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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 computationThu, 29 Oct 2009 10:05:24 -0600
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/Oct/29/t12568351246ou603wrllffiu3.htm/, Retrieved Mon, 29 Apr 2024 02:46:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=52019, Retrieved Mon, 29 Apr 2024 02:46:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact57

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Partial Correlation] [partial correlation] [2009-10-28 19:24:30] [cd6314e7e707a6546bd4604c9d1f2b69]
- RMPD  [Bivariate Explorative Data Analysis] [relatie vlaandere...] [2009-10-28 19:52:15] [cd6314e7e707a6546bd4604c9d1f2b69]
-    D    [Bivariate Explorative Data Analysis] [bivariate EDA tus...] [2009-10-28 20:45:10] [cd6314e7e707a6546bd4604c9d1f2b69]
- RMP         [Pearson Correlation] [correlation tusse...] [2009-10-29 16:05:24] [ea241b681aafed79da4b5b99fad98471] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5877.641004
5264.324975
6142.177029
10268.13606
10473.95003
11975.11389
27071.77554
39415.43061
17684.58436
18056.32275
14220.73908
19910.88099
20825.80839
17078.14492
15893.85256
16587.08554
15452.75508
16634.15379
30075.88387
30024.98807
10837.18097
18212.88846
9612.37698
15383.76942
-10793.78215
-2665.770597
-2747.627613
5616.223003
3604.418271
-2472.739559
1060.469578
-8354.360115
-19737.63012
-29682.41175
-31450.81059
-26654.75529
-33207.92652
-38530.07447
-28833.33473
-39506.72592
-28597.11427
-2341.826355
343.2037971
-13047.16234
-26584.87934
-26927.22357
-18923.29632
-13025.37249
-24270.05651
-29451.89576
-10651.68425
-13617.95194
-4687.142289
1547.342007
-3588.856605
-9350.202187
-17243.26871
-6501.430206
-6826.935843
600.2497751
5685.935602
7979.577494
10909.68967
7336.861697
15319.24875
23453.89399
18322.6577
15060.75058
10453.76214
Dataseries Y:
Download CSV
Histogram 
12759.67629
10622.97664
10308.72729
14324.40815
14766.20241
15482.80982
32045.46369
47967.4267
16954.41759
19078.51507
16119.42199
22381.18044
23681.8785
17447.24575
16518.34184
18164.67245
16311.81215
18389.41422
32616.54318
37136.81187
8887.473886
15353.85271
8311.578885
13271.94069
-12610.00173
-5753.20383
-6392.730644
4072.838634
97.67948377
-3302.437027
-349.966368
-9077.38537
-22399.95763
-30889.52098
-29794.84033
-25229.06177
-31107.64024
-36194.88959
-27783.31195
-36208.22571
-26169.46189
-2433.81936
-324.3648547
-13694.31753
-27975.766
-28540.55489
-20562.5741
-14825.48688
-24696.80327
-27729.30797
-9923.327593
-12574.73706
-3445.486919
2484.396362
-2379.636843
-8368.905883
-16495.70087
-8069.129444
-8234.645685
-1098.922628
3114.041771
4665.292196
6553.747945
1644.27573
11190.37869
17827.49059
13036.98367
8499.203837
2547.001736

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=52019&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]1 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=52019&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=52019&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.91304427191617e-072.47391297116205e-07
Biased Variance340333488.239047356035477.220481
Biased Standard Deviation18448.129667775218868.9023851543
Covariance348120904.054106
Correlation0.985577872378117
Determination0.971363742521376
T-Test47.6727512646554
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom67
Number of Observations69

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1.91304427191617e-07 & 2.47391297116205e-07 \tabularnewline
Biased Variance & 340333488.239047 & 356035477.220481 \tabularnewline
Biased Standard Deviation & 18448.1296677752 & 18868.9023851543 \tabularnewline
Covariance & 348120904.054106 \tabularnewline
Correlation & 0.985577872378117 \tabularnewline
Determination & 0.971363742521376 \tabularnewline
T-Test & 47.6727512646554 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 67 \tabularnewline
Number of Observations & 69 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=52019&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]1.91304427191617e-07[/C][C]2.47391297116205e-07[/C][/ROW]
[ROW][C]Biased Variance[/C][C]340333488.239047[/C][C]356035477.220481[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]18448.1296677752[/C][C]18868.9023851543[/C][/ROW]
[ROW][C]Covariance[/C][C]348120904.054106[/C][/ROW]
[ROW][C]Correlation[/C][C]0.985577872378117[/C][/ROW]
[ROW][C]Determination[/C][C]0.971363742521376[/C][/ROW]
[ROW][C]T-Test[/C][C]47.6727512646554[/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]67[/C][/ROW]
[ROW][C]Number of Observations[/C][C]69[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=52019&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=52019&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
Mean1.91304427191617e-072.47391297116205e-07
Biased Variance340333488.239047356035477.220481
Biased Standard Deviation18448.129667775218868.9023851543
Covariance348120904.054106
Correlation0.985577872378117
Determination0.971363742521376
T-Test47.6727512646554
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom67
Number of Observations69


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')