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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_meanplot.wasp
Title produced by softwareMean Plot
Date of computationSun, 02 Nov 2008 15:57:16 -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/02/t1225666713lmxorvi6yqpuq8z.htm/, Retrieved Sun, 19 May 2024 09:40:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20741, Retrieved Sun, 19 May 2024 09:40:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

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] [workshop 3] [2007-10-26 12:14:28] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F    D  [Mean Plot] [Hypothesis Testin...] [2008-10-30 12:52:34] [38f43994ada0e6172896e12525dcc585]
F         [Mean Plot] [Hypothesis Testin...] [2008-11-02 13:37:17] [d32f94eec6fe2d8c421bd223368a5ced]
F    D        [Mean Plot] [Mean plot Belgisc...] [2008-11-02 22:57:16] [382e90e66f02be5ed86892bdc1574692] [Current]
Feedback Forum
2008-11-10 10:00:20 [Steffi Van Isveldt] [reply] 
Ja kan inderdaad een outlier opmerken in de 3de maand (augustus).
2008-11-10 16:05:11 [Michael Van Spaandonck] [reply] 
Ivm gemiddelde, median en midrange springt de outlier bij de 3e observatie (d.i. de maand augustus) in het oog. Verder zien we een verloop dat niet dusdanig speciaal is dat het verder besproken dient te worden.

De periodic subseries bevestigen in principe de conclusies uit bovenstaande alinea's maar geven ook enkele interessante outliers mee. Bovendien zien we dat de volledige gegevensspreiding van de maanden 7 en 11 (zijnde december en april) erg klein is, wat betekent dat dit cijfer door de jaren heen weinig varieerde.

Sequential blocks wijzen op een erg kleine spreiding van de gegevens doorheen jaar 1. Van jaar 1 tot 5 zien we een stijging van de mediaan, maar geen van deze stijgingen is significant te noemen wanneer je ziet dat de blocks elkaar bij iedere vergelijking telkens grotendeels overlappen.

Tot slot zien we dat gemiddelde, mediaan, midrange en hun volledige spreiding weinig variëren.
2008-11-11 23:53:04 [Evelien Blockx] [reply] 
Wanneer ik de periodic subseries bekijk, blijkt dat er een significant verschil is tussen juli en augustus. Dit is trouwens niet het enige significante verschil. Er is seizoenaliteit aanwezig.

Wanneer ik de sequential blocks bekijk, merk ik dat er geen significante stijging of daling is over de jaren heen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
692,4
877,3
536,8
705,9
951
755,7
695,5
744,8
672,1
666,6
760,8
756
604,4
883,9
527,9
756,2
812,9
655,6
707,6
612,6
659,2
833,4
727,8
797,2
753
762
613,7
759,2
816,4
736,8
680,1
736,5
637,2
801,9
772,3
897,3
792,1
826,8
666,8
906,6
871,4
891
739,2
833,6
715,6
871,6
751,6
1005,5
681,2
837,3
674,7
806,3
860,2
689,8
691,6
682,6
800,1
1023,7
733,5
875,3

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20741&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20741&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20741&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'George Udny Yule' @ 72.249.76.132


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))
ari <- array(0,dim=par1)
j <- 0
for (i in 1:n)
{
j = j + 1
ari[j] = ari[j] + 1
arr[j,ari[j]] <- x[i]
if (j == par1) j = 0
}
ari
arr
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='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()