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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, 22 Oct 2008 12:09:48 -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/2008/Oct/22/t12246995959123crdh1u77lnl.htm/, Retrieved Sun, 19 May 2024 14:39:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18429, Retrieved Sun, 19 May 2024 14:39:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact183

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D  [Pearson Correlation] [Q10- Verband Bouw...] [2008-10-20 20:27:55] [86761fc994bdf34e4f4ab5b8e1d9e1c3]
-    D      [Pearson Correlation] [Q9-Verband bouwp...] [2008-10-22 18:09:48] [8a1195ff8db4df756ce44b463a631c76] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
44,1
44,7
49,1
51,1
58,5
71,9
72,5
74,5
76,5
76,7
77,7
79,8
82,7
82,7
82,9
84
85,2
85,9
87,6
88,5
88,9
89,2
89,6
90,1
90,1
90,7
91,1
91,3
92,3
92,4
92,9
93,6
93,6
94
94
96
96,5
97,5
97,6
98,6
99
99,4
99,4
100,7
100,8
102,2
102,5
103,3
103,5
104,8
105
105,9
105,9
106,5
107
107,1
107,4
107,7
108,8
109,1
109,4
109,4
112,5
113,1
114,3
Dataseries Y:
Download CSV
Histogram 
1746
1828
1878
1883
1954
2047
2054
2058
2069
2085
2091
2148
2150
2150
2155
2160
2172
2185
2208
2214
2251
2257
2259
2266
2267
2270
2272
2277
2282
2293
2294
2299
2318
2333
2348
2355
2360
2379
2396
2450
2455
2474
2478
2495
2498
2533
2540
2540
2542
2546
2570
2669
2677
2695
2708
2799
2825
2842
2842
2850
2930
2945
2979
3016
3439

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18429&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18429&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18429&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'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean91.71230769230772389.96923076923
Biased Variance259.981694674556102137.845207101
Biased Standard Deviation16.1239478625601319.590120634385
Covariance4679.46913461538
Correlation0.894125484834102
Determination0.799460382629819
T-Test15.8477881601353
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom63
Number of Observations65

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 91.7123076923077 & 2389.96923076923 \tabularnewline
Biased Variance & 259.981694674556 & 102137.845207101 \tabularnewline
Biased Standard Deviation & 16.1239478625601 & 319.590120634385 \tabularnewline
Covariance & 4679.46913461538 \tabularnewline
Correlation & 0.894125484834102 \tabularnewline
Determination & 0.799460382629819 \tabularnewline
T-Test & 15.8477881601353 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 63 \tabularnewline
Number of Observations & 65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18429&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]91.7123076923077[/C][C]2389.96923076923[/C][/ROW]
[ROW][C]Biased Variance[/C][C]259.981694674556[/C][C]102137.845207101[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]16.1239478625601[/C][C]319.590120634385[/C][/ROW]
[ROW][C]Covariance[/C][C]4679.46913461538[/C][/ROW]
[ROW][C]Correlation[/C][C]0.894125484834102[/C][/ROW]
[ROW][C]Determination[/C][C]0.799460382629819[/C][/ROW]
[ROW][C]T-Test[/C][C]15.8477881601353[/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]63[/C][/ROW]
[ROW][C]Number of Observations[/C][C]65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18429&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18429&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
Mean91.71230769230772389.96923076923
Biased Variance259.981694674556102137.845207101
Biased Standard Deviation16.1239478625601319.590120634385
Covariance4679.46913461538
Correlation0.894125484834102
Determination0.799460382629819
T-Test15.8477881601353
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom63
Number of Observations65


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')