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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

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

Date of computation

Wed, 17 Dec 2014 14:02:09 +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/17/t141882498023uzdn33cugcm81.htm/, Retrieved Thu, 16 May 2024 21:00:37 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270283, Retrieved Thu, 16 May 2024 21:00:37 +0000

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Estimated Impact

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] [I1 B/S] [2014-12-17 14:02:09] [32fa21232fc319032ead83218c7d01c8] [Current]
- R P     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [f] [2014-12-17 14:05:41] [118a39334d200089014f927b57d44a19] 
- RMPD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-12-17 14:15:44] [118a39334d200089014f927b57d44a19] 

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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	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270283&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270283&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270283&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	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Tabulation of Results
B/S x AMS.I1
	4	6	8	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0	1	2	3	0	1	2	8	7	12	6	15	17	15	22	11	12	6	5	3	1
1	1	0	0	2	1	2	2	6	6	8	9	13	21	19	19	14	5	4	2	1	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
B/S  x  AMS.I1 \tabularnewline
  & 4 & 6 & 8 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline
0 & 0 & 1 & 2 & 3 & 0 & 1 & 2 & 8 & 7 & 12 & 6 & 15 & 17 & 15 & 22 & 11 & 12 & 6 & 5 & 3 & 1 \tabularnewline
1 & 1 & 0 & 0 & 2 & 1 & 2 & 2 & 6 & 6 & 8 & 9 & 13 & 21 & 19 & 19 & 14 & 5 & 4 & 2 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270283&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]B/S  x  AMS.I1[/C][/ROW]
[ROW][C] [/C][C]4[/C][C]6[/C][C]8[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/C][C]27[/C][C]28[/C][/ROW]
[C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]0[/C][C]1[/C][C]2[/C][C]8[/C][C]7[/C][C]12[/C][C]6[/C][C]15[/C][C]17[/C][C]15[/C][C]22[/C][C]11[/C][C]12[/C][C]6[/C][C]5[/C][C]3[/C][C]1[/C][/ROW]
[C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]2[/C][C]2[/C][C]6[/C][C]6[/C][C]8[/C][C]9[/C][C]13[/C][C]21[/C][C]19[/C][C]19[/C][C]14[/C][C]5[/C][C]4[/C][C]2[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270283&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270283&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
B/S x AMS.I1
	4	6	8	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0	1	2	3	0	1	2	8	7	12	6	15	17	15	22	11	12	6	5	3	1
1	1	0	0	2	1	2	2	6	6	8	9	13	21	19	19	14	5	4	2	1	2

Tabulation of Expected Results
B/S x AMS.I1
	4	6	8	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0.52	0.52	1.04	2.6	0.52	1.56	2.08	7.29	6.77	10.42	7.81	14.59	19.8	17.71	21.36	13.02	8.86	5.21	3.65	2.08	1.56
1	0.48	0.48	0.96	2.4	0.48	1.44	1.92	6.71	6.23	9.58	7.19	13.41	18.2	16.29	19.64	11.98	8.14	4.79	3.35	1.92	1.44

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
B/S  x  AMS.I1 \tabularnewline
  & 4 & 6 & 8 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline
0 & 0.52 & 0.52 & 1.04 & 2.6 & 0.52 & 1.56 & 2.08 & 7.29 & 6.77 & 10.42 & 7.81 & 14.59 & 19.8 & 17.71 & 21.36 & 13.02 & 8.86 & 5.21 & 3.65 & 2.08 & 1.56 \tabularnewline
1 & 0.48 & 0.48 & 0.96 & 2.4 & 0.48 & 1.44 & 1.92 & 6.71 & 6.23 & 9.58 & 7.19 & 13.41 & 18.2 & 16.29 & 19.64 & 11.98 & 8.14 & 4.79 & 3.35 & 1.92 & 1.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270283&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]B/S  x  AMS.I1[/C][/ROW]
[ROW][C] [/C][C]4[/C][C]6[/C][C]8[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/C][C]27[/C][C]28[/C][/ROW]
[C]0[/C][C]0.52[/C][C]0.52[/C][C]1.04[/C][C]2.6[/C][C]0.52[/C][C]1.56[/C][C]2.08[/C][C]7.29[/C][C]6.77[/C][C]10.42[/C][C]7.81[/C][C]14.59[/C][C]19.8[/C][C]17.71[/C][C]21.36[/C][C]13.02[/C][C]8.86[/C][C]5.21[/C][C]3.65[/C][C]2.08[/C][C]1.56[/C][/ROW]
[C]1[/C][C]0.48[/C][C]0.48[/C][C]0.96[/C][C]2.4[/C][C]0.48[/C][C]1.44[/C][C]1.92[/C][C]6.71[/C][C]6.23[/C][C]9.58[/C][C]7.19[/C][C]13.41[/C][C]18.2[/C][C]16.29[/C][C]19.64[/C][C]11.98[/C][C]8.14[/C][C]4.79[/C][C]3.35[/C][C]1.92[/C][C]1.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270283&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270283&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
B/S x AMS.I1
	4	6	8	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0.52	0.52	1.04	2.6	0.52	1.56	2.08	7.29	6.77	10.42	7.81	14.59	19.8	17.71	21.36	13.02	8.86	5.21	3.65	2.08	1.56
1	0.48	0.48	0.96	2.4	0.48	1.44	1.92	6.71	6.23	9.58	7.19	13.41	18.2	16.29	19.64	11.98	8.14	4.79	3.35	1.92	1.44

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	14.33
Degrees of Freedom	20
P value	0.81

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 14.33 \tabularnewline
Degrees of Freedom & 20 \tabularnewline
P value & 0.81 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270283&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]14.33[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]20[/C][/ROW]
[ROW][C]P value[/C][C]0.81[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270283&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270283&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
Pearson Chi Square Statistic	14.33
Degrees of Freedom	20
P value	0.81

Figure 1

PNG link

Postscript link

PDF link

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code