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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSat, 02 Oct 2010 17:54:34 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/02/t12860421257juhqnk2u12d14h.htm/, Retrieved Sat, 04 May 2024 02:51:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=80088, Retrieved Sat, 04 May 2024 02:51:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Pearson Correlation] [Screen dimensions] [2010-09-25 10:10:17] [b98453cac15ba1066b407e146608df68]
F    D    [Pearson Correlation] [Task 8 Scatterplots] [2010-10-02 17:54:34] [628a2d48b4bd249e4129ba023c5511b0] [Current]
Feedback Forum
2010-10-09 11:19:23 [01b8b2bcf185aaeb880175e70c026485] [reply] 
Bij deze opdracht moest je eigenlijk niets herberekenen. Het is de bedoeling dat je drie stralen ziet en dat zijn de verhoudingen van je schermen. Verder kunnen we zeggen dat er een positief verband is tussen hoogte en breedte.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1120
1280
1280
1280
1280
1280
1440
1280
1280
1176
1280
1440
1280
1280
1440
1280
1440
1440
1280
1440
1280
1408
1176
1920
1280
1280
1440
1680
1440
1280
1280
1280
1280
1440
1280
1280
1440
1280
1440
1280
1280
1440
1280
1280
1280
1440
1280
1280
1440
1280
1280
1408
1280
1680
1440
1440
1280
1280
1280
1280
1440
1280
1440
1024
1280
1440
1280
1280
1280
1440
1280
1680
1680
1280
1440
1280
1280
1280
1280
Dataseries Y:
Download CSV
Histogram 
700
800
800
800
800
800
900
800
800
735
800
900
800
800
900
800
900
900
800
900
800
880
735
1200
800
800
900
1050
900
800
800
800
800
900
800
800
900
800
900
800
800
900
800
800
800
900
800
800
900
800
800
880
800
1050
900
900
800
800
800
800
900
800
900
640
800
900
800
800
800
900
800
1050
1050
800
900
800
800
800
800

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80088&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80088&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80088&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1346.22784810127841.392405063291
Biased Variance17547.23922448336854.39032206377
Biased Standard Deviation132.46599270938782.7912454433666
Covariance11107.6273937033
Correlation1
Determination1
T-TestInf
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom77
Number of Observations79

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1346.22784810127 & 841.392405063291 \tabularnewline
Biased Variance & 17547.2392244833 & 6854.39032206377 \tabularnewline
Biased Standard Deviation & 132.465992709387 & 82.7912454433666 \tabularnewline
Covariance & 11107.6273937033 \tabularnewline
Correlation & 1 \tabularnewline
Determination & 1 \tabularnewline
T-Test & Inf \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 77 \tabularnewline
Number of Observations & 79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80088&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]1346.22784810127[/C][C]841.392405063291[/C][/ROW]
[ROW][C]Biased Variance[/C][C]17547.2392244833[/C][C]6854.39032206377[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]132.465992709387[/C][C]82.7912454433666[/C][/ROW]
[ROW][C]Covariance[/C][C]11107.6273937033[/C][/ROW]
[ROW][C]Correlation[/C][C]1[/C][/ROW]
[ROW][C]Determination[/C][C]1[/C][/ROW]
[ROW][C]T-Test[/C][C]Inf[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]77[/C][/ROW]
[ROW][C]Number of Observations[/C][C]79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80088&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80088&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:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1346.22784810127841.392405063291
Biased Variance17547.23922448336854.39032206377
Biased Standard Deviation132.46599270938782.7912454433666
Covariance11107.6273937033
Correlation1
Determination1
T-TestInf
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom77
Number of Observations79


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson')
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')