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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 12:09:23 +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/t1418818185j5t0zl58w9d9hvc.htm/, Retrieved Thu, 16 May 2024 10:13:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270102, Retrieved Thu, 16 May 2024 10:13:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58

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] [chi-squaired test] [2014-12-17 12:09:23] [f8a15a4749f25af1f83725a9fa901b6e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
23 1 0
22 1 0
21 1 0
25 1 0
30 0 1
17 1 1
27 1 0
23 0 0
23 1 0
18 0 0
18 0 0
23 1 0
19 1 0
15 1 0
20 1 0
16 1 0
24 1 1
25 1 0
25 1 0
19 0 0
19 1 0
16 1 0
19 1 0
19 1 0
23 1 0
21 1 0
22 0 0
19 1 0
20 1 1
20 1 0
3 1 0
23 1 0
23 0 0
20 0 0
15 1 0
16 0 0
7 0 0
24 1 0
17 0 0
24 1 0
24 1 0
19 0 0
25 1 1
20 1 1
28 1 0
23 0 0
27 0 1
18 0 1
28 0 1
21 1 1
19 0 0
23 1 0
27 0 1
22 1 1
28 0 1
25 1 1
21 0 1
22 0 1
28 1 1
20 0 1
29 1 1
25 1 0
25 1 0
20 1 1
20 1 0
16 0 0
20 1 1
20 0 0
23 0 1
18 0 1
25 1 0
18 0 1
19 1 1
25 0 1
25 0 1
25 0 1
24 0 1
19 1 1
26 1 1
10 1 1
17 1 1
13 0 1
17 0 1
30 1 1
25 0 0
4 0 1
16 0 1
21 0 1
23 1 0
22 1 1
17 0 0
20 0 1
20 1 0
22 0 1
16 1 0
23 1 1
0 0 1
18 1 1
25 1 1
23 1 0
12 0 0
18 0 1
24 0 0
11 1 0
18 1 1
23 1 0
24 1 1
29 0 1
18 0 0
15 0 1
29 1 0
16 1 0
19 0 0
22 0 1
16 0 0
23 1 1
23 1 0
19 0 0
4 0 0
20 0 0
24 1 1
20 1 0
4 1 0
24 1 0
22 0 1
16 1 0
3 1 0
15 1 1
24 0 0
17 0 1
20 1 1
27 0 1
26 1 1
23 1 1
17 0 0
20 1 0
22 0 0
19 1 0
24 1 0
19 0 0
23 1 1
15 0 1
27 1 0
26 0 1
22 1 1
22 0 0
18 0 1
15 1 1
22 1 1
27 0 1
10 1 1
20 1 1
17 0 1
23 1 1
19 0 1
13 0 1
27 1 1
23 1 1
16 0 1
25 1 1
2 0 1
26 0 1
20 1 1
23 0 0
22 0 1
24 1 1

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=270102&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=270102&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270102&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
gender x NUMERACYTOT
023471011121315161718192021222324252627282930
01102100122568752853424211
10021021004522813351691023221

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
gender  x  NUMERACYTOT \tabularnewline
  & 0 & 2 & 3 & 4 & 7 & 10 & 11 & 12 & 13 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \tabularnewline
0 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 2 & 2 & 5 & 6 & 8 & 7 & 5 & 2 & 8 & 5 & 3 & 4 & 2 & 4 & 2 & 1 & 1 \tabularnewline
1 & 0 & 0 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 4 & 5 & 2 & 2 & 8 & 13 & 3 & 5 & 16 & 9 & 10 & 2 & 3 & 2 & 2 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270102&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]gender  x  NUMERACYTOT[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]2[/C][C]3[/C][C]4[/C][C]7[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/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][C]29[/C][C]30[/C][/ROW]
[C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]5[/C][C]6[/C][C]8[/C][C]7[/C][C]5[/C][C]2[/C][C]8[/C][C]5[/C][C]3[/C][C]4[/C][C]2[/C][C]4[/C][C]2[/C][C]1[/C][C]1[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]4[/C][C]5[/C][C]2[/C][C]2[/C][C]8[/C][C]13[/C][C]3[/C][C]5[/C][C]16[/C][C]9[/C][C]10[/C][C]2[/C][C]3[/C][C]2[/C][C]2[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270102&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270102&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
gender x NUMERACYTOT
023471011121315161718192021222324252627282930
01102100122568752853424211
10021021004522813351691023221






Tabulation of Expected Results
gender x NUMERACYTOT
023471011121315161718192021222324252627282930
00.440.440.881.320.440.880.440.440.882.644.43.524.46.67.922.25.729.235.286.161.763.081.761.320.88
10.560.561.121.680.561.120.560.561.123.365.64.485.68.410.082.87.2811.776.727.842.243.922.241.681.12

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
gender  x  NUMERACYTOT \tabularnewline
  & 0 & 2 & 3 & 4 & 7 & 10 & 11 & 12 & 13 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \tabularnewline
0 & 0.44 & 0.44 & 0.88 & 1.32 & 0.44 & 0.88 & 0.44 & 0.44 & 0.88 & 2.64 & 4.4 & 3.52 & 4.4 & 6.6 & 7.92 & 2.2 & 5.72 & 9.23 & 5.28 & 6.16 & 1.76 & 3.08 & 1.76 & 1.32 & 0.88 \tabularnewline
1 & 0.56 & 0.56 & 1.12 & 1.68 & 0.56 & 1.12 & 0.56 & 0.56 & 1.12 & 3.36 & 5.6 & 4.48 & 5.6 & 8.4 & 10.08 & 2.8 & 7.28 & 11.77 & 6.72 & 7.84 & 2.24 & 3.92 & 2.24 & 1.68 & 1.12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270102&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]gender  x  NUMERACYTOT[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]2[/C][C]3[/C][C]4[/C][C]7[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/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][C]29[/C][C]30[/C][/ROW]
[C]0[/C][C]0.44[/C][C]0.44[/C][C]0.88[/C][C]1.32[/C][C]0.44[/C][C]0.88[/C][C]0.44[/C][C]0.44[/C][C]0.88[/C][C]2.64[/C][C]4.4[/C][C]3.52[/C][C]4.4[/C][C]6.6[/C][C]7.92[/C][C]2.2[/C][C]5.72[/C][C]9.23[/C][C]5.28[/C][C]6.16[/C][C]1.76[/C][C]3.08[/C][C]1.76[/C][C]1.32[/C][C]0.88[/C][/ROW]
[C]1[/C][C]0.56[/C][C]0.56[/C][C]1.12[/C][C]1.68[/C][C]0.56[/C][C]1.12[/C][C]0.56[/C][C]0.56[/C][C]1.12[/C][C]3.36[/C][C]5.6[/C][C]4.48[/C][C]5.6[/C][C]8.4[/C][C]10.08[/C][C]2.8[/C][C]7.28[/C][C]11.77[/C][C]6.72[/C][C]7.84[/C][C]2.24[/C][C]3.92[/C][C]2.24[/C][C]1.68[/C][C]1.12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270102&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270102&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
gender x NUMERACYTOT
023471011121315161718192021222324252627282930
00.440.440.881.320.440.880.440.440.882.644.43.524.46.67.922.25.729.235.286.161.763.081.761.320.88
10.560.561.121.680.561.120.560.561.123.365.64.485.68.410.082.87.2811.776.727.842.243.922.241.681.12






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic31.98
Degrees of Freedom24
P value0.13

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 31.98 \tabularnewline
Degrees of Freedom & 24 \tabularnewline
P value & 0.13 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270102&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]31.98[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]24[/C][/ROW]
[ROW][C]P value[/C][C]0.13[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270102&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270102&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 Statistic31.98
Degrees of Freedom24
P value0.13


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 1 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 2 ; par2 = 1 ; 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')