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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationFri, 14 Dec 2007 06:08:17 -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/2007/Dec/14/t1197636814ll8wugmkc8w725x.htm/, Retrieved Thu, 02 May 2024 14:02:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3867, Retrieved Thu, 02 May 2024 14:02:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact179

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [verband prijs - i...] [2007-12-14 13:08:17] [d02236afd58a58d13a748bbf41a37c2e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,77632
0,80364
0,83065
0,76103
0,72187
0,72929
0,73339
0,75884
0,75423
0,77581
0,77753
0,77016
0,76800
0,76352
0,80984
0,83697
0,86371
0,85027
0,86945
0,92155
0,93647
0,98323
0,95760
0,93332
0,90135
0,92446
0,98061
1,01953
1,00784
1,07107
1,09458
1,10923
1,12907
1,12374
1,07400
1,04497
1,06290
1,06646
1,08848
1,11763
1,10842
1,10560
1,11306
1,11039
1,05590
1,03703
1,04327
1,03839
0,99784
1,01526
1,05461
1,08300
1,08503
1,09953
1,11442
1,10371
1,13018
1,15868
1,24067
1,21680
Dataseries Y:
Download CSV
Histogram 
36429
32720
34490
34749
30945
34302
30400
25543
32188
34395
27148
26634
34257
34794
38927
38512
33325
40658
32719
29323
34384
35153
30937
28079
39703
35245
41324
40802
37732
41527
33441
32885
36804
35593
34355
27045
45587
40370
48209
40275
36760
42588
35365
33014
36944
35649
34814
26041
45636
40040
47725
40263
43339
47283
40492
35768
28539
42971
36144
26950

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3867&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3867&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3867&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.97357333333333335970.55
Biased Variance0.020635474175555630786484.1808333
Biased Standard Deviation0.1436505279334385548.55694580432
Covariance280.199683559322
Correlation0.345685471765421
Determination0.119498445389682
T-Test2.80562783073638
p-value (2 sided)0.00682442753539925
p-value (1 sided)0.00341221376769962
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 0.973573333333333 & 35970.55 \tabularnewline
Biased Variance & 0.0206354741755556 & 30786484.1808333 \tabularnewline
Biased Standard Deviation & 0.143650527933438 & 5548.55694580432 \tabularnewline
Covariance & 280.199683559322 \tabularnewline
Correlation & 0.345685471765421 \tabularnewline
Determination & 0.119498445389682 \tabularnewline
T-Test & 2.80562783073638 \tabularnewline
p-value (2 sided) & 0.00682442753539925 \tabularnewline
p-value (1 sided) & 0.00341221376769962 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3867&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]0.973573333333333[/C][C]35970.55[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.0206354741755556[/C][C]30786484.1808333[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.143650527933438[/C][C]5548.55694580432[/C][/ROW]
[ROW][C]Covariance[/C][C]280.199683559322[/C][/ROW]
[ROW][C]Correlation[/C][C]0.345685471765421[/C][/ROW]
[ROW][C]Determination[/C][C]0.119498445389682[/C][/ROW]
[ROW][C]T-Test[/C][C]2.80562783073638[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00682442753539925[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00341221376769962[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3867&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3867&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
Mean0.97357333333333335970.55
Biased Variance0.020635474175555630786484.1808333
Biased Standard Deviation0.1436505279334385548.55694580432
Covariance280.199683559322
Correlation0.345685471765421
Determination0.119498445389682
T-Test2.80562783073638
p-value (2 sided)0.00682442753539925
p-value (1 sided)0.00341221376769962
Degrees of Freedom58
Number of Observations60


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')