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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, 10 Dec 2008 06:23:15 -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/2008/Dec/10/t1228916340ui5r8i7h1th68w6.htm/, Retrieved Sun, 19 May 2024 07:22:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31949, Retrieved Sun, 19 May 2024 07:22:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Central Tendency] [2008-12-10 13:23:15] [5f3e73ccf1ddc75508eed47fa51813d3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
632
1270
1211
1469
2570
2765
2487
3644
2501
1629
987
1100
690
1378
1376
1736
2800
2671
2508
3590
2691
1629
1020
1224
787
1424
1232
2021
2782
2682
3284
3194
2736
1701
1089
1240
799
1163
1180
1960
2914
2658
3254
3222
2987
1604
1032
1283
774
1109
1453
1849
2800
3310
3060
3422
3448
1670
1022
1391
767
1172
1498
1623
2646
3439
Dataseries Y:
Download CSV
Histogram 
357
600
667
839
1295
1956
1584
2243
1582
954
645
655
405
554
702
869
1364
1716
1625
2114
1556
1012
596
677
470
679
629
1068
1377
1660
1930
1828
1687
1008
591
669
475
593
641
1087
1238
1609
2016
1953
1771
1045
675
716
437
553
659
1169
1343
1649
2016
1909
2085
976
595
797
456
630
755
885
1309
2016

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=31949&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=31949&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31949&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
Mean1973.621212121211124.56060606061
Biased Variance803209.689853076301201.912993572
Biased Standard Deviation896.219666071369548.818652191753
Covariance484677.446386946
Correlation0.970462815906472
Determination0.941798077057119
T-Test32.1810507233916
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom64
Number of Observations66

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1973.62121212121 & 1124.56060606061 \tabularnewline
Biased Variance & 803209.689853076 & 301201.912993572 \tabularnewline
Biased Standard Deviation & 896.219666071369 & 548.818652191753 \tabularnewline
Covariance & 484677.446386946 \tabularnewline
Correlation & 0.970462815906472 \tabularnewline
Determination & 0.941798077057119 \tabularnewline
T-Test & 32.1810507233916 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 64 \tabularnewline
Number of Observations & 66 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31949&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]1973.62121212121[/C][C]1124.56060606061[/C][/ROW]
[ROW][C]Biased Variance[/C][C]803209.689853076[/C][C]301201.912993572[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]896.219666071369[/C][C]548.818652191753[/C][/ROW]
[ROW][C]Covariance[/C][C]484677.446386946[/C][/ROW]
[ROW][C]Correlation[/C][C]0.970462815906472[/C][/ROW]
[ROW][C]Determination[/C][C]0.941798077057119[/C][/ROW]
[ROW][C]T-Test[/C][C]32.1810507233916[/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]64[/C][/ROW]
[ROW][C]Number of Observations[/C][C]66[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31949&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31949&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
Mean1973.621212121211124.56060606061
Biased Variance803209.689853076301201.912993572
Biased Standard Deviation896.219666071369548.818652191753
Covariance484677.446386946
Correlation0.970462815906472
Determination0.941798077057119
T-Test32.1810507233916
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom64
Number of Observations66


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')