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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 computationMon, 20 Oct 2008 13:20:53 -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/t1224530504n86of8pv5tfzkvz.htm/, Retrieved Sun, 19 May 2024 14:42:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17942, Retrieved Sun, 19 May 2024 14:42:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Back to Back Histogram] [Omzet industrie v...] [2008-10-20 18:44:01] [e340b5273efb4d885d02142e6a0fc74b]
F RMPD  [Pearson Correlation] [Correlation omzet...] [2008-10-20 19:08:40] [e340b5273efb4d885d02142e6a0fc74b]
F    D    [Pearson Correlation] [correlation inves...] [2008-10-20 19:15:50] [e340b5273efb4d885d02142e6a0fc74b]
F    D        [Pearson Correlation] [correlation omzet...] [2008-10-20 19:20:53] [0ee5a336ab8a2fb221821eda2df0f830] [Current]
F    D          [Pearson Correlation] [correlaation omze...] [2008-10-20 19:26:14] [e340b5273efb4d885d02142e6a0fc74b]
Feedback Forum
2008-10-27 01:36:52 [Kristof Augustyns] [reply] 
Er is inderdaad correlatie tussen de omzet en de investeringen in de industrie:
0.364093119119112 of een 36% samenhang.
Hier is er dus helemaal niet veel correlatie en dit komt ook doordat de puntjes zo ver gespreid zijn en toch een paar outliers vertonen.
Een mooie rechte zal toch niet direct getrokken kunnen worden.
Er zal dus niet echt veel gebeuren met de omzet als de investeringen in de industrie een kleine wijziging vertonen.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
83,1
89,6
105,7
110,7
110,4
109
106
100,9
114,3
101,2
109,2
111,6
91,7
93,7
105,7
109,5
105,3
102,8
100,6
97,6
110,3
107,2
107,2
108,1
97,1
92,2
112,2
111,6
115,7
111,3
104,2
103,2
112,7
106,4
102,6
110,6
95,2
89
112,5
116,8
107,2
113,6
101,8
102,6
122,7
110,3
110,5
121,6
100,3
100,7
123,4
127,1
124,1
131,2
111,6
114,2
130,1
125,9
119
133,8
107,5
113,5
134,4
126,8
135,6
139,9
129,8
131
153,1
134,1
144,1
155,9
123,3
128,1
144,3
153
149,9
150,9
141
138,9
157,4
142,9
151,7
161
138,5
135,9
151,5
164
159,1
157
142,1
144,8
152,1
154,6
148,7
157,7
146,7
Dataseries Y:
Download CSV
Histogram 
80,7
86,9
105
95,1
100,2
182,4
90
78,2
97,4
84,2
90
100,9
84,5
92,3
90,3
91
96,4
167,6
88,5
67,5
83
77,7
80,6
96,1
71,2
75,3
90,9
106,4
96,3
181,2
65,4
72,2
80,4
77,7
76,5
100,1
73,5
77,3
98,6
112,4
77,3
139,3
75,4
64,2
86,8
79,1
71,7
100
82,1
74,8
92,3
83,3
83,7
148
71,4
71,2
84,6
80,9
80,6
105,5
79,2
78,4
92,6
88,3
98,2
157,4
73,9
80,9
93
84,9
96,2
106,5
81,7
82,9
96
92,6
116,5
155
95,1
86,2
105
89,7
97,1
120,8
92,2
98,8
104,1
106,5
113,4
192,4
103,6
97,6
99,9
106,2
104,9
114,2
94,5

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17942&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17942&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17942&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean121.82680412371195.778350515464
Biased Variance415.591652672973603.481696248273
Biased Standard Deviation20.386065159146624.5658644514756
Covariance184.237669673540
Correlation0.364093119119112
Determination0.132563799389884
T-Test3.81026781915397
p-value (2 sided)0.000246290848204822
p-value (1 sided)0.000123145424102411
Degrees of Freedom95
Number of Observations97

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 121.826804123711 & 95.778350515464 \tabularnewline
Biased Variance & 415.591652672973 & 603.481696248273 \tabularnewline
Biased Standard Deviation & 20.3860651591466 & 24.5658644514756 \tabularnewline
Covariance & 184.237669673540 \tabularnewline
Correlation & 0.364093119119112 \tabularnewline
Determination & 0.132563799389884 \tabularnewline
T-Test & 3.81026781915397 \tabularnewline
p-value (2 sided) & 0.000246290848204822 \tabularnewline
p-value (1 sided) & 0.000123145424102411 \tabularnewline
Degrees of Freedom & 95 \tabularnewline
Number of Observations & 97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17942&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]121.826804123711[/C][C]95.778350515464[/C][/ROW]
[ROW][C]Biased Variance[/C][C]415.591652672973[/C][C]603.481696248273[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]20.3860651591466[/C][C]24.5658644514756[/C][/ROW]
[ROW][C]Covariance[/C][C]184.237669673540[/C][/ROW]
[ROW][C]Correlation[/C][C]0.364093119119112[/C][/ROW]
[ROW][C]Determination[/C][C]0.132563799389884[/C][/ROW]
[ROW][C]T-Test[/C][C]3.81026781915397[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.000246290848204822[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.000123145424102411[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]95[/C][/ROW]
[ROW][C]Number of Observations[/C][C]97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17942&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17942&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
Mean121.82680412371195.778350515464
Biased Variance415.591652672973603.481696248273
Biased Standard Deviation20.386065159146624.5658644514756
Covariance184.237669673540
Correlation0.364093119119112
Determination0.132563799389884
T-Test3.81026781915397
p-value (2 sided)0.000246290848204822
p-value (1 sided)0.000123145424102411
Degrees of Freedom95
Number of Observations97


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')