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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 computationSun, 19 Oct 2008 11:44:01 -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/19/t1224438293y6yjcuatqz80mf7.htm/, Retrieved Sat, 11 May 2024 23:49:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17002, Retrieved Sat, 11 May 2024 23:49:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsq10, pearson correlation
Estimated Impact195

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] [Investigating ass...] [2008-10-19 17:29:06] [cbd3d88cd5aad6543e769146e7e26b0c]
F R  D    [Pearson Correlation] [Investigating ass...] [2008-10-19 17:36:46] [cbd3d88cd5aad6543e769146e7e26b0c]
F    D        [Pearson Correlation] [Investigating ass...] [2008-10-19 17:44:01] [c577d4c76516de948d1234ed72fcf120] [Current]
F   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 19:57:33] [7173087adebe3e3a714c80ea2417b3eb]
- RMP             [Box-Cox Linearity Plot] [box cox linearity...] [2008-12-10 14:43:09] [7173087adebe3e3a714c80ea2417b3eb]
-  M D              [Box-Cox Linearity Plot] [] [2009-12-13 15:20:51] [ebd107afac1bd6180acb277edd05815b]
-    D                [Box-Cox Linearity Plot] [] [2010-12-24 12:16:21] [6e5489189f7de5cfbcc25dd35ae15009]
-    D                  [Box-Cox Linearity Plot] [] [2010-12-24 12:38:45] [6e5489189f7de5cfbcc25dd35ae15009]
-   PD          [Pearson Correlation] [pearson correlati...] [2008-10-19 20:00:10] [7173087adebe3e3a714c80ea2417b3eb]
-   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 20:03:15] [7173087adebe3e3a714c80ea2417b3eb]
-   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 20:05:19] [7173087adebe3e3a714c80ea2417b3eb]
Feedback Forum
2008-10-27 20:53:57 [Jeroen Michel] [reply] 
zie:

http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/19/t1224437407dxaput5vmlqa7ow.htm

&

http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/19/t122443786287j9i69v2vwlkfu.htm

Ook hier gebeurt een gelijkaardige berekening waarbij nieuwe tijdreeksen tegenover mekaar worden geplaatst. De analyse gebeurt volledig synchroon met de vorige berekeningen.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
97.3
101
113.2
101
105.7
113.9
86.4
96.5
103.3
114.9
105.8
94.2
98.4
99.4
108.8
112.6
104.4
112.2
81.1
97.1
112.6
113.8
107.8
103.2
103.3
101.2
107.7
110.4
101.9
115.9
89.9
88.6
117.2
123.9
100
103.6
94.1
98.7
119.5
112.7
104.4
124.7
89.1
97
121.6
118.8
114
111.5
97.2
102.5
113.4
109.8
104.9
126.1
80
96.8
117.2
112.3
117.3
111.1
102.2
104.3
122.9
107.6
121.3
131.5
89
104.4
128.9
135.9
133.3
121.3
Dataseries Y:
Download CSV
Histogram 
124.9
132
151.4
108.9
121.3
123.4
90.3
79.3
117.2
116.9
120.8
96.1
100.8
105.3
116.1
112.8
114.5
117.2
77.1
80.1
120.3
133.4
109.4
93.2
91.2
99.2
108.2
101.5
106.9
104.4
77.9
60
99.5
95
105.6
102.5
93.3
97.3
127
111.7
96.4
133
72.2
95.8
124.1
127.6
110.7
104.6
112.7
115.3
139.4
119
97.4
154
81.5
88.8
127.7
105.1
114.9
106.4
104.5
121.6
141.4
99
126.7
134.1
81.3
88.6
132.7
132.9
134.4
103.7

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17002&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17002&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17002&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'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean107.576388888889109.325
Biased Variance140.997636959877354.359930555556
Biased Standard Deviation11.874242584682018.8244503387365
Covariance166.840316901408
Correlation0.736035289623359
Determination0.541747947570941
T-Test9.09694246488954
p-value (2 sided)1.75637282495700e-13
p-value (1 sided)8.78186412478499e-14
Degrees of Freedom70
Number of Observations72

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 107.576388888889 & 109.325 \tabularnewline
Biased Variance & 140.997636959877 & 354.359930555556 \tabularnewline
Biased Standard Deviation & 11.8742425846820 & 18.8244503387365 \tabularnewline
Covariance & 166.840316901408 \tabularnewline
Correlation & 0.736035289623359 \tabularnewline
Determination & 0.541747947570941 \tabularnewline
T-Test & 9.09694246488954 \tabularnewline
p-value (2 sided) & 1.75637282495700e-13 \tabularnewline
p-value (1 sided) & 8.78186412478499e-14 \tabularnewline
Degrees of Freedom & 70 \tabularnewline
Number of Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17002&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]107.576388888889[/C][C]109.325[/C][/ROW]
[ROW][C]Biased Variance[/C][C]140.997636959877[/C][C]354.359930555556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]11.8742425846820[/C][C]18.8244503387365[/C][/ROW]
[ROW][C]Covariance[/C][C]166.840316901408[/C][/ROW]
[ROW][C]Correlation[/C][C]0.736035289623359[/C][/ROW]
[ROW][C]Determination[/C][C]0.541747947570941[/C][/ROW]
[ROW][C]T-Test[/C][C]9.09694246488954[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.75637282495700e-13[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]8.78186412478499e-14[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]70[/C][/ROW]
[ROW][C]Number of Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17002&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17002&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
Mean107.576388888889109.325
Biased Variance140.997636959877354.359930555556
Biased Standard Deviation11.874242584682018.8244503387365
Covariance166.840316901408
Correlation0.736035289623359
Determination0.541747947570941
T-Test9.09694246488954
p-value (2 sided)1.75637282495700e-13
p-value (1 sided)8.78186412478499e-14
Degrees of Freedom70
Number of Observations72


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')