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 computationMon, 04 Oct 2010 19:55:31 +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/04/t1286222240kyb1jf0ojre5de8.htm/, Retrieved Sun, 28 Apr 2024 08:37:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=81113, Retrieved Sun, 28 Apr 2024 08:37:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108

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   PD    [Pearson Correlation] [Scatterplot] [2010-10-04 19:55:31] [61e5ee05de011f44efa37f086a4e2271] [Current]
Feedback Forum
2010-10-09 14:28:05 [01b8b2bcf185aaeb880175e70c026485] [reply] 
je moet hier een conclusie maken van de grafiek. Hier kunnen we zeggen dat er een positieve correlatie bestaat tussen de hoogte en de breedte van een scherm.Naarmate de hoogte groter wordt zal ook de breedte groter worden Je ziet op de grafiek eigenlijk drie rechten en dat zijn de verhoudingen.
  2010-10-10 09:40:12 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Bij deze perfect omschreven conclusie kan ik mij alleen maar aansluiten.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
917
983
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1024
1117
1120
1140
1143
1152
1152
1176
1176
1257
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1280
1366
1366
1366
1366
1366
1366
1366
1366
1408
1408
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1440
1503
1600
1600
1600
1600
1600
1680
1680
1680
1680
1688
1760
1920
1920
2560
Dataseries Y:
Download CSV
Histogram 
550
737
768
768
768
768
768
768
768
768
768
768
768
768
768
640
768
768
768
768
768
768
768
698
700
641
857
864
864
735
735
785
800
800
768
800
768
800
800
800
1024
1024
800
800
800
800
800
768
800
800
800
1024
1024
800
768
800
800
800
800
1024
800
800
800
800
1024
800
800
800
800
800
800
800
800
800
800
800
800
800
800
800
1024
800
1024
800
800
800
800
800
1024
1024
800
800
800
768
768
768
768
768
768
768
768
880
880
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
900
845
900
1200
900
900
900
1050
1050
1050
1050
949
990
1080
1200
1440

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=81113&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=81113&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=81113&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1309.15107913669844.503597122302
Biased Variance45390.718182288712936.8686920967
Biased Standard Deviation213.050975548784113.740356479557
Covariance18734.6480033365
Correlation0.767558899807277
Determination0.589146664673358
T-Test14.0161451635828
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom137
Number of Observations139

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1309.15107913669 & 844.503597122302 \tabularnewline
Biased Variance & 45390.7181822887 & 12936.8686920967 \tabularnewline
Biased Standard Deviation & 213.050975548784 & 113.740356479557 \tabularnewline
Covariance & 18734.6480033365 \tabularnewline
Correlation & 0.767558899807277 \tabularnewline
Determination & 0.589146664673358 \tabularnewline
T-Test & 14.0161451635828 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 137 \tabularnewline
Number of Observations & 139 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=81113&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]1309.15107913669[/C][C]844.503597122302[/C][/ROW]
[ROW][C]Biased Variance[/C][C]45390.7181822887[/C][C]12936.8686920967[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]213.050975548784[/C][C]113.740356479557[/C][/ROW]
[ROW][C]Covariance[/C][C]18734.6480033365[/C][/ROW]
[ROW][C]Correlation[/C][C]0.767558899807277[/C][/ROW]
[ROW][C]Determination[/C][C]0.589146664673358[/C][/ROW]
[ROW][C]T-Test[/C][C]14.0161451635828[/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]137[/C][/ROW]
[ROW][C]Number of Observations[/C][C]139[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=81113&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=81113&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
Mean1309.15107913669844.503597122302
Biased Variance45390.718182288712936.8686920967
Biased Standard Deviation213.050975548784113.740356479557
Covariance18734.6480033365
Correlation0.767558899807277
Determination0.589146664673358
T-Test14.0161451635828
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom137
Number of Observations139


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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')