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Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Fri, 12 Dec 2014 16:42:49 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/12/t1418402581i97mialvuzwmd69.htm/, Retrieved Thu, 16 May 2024 13:40:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266840, Retrieved Thu, 16 May 2024 13:40:33 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-12 16:42:49] [d3a85ea23f6d8881e8b5a834ebd3a404] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266840&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266840&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266840&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
Algebraic_Reasoning x Score_Estimation
	'A'	'B'	'D'
0	7	0	0
0.1	1	0	3
0.2	7	6	10
0.3	8	15	23
0.4	15	23	33
0.5	8	14	24
0.6	2	14	21
0.7	4	5	15
0.8	0	3	11
0.9	0	0	4
1	1	0	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Algebraic_Reasoning  x  Score_Estimation \tabularnewline
  & 'A' & 'B' & 'D' \tabularnewline
0 & 7 & 0 & 0 \tabularnewline
0.1 & 1 & 0 & 3 \tabularnewline
0.2 & 7 & 6 & 10 \tabularnewline
0.3 & 8 & 15 & 23 \tabularnewline
0.4 & 15 & 23 & 33 \tabularnewline
0.5 & 8 & 14 & 24 \tabularnewline
0.6 & 2 & 14 & 21 \tabularnewline
0.7 & 4 & 5 & 15 \tabularnewline
0.8 & 0 & 3 & 11 \tabularnewline
0.9 & 0 & 0 & 4 \tabularnewline
1 & 1 & 0 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266840&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Algebraic_Reasoning  x  Score_Estimation[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'D'[/C][/ROW]
[C]0[/C][C]7[/C][C]0[/C][C]0[/C][/ROW]
[C]0.1[/C][C]1[/C][C]0[/C][C]3[/C][/ROW]
[C]0.2[/C][C]7[/C][C]6[/C][C]10[/C][/ROW]
[C]0.3[/C][C]8[/C][C]15[/C][C]23[/C][/ROW]
[C]0.4[/C][C]15[/C][C]23[/C][C]33[/C][/ROW]
[C]0.5[/C][C]8[/C][C]14[/C][C]24[/C][/ROW]
[C]0.6[/C][C]2[/C][C]14[/C][C]21[/C][/ROW]
[C]0.7[/C][C]4[/C][C]5[/C][C]15[/C][/ROW]
[C]0.8[/C][C]0[/C][C]3[/C][C]11[/C][/ROW]
[C]0.9[/C][C]0[/C][C]0[/C][C]4[/C][/ROW]
[C]1[/C][C]1[/C][C]0[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266840&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266840&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
Algebraic_Reasoning x Score_Estimation
	'A'	'B'	'D'
0	7	0	0
0.1	1	0	3
0.2	7	6	10
0.3	8	15	23
0.4	15	23	33
0.5	8	14	24
0.6	2	14	21
0.7	4	5	15
0.8	0	3	11
0.9	0	0	4
1	1	0	2

Tabulation of Expected Results
Algebraic_Reasoning x Score_Estimation
	'A'	'B'	'D'
0	1.33	2.01	3.66
0.1	0.76	1.15	2.09
0.2	4.37	6.59	12.04
0.3	8.74	13.19	24.07
0.4	13.49	20.36	37.15
0.5	8.74	13.19	24.07
0.6	7.03	10.61	19.36
0.7	4.56	6.88	12.56
0.8	2.66	4.01	7.33
0.9	0.76	1.15	2.09
1	0.57	0.86	1.57

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Algebraic_Reasoning  x  Score_Estimation \tabularnewline
  & 'A' & 'B' & 'D' \tabularnewline
0 & 1.33 & 2.01 & 3.66 \tabularnewline
0.1 & 0.76 & 1.15 & 2.09 \tabularnewline
0.2 & 4.37 & 6.59 & 12.04 \tabularnewline
0.3 & 8.74 & 13.19 & 24.07 \tabularnewline
0.4 & 13.49 & 20.36 & 37.15 \tabularnewline
0.5 & 8.74 & 13.19 & 24.07 \tabularnewline
0.6 & 7.03 & 10.61 & 19.36 \tabularnewline
0.7 & 4.56 & 6.88 & 12.56 \tabularnewline
0.8 & 2.66 & 4.01 & 7.33 \tabularnewline
0.9 & 0.76 & 1.15 & 2.09 \tabularnewline
1 & 0.57 & 0.86 & 1.57 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266840&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Algebraic_Reasoning  x  Score_Estimation[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'D'[/C][/ROW]
[C]0[/C][C]1.33[/C][C]2.01[/C][C]3.66[/C][/ROW]
[C]0.1[/C][C]0.76[/C][C]1.15[/C][C]2.09[/C][/ROW]
[C]0.2[/C][C]4.37[/C][C]6.59[/C][C]12.04[/C][/ROW]
[C]0.3[/C][C]8.74[/C][C]13.19[/C][C]24.07[/C][/ROW]
[C]0.4[/C][C]13.49[/C][C]20.36[/C][C]37.15[/C][/ROW]
[C]0.5[/C][C]8.74[/C][C]13.19[/C][C]24.07[/C][/ROW]
[C]0.6[/C][C]7.03[/C][C]10.61[/C][C]19.36[/C][/ROW]
[C]0.7[/C][C]4.56[/C][C]6.88[/C][C]12.56[/C][/ROW]
[C]0.8[/C][C]2.66[/C][C]4.01[/C][C]7.33[/C][/ROW]
[C]0.9[/C][C]0.76[/C][C]1.15[/C][C]2.09[/C][/ROW]
[C]1[/C][C]0.57[/C][C]0.86[/C][C]1.57[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266840&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266840&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
Algebraic_Reasoning x Score_Estimation
	'A'	'B'	'D'
0	1.33	2.01	3.66
0.1	0.76	1.15	2.09
0.2	4.37	6.59	12.04
0.3	8.74	13.19	24.07
0.4	13.49	20.36	37.15
0.5	8.74	13.19	24.07
0.6	7.03	10.61	19.36
0.7	4.56	6.88	12.56
0.8	2.66	4.01	7.33
0.9	0.76	1.15	2.09
1	0.57	0.86	1.57

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	50.48
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 50.48 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266840&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Exact Pearson Chi Square Statistic[/C][C]50.48[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266840&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266840&T=3

As an alternative you can also use a QR Code:

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

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	50.48
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code