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 computationFri, 17 Dec 2010 20:12:23 +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/Dec/17/t1292616634gzucq8gpkjgk80a.htm/, Retrieved Mon, 06 May 2024 23:16:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111703, Retrieved Mon, 06 May 2024 23:16:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- RMPD  [Maximum-likelihood Fitting - Normal Distribution] [Normal distributi...] [2010-10-15 17:07:55] [6bc4f9343b7ea3ef5a59412d1f72bb2b]
- RMPD    [Notched Boxplots] [Intrinsic Men vs....] [2010-10-16 09:09:12] [6bc4f9343b7ea3ef5a59412d1f72bb2b]
-    D      [Notched Boxplots] [p_Stress_BoxplotsMF1] [2010-12-04 11:27:47] [19f9551d4d95750ef21e9f3cf8fe2131]
- RMPD          [Pearson Correlation] [Scatterplot - Pop...] [2010-12-17 20:12:23] [66b4703b90a9701067ac75b10c82aca9] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11
8
12
10
7
6
8
16
8
16
7
11
16
16
12
13
19
7
8
12
13
11
8
16
15
11
12
7
9
15
6
14
14
7
15
14
17
14
5
14
8
8
13
14
16
11
10
10
10
8
14
14
12
13
5
10
6
15
12
16
15
12
8
14
14
13
12
15
8
16
14
13
15
7
5
7
13
14
14
13
11
15
13
14
13
9
8
6
13
16
7
11
8
13
5
8
10
9
16
4
4
11
14
15
17
10
15
11
15
10
9
14
15
9
12
10
16
15
14
12
15
9
12
15
6
4
8
10
6
12
14
11
15
13
15
16
4
15
12
15
15
14
14
14
11
Dataseries Y:
Download CSV
Histogram 
11
12
15
10
12
11
5
16
11
15
12
9
11
15
12
16
14
11
10
7
11
10
11
16
14
12
12
11
6
14
9
15
12
12
9
13
15
11
10
13
16
13
14
14
16
9
8
8
12
10
16
13
11
14
15
8
9
17
9
13
6
13
8
12
13
14
11
15
7
16
16
14
11
13
13
7
15
11
15
13
11
12
10
12
12
12
14
6
14
15
8
12
10
15
11
9
14
10
16
5
8
13
16
16
14
14
10
9
14
8
8
16
12
9
15
12
14
12
16
12
14
8
15
16
12
4
8
11
4
14
14
13
14
7
19
12
10
14
16
11
16
12
12
16
12

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111703&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]3 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=111703&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111703&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 time3 seconds
R Server'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean11.579310344827611.9931034482759
Biased Variance11.99543400713448.87581450653983
Biased Standard Deviation3.463442508131812.97923052255777
Covariance5.94846743295019
Correlation0.572515812977508
Determination0.327774356109297
T-Test8.35022095113723
p-value (2 sided)5.32907051820075e-14
p-value (1 sided)2.66453525910038e-14
Degrees of Freedom143
Number of Observations145

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 11.5793103448276 & 11.9931034482759 \tabularnewline
Biased Variance & 11.9954340071344 & 8.87581450653983 \tabularnewline
Biased Standard Deviation & 3.46344250813181 & 2.97923052255777 \tabularnewline
Covariance & 5.94846743295019 \tabularnewline
Correlation & 0.572515812977508 \tabularnewline
Determination & 0.327774356109297 \tabularnewline
T-Test & 8.35022095113723 \tabularnewline
p-value (2 sided) & 5.32907051820075e-14 \tabularnewline
p-value (1 sided) & 2.66453525910038e-14 \tabularnewline
Degrees of Freedom & 143 \tabularnewline
Number of Observations & 145 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111703&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]11.5793103448276[/C][C]11.9931034482759[/C][/ROW]
[ROW][C]Biased Variance[/C][C]11.9954340071344[/C][C]8.87581450653983[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.46344250813181[/C][C]2.97923052255777[/C][/ROW]
[ROW][C]Covariance[/C][C]5.94846743295019[/C][/ROW]
[ROW][C]Correlation[/C][C]0.572515812977508[/C][/ROW]
[ROW][C]Determination[/C][C]0.327774356109297[/C][/ROW]
[ROW][C]T-Test[/C][C]8.35022095113723[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]5.32907051820075e-14[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]2.66453525910038e-14[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]143[/C][/ROW]
[ROW][C]Number of Observations[/C][C]145[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111703&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111703&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
Mean11.579310344827611.9931034482759
Biased Variance11.99543400713448.87581450653983
Biased Standard Deviation3.463442508131812.97923052255777
Covariance5.94846743295019
Correlation0.572515812977508
Determination0.327774356109297
T-Test8.35022095113723
p-value (2 sided)5.32907051820075e-14
p-value (1 sided)2.66453525910038e-14
Degrees of Freedom143
Number of Observations145


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')