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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 computationMon, 20 Oct 2008 10:30:30 -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/20/t1224520296mcfy6cdoswg0mj5.htm/, Retrieved Sun, 19 May 2024 14:33:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17610, Retrieved Sun, 19 May 2024 14:33:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact147

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [invoer vanuit vs] [2008-10-13 19:11:39] [57ce5bd741080980f0f51979adb31ad8]
-   PD  [Univariate Data Series] [Productie voedsel...] [2008-10-19 13:35:18] [ed2ba3b6182103c15c0ab511ae4e6284]
-   PD    [Univariate Data Series] [Productie Voedsel...] [2008-10-19 14:08:24] [ed2ba3b6182103c15c0ab511ae4e6284]
F RMPD        [Pearson Correlation] [Correl voedsel en...] [2008-10-20 16:30:30] [a8228479d4547a92e2d3f176a5299609] [Current]
F    D          [Pearson Correlation] [correl consumpt v...] [2008-10-20 16:37:08] [ed2ba3b6182103c15c0ab511ae4e6284]
F    D            [Pearson Correlation] [correl tot pro en...] [2008-10-20 16:45:16] [ed2ba3b6182103c15c0ab511ae4e6284]
F    D              [Pearson Correlation] [correl tot en tab] [2008-10-20 16:49:04] [ed2ba3b6182103c15c0ab511ae4e6284]
F    D                [Pearson Correlation] [correl consu en t...] [2008-10-20 16:54:01] [ed2ba3b6182103c15c0ab511ae4e6284]
F    D                [Pearson Correlation] [corre consu en tota] [2008-10-20 16:57:40] [ed2ba3b6182103c15c0ab511ae4e6284]
-    D          [Pearson Correlation] [correlatie gezond...] [2008-10-20 17:32:21] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D            [Pearson Correlation] [correlatie tussen...] [2008-10-20 17:38:26] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D              [Pearson Correlation] [correlatie tussen...] [2008-10-20 17:49:20] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D                [Pearson Correlation] [correlatie tussen...] [2008-10-20 17:57:05] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D                  [Pearson Correlation] [correlatie index ...] [2008-10-20 18:04:28] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D                  [Pearson Correlation] [correlatie tussen...] [2008-10-20 18:09:23] [4ad596f10399a71ad29b7d76e6ab90ac]
Feedback Forum
2008-10-24 11:29:46 [2df1bcd103d52957f4a39bd4617794c8] [reply] 
Men kan een (positieve), niet sterke correlatie grafisch vaststellen. Ook nemen we enkele outliers waar.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
113,5
121,2
130,4
115,2
117,9
110,7
107,6
124,3
115,1
112,5
127,9
117,4
119,3
130,4
126
125,4
130,5
115,9
108,7
124
119,4
118,6
131,3
111,1
124,8
132,3
126,7
131,7
130,9
122,1
113,2
133,6
119,2
129,4
131,4
117,1
130,5
132,3
140,8
137,5
128,6
126,7
120,8
139,3
128,6
131,3
136,3
128,8
133,2
136,3
151,1
145
134,4
135,7
128,7
129,2
138,6
132,7
132,5
135,2
Dataseries Y:
Download CSV
Histogram 
41,1
58
63
53,8
54,7
55,5
56,1
69,6
69,4
57,2
68
53,3
47,9
60,8
61,7
57,8
51,4
50,5
48,1
58,7
54
56,1
60,4
51,2
50,7
56,4
53,3
52,6
47,7
49,5
48,5
55,3
49,8
57,4
64,6
53
41,5
55,9
58,4
53,5
50,6
58,5
49,1
61,1
52,3
58,4
65,5
61,7
45,1
52,1
59,3
57,9
45
64,9
63,8
69,4
71,1
62,9
73,5
62,6

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=17610&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=17610&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17610&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
Mean126.6856.52
Biased Variance84.664266666666751.6852666666667
Biased Standard Deviation9.201318746063897.1892465993779
Covariance20.9502372881356
Correlation0.311426992229758
Determination0.096986771489274
T-Test2.49587707441915
p-value (2 sided)0.0154299970757299
p-value (1 sided)0.00771499853786495
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 126.68 & 56.52 \tabularnewline
Biased Variance & 84.6642666666667 & 51.6852666666667 \tabularnewline
Biased Standard Deviation & 9.20131874606389 & 7.1892465993779 \tabularnewline
Covariance & 20.9502372881356 \tabularnewline
Correlation & 0.311426992229758 \tabularnewline
Determination & 0.096986771489274 \tabularnewline
T-Test & 2.49587707441915 \tabularnewline
p-value (2 sided) & 0.0154299970757299 \tabularnewline
p-value (1 sided) & 0.00771499853786495 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17610&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]126.68[/C][C]56.52[/C][/ROW]
[ROW][C]Biased Variance[/C][C]84.6642666666667[/C][C]51.6852666666667[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]9.20131874606389[/C][C]7.1892465993779[/C][/ROW]
[ROW][C]Covariance[/C][C]20.9502372881356[/C][/ROW]
[ROW][C]Correlation[/C][C]0.311426992229758[/C][/ROW]
[ROW][C]Determination[/C][C]0.096986771489274[/C][/ROW]
[ROW][C]T-Test[/C][C]2.49587707441915[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0154299970757299[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00771499853786495[/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=17610&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17610&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
Mean126.6856.52
Biased Variance84.664266666666751.6852666666667
Biased Standard Deviation9.201318746063897.1892465993779
Covariance20.9502372881356
Correlation0.311426992229758
Determination0.096986771489274
T-Test2.49587707441915
p-value (2 sided)0.0154299970757299
p-value (1 sided)0.00771499853786495
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')