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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 14:11:08 -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/t1224533494lpnl2y0clpv45rg.htm/, Retrieved Sun, 19 May 2024 15:21:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18058, Retrieved Sun, 19 May 2024 15:21:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Pearson Correlation] [Correlation 4] [2008-10-20 20:11:08] [8758b22b4a10c08c31202f233362e983] [Current]
-    D    [Pearson Correlation] [correlation 6] [2008-10-20 20:33:06] [1ce0d16c8f4225c977b42c8fa93bc163]
F    D      [Pearson Correlation] [correlation 8] [2008-10-20 21:05:22] [1ce0d16c8f4225c977b42c8fa93bc163]
-    D    [Pearson Correlation] [correlation 7] [2008-10-20 20:35:50] [1ce0d16c8f4225c977b42c8fa93bc163]
-    D    [Pearson Correlation] [Correlation uitvo...] [2008-10-26 08:42:59] [7d3039e6253bb5fb3b26df1537d500b4]
Feedback Forum
2008-10-27 23:26:32 [a7e076854c32462fd499d2de3f6d4e86] [reply] 
Goede interpretatie

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110,089
99,966
94,195
119,588
125,946
118,906
108,717
118,357
115,422
130,937
111,802
120,357
121,12
108,752
98,973
116,721
123,857
114,056
98,309
110,251
108,538
122,526
118,394
116,691
116,014
111,784
95,164
121,028
129,89
116,102
102,055
113,562
113,071
126,486
119,472
117,141
121,925
112,688
90,974
126,398
130,401
116,873
111,917
113,919
117,931
139,332
127,781
118,103
136,984
119,566
107,238
139,389
139,798
138,074
129,739
125,098
129,341
149,083
137,721
130,126
140,499
118,165
115,932
144,662
136,159
147,339
138,807
135,275
135,84
161,702
132,606
147,419
154,865
131,545
126,212
150,316
154,524
154,28
131,059
147,168
141,8
162,022
143,924
151,406
159,601
143,513
132,302
152,021
171,573
161,591
134,057
172,247
173,384
173,706
188,178
165,932
179,795
Dataseries Y:
Download CSV
Histogram 
32,021
36,502
28,051
39,575
39,413
39,054
35,469
32,087
34,02
36,611
30,739
34,192
35,328
36,931
26,229
31,308
34,875
33,497
30,442
32,66
33,515
36,068
34,195
38,295
35,051
38,453
25,666
36,585
39,54
34,601
34,541
34,128
34,18
33,495
34,234
32,428
32,772
38,33
26,063
36,438
36,864
32,816
36,693
31,915
35,127
39,707
36,012
36,1
41,721
39,562
31,427
38,843
38,922
36,13
37,305
34,813
36,495
42,152
40,666
41,968
45,366
44,416
35,483
47,359
41,306
43,562
41,596
39,88
41,678
49,022
39,094
46,976
43,089
44,204
35,442
44,33
44,797
45,332
42,375
42,074
43,94
51,484
42,022
46,825
48,843
52,889
45,052
46,115
50,811
45,231
44,128
46,474
47,786
44,953
46,335
43,605
45,179

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18058&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18058&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18058&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean130.26870103092838.7821958762887
Biased Variance413.5674367250534.1683227142098
Biased Standard Deviation20.33635750878345.84536762866202
Covariance101.723768684171
Correlation0.846909378520299
Determination0.717255495425639
T-Test15.5239293818406
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom95
Number of Observations97

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 130.268701030928 & 38.7821958762887 \tabularnewline
Biased Variance & 413.56743672505 & 34.1683227142098 \tabularnewline
Biased Standard Deviation & 20.3363575087834 & 5.84536762866202 \tabularnewline
Covariance & 101.723768684171 \tabularnewline
Correlation & 0.846909378520299 \tabularnewline
Determination & 0.717255495425639 \tabularnewline
T-Test & 15.5239293818406 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 95 \tabularnewline
Number of Observations & 97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18058&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]130.268701030928[/C][C]38.7821958762887[/C][/ROW]
[ROW][C]Biased Variance[/C][C]413.56743672505[/C][C]34.1683227142098[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]20.3363575087834[/C][C]5.84536762866202[/C][/ROW]
[ROW][C]Covariance[/C][C]101.723768684171[/C][/ROW]
[ROW][C]Correlation[/C][C]0.846909378520299[/C][/ROW]
[ROW][C]Determination[/C][C]0.717255495425639[/C][/ROW]
[ROW][C]T-Test[/C][C]15.5239293818406[/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]95[/C][/ROW]
[ROW][C]Number of Observations[/C][C]97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18058&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18058&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
Mean130.26870103092838.7821958762887
Biased Variance413.5674367250534.1683227142098
Biased Standard Deviation20.33635750878345.84536762866202
Covariance101.723768684171
Correlation0.846909378520299
Determination0.717255495425639
T-Test15.5239293818406
p-value (2 sided)0
p-value (1 sided)0
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')