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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 computationFri, 12 Dec 2014 15:55:01 +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/12/t1418399720vpilaw961uzqk0c.htm/, Retrieved Thu, 31 Oct 2024 23:10:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266828, Retrieved Thu, 31 Oct 2024 23:10:25 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
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] [] [2014-12-12 15:55:01] [d3a85ea23f6d8881e8b5a834ebd3a404] [Current]
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Dataseries X:
0.5 0.67
0.5 0.83
0.4 1
0.5 0.83
0.7 0.67
0.3 0
0.4 0.83
0.4 0.5
0.7 0.83
0.6 0.33
0.6 0.5
0.2 0.67
0.4 1
0.4 0.5
0.5 0.67
0.3 0.17
0.4 0.83
0.7 0.67
0.5 0.67
0.2 0.67
0.3 0.5
0.6 1
0.6 0.83
0.2 0.83
0.7 1
0.2 0.67
1 1
0.4 0.83
0.4 1
0.2 0.83
0.4 0.67
0.4 0.67
0.7 1
0.2 0.67
0.6 1
0.3 1
0.3 0.5
0.2 0.67
0.5 0.83
0.7 1
0.6 1
0.4 1
0.6 1
0.4 1
0.3 0.83
0.5 0.83
0.2 0.5
0.3 0.83
0.5 0.17
0.7 0.83
0.4 1
0.3 1
0.2 0.67
0.5 1
0.4 1
0.6 1
0.4 0.83
0.4 0.33
0.2 0.33
0.9 1
0.8 1
0.8 0.83
0.3 1
0.2 0.83
0.4 0.67
0.2 0.83
0.2 0.67
0.1 0.83
0.4 0.67
0.5 1
0.8 0.83
0.4 0.67
0.6 0.83
0.5 0.83
0.3 0.67
0.8 1
0.4 0.33
0.6 0.83
0.4 1
0.3 0.83
0.8 0.83
0.6 0.5
0.3 0.5
0.5 0.83
0.4 1
0.3 0.33
0.7 1
0.2 0.67
0.4 0.83
0.6 1
0.6 0.83
0.6 0.83
0.4 1
0.6 0.83
0.5 1
0.5 0.83
0.6 0.67
0.8 0.83
0.5 0.83
0.6 0.83
0.4 0.83
0.3 0.67
0.3 0.83
0.2 0
0.4 0.83
0.5 1
0.3 0.17
0.4 0.17
0.5 0.5
0.3 0.5
0.5 1
0.4 0.67
0.4 0.83
0.6 1
0.3 1
0.4 1
0.3 1
1 1
0.4 1
0.8 0.83
0.3 1
0.5 0.83
0.4 1
0.3 0.83
0.5 0.83
0.3 1
0.3 0.67
0.4 0.83
0.3 1
0.6 1
0.6 0.83
0.4 1
0.4 1
0.4 1
0.3 0.67
0.2 1
0.5 0.83
0.4 1
0.4 1
0.4 0.83
0.3 0.67
0.4 0.83
0.2 1
0 0
0.4 1
0.6 1
0.4 0.67
0.4 1
0.4 0.83
0.2 0.17
0.4 0.83
0.3 0.83
0.6 0.83
0.6 0.83
0.4 0.83
0.5 1
0.4 0.83
0.6 1
0.6 0.83
0.9 1
0.4 0.83
0.8 1
0.5 0.83
0.4 0.83
0.4 1
0.7 1
0.4 1
0.8 1
0.4 1
0.3 1
0.5 1
0.8 1
0.4 0.83
1 1
0.5 1
0.5 1
0.3 1
0.3 0.83
0.3 0.5
0.4 0.67
0.5 1
0.5 0.67
0.4 1
0.7 1
0.5 0.5
0.4 0.67
0.7 0.67
0.7 0.67
0.7 0.67
0.7 0.67
0.7 0.67
0.7 1
0.1 0.67
0.2 0.67
0.3 0.33
0.6 0.83
0.8 1
0.8 1
0 0.17
0.3 0.67
0.6 0.83
0.5 0.83
0.7 1
0.3 0.83
0.3 1
0.4 1
0.4 0.83
0.1 0.83
0.5 1
0 0
0.4 1
0.6 0.83
0.4 1
0.1 0.33
0.3 0.83
0.7 0.83
0.3 0.17
0.5 0.83
0.3 0.83
0.6 0.67
0.9 1
0.4 0.83
0.3 1
0.9 1
0.5 1
0.3 1
0.6 0.83
0.2 1
0.4 0.83
0.5 0.83
0.4 0.83
0 0
0.2 1
0.5 1
0.3 1
0 0
0.5 0.83
0.6 0.83
0.3 0.83
0 0
0.3 0.67
0.5 1
0.4 0.67
0.5 0.83
0.7 1
0.8 1
0.6 1
0.4 0.83
0.5 0.83
0.5 1
0.3 1
0.6 1
0.3 0.67
0.6 0.83
0.3 0.33
0.7 1
0.7 1
0.6 0.67
0.5 1
0.5 0.83
0.4 0.67
0.4 1
0.7 1
0.2 0.17
0.5 0.83
0.4 0.83
0.2 1
0.5 0.67
0.4 0.5
0.7 0.67
0.6 0.83
0.4 0.83
0.5 1
0 0.17
0.7 1
0.4 0.67
0.5 0.67
0.6 0.83
0.8 0.5




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=266828&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=266828&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266828&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 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
Algebraic_Reasoning x Graphical_Interpretation
00.170.330.50.670.831
05200000
0.10010120
0.21211945
0.3133581115
0.40123122528
0.5010262017
0.6001231912
0.700008313
0.80001058
0.90000004
10000003

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Algebraic_Reasoning  x  Graphical_Interpretation \tabularnewline
  & 0 & 0.17 & 0.33 & 0.5 & 0.67 & 0.83 & 1 \tabularnewline
0 & 5 & 2 & 0 & 0 & 0 & 0 & 0 \tabularnewline
0.1 & 0 & 0 & 1 & 0 & 1 & 2 & 0 \tabularnewline
0.2 & 1 & 2 & 1 & 1 & 9 & 4 & 5 \tabularnewline
0.3 & 1 & 3 & 3 & 5 & 8 & 11 & 15 \tabularnewline
0.4 & 0 & 1 & 2 & 3 & 12 & 25 & 28 \tabularnewline
0.5 & 0 & 1 & 0 & 2 & 6 & 20 & 17 \tabularnewline
0.6 & 0 & 0 & 1 & 2 & 3 & 19 & 12 \tabularnewline
0.7 & 0 & 0 & 0 & 0 & 8 & 3 & 13 \tabularnewline
0.8 & 0 & 0 & 0 & 1 & 0 & 5 & 8 \tabularnewline
0.9 & 0 & 0 & 0 & 0 & 0 & 0 & 4 \tabularnewline
1 & 0 & 0 & 0 & 0 & 0 & 0 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266828&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Algebraic_Reasoning  x  Graphical_Interpretation[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.17[/C][C]0.33[/C][C]0.5[/C][C]0.67[/C][C]0.83[/C][C]1[/C][/ROW]
[C]0[/C][C]5[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]0.1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]0.2[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]9[/C][C]4[/C][C]5[/C][/ROW]
[C]0.3[/C][C]1[/C][C]3[/C][C]3[/C][C]5[/C][C]8[/C][C]11[/C][C]15[/C][/ROW]
[C]0.4[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]12[/C][C]25[/C][C]28[/C][/ROW]
[C]0.5[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]6[/C][C]20[/C][C]17[/C][/ROW]
[C]0.6[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]19[/C][C]12[/C][/ROW]
[C]0.7[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]8[/C][C]3[/C][C]13[/C][/ROW]
[C]0.8[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]5[/C][C]8[/C][/ROW]
[C]0.9[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]4[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266828&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266828&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 Graphical_Interpretation
00.170.330.50.670.831
05200000
0.10010120
0.21211945
0.3133581115
0.40123122528
0.5010262017
0.6001231912
0.700008313
0.80001058
0.90000004
10000003







Tabulation of Expected Results
Algebraic_Reasoning x Graphical_Interpretation
00.170.330.50.670.831
00.180.230.20.351.182.232.63
0.10.10.130.110.20.671.281.51
0.20.580.740.661.153.877.348.66
0.31.151.481.322.317.7514.6717.31
0.41.782.292.043.5611.9622.6526.72
0.51.151.481.322.317.7514.6717.31
0.60.931.191.061.866.2311.813.92
0.70.60.770.691.24.047.669.03
0.80.350.450.40.72.364.475.27
0.90.10.130.110.20.671.281.51
10.080.10.090.150.510.961.13

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Algebraic_Reasoning  x  Graphical_Interpretation \tabularnewline
  & 0 & 0.17 & 0.33 & 0.5 & 0.67 & 0.83 & 1 \tabularnewline
0 & 0.18 & 0.23 & 0.2 & 0.35 & 1.18 & 2.23 & 2.63 \tabularnewline
0.1 & 0.1 & 0.13 & 0.11 & 0.2 & 0.67 & 1.28 & 1.51 \tabularnewline
0.2 & 0.58 & 0.74 & 0.66 & 1.15 & 3.87 & 7.34 & 8.66 \tabularnewline
0.3 & 1.15 & 1.48 & 1.32 & 2.31 & 7.75 & 14.67 & 17.31 \tabularnewline
0.4 & 1.78 & 2.29 & 2.04 & 3.56 & 11.96 & 22.65 & 26.72 \tabularnewline
0.5 & 1.15 & 1.48 & 1.32 & 2.31 & 7.75 & 14.67 & 17.31 \tabularnewline
0.6 & 0.93 & 1.19 & 1.06 & 1.86 & 6.23 & 11.8 & 13.92 \tabularnewline
0.7 & 0.6 & 0.77 & 0.69 & 1.2 & 4.04 & 7.66 & 9.03 \tabularnewline
0.8 & 0.35 & 0.45 & 0.4 & 0.7 & 2.36 & 4.47 & 5.27 \tabularnewline
0.9 & 0.1 & 0.13 & 0.11 & 0.2 & 0.67 & 1.28 & 1.51 \tabularnewline
1 & 0.08 & 0.1 & 0.09 & 0.15 & 0.51 & 0.96 & 1.13 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266828&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Algebraic_Reasoning  x  Graphical_Interpretation[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.17[/C][C]0.33[/C][C]0.5[/C][C]0.67[/C][C]0.83[/C][C]1[/C][/ROW]
[C]0[/C][C]0.18[/C][C]0.23[/C][C]0.2[/C][C]0.35[/C][C]1.18[/C][C]2.23[/C][C]2.63[/C][/ROW]
[C]0.1[/C][C]0.1[/C][C]0.13[/C][C]0.11[/C][C]0.2[/C][C]0.67[/C][C]1.28[/C][C]1.51[/C][/ROW]
[C]0.2[/C][C]0.58[/C][C]0.74[/C][C]0.66[/C][C]1.15[/C][C]3.87[/C][C]7.34[/C][C]8.66[/C][/ROW]
[C]0.3[/C][C]1.15[/C][C]1.48[/C][C]1.32[/C][C]2.31[/C][C]7.75[/C][C]14.67[/C][C]17.31[/C][/ROW]
[C]0.4[/C][C]1.78[/C][C]2.29[/C][C]2.04[/C][C]3.56[/C][C]11.96[/C][C]22.65[/C][C]26.72[/C][/ROW]
[C]0.5[/C][C]1.15[/C][C]1.48[/C][C]1.32[/C][C]2.31[/C][C]7.75[/C][C]14.67[/C][C]17.31[/C][/ROW]
[C]0.6[/C][C]0.93[/C][C]1.19[/C][C]1.06[/C][C]1.86[/C][C]6.23[/C][C]11.8[/C][C]13.92[/C][/ROW]
[C]0.7[/C][C]0.6[/C][C]0.77[/C][C]0.69[/C][C]1.2[/C][C]4.04[/C][C]7.66[/C][C]9.03[/C][/ROW]
[C]0.8[/C][C]0.35[/C][C]0.45[/C][C]0.4[/C][C]0.7[/C][C]2.36[/C][C]4.47[/C][C]5.27[/C][/ROW]
[C]0.9[/C][C]0.1[/C][C]0.13[/C][C]0.11[/C][C]0.2[/C][C]0.67[/C][C]1.28[/C][C]1.51[/C][/ROW]
[C]1[/C][C]0.08[/C][C]0.1[/C][C]0.09[/C][C]0.15[/C][C]0.51[/C][C]0.96[/C][C]1.13[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266828&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266828&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 Graphical_Interpretation
00.170.330.50.670.831
00.180.230.20.351.182.232.63
0.10.10.130.110.20.671.281.51
0.20.580.740.661.153.877.348.66
0.31.151.481.322.317.7514.6717.31
0.41.782.292.043.5611.9622.6526.72
0.51.151.481.322.317.7514.6717.31
0.60.931.191.061.866.2311.813.92
0.70.60.770.691.24.047.669.03
0.80.350.450.40.72.364.475.27
0.90.10.130.110.20.671.281.51
10.080.10.090.150.510.961.13







Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic227.83
P value0

\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 & 227.83 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266828&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]227.83[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266828&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266828&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 Statistic227.83
P value0



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')