FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationTue, 16 Dec 2014 15:13:21 +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/2014/Dec/16/t14187430222xiay9osku5vrqh.htm/, Retrieved Thu, 16 May 2024 06:38:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269704, Retrieved Thu, 16 May 2024 06:38:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact44

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Connected vs Sepa...] [2010-10-04 07:35:56] [b98453cac15ba1066b407e146608df68]
- RM D    [Pearson Correlation] [Totale score vs N...] [2014-12-16 15:13:21] [ca907db95fc0b179b22bb0898c34dff4] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
30
27
18
28
27
28
21
22
20
23
18
18
25
25
25
24
13
17
4
16
21
20
22
0
18
29
15
22
22
17
27
15
26
18
27
17
19
13
16
2
26
22
23
18
18
19
22
14
23
20
13
16
7
17
19
23
19
16
20
25
17
12
24
14
18
19
16
19
4
20
24
17
22
19
22
23
17
24
20
25
20
21
22
25
28
29
20
20
19
19
26
10
17
30
22
23
16
18
25
18
24
23
24
15
20
26
23
23
22
15
22
10
20
23
27
23
25
20
24
23
22
21
25
27
23
23
19
15
20
16
25
25
19
16
19
19
23
21
19
20
3
23
15
24
24
24
28
23
25
25
20
25
23
20
16
23
11
23
29
16
23
20
4
24
16
3
23
20
19
24
27
Dataseries Y:
Download CSV
Histogram 
16,6
14,85
11,75
18,45
19,9
18,45
15
11,35
18,1
13,4
13,9
15,25
16,1
17,35
13,15
12,15
18,2
13,6
14,1
14,9
16,25
15,65
14,6
19,2
13,2
15,65
7,65
15,2
11,85
11,4
19,9
15,15
16,85
12,6
12,35
16,65
13,95
15,7
15,35
15,1
17,75
16,65
19,1
13,35
18,4
16,15
18,4
15,6
16,35
17,65
11,7
14,35
14,75
9,9
16,85
15,6
17,1
19,1
7,6
14,75
13,6
11,9
16,35
14,35
17,75
19,3
17,1
19,05
18,55
19,1
13,35
17,6
16,1
11,95
7,7
14,6
12,6
18,9
11,6
14,6
13,85
15,9
10,95
15,1
15,95
14,6
17,6
15,35
12,9
12,6
10,35
15,4
9,6
14,85
13,6
12,65
11,9
16,6
11,2
15,85
11,15
15,6
13,1
12,4
14,9
11,2
14,6
14,75
7,85
7,85
10,95
9,95
14,9
13,4
16,85
10,95
12,2
15,2
8,1
4,35
12,7
18,1
17,85
17,1
16,1
14,7
10,6
12,6
16,2
13,6
14,1
14,5
14,75
14,8
12,45
12,65
17,35
8,6
16,1
17,75
15,25
17,65
13,6
18,25
16
18,25
18,95
16,1
15,4
15,4
13,35
19,1
19,25
12,75
9,85
15,25
12,4
18,15
12,35
15,6
18,4
12,85
9,5
4,5
13,6
11,7
17,75
14,05
13,35
11,85
13,2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269704&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269704&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269704&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean20.181286549707614.5102339181287
Biased Variance30.60456208747999.11868181662734
Biased Standard Deviation5.532139015559893.0197155191553
Covariance1.8822514619883
Correlation0.112013750398079
Determination0.0125470802782432
T-Test1.46540102679686
p-value (2 sided)0.144669523474414
p-value (1 sided)0.0723347617372069
Degrees of Freedom169
Number of Observations171

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 20.1812865497076 & 14.5102339181287 \tabularnewline
Biased Variance & 30.6045620874799 & 9.11868181662734 \tabularnewline
Biased Standard Deviation & 5.53213901555989 & 3.0197155191553 \tabularnewline
Covariance & 1.8822514619883 \tabularnewline
Correlation & 0.112013750398079 \tabularnewline
Determination & 0.0125470802782432 \tabularnewline
T-Test & 1.46540102679686 \tabularnewline
p-value (2 sided) & 0.144669523474414 \tabularnewline
p-value (1 sided) & 0.0723347617372069 \tabularnewline
Degrees of Freedom & 169 \tabularnewline
Number of Observations & 171 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269704&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]20.1812865497076[/C][C]14.5102339181287[/C][/ROW]
[ROW][C]Biased Variance[/C][C]30.6045620874799[/C][C]9.11868181662734[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]5.53213901555989[/C][C]3.0197155191553[/C][/ROW]
[ROW][C]Covariance[/C][C]1.8822514619883[/C][/ROW]
[ROW][C]Correlation[/C][C]0.112013750398079[/C][/ROW]
[ROW][C]Determination[/C][C]0.0125470802782432[/C][/ROW]
[ROW][C]T-Test[/C][C]1.46540102679686[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.144669523474414[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0723347617372069[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]169[/C][/ROW]
[ROW][C]Number of Observations[/C][C]171[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269704&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269704&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
Mean20.181286549707614.5102339181287
Biased Variance30.60456208747999.11868181662734
Biased Standard Deviation5.532139015559893.0197155191553
Covariance1.8822514619883
Correlation0.112013750398079
Determination0.0125470802782432
T-Test1.46540102679686
p-value (2 sided)0.144669523474414
p-value (1 sided)0.0723347617372069
Degrees of Freedom169
Number of Observations171


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')