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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 computationWed, 17 Dec 2014 16:04:04 +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/17/t1418832319f7n2503plku7jbv.htm/, Retrieved Thu, 16 May 2024 14:35:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270475, Retrieved Thu, 16 May 2024 14:35:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52

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] [Verband PV en PRH] [2014-12-17 16:04:04] [0adf43ccf8dfa476608a94fd7836e72e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4	0,2
3	0,1
3	0,3
4	0,4
3	0,5
3	0,3
3	0,7
4	0,4
3	0,5
3	0,8
4	0,4
3	0,3
4	0,4
2	0,4
4	0,7
4	0,2
4	0,3
3	0,5
3	0,4
3	0,4
4	0,2
4	1,1
3	0,4
5	0,5
4	0,4
4	1,1
3	0,2
3	0,2
3	0,2
1	0,2
2	0,3
4	0,1
3	0,3
4	0,9
4	0,4
2	0,6
3	0,2
3	0,5
3	0,7
4	0,4
2	0,3
3	0,6
5	0,5
1	0,2
3	0,2
3	0,6
3	0,3
4	0,6
5	0,1
4	0,4
4	0,3
2	0,2
2	0,2
3	0,2
5	0,5
3	0,2
3	0,3
3	0,3
4	0,1
3	0,2
4	0,3
3	0,5
3	0,2
3	0,4
3	0,3
3	0,3
3	0,7
4	0,3
3	0,7
1	0,3
4	0,8
3	0,3
4	0,6
3	0,6
2	0,3
3	0,4
4	0,4
4	0,3
3	0,4
3	0,3
4	0,4
2	0,2
3	0,3
3	0,1
3	0,4
3	0,4
3	0,5
4	0,5
2	0,3
3	0,2
3	0,1
4	0,1
4	0,0
2	0,2
3	0,2
2	0,1
3	0,2
3	0,2
3	0,1
4	0,5
3	0,2
2	0,2
3	0,4
4	0,2
3	0,4
3	0,3
3	0,1
2	0,2
4	0,2
4	0,2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270475&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270475&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270475&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Tabulation of Results
perfectionisme x B
00.10.20.30.40.50.60.70.80.91.1
100210000000
201641010000
305141310634100
4136510221112
501000300000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
perfectionisme  x  B \tabularnewline
  & 0 & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 & 1.1 \tabularnewline
1 & 0 & 0 & 2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
2 & 0 & 1 & 6 & 4 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
3 & 0 & 5 & 14 & 13 & 10 & 6 & 3 & 4 & 1 & 0 & 0 \tabularnewline
4 & 1 & 3 & 6 & 5 & 10 & 2 & 2 & 1 & 1 & 1 & 2 \tabularnewline
5 & 0 & 1 & 0 & 0 & 0 & 3 & 0 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270475&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]perfectionisme  x  B[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.1[/C][C]0.2[/C][C]0.3[/C][C]0.4[/C][C]0.5[/C][C]0.6[/C][C]0.7[/C][C]0.8[/C][C]0.9[/C][C]1.1[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]2[/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]2[/C][C]0[/C][C]1[/C][C]6[/C][C]4[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]3[/C][C]0[/C][C]5[/C][C]14[/C][C]13[/C][C]10[/C][C]6[/C][C]3[/C][C]4[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]4[/C][C]1[/C][C]3[/C][C]6[/C][C]5[/C][C]10[/C][C]2[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][/ROW]
[C]5[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270475&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270475&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
perfectionisme x B
00.10.20.30.40.50.60.70.80.91.1
100210000000
201641010000
305141310634100
4136510221112
501000300000






Tabulation of Expected Results
perfectionisme x B
00.10.20.30.40.50.60.70.80.91.1
10.030.270.760.630.570.30.160.140.050.030.05
20.121.183.312.722.481.30.710.590.240.120.24
30.515.0914.2511.7110.695.63.052.551.020.511.02
40.313.098.657.116.493.41.851.550.620.310.62
50.040.361.020.840.760.40.220.180.070.040.07

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
perfectionisme  x  B \tabularnewline
  & 0 & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 & 1.1 \tabularnewline
1 & 0.03 & 0.27 & 0.76 & 0.63 & 0.57 & 0.3 & 0.16 & 0.14 & 0.05 & 0.03 & 0.05 \tabularnewline
2 & 0.12 & 1.18 & 3.31 & 2.72 & 2.48 & 1.3 & 0.71 & 0.59 & 0.24 & 0.12 & 0.24 \tabularnewline
3 & 0.51 & 5.09 & 14.25 & 11.71 & 10.69 & 5.6 & 3.05 & 2.55 & 1.02 & 0.51 & 1.02 \tabularnewline
4 & 0.31 & 3.09 & 8.65 & 7.11 & 6.49 & 3.4 & 1.85 & 1.55 & 0.62 & 0.31 & 0.62 \tabularnewline
5 & 0.04 & 0.36 & 1.02 & 0.84 & 0.76 & 0.4 & 0.22 & 0.18 & 0.07 & 0.04 & 0.07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270475&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]perfectionisme  x  B[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.1[/C][C]0.2[/C][C]0.3[/C][C]0.4[/C][C]0.5[/C][C]0.6[/C][C]0.7[/C][C]0.8[/C][C]0.9[/C][C]1.1[/C][/ROW]
[C]1[/C][C]0.03[/C][C]0.27[/C][C]0.76[/C][C]0.63[/C][C]0.57[/C][C]0.3[/C][C]0.16[/C][C]0.14[/C][C]0.05[/C][C]0.03[/C][C]0.05[/C][/ROW]
[C]2[/C][C]0.12[/C][C]1.18[/C][C]3.31[/C][C]2.72[/C][C]2.48[/C][C]1.3[/C][C]0.71[/C][C]0.59[/C][C]0.24[/C][C]0.12[/C][C]0.24[/C][/ROW]
[C]3[/C][C]0.51[/C][C]5.09[/C][C]14.25[/C][C]11.71[/C][C]10.69[/C][C]5.6[/C][C]3.05[/C][C]2.55[/C][C]1.02[/C][C]0.51[/C][C]1.02[/C][/ROW]
[C]4[/C][C]0.31[/C][C]3.09[/C][C]8.65[/C][C]7.11[/C][C]6.49[/C][C]3.4[/C][C]1.85[/C][C]1.55[/C][C]0.62[/C][C]0.31[/C][C]0.62[/C][/ROW]
[C]5[/C][C]0.04[/C][C]0.36[/C][C]1.02[/C][C]0.84[/C][C]0.76[/C][C]0.4[/C][C]0.22[/C][C]0.18[/C][C]0.07[/C][C]0.04[/C][C]0.07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270475&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270475&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
perfectionisme x B
00.10.20.30.40.50.60.70.80.91.1
10.030.270.760.630.570.30.160.140.050.030.05
20.121.183.312.722.481.30.710.590.240.120.24
30.515.0914.2511.7110.695.63.052.551.020.511.02
40.313.098.657.116.493.41.851.550.620.310.62
50.040.361.020.840.760.40.220.180.070.040.07






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic45.13
Degrees of Freedom40
P value0.27

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 45.13 \tabularnewline
Degrees of Freedom & 40 \tabularnewline
P value & 0.27 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270475&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]45.13[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]40[/C][/ROW]
[ROW][C]P value[/C][C]0.27[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270475&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270475&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 Statistic45.13
Degrees of Freedom40
P value0.27


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):
par3 <- 'Pearson Chi-Squared'
par2 <- '2'
par1 <- '1'
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')