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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationFri, 05 Dec 2014 14:03:48 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/05/t1417788278cy2ps9ehulhbruz.htm/, Retrieved Thu, 16 May 2024 18:17:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263498, Retrieved Thu, 16 May 2024 18:17:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [confstat en confsoft] [2014-12-05 14:03:48] [4d754bf6e19324217bcb21f53e4ec277] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13 12
14 11
16 13
14 11
13 10
15 7
13 10
20 15
17 12
15 12
16 10
17 14
11 6
16 12
16 14
15 11
14 12
16 13
17 11
15 7
14 11
14 7
15 12
17 13
14 9
16 11
15 12
16 12
8 5
17 13
10 6
16 6
16 12
16 11
8 6
14 11
16 12
19 13
19 14
14 12
13 14
15 11
11 10
9 7
12 7
13 10
17 12
7 5
15 10
12 12
15 11
16 12
14 11
16 12
13 10
16 9
10 7
12 9
14 10
16 12
18 14
12 9
15 12

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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263498&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263498&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263498&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' @ jenkins.wessa.net






Tabulation of Results
CONFSTATTOT x CONFSOFTTOT
5679101112131415
71000000000
81100000000
90010000000
100110000000
110100100000
120012001000
130000401010
140011152000
150020134000
160101127210
170000012210
180000000010
190000000110
200000000001

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
CONFSTATTOT  x  CONFSOFTTOT \tabularnewline
  & 5 & 6 & 7 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
7 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
8 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
9 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
10 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
11 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
12 & 0 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
13 & 0 & 0 & 0 & 0 & 4 & 0 & 1 & 0 & 1 & 0 \tabularnewline
14 & 0 & 0 & 1 & 1 & 1 & 5 & 2 & 0 & 0 & 0 \tabularnewline
15 & 0 & 0 & 2 & 0 & 1 & 3 & 4 & 0 & 0 & 0 \tabularnewline
16 & 0 & 1 & 0 & 1 & 1 & 2 & 7 & 2 & 1 & 0 \tabularnewline
17 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & 1 & 0 \tabularnewline
18 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \tabularnewline
19 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \tabularnewline
20 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263498&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]CONFSTATTOT  x  CONFSOFTTOT[/C][/ROW]
[ROW][C] [/C][C]5[/C][C]6[/C][C]7[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][/ROW]
[C]7[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]8[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]9[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]10[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]12[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]13[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]4[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]14[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]5[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]3[/C][C]4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]16[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]7[/C][C]2[/C][C]1[/C][C]0[/C][/ROW]
[C]17[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]1[/C][C]0[/C][/ROW]
[C]18[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]19[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]20[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263498&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263498&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:

Tabulation of Results
CONFSTATTOT x CONFSOFTTOT
5679101112131415
71000000000
81100000000
90010000000
100110000000
110100100000
120012001000
130000401010
140011152000
150020134000
160101127210
170000012210
180000000010
190000000110
200000000001






Tabulation of Expected Results
CONFSTATTOT x CONFSOFTTOT
5679101112131415
70.030.060.10.060.130.170.270.080.080.02
80.060.130.190.130.250.350.540.160.160.03
90.030.060.10.060.130.170.270.080.080.02
100.060.130.190.130.250.350.540.160.160.03
110.060.130.190.130.250.350.540.160.160.03
120.130.250.380.250.510.71.080.320.320.06
130.190.380.570.380.761.051.620.480.480.1
140.320.630.950.631.271.752.70.790.790.16
150.320.630.950.631.271.752.70.790.790.16
160.480.951.430.951.92.624.051.191.190.24
170.190.380.570.380.761.051.620.480.480.1
180.030.060.10.060.130.170.270.080.080.02
190.060.130.190.130.250.350.540.160.160.03
200.030.060.10.060.130.170.270.080.080.02

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
CONFSTATTOT  x  CONFSOFTTOT \tabularnewline
  & 5 & 6 & 7 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
7 & 0.03 & 0.06 & 0.1 & 0.06 & 0.13 & 0.17 & 0.27 & 0.08 & 0.08 & 0.02 \tabularnewline
8 & 0.06 & 0.13 & 0.19 & 0.13 & 0.25 & 0.35 & 0.54 & 0.16 & 0.16 & 0.03 \tabularnewline
9 & 0.03 & 0.06 & 0.1 & 0.06 & 0.13 & 0.17 & 0.27 & 0.08 & 0.08 & 0.02 \tabularnewline
10 & 0.06 & 0.13 & 0.19 & 0.13 & 0.25 & 0.35 & 0.54 & 0.16 & 0.16 & 0.03 \tabularnewline
11 & 0.06 & 0.13 & 0.19 & 0.13 & 0.25 & 0.35 & 0.54 & 0.16 & 0.16 & 0.03 \tabularnewline
12 & 0.13 & 0.25 & 0.38 & 0.25 & 0.51 & 0.7 & 1.08 & 0.32 & 0.32 & 0.06 \tabularnewline
13 & 0.19 & 0.38 & 0.57 & 0.38 & 0.76 & 1.05 & 1.62 & 0.48 & 0.48 & 0.1 \tabularnewline
14 & 0.32 & 0.63 & 0.95 & 0.63 & 1.27 & 1.75 & 2.7 & 0.79 & 0.79 & 0.16 \tabularnewline
15 & 0.32 & 0.63 & 0.95 & 0.63 & 1.27 & 1.75 & 2.7 & 0.79 & 0.79 & 0.16 \tabularnewline
16 & 0.48 & 0.95 & 1.43 & 0.95 & 1.9 & 2.62 & 4.05 & 1.19 & 1.19 & 0.24 \tabularnewline
17 & 0.19 & 0.38 & 0.57 & 0.38 & 0.76 & 1.05 & 1.62 & 0.48 & 0.48 & 0.1 \tabularnewline
18 & 0.03 & 0.06 & 0.1 & 0.06 & 0.13 & 0.17 & 0.27 & 0.08 & 0.08 & 0.02 \tabularnewline
19 & 0.06 & 0.13 & 0.19 & 0.13 & 0.25 & 0.35 & 0.54 & 0.16 & 0.16 & 0.03 \tabularnewline
20 & 0.03 & 0.06 & 0.1 & 0.06 & 0.13 & 0.17 & 0.27 & 0.08 & 0.08 & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263498&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]CONFSTATTOT  x  CONFSOFTTOT[/C][/ROW]
[ROW][C] [/C][C]5[/C][C]6[/C][C]7[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][/ROW]
[C]7[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.06[/C][C]0.13[/C][C]0.17[/C][C]0.27[/C][C]0.08[/C][C]0.08[/C][C]0.02[/C][/ROW]
[C]8[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.13[/C][C]0.25[/C][C]0.35[/C][C]0.54[/C][C]0.16[/C][C]0.16[/C][C]0.03[/C][/ROW]
[C]9[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.06[/C][C]0.13[/C][C]0.17[/C][C]0.27[/C][C]0.08[/C][C]0.08[/C][C]0.02[/C][/ROW]
[C]10[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.13[/C][C]0.25[/C][C]0.35[/C][C]0.54[/C][C]0.16[/C][C]0.16[/C][C]0.03[/C][/ROW]
[C]11[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.13[/C][C]0.25[/C][C]0.35[/C][C]0.54[/C][C]0.16[/C][C]0.16[/C][C]0.03[/C][/ROW]
[C]12[/C][C]0.13[/C][C]0.25[/C][C]0.38[/C][C]0.25[/C][C]0.51[/C][C]0.7[/C][C]1.08[/C][C]0.32[/C][C]0.32[/C][C]0.06[/C][/ROW]
[C]13[/C][C]0.19[/C][C]0.38[/C][C]0.57[/C][C]0.38[/C][C]0.76[/C][C]1.05[/C][C]1.62[/C][C]0.48[/C][C]0.48[/C][C]0.1[/C][/ROW]
[C]14[/C][C]0.32[/C][C]0.63[/C][C]0.95[/C][C]0.63[/C][C]1.27[/C][C]1.75[/C][C]2.7[/C][C]0.79[/C][C]0.79[/C][C]0.16[/C][/ROW]
[C]15[/C][C]0.32[/C][C]0.63[/C][C]0.95[/C][C]0.63[/C][C]1.27[/C][C]1.75[/C][C]2.7[/C][C]0.79[/C][C]0.79[/C][C]0.16[/C][/ROW]
[C]16[/C][C]0.48[/C][C]0.95[/C][C]1.43[/C][C]0.95[/C][C]1.9[/C][C]2.62[/C][C]4.05[/C][C]1.19[/C][C]1.19[/C][C]0.24[/C][/ROW]
[C]17[/C][C]0.19[/C][C]0.38[/C][C]0.57[/C][C]0.38[/C][C]0.76[/C][C]1.05[/C][C]1.62[/C][C]0.48[/C][C]0.48[/C][C]0.1[/C][/ROW]
[C]18[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.06[/C][C]0.13[/C][C]0.17[/C][C]0.27[/C][C]0.08[/C][C]0.08[/C][C]0.02[/C][/ROW]
[C]19[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.13[/C][C]0.25[/C][C]0.35[/C][C]0.54[/C][C]0.16[/C][C]0.16[/C][C]0.03[/C][/ROW]
[C]20[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.06[/C][C]0.13[/C][C]0.17[/C][C]0.27[/C][C]0.08[/C][C]0.08[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263498&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263498&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
CONFSTATTOT x CONFSOFTTOT
5679101112131415
70.030.060.10.060.130.170.270.080.080.02
80.060.130.190.130.250.350.540.160.160.03
90.030.060.10.060.130.170.270.080.080.02
100.060.130.190.130.250.350.540.160.160.03
110.060.130.190.130.250.350.540.160.160.03
120.130.250.380.250.510.71.080.320.320.06
130.190.380.570.380.761.051.620.480.480.1
140.320.630.950.631.271.752.70.790.790.16
150.320.630.950.631.271.752.70.790.790.16
160.480.951.430.951.92.624.051.191.190.24
170.190.380.570.380.761.051.620.480.480.1
180.030.060.10.060.130.170.270.080.080.02
190.060.130.190.130.250.350.540.160.160.03
200.030.060.10.060.130.170.270.080.080.02






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic228.45
Degrees of Freedom117
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 228.45 \tabularnewline
Degrees of Freedom & 117 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263498&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]228.45[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]117[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263498&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263498&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic228.45
Degrees of Freedom117
P value0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')