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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 13:16:04 -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/t1225657047tv0tvjexwwq6fmg.htm/, Retrieved Mon, 20 May 2024 02:40:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20718, Retrieved Mon, 20 May 2024 02:40:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160

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...] [2008-11-02 20:16:04] [d7f41258beeebb8716e3f5d39f3cdc01] [Current]
F R  D      [Mean Plot] [Hypothesis testin...] [2008-11-03 18:37:43] [2d4aec5ed1856c4828162be37be304d9]
F    D      [Mean Plot] [Hypothesis testin...] [2008-11-03 19:03:36] [2d4aec5ed1856c4828162be37be304d9]
F RMPD      [Kendall tau Correlation Matrix] [Hypothesis testin...] [2008-11-03 19:52:22] [2d4aec5ed1856c4828162be37be304d9]
F RMPD      [Star Plot] [Hypothesis testin...] [2008-11-03 20:03:13] [2d4aec5ed1856c4828162be37be304d9]
F RMPD      [Notched Boxplots] [Hypothesis testin...] [2008-11-03 20:09:32] [2d4aec5ed1856c4828162be37be304d9]
Feedback Forum
2008-11-05 14:47:11 [Peter Melgers] [reply] 
Zowel het Mean Plot, het Median Plot, het Midrange Plot en het Notched Box Plot (Periodic Subseries) zeggen hetzelfde.

Op de x-as staat de periode, in dit geval uitgedrukt in maanden (blockwidth 12). De eerste observatie (eerste bolletje) omvat het gemiddelde van maart, aangezien de datareeks begint bij maart.

De beentjes op het Notched Box Plot willen gewoon zeggen dat de spreiding groter is dan het 3de kwartiel.

Er is zeker seizonaliteit merkbaar in de datareeks. Tussen maand 6 en 7 stijgt het gemiddelde enorm, dit is te wijten aan seizonaliteit (ook vallen de medianen van maand 6 en 7 totaal niet bij elkaar in het betrouwbaarheidsinterval). Hetzelfde is ook duidelijk merkbaar bij maand 9 naar maand 10 en maand 10 naar maand 11.
2008-11-05 14:51:10 [Peter Melgers] [reply] 
Bemerking bij question 3:

De mediaan ligt elk jaar lager, maar niet significant lager aangezien de notches overeen komen, wat wil zeggen dat het om een toevalligheid gaat.

Wanneer we jaar 1 gaan vergelijken met jaar 5 is het nog een twijfelgeval aangezien de notches maar heel nipt overeenkomen.

Conclusie: er is een verschil maar geen significant verschil.
  2008-11-05 14:52:24 [Peter Melgers] [reply] 
Er is geen significant verschil aangezien alles in elkaars betrouwbaarheidsinterval valt.
2008-11-07 13:41:09 [Sofie Vanbrabant] [reply] 
Ik ga akkoord met je eigen commentaar op vraag 2 en 3.

Post a new message

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=20718&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=20718&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20718&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))
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()