FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationThu, 22 Dec 2016 20:51:10 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/22/t1482436280pjhbavu98yaemed.htm/, Retrieved Mon, 29 Apr 2024 05:55:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302657, Retrieved Mon, 29 Apr 2024 05:55:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73

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] [] [2016-12-22 19:51:10] [037fdaa34a77b5f63489b3bcd360a80c] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13	11
16	11
17	15
NA	15
NA	13
16	14
NA	13
NA	15
NA	NA
17	15
17	10
15	11
16	16
14	17
16	14
17	13
NA	10
NA	NA
NA	13
NA	17
16	18
NA	17
16	11
NA	15
NA	12
NA	15
16	15
15	12
16	19
16	13
13	15
15	13
17	10
NA	NA
13	12
17	15
NA	13
14	18
14	15
18	NA
NA	14
17	11
13	14
16	9
15	13
15	13
NA	12
15	NA
13	16
NA	15
17	16
NA	16
NA	13
11	13
14	12
13	11
NA	13
17	15
16	13
NA	14
17	13
16	15
16	14
16	14
15	13
12	11
17	14
14	17
14	15
16	15
NA	13
NA	12
NA	14
NA	11
NA	14
15	18
16	15
14	18
15	16
17	12
NA	14
10	14
NA	14
17	14
NA	13
20	12
17	13
18	NA
NA	13
17	14
14	15
NA	13
17	14
NA	17
17	15
NA	13
16	14
18	17
18	8
16	15
NA	10
NA	15
15	15
13	14
NA	15
NA	18
NA	NA
NA	19
NA	16
16	17
NA	18
NA	13
NA	10
12	14
NA	13
16	12
16	13
NA	12
16	13
14	16
15	12
14	14
NA	17
15	14
NA	12
15	14
16	17
NA	13
NA	NA
NA	14
11	11
NA	17
18	15
NA	NA
11	15
NA	16
18	17
NA	NA
15	12
19	15
17	10
NA	13
14	17
NA	17
13	16
17	15
14	16
19	16
14	15
NA	16
NA	14
16	17
16	14
15	12
12	15
NA	14
17	NA
NA	14
NA	13
18	16
15	13
18	14
15	13
NA	13
NA	15
NA	13
16	14
NA	13
16	12

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302657&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302657&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302657&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
TVDCSUM x IVHBSUM
8910111213141516171819
10000000100000
11000101010000
12000100110000
13000210212000
14000010142320
15000146211010
16010224751311
17003113461000
18100000111200
19000000011000
20000010000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
TVDCSUM  x  IVHBSUM \tabularnewline
  & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline
10 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
11 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
12 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \tabularnewline
13 & 0 & 0 & 0 & 2 & 1 & 0 & 2 & 1 & 2 & 0 & 0 & 0 \tabularnewline
14 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 4 & 2 & 3 & 2 & 0 \tabularnewline
15 & 0 & 0 & 0 & 1 & 4 & 6 & 2 & 1 & 1 & 0 & 1 & 0 \tabularnewline
16 & 0 & 1 & 0 & 2 & 2 & 4 & 7 & 5 & 1 & 3 & 1 & 1 \tabularnewline
17 & 0 & 0 & 3 & 1 & 1 & 3 & 4 & 6 & 1 & 0 & 0 & 0 \tabularnewline
18 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 2 & 0 & 0 \tabularnewline
19 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \tabularnewline
20 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302657&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]TVDCSUM  x  IVHBSUM[/C][/ROW]
[ROW][C] [/C][C]8[/C][C]9[/C][C]10[/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][/ROW]
[C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]12[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]13[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]14[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]4[/C][C]2[/C][C]3[/C][C]2[/C][C]0[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]4[/C][C]6[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]16[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]2[/C][C]4[/C][C]7[/C][C]5[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/C][/ROW]
[C]17[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][C]1[/C][C]3[/C][C]4[/C][C]6[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]18[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]19[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]20[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302657&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302657&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
TVDCSUM x IVHBSUM
8910111213141516171819
10000000100000
11000101010000
12000100110000
13000210212000
14000010142320
15000146211010
16010224751311
17003113461000
18100000111200
19000000011000
20000010000000






Tabulation of Expected Results
TVDCSUM x IVHBSUM
8910111213141516171819
100.010.010.030.080.10.140.190.210.090.080.040.01
110.030.030.090.240.30.420.580.640.270.240.120.03
120.030.030.090.240.30.420.580.640.270.240.120.03
130.080.080.240.650.811.131.541.70.730.650.320.08
140.130.130.391.051.311.842.492.761.181.050.530.13
150.160.160.481.291.622.263.073.391.451.290.650.16
160.270.270.822.182.733.825.185.732.452.181.090.27
170.190.190.581.541.922.693.654.031.731.540.770.19
180.060.060.180.480.610.851.151.270.550.480.240.06
190.020.020.060.160.20.280.380.420.180.160.080.02
200.010.010.030.080.10.140.190.210.090.080.040.01

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
TVDCSUM  x  IVHBSUM \tabularnewline
  & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline
10 & 0.01 & 0.01 & 0.03 & 0.08 & 0.1 & 0.14 & 0.19 & 0.21 & 0.09 & 0.08 & 0.04 & 0.01 \tabularnewline
11 & 0.03 & 0.03 & 0.09 & 0.24 & 0.3 & 0.42 & 0.58 & 0.64 & 0.27 & 0.24 & 0.12 & 0.03 \tabularnewline
12 & 0.03 & 0.03 & 0.09 & 0.24 & 0.3 & 0.42 & 0.58 & 0.64 & 0.27 & 0.24 & 0.12 & 0.03 \tabularnewline
13 & 0.08 & 0.08 & 0.24 & 0.65 & 0.81 & 1.13 & 1.54 & 1.7 & 0.73 & 0.65 & 0.32 & 0.08 \tabularnewline
14 & 0.13 & 0.13 & 0.39 & 1.05 & 1.31 & 1.84 & 2.49 & 2.76 & 1.18 & 1.05 & 0.53 & 0.13 \tabularnewline
15 & 0.16 & 0.16 & 0.48 & 1.29 & 1.62 & 2.26 & 3.07 & 3.39 & 1.45 & 1.29 & 0.65 & 0.16 \tabularnewline
16 & 0.27 & 0.27 & 0.82 & 2.18 & 2.73 & 3.82 & 5.18 & 5.73 & 2.45 & 2.18 & 1.09 & 0.27 \tabularnewline
17 & 0.19 & 0.19 & 0.58 & 1.54 & 1.92 & 2.69 & 3.65 & 4.03 & 1.73 & 1.54 & 0.77 & 0.19 \tabularnewline
18 & 0.06 & 0.06 & 0.18 & 0.48 & 0.61 & 0.85 & 1.15 & 1.27 & 0.55 & 0.48 & 0.24 & 0.06 \tabularnewline
19 & 0.02 & 0.02 & 0.06 & 0.16 & 0.2 & 0.28 & 0.38 & 0.42 & 0.18 & 0.16 & 0.08 & 0.02 \tabularnewline
20 & 0.01 & 0.01 & 0.03 & 0.08 & 0.1 & 0.14 & 0.19 & 0.21 & 0.09 & 0.08 & 0.04 & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302657&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]TVDCSUM  x  IVHBSUM[/C][/ROW]
[ROW][C] [/C][C]8[/C][C]9[/C][C]10[/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][/ROW]
[C]10[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.08[/C][C]0.1[/C][C]0.14[/C][C]0.19[/C][C]0.21[/C][C]0.09[/C][C]0.08[/C][C]0.04[/C][C]0.01[/C][/ROW]
[C]11[/C][C]0.03[/C][C]0.03[/C][C]0.09[/C][C]0.24[/C][C]0.3[/C][C]0.42[/C][C]0.58[/C][C]0.64[/C][C]0.27[/C][C]0.24[/C][C]0.12[/C][C]0.03[/C][/ROW]
[C]12[/C][C]0.03[/C][C]0.03[/C][C]0.09[/C][C]0.24[/C][C]0.3[/C][C]0.42[/C][C]0.58[/C][C]0.64[/C][C]0.27[/C][C]0.24[/C][C]0.12[/C][C]0.03[/C][/ROW]
[C]13[/C][C]0.08[/C][C]0.08[/C][C]0.24[/C][C]0.65[/C][C]0.81[/C][C]1.13[/C][C]1.54[/C][C]1.7[/C][C]0.73[/C][C]0.65[/C][C]0.32[/C][C]0.08[/C][/ROW]
[C]14[/C][C]0.13[/C][C]0.13[/C][C]0.39[/C][C]1.05[/C][C]1.31[/C][C]1.84[/C][C]2.49[/C][C]2.76[/C][C]1.18[/C][C]1.05[/C][C]0.53[/C][C]0.13[/C][/ROW]
[C]15[/C][C]0.16[/C][C]0.16[/C][C]0.48[/C][C]1.29[/C][C]1.62[/C][C]2.26[/C][C]3.07[/C][C]3.39[/C][C]1.45[/C][C]1.29[/C][C]0.65[/C][C]0.16[/C][/ROW]
[C]16[/C][C]0.27[/C][C]0.27[/C][C]0.82[/C][C]2.18[/C][C]2.73[/C][C]3.82[/C][C]5.18[/C][C]5.73[/C][C]2.45[/C][C]2.18[/C][C]1.09[/C][C]0.27[/C][/ROW]
[C]17[/C][C]0.19[/C][C]0.19[/C][C]0.58[/C][C]1.54[/C][C]1.92[/C][C]2.69[/C][C]3.65[/C][C]4.03[/C][C]1.73[/C][C]1.54[/C][C]0.77[/C][C]0.19[/C][/ROW]
[C]18[/C][C]0.06[/C][C]0.06[/C][C]0.18[/C][C]0.48[/C][C]0.61[/C][C]0.85[/C][C]1.15[/C][C]1.27[/C][C]0.55[/C][C]0.48[/C][C]0.24[/C][C]0.06[/C][/ROW]
[C]19[/C][C]0.02[/C][C]0.02[/C][C]0.06[/C][C]0.16[/C][C]0.2[/C][C]0.28[/C][C]0.38[/C][C]0.42[/C][C]0.18[/C][C]0.16[/C][C]0.08[/C][C]0.02[/C][/ROW]
[C]20[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.08[/C][C]0.1[/C][C]0.14[/C][C]0.19[/C][C]0.21[/C][C]0.09[/C][C]0.08[/C][C]0.04[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302657&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302657&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
TVDCSUM x IVHBSUM
8910111213141516171819
100.010.010.030.080.10.140.190.210.090.080.040.01
110.030.030.090.240.30.420.580.640.270.240.120.03
120.030.030.090.240.30.420.580.640.270.240.120.03
130.080.080.240.650.811.131.541.70.730.650.320.08
140.130.130.391.051.311.842.492.761.181.050.530.13
150.160.160.481.291.622.263.073.391.451.290.650.16
160.270.270.822.182.733.825.185.732.452.181.090.27
170.190.190.581.541.922.693.654.031.731.540.770.19
180.060.060.180.480.610.851.151.270.550.480.240.06
190.020.020.060.160.20.280.380.420.180.160.080.02
200.010.010.030.080.10.140.190.210.090.080.040.01






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic108.91
P value0.41

\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 & 108.91 \tabularnewline
P value & 0.41 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302657&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]108.91[/C][/ROW]
[ROW][C]P value[/C][C]0.41[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302657&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302657&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic108.91
P value0.41


Figures (Output of Computation)

Input Parameters & R Code

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')