
72,40
78,80
87,30
91,00
80,10
73,60
86,40
74,50
71,20
92,40
81,50
85,30
69,90
84,20
90,70
100,30

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21966&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=21966&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21966&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'Gwilym Jenkins' @ 72.249.127.135


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+1))
darr <- array(NA,dim=c(par1,np+1))
ari <- array(0,dim=par1)
dx <- diff(x)
j <- 0
for (i in 1:n)
{
j = j + 1
ari[j] = ari[j] + 1
arr[j,ari[j]] <- x[i]
darr[j,ari[j]] <- dx[i]
if (j == par1) j = 0
}
ari
arr
darr
arr.mean <- array(NA,dim=par1)
arr.median <- array(NA,dim=par1)
arr.midrange <- array(NA,dim=par1)
for (j in 1:par1)
{
arr.mean[j] <- mean(arr[j,],na.rm=TRUE)
arr.median[j] <- median(arr[j,],na.rm=TRUE)
arr.midrange[j] <- (quantile(arr[j,],0.75,na.rm=TRUE) + quantile(arr[j,],0.25,na.rm=TRUE)) / 2
}
overall.mean <- mean(x)
overall.median <- median(x)
overall.midrange <- (quantile(x,0.75) + quantile(x,0.25)) / 2
bitmap(file='plot1.png')
plot(arr.mean,type='b',ylab='mean',main='Mean Plot',xlab='Periodic Index')
mtext(paste('#blocks = ',np))
abline(overall.mean,0)
dev.off()
bitmap(file='plot2.png')
plot(arr.median,type='b',ylab='median',main='Median Plot',xlab='Periodic Index')
mtext(paste('#blocks = ',np))
abline(overall.median,0)
dev.off()
bitmap(file='plot3.png')
plot(arr.midrange,type='b',ylab='midrange',main='Midrange Plot',xlab='Periodic Index')
mtext(paste('#blocks = ',np))
abline(overall.midrange,0)
dev.off()
bitmap(file='plot4.png')
z <- data.frame(t(arr))
names(z) <- c(1:par1)
(boxplot(z,notch=TRUE,col='grey',xlab='Periodic Index',ylab='Value',main='Notched Box Plots - Periodic Subseries'))
dev.off()
bitmap(file='plot4b.png')
z <- data.frame(t(darr))
names(z) <- c(1:par1)
(boxplot(z,notch=TRUE,col='grey',xlab='Periodic Index',ylab='Value',main='Notched Box Plots - Differenced Periodic Subseries'))
dev.off()
bitmap(file='plot5.png')
z <- data.frame(arr)
names(z) <- c(1:np)
(boxplot(z,notch=TRUE,col='grey',xlab='Block Index',ylab='Value',main='Notched Box Plots - Sequential Blocks'))
dev.off()
bitmap(file='plot6.png')
z <- data.frame(cbind(arr.mean,arr.median,arr.midrange))
names(z) <- list('mean','median','midrange')
(boxplot(z,notch=TRUE,col='grey',ylab='Overall Central Tendency',main='Notched Box Plots'))
dev.off()