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 computationWed, 04 Nov 2009 10:50:43 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/04/t1257357084zwq5sotj2bptuah.htm/, Retrieved Mon, 29 Apr 2024 12:43:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=53764, Retrieved Mon, 29 Apr 2024 12:43:54 +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)
F     [Bivariate Explorative Data Analysis] [WS5] [2009-11-03 17:19:04] [eea7474c6df699240a34279975905c82]
-    D  [Bivariate Explorative Data Analysis] [reeks X t.o.v Z] [2009-11-04 17:42:17] [cd6314e7e707a6546bd4604c9d1f2b69]
-    D    [Bivariate Explorative Data Analysis] [reeks Y t.o.v. Z] [2009-11-04 17:45:28] [cd6314e7e707a6546bd4604c9d1f2b69]
-    D      [Bivariate Explorative Data Analysis] [e(t) t.o.v. e'(t)] [2009-11-04 17:48:40] [cd6314e7e707a6546bd4604c9d1f2b69]
- RMPD          [Pearson Correlation] [correlatie e(t) e...] [2009-11-04 17:50:43] [ea241b681aafed79da4b5b99fad98471] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.328553678
0.428553678
0.397030204
0.197030204
0.297030204
0.673258107
0.673258107
0.673258107
0.245092359
0.245092359
-0.154907641
0.164988767
0.164988767
0.264988767
0.156719426
0.156719426
0.356719426
0.861113078
0.961113078
0.961113078
1.297548166
0.997548166
0.397548166
0.125713914
-0.174286086
-0.074286086
-0.018472552
0.081527448
0.181527448
0.47377607
0.37377607
0.17377607
0.450003973
0.250003973
-0.149996027
-0.218472552
-0.318472552
-0.518472552
-0.266016745
-0.366016745
-0.066016745
0.153879662
0.153879662
-0.246120338
-0.225705968
-0.525705968
-0.225705968
-0.183073389
-0.083073389
-0.483073389
-0.433975308
-0.733975308
-0.333975308
0.005299544
0.605299544
0.805299544
0.717444574
0.417444574
0.517444574
1.017444574
1.117444574
Dataseries Y:
Download CSV
Histogram 
0.788105644
0.788105644
0.677096311
0.177096311
0.277096311
0.710961413
0.810961413
0.710961413
0.240877703
0.140877703
-0.059122297
0.534575384
0.634575384
0.634575384
0.158189355
0.058189355
0.158189355
0.762138167
0.762138167
0.662138167
1.008607906
0.808607906
0.508607906
0.878691617
0.778691617
0.778691617
0.487347443
0.387347443
0.387347443
0.742473008
0.742473008
0.642473008
0.97633811
0.67633811
0.17633811
-0.012652557
-0.212652557
-0.512652557
-0.044922354
-0.044922354
0.155077646
0.148775327
-0.051224673
-0.351224673
-0.326015397
-0.626015397
-0.226015397
-0.429206007
-0.229206007
-0.629206007
-0.102401426
-0.402401426
-0.102401426
-0.046517659
0.253482341
0.253482341
0.102305587
-0.297694413
-0.197694413
0.502305587
0.702305587

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53764&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53764&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53764&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.2085319753114750.276734561557377
Biased Variance0.2034278659016930.195161957825324
Biased Standard Deviation0.4510297838299510.441771386381377
Covariance0.139675538125558
Correlation0.689507451514898
Determination0.47542052569457
T-Test7.31238961176575
p-value (2 sided)7.99886823443785e-10
p-value (1 sided)3.99943411721893e-10
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 0.208531975311475 & 0.276734561557377 \tabularnewline
Biased Variance & 0.203427865901693 & 0.195161957825324 \tabularnewline
Biased Standard Deviation & 0.451029783829951 & 0.441771386381377 \tabularnewline
Covariance & 0.139675538125558 \tabularnewline
Correlation & 0.689507451514898 \tabularnewline
Determination & 0.47542052569457 \tabularnewline
T-Test & 7.31238961176575 \tabularnewline
p-value (2 sided) & 7.99886823443785e-10 \tabularnewline
p-value (1 sided) & 3.99943411721893e-10 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53764&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]0.208531975311475[/C][C]0.276734561557377[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.203427865901693[/C][C]0.195161957825324[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.451029783829951[/C][C]0.441771386381377[/C][/ROW]
[ROW][C]Covariance[/C][C]0.139675538125558[/C][/ROW]
[ROW][C]Correlation[/C][C]0.689507451514898[/C][/ROW]
[ROW][C]Determination[/C][C]0.47542052569457[/C][/ROW]
[ROW][C]T-Test[/C][C]7.31238961176575[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]7.99886823443785e-10[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]3.99943411721893e-10[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]59[/C][/ROW]
[ROW][C]Number of Observations[/C][C]61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53764&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53764&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
Mean0.2085319753114750.276734561557377
Biased Variance0.2034278659016930.195161957825324
Biased Standard Deviation0.4510297838299510.441771386381377
Covariance0.139675538125558
Correlation0.689507451514898
Determination0.47542052569457
T-Test7.31238961176575
p-value (2 sided)7.99886823443785e-10
p-value (1 sided)3.99943411721893e-10
Degrees of Freedom59
Number of Observations61


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')