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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 computationThu, 30 Oct 2008 11:46:49 -0600
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/Oct/30/t12253888419bj6wlu4pxyi2tb.htm/, Retrieved Sun, 19 May 2024 14:41:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20142, Retrieved Sun, 19 May 2024 14:41:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact178

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] [Q2:Mean plot] [2008-10-30 13:08:02] [1ce0d16c8f4225c977b42c8fa93bc163]
F    D      [Mean Plot] [Task 5(4)] [2008-10-30 17:46:49] [8758b22b4a10c08c31202f233362e983] [Current]
Feedback Forum
2008-11-10 17:22:11 [Matthieu Blondeau] [reply] 
In de Mean Plot zien we een meerdere grote verschillen. Maar als men gaat zien in de Notched Box Plots Periodic Subseries merken we dat deze verschillen niet significant zijn en dat dit verschil te wijten is aan het toeval.

Als we naar de grenzen van de verschillende boxplots kijken, merken we op dat de betrouwbaarheidsintervallen elkaar altijd overlappen.

In de sequential blocks kan men na het 4de jaar een significante stijging terug vinden ten opzichte van de eerste jaren.
2008-11-11 14:52:38 [Liese Tormans] [reply] 
Als we kijken naar de eerste drie grafieken de mean, de midrange en de median plot. Zien we dat er grote schommelingen merkbaar zijn. Maar wanneer de tijdreeksen bij de periodic subseries notches weergeven worden kunnen we toch zien dat de verschillen niet significant zijn. Want de notches vallen in elkaars betrouwbaarheidsinterval.

Bij de sequential notches zien we dat in jaar 3 een outlier naar boven zichtbaar is, en dat in jaar 5 de notch boven het betrouwbaarheidsinterval van de vorige notches valt, We kunnen dus spreken van een significante stijging. Ook in jaar 8 is er een significante stijging zichtbaar.
2008-11-11 21:08:34 [Joachim Van Hemelen] [reply] 
De mean plot, median plot en midrange plot geven grote schommelingen aan. Enkel door notched box plot - periodic subseries te analyseren kunnen er significante verschillen opgemerkt worden. Deze zijn er niet, alle betrouwbaarheidsintervallen overlappen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3467,9
3256,6
3711,1
3597,7
4181,1
4346,5
3646,6
3918,8
3531,8
3976
3510,2
3882,9
3630,4
3519,9
3376,1
3057,9
3646,7
3585,5
3007,7
3545
3295,6
3390,3
3531,9
3738,7
3477
3338,3
3264,4
3452,4
4045,1
3660,5
3584,9
3819,9
3409,2
3643,5
3673,3
3645,2
3421,3
3531,4
3219,2
3552,3
3787,7
3392,7
3550
3681,9
3519,1
4283,2
4046,2
3824,9
4793,1
3977,7
3983,4
4152,9
4286,1
4348,1
3949,3
4166,7
4217,9
4528,2
4232,2
4470,9
5121,2
4170,8
4398,6
4491,4
4251,8
4901,9
4745,2
4666,9
4210,4
5273,6
4095,3
4610,1
4718,1
4185,5
4314,7
4422,6
5059,2
5043,6
4436,6
4922,6
4454,8
5058,7
4768,9
5171,8
4989,3
5202,1
4838,4
4876,5
5845,3
5686,3
4753,8
6620,4
5597,2
5643,5
6357,3
5909,1
6165,8

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20142&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]4 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=20142&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20142&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 time4 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()