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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_correlation.wasp

Title produced by software

Pearson Correlation

Date of computation

Sun, 18 Oct 2015 18:38:56 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Oct/18/t144518996883m314t9soj5vq6.htm/, Retrieved Tue, 14 May 2024 03:32:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=282612, Retrieved Tue, 14 May 2024 03:32:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

162

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Pearson Correlation] [Pearson correlati...] [2015-10-18 17:38:56] [5eae771eefaa5abbaf99704992f3e883] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

NA
NA
4
NA
NA
NA
5
NA
NA
NA
16
NA
12
9
NA
NA
5
5
NA
NA
2
NA
NA
7
NA
NA
NA
13
NA
NA
11
NA
NA
0
NA
5
NA
NA
14
NA
1
NA
11
NA
12
NA
NA
NA
6
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
7
NA
NA
NA
8
NA
NA
NA
NA
11
NA
9
5
NA
NA
-3
NA
7
NA
13
NA
NA
2
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
7
NA
NA
NA
NA
NA
10
NA
NA
8
8
2
NA
NA
NA
NA
NA
6
3
NA
NA
3
9
NA
-1
NA
NA
12
NA
NA
NA
NA
4
7
NA
7
2
13
14
11
14
NA
8
12
2
15
14
NA
NA
4
NA
NA
NA
NA
4
NA
8
7
NA
NA
6
NA
NA
7
NA
9
17
NA
NA
16
NA
7
NA
12
9
NA
9
0
3
NA
5
4
14
NA
15
13
9
11
NA
5
1
17
NA
6
9
7
NA
6
11
0
NA
16
7
NA
15
10
7
13
3
0
11
NA
6
-4
NA
4
16
13
NA
0
NA
6
4
4
2
13
NA
15
6
4
13
13
6
11
9
12
2
6
6
-1
4
11
2
7

Dataseries Y:

Download CSV

Histogram

9
17
NA
11
12
15
NA
11
10
6
NA
10
NA
NA
13
12
NA
NA
15
6
NA
6
17
NA
13
14
9
NA
12
2
NA
7
5
NA
11
NA
6
4
NA
10
NA
6
NA
17
NA
4
4
6
NA
10
13
15
3
9
19
7
4
5
9
NA
12
5
12
NA
12
11
9
9
NA
9
NA
NA
7
7
NA
4
NA
13
NA
10
5
NA
13
6
14
13
11
6
12
9
17
7
13
12
6
11
9
NA
11
15
6
12
3
NA
9
10
NA
NA
NA
12
12
10
12
12
NA
NA
4
12
NA
NA
13
NA
14
6
NA
9
10
6
17
NA
NA
12
NA
NA
NA
NA
NA
NA
14
NA
NA
NA
NA
NA
13
15
NA
9
12
18
11
NA
4
NA
NA
12
9
NA
11
16
NA
6
NA
NA
15
9
NA
5
NA
13
NA
NA
10
NA
NA
NA
15
NA
NA
NA
9
NA
NA
NA
NA
13
NA
NA
NA
9
NA
NA
NA
9
NA
NA
NA
15
NA
NA
7
NA
NA
NA
NA
NA
NA
NA
11
NA
NA
10
NA
NA
NA
7
NA
13
NA
NA
NA
NA
NA
15
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net
R Engine error message	Error in hist.default(x, plot = FALSE) : invalid number of 'breaks' Calls: hist -> hist.default Execution halted

\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 & 0 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
R Engine error message & Error in hist.default(x, plot = FALSE) : invalid number of 'breaks'
Calls: hist -> hist.default
Execution halted
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=282612&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[ROW][C]R Engine error message[/C][C]Error in hist.default(x, plot = FALSE) : invalid number of 'breaks'
Calls: hist -> hist.default
Execution halted
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=282612&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=282612&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net
R Engine error message	Error in hist.default(x, plot = FALSE) : invalid number of 'breaks' Calls: hist -> hist.default Execution halted

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

library(psychometric)
x <- x[!is.na(y)]
y <- y[!is.na(y)]
y <- y[!is.na(x)]
x <- x[!is.na(x)]
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, sub=main)
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', na.rm = T)
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,'95% CI of Correlation',header=TRUE)
a<-table.element(a,paste('[',CIr(r=cxy, n = lx, level = .95)[1],', ', CIr(r=cxy, n = lx, level = .95)[2],']',sep=''),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')
library(moments)
library(nortest)
jarque.x <- jarque.test(x)
jarque.y <- jarque.test(y)
if(lx>7) {
ad.x <- ad.test(x)
ad.y <- ad.test(y)
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Normality Tests',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('',RC.texteval('jarque.x'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('',RC.texteval('jarque.y'),'
',sep=''))
a<-table.row.end(a)
if(lx>7) {
a<-table.row.start(a)
a<-table.element(a,paste('',RC.texteval('ad.x'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('',RC.texteval('ad.y'),'
',sep=''))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
library(car)
bitmap(file='test2.png')
qq.plot(x,main='QQplot of variable x')
dev.off()
bitmap(file='test3.png')
qq.plot(y,main='QQplot of variable y')
dev.off()

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code