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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 14:27:55 -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/t1224534533ke2xl8p7k6wnjnw.htm/, Retrieved Sun, 19 May 2024 14:11:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18088, Retrieved Sun, 19 May 2024 14:11:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146

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] [8a1195ff8db4df756ce44b463a631c76] [Current]
F    D      [Pearson Correlation] [Q10 Verband Bouwp...] [2008-10-20 21:02:59] [86761fc994bdf34e4f4ab5b8e1d9e1c3]
-    D        [Pearson Correlation] [Q10 Verband bouwp...] [2008-10-22 19:43:26] [aa5573c1db401b164e448aef050955a1]
-    D        [Pearson Correlation] [Q10 Verband Bouwp...] [2008-10-22 19:51:38] [029836ea9edf8c9ba60a1b5022096fad]
F    D      [Pearson Correlation] [Q10 Verband Bouwp...] [2008-10-20 21:13:31] [86761fc994bdf34e4f4ab5b8e1d9e1c3]
-    D      [Pearson Correlation] [Q9-Verband bouwp...] [2008-10-22 18:09:48] [aa5573c1db401b164e448aef050955a1]
Feedback Forum
2008-10-27 07:45:10 [Siem Van Opstal] [reply] 
De student doet een zeer uitgebreide, correcte interpratie van zijn tijdreeksen

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
82.7
88.9
105.9
100.8
94
105
58.5
87.6
113.1
112.5
89.6
74.5
82.7
90.1
109.4
96
89.2
109.1
49.1
92.9
107.7
103.5
91.1
79.8
71.9
82.9
90.1
100.7
90.7
108.8
44.1
93.6
107.4
96.5
93.6
76.5
76.7
84
103.3
88.5
99
105.9
44.7
94
107.1
104.8
102.5
77.7
85.2
91.3
106.5
92.4
97.5
107
51.1
98.6
102.2
114.3
99.4
72.5
92.3
99.4
85.9
109.4
97.6
Dataseries Y:
Download CSV
Histogram 
1954
1828
2251
2277
2085
2282
2266
1878
2267
2069
1746
2299
2360
2214
2825
2355
2333
3016
2155
2172
2150
2533
2058
2160
2259
2498
2695
2799
2945
2930
2318
2540
2570
2669
2450
2842
3439
2677
2979
2257
2842
2546
2455
2293
2379
2478
2054
2272
2348
2270
2542
2294
2185
2708
2396
2150
1883
2540
2091
2047
2495
2474
2208
2850
2148

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18088&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18088&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18088&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean91.71230769230772389.96923076923
Biased Variance259.981694674556102137.845207101
Biased Standard Deviation16.1239478625601319.590120634385
Covariance783.642572115385
Correlation0.149733821203396
Determination0.0224202172121706
T-Test1.20202659594760
p-value (2 sided)0.233852038873806
p-value (1 sided)0.116926019436903
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 & 783.642572115385 \tabularnewline
Correlation & 0.149733821203396 \tabularnewline
Determination & 0.0224202172121706 \tabularnewline
T-Test & 1.20202659594760 \tabularnewline
p-value (2 sided) & 0.233852038873806 \tabularnewline
p-value (1 sided) & 0.116926019436903 \tabularnewline
Degrees of Freedom & 63 \tabularnewline
Number of Observations & 65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18088&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]783.642572115385[/C][/ROW]
[ROW][C]Correlation[/C][C]0.149733821203396[/C][/ROW]
[ROW][C]Determination[/C][C]0.0224202172121706[/C][/ROW]
[ROW][C]T-Test[/C][C]1.20202659594760[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.233852038873806[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.116926019436903[/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=18088&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18088&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
Covariance783.642572115385
Correlation0.149733821203396
Determination0.0224202172121706
T-Test1.20202659594760
p-value (2 sided)0.233852038873806
p-value (1 sided)0.116926019436903
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')