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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 computationMon, 08 Dec 2014 14:07:27 +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/08/t1418047661068mtwnh6hoo1xu.htm/, Retrieved Mon, 27 May 2024 23:11:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264002, Retrieved Mon, 27 May 2024 23:11:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75

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] [] [2014-12-08 14:07:27] [fc88acf9f103c58936ecf69cf99ccce2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12.9 0
12.8 0
7.4 1
6.7 1
12.6 1
14.8 0
13.3 1
11.1 1
8.2 1
11.4 1
6.4 1
12 0
6.3 0
11.3 0
11.9 1
9.3 0
10 0
13.8 1
10.8 0
11.7 1
10.9 1
16.1 1
9.9 1
11.5 0
8.3 0
11.7 0
9 1
10.8 1
10.4 0
12.7 1
11.8 0
13 1
10.8 1
12.3 1
11.3 0
11.6 1
10.9 1
12.1 1
13.3 1
10.1 1
14.3 1
9.3 1
12.5 0
7.6 0
9.2 0
14.5 1
12.3 0
12.6 0
13 0
12.6 1
13.2 0
7.7 1
10.5 0
10.9 0
4.3 1
10.3 0
11.4 0
5.6 1
8.8 0
9 0
9.6 1
6.4 0

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264002&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264002&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264002&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net






Tabulation of Results
gender x TOT
4.35.66.36.46.77.47.67.78.28.38.899.29.39.69.91010.110.310.410.510.810.911.111.311.411.511.611.711.811.91212.112.312.512.612.712.812.91313.213.313.814.314.514.816.1
000110010011111001011111021101101011101111000010
111011101100101110100022101011010110210010211101

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
gender  x  TOT \tabularnewline
  & 4.3 & 5.6 & 6.3 & 6.4 & 6.7 & 7.4 & 7.6 & 7.7 & 8.2 & 8.3 & 8.8 & 9 & 9.2 & 9.3 & 9.6 & 9.9 & 10 & 10.1 & 10.3 & 10.4 & 10.5 & 10.8 & 10.9 & 11.1 & 11.3 & 11.4 & 11.5 & 11.6 & 11.7 & 11.8 & 11.9 & 12 & 12.1 & 12.3 & 12.5 & 12.6 & 12.7 & 12.8 & 12.9 & 13 & 13.2 & 13.3 & 13.8 & 14.3 & 14.5 & 14.8 & 16.1 \tabularnewline
0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 \tabularnewline
1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 2 & 2 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 2 & 1 & 1 & 1 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264002&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]gender  x  TOT[/C][/ROW]
[ROW][C] [/C][C]4.3[/C][C]5.6[/C][C]6.3[/C][C]6.4[/C][C]6.7[/C][C]7.4[/C][C]7.6[/C][C]7.7[/C][C]8.2[/C][C]8.3[/C][C]8.8[/C][C]9[/C][C]9.2[/C][C]9.3[/C][C]9.6[/C][C]9.9[/C][C]10[/C][C]10.1[/C][C]10.3[/C][C]10.4[/C][C]10.5[/C][C]10.8[/C][C]10.9[/C][C]11.1[/C][C]11.3[/C][C]11.4[/C][C]11.5[/C][C]11.6[/C][C]11.7[/C][C]11.8[/C][C]11.9[/C][C]12[/C][C]12.1[/C][C]12.3[/C][C]12.5[/C][C]12.6[/C][C]12.7[/C][C]12.8[/C][C]12.9[/C][C]13[/C][C]13.2[/C][C]13.3[/C][C]13.8[/C][C]14.3[/C][C]14.5[/C][C]14.8[/C][C]16.1[/C][/ROW]
[C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][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]0[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264002&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264002&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 TOT
4.35.66.36.46.77.47.67.78.28.38.899.29.39.69.91010.110.310.410.510.810.911.111.311.411.511.611.711.811.91212.112.312.512.612.712.812.91313.213.313.814.314.514.816.1
000110010011111001011111021101101011101111000010
111011101100101110100022101011010110210010211101






Tabulation of Expected Results
gender x TOT
4.35.66.36.46.77.47.67.78.28.38.899.29.39.69.91010.110.310.410.510.810.911.111.311.411.511.611.711.811.91212.112.312.512.612.712.812.91313.213.313.814.314.514.816.1
00.470.470.470.940.470.470.470.470.470.470.470.940.470.940.470.470.470.470.470.470.471.41.40.470.940.940.470.470.940.470.470.470.470.940.471.40.470.470.470.940.470.940.470.470.470.470.47
10.530.530.531.060.530.530.530.530.530.530.531.060.531.060.530.530.530.530.530.530.531.61.60.531.061.060.530.531.060.530.530.530.531.060.531.60.530.530.531.060.531.060.530.530.530.530.53

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
gender  x  TOT \tabularnewline
  & 4.3 & 5.6 & 6.3 & 6.4 & 6.7 & 7.4 & 7.6 & 7.7 & 8.2 & 8.3 & 8.8 & 9 & 9.2 & 9.3 & 9.6 & 9.9 & 10 & 10.1 & 10.3 & 10.4 & 10.5 & 10.8 & 10.9 & 11.1 & 11.3 & 11.4 & 11.5 & 11.6 & 11.7 & 11.8 & 11.9 & 12 & 12.1 & 12.3 & 12.5 & 12.6 & 12.7 & 12.8 & 12.9 & 13 & 13.2 & 13.3 & 13.8 & 14.3 & 14.5 & 14.8 & 16.1 \tabularnewline
0 & 0.47 & 0.47 & 0.47 & 0.94 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 & 0.94 & 0.47 & 0.94 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 & 1.4 & 1.4 & 0.47 & 0.94 & 0.94 & 0.47 & 0.47 & 0.94 & 0.47 & 0.47 & 0.47 & 0.47 & 0.94 & 0.47 & 1.4 & 0.47 & 0.47 & 0.47 & 0.94 & 0.47 & 0.94 & 0.47 & 0.47 & 0.47 & 0.47 & 0.47 \tabularnewline
1 & 0.53 & 0.53 & 0.53 & 1.06 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 & 1.06 & 0.53 & 1.06 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 & 1.6 & 1.6 & 0.53 & 1.06 & 1.06 & 0.53 & 0.53 & 1.06 & 0.53 & 0.53 & 0.53 & 0.53 & 1.06 & 0.53 & 1.6 & 0.53 & 0.53 & 0.53 & 1.06 & 0.53 & 1.06 & 0.53 & 0.53 & 0.53 & 0.53 & 0.53 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264002&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]gender  x  TOT[/C][/ROW]
[ROW][C] [/C][C]4.3[/C][C]5.6[/C][C]6.3[/C][C]6.4[/C][C]6.7[/C][C]7.4[/C][C]7.6[/C][C]7.7[/C][C]8.2[/C][C]8.3[/C][C]8.8[/C][C]9[/C][C]9.2[/C][C]9.3[/C][C]9.6[/C][C]9.9[/C][C]10[/C][C]10.1[/C][C]10.3[/C][C]10.4[/C][C]10.5[/C][C]10.8[/C][C]10.9[/C][C]11.1[/C][C]11.3[/C][C]11.4[/C][C]11.5[/C][C]11.6[/C][C]11.7[/C][C]11.8[/C][C]11.9[/C][C]12[/C][C]12.1[/C][C]12.3[/C][C]12.5[/C][C]12.6[/C][C]12.7[/C][C]12.8[/C][C]12.9[/C][C]13[/C][C]13.2[/C][C]13.3[/C][C]13.8[/C][C]14.3[/C][C]14.5[/C][C]14.8[/C][C]16.1[/C][/ROW]
[C]0[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]1.4[/C][C]1.4[/C][C]0.47[/C][C]0.94[/C][C]0.94[/C][C]0.47[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]1.4[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]0.94[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][C]0.47[/C][/ROW]
[C]1[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]1.6[/C][C]1.6[/C][C]0.53[/C][C]1.06[/C][C]1.06[/C][C]0.53[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]1.6[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]1.06[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][C]0.53[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264002&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264002&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 TOT
4.35.66.36.46.77.47.67.78.28.38.899.29.39.69.91010.110.310.410.510.810.911.111.311.411.511.611.711.811.91212.112.312.512.612.712.812.91313.213.313.814.314.514.816.1
00.470.470.470.940.470.470.470.470.470.470.470.940.470.940.470.470.470.470.470.470.471.41.40.470.940.940.470.470.940.470.470.470.470.940.471.40.470.470.470.940.470.940.470.470.470.470.47
10.530.530.531.060.530.530.530.530.530.530.531.060.531.060.530.530.530.530.530.530.531.61.60.531.061.060.530.531.060.530.530.530.531.060.531.60.530.530.531.060.531.060.530.530.530.530.53






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic39.91
Degrees of Freedom46
P value0.72

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 39.91 \tabularnewline
Degrees of Freedom & 46 \tabularnewline
P value & 0.72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264002&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]39.91[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]46[/C][/ROW]
[ROW][C]P value[/C][C]0.72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264002&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264002&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 Statistic39.91
Degrees of Freedom46
P value0.72


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):
par3 <- 'Pearson Chi-Squared'
par2 <- '5'
par1 <- '4'
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')