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R Software Module

rwasp_chi_squared_tests.wasp

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

Date of computation

Mon, 12 Nov 2012 16:45:31 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/12/t135275676358tp65siogrlvdy.htm/, Retrieved Tue, 10 Feb 2026 07:57:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=188441, Retrieved Tue, 10 Feb 2026 07:57:14 +0000

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287

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6 V1.2] [2012-11-12 21:45:31] [6144fd9dab7e8876ce9100c6a2ac91c2] [Current]

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'A'	'A'	'D'	'A'	'B'	'B'	'D'	'D'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'A'	'C'	'A'	'B'	'A'	'C'	'A'	'A'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'D'	'B'	'A'	'A'	'D'	'A'	'C'	'C'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'D'	'C'	'C'	'D'	'D'	'B'	'C'	'C'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'B'	'A'	'C'	'A'	'A'	'A'	'B'	'B'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'B'	'D'	'D'	'C'	'A'	'B'	'A'	'A'	'HI'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'D'	'A'	'A'	'B'	'A'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'B'	'C'	'A'	'B'	'C'	'A'	'A'	'HI'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'B'	'B'	'C'	'A'	'B'	'D'	'B'	'B'	'HI'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'C'	'D'	'B'	'B'	'B'	'A'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'D'	'A'	'C'	'A'	'D'	'A'	'A'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'B'	'B'	'A'	'A'	'A'	'D'	'D'	'D'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'A'	'B'	'A'	'A'	'D'	'A'	'C'	'C'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'A'	'A'	'A'	'B'	'A'	'A'	'D'	'D'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'C'	'A'	'A'	'A'	'A'	'D'	'A'	'A'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'C'	'C'	'C'	'A'	'B'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'C'	'C'	'C'	'B'	'A'	'B'	'B'	'HI'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'A'	'A'	'A'	'C'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'A'	'B'	'B'	'D'	'D'	'C'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'C'	'C'	'A'	'A'	'A'	'B'	'D'	'D'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'C'	'C'	'A'	'B'	'A'	'D'	'C'	'C'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'D'	'D'	'A'	'A'	'D'	'A'	'C'	'B'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'A'	'A'	'A'	'A'	'B'	'B'	'D'	'D'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'A'	'A'	'A'	'B'	'D'	'A'	'D'	'D'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'A'	'C'	'A'	'D'	'A'	'C'	'A'	'A'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'A'	'C'	'A'	'A'	'D'	'D'	'A'	'A'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'B'	'B'	'A'	'C'	'A'	'C'	'B'	'C'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'
'C'	'A'	'C'	'A'	'B'	'A'	'C'	'B'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'
'C'	'C'	'A'	'A'	'B'	'A'	'A'	'B'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'B'	'C'	'C'	'C'	'D'	'B'	'C'	'B'	'HI'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'
'D'	'D'	'C'	'A'	'A'	'D'	'A'	'A'	'LO'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'D'	'C'	'D'	'D'	'C'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'A'	'D'	'C'	'C'	'A'	'D'	'C'	'C'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'	'LO'
'B'	'A'	'A'	'A'	'B'	'C'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'B'	'D'	'C'	'A'	'B'	'B'	'B'	'C'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'
'C'	'C'	'D'	'D'	'A'	'D'	'C'	'B'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'	'HI'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'B'	'C'	'C'	'A'	'B'	'B'	'C'	'C'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'D'	'D'	'A'	'C'	'A'	'D'	'B'	'B'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'B'	'C'	'A'	'C'	'C'	'D'	'C'	'C'	'HI'	'LO'	'HI'	'LO'	'LO'	'LO'	'LO'	'LO'
'A'	'C'	'A'	'C'	'B'	'D'	'B'	'B'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'B'	'C'	'C'	'A'	'A'	'A'	'B'	'B'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'A'	'C'	'A'	'A'	'A'	'D'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'B'	'C'	'C'	'C'	'D'	'A'	'D'	'D'	'HI'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'A'	'D'	'C'	'C'	'D'	'C'	'C'	'C'	'HI'	'LO'	'LO'	'LO'	'LO'	'LO'	'LO'	'LO'
'A'	'B'	'D'	'A'	'D'	'B'	'C'	'D'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'A'	'A'	'C'	'A'	'B'	'D'	'D'	'C'	'HI'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'LO'
'C'	'B'	'C'	'B'	'B'	'C'	'B'	'B'	'LO'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'B'	'A'	'A'	'B'	'A'	'A'	'B'	'C'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'A'	'C'	'C'	'A'	'C'	'C'	'B'	'B'	'HI'	'LO'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'
'C'	'A'	'A'	'A'	'A'	'D'	'C'	'B'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'
'C'	'D'	'C'	'C'	'B'	'A'	'C'	'D'	'LO'	'LO'	'LO'	'LO'	'HI'	'HI'	'LO'	'LO'
'C'	'C'	'D'	'A'	'D'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'B'	'A'	'A'	'A'	'D'	'A'	'D'	'B'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'C'	'C'	'D'	'D'	'D'	'C'	'D'	'D'	'LO'	'LO'	'LO'	'LO'	'LO'	'LO'	'LO'	'LO'
'A'	'C'	'C'	'D'	'B'	'B'	'B'	'A'	'HI'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'B'	'A'	'A'	'A'	'B'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'D'	'B'	'A'	'A'	'B'	'D'	'C'	'C'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'A'	'B'	'C'	'B'	'D'	'D'	'B'	'C'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'	'HI'	'LO'
'B'	'B'	'A'	'C'	'D'	'A'	'C'	'C'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'	'LO'	'LO'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'A'	'B'	'A'	'A'	'C'	'B'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'
'B'	'B'	'A'	'A'	'D'	'B'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'
'D'	'B'	'C'	'B'	'B'	'A'	'D'	'D'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'D'	'A'	'A'	'B'	'B'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'A'	'A'	'A'	'D'	'C'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'B'	'B'	'A'	'A'	'D'	'A'	'C'	'C'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'D'	'D'	'A'	'B'	'D'	'B'	'B'	'C'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'	'LO'
'A'	'A'	'D'	'A'	'B'	'B'	'D'	'D'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'A'	'A'	'A'	'B'	'A'	'C'	'C'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'A'	'B'	'D'	'D'	'B'	'B'	'C'	'B'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'
'D'	'A'	'C'	'B'	'A'	'A'	'D'	'D'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'A'	'A'	'A'	'B'	'B'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'A'	'A'	'B'	'D'	'C'	'D'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'B'	'D'	'A'	'A'	'C'	'C'	'A'	'A'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'A'	'D'	'A'	'D'	'D'	'A'	'A'	'A'	'HI'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'
'A'	'A'	'A'	'A'	'A'	'B'	'C'	'C'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'D'	'A'	'B'	'C'	'A'	'C'	'B'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'D'	'D'	'D'	'A'	'B'	'B'	'B'	'A'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'A'	'D'	'A'	'A'	'C'	'D'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'LO'	'LO'
'C'	'B'	'A'	'A'	'B'	'C'	'A'	'B'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'A'	'A'	'A'	'D'	'D'	'D'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'LO'
'B'	'A'	'A'	'A'	'B'	'D'	'C'	'B'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'
'A'	'C'	'C'	'A'	'A'	'B'	'B'	'C'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'
'C'	'B'	'C'	'B'	'B'	'B'	'C'	'B'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'
'C'	'D'	'A'	'C'	'B'	'B'	'B'	'A'	'LO'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'C'	'D'	'B'	'B'	'B'	'B'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'C'	'B'	'A'	'A'	'B'	'B'	'C'	'C'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'D'	'C'	'A'	'A'	'C'	'A'	'D'	'D'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'C'	'C'	'C'	'A'	'D'	'A'	'C'	'C'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'D'	'B'	'D'	'D'	'A'	'B'	'B'	'B'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'B'	'C'	'A'	'A'	'C'	'A'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'B'	'A'	'A'	'A'	'B'	'B'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'C'	'D'	'C'	'A'	'B'	'A'	'A'	'A'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'D'	'D'	'D'	'A'	'C'	'D'	'A'	'A'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'C'	'A'	'C'	'A'	'A'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'A'	'D'	'A'	'C'	'C'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'B'	'D'	'A'	'D'	'B'	'C'	'A'	'B'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'A'	'A'	'C'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'C'	'B'	'C'	'C'	'B'	'D'	'B'	'B'	'LO'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'A'	'A'	'D'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'B'	'D'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'
'B'	'A'	'A'	'A'	'A'	'B'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'C'	'D'	'C'	'B'	'D'	'C'	'C'	'C'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'	'LO'	'LO'
'C'	'A'	'A'	'B'	'B'	'A'	'A'	'A'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'A'	'C'	'D'	'A'	'D'	'A'	'C'	'C'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'A'	'B'	'A'	'A'	'A'	'C'	'B'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'A'	'A'	'B'	'A'	'C'	'C'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'B'	'A'	'B'	'D'	'A'	'D'	'D'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'A'	'A'	'D'	'D'	'D'	'A'	'D'	'D'	'HI'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'D'	'B'	'A'	'A'	'B'	'A'	'A'	'A'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'D'	'C'	'A'	'A'	'D'	'A'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'
'C'	'A'	'A'	'B'	'C'	'C'	'A'	'A'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'C'	'C'	'D'	'B'	'B'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'A'	'B'	'D'	'C'	'A'	'B'	'B'	'A'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'C'	'A'	'A'	'A'	'D'	'A'	'A'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'C'	'A'	'C'	'A'	'B'	'A'	'D'	'D'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'B'	'A'	'C'	'D'	'B'	'B'	'C'	'B'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'
'C'	'B'	'D'	'B'	'B'	'D'	'C'	'C'	'LO'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'LO'
'A'	'B'	'A'	'A'	'B'	'A'	'A'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'C'	'A'	'D'	'B'	'D'	'A'	'D'	'D'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'D'	'D'	'A'	'A'	'B'	'A'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'D'	'A'	'B'	'C'	'A'	'A'	'HI'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'A'	'A'	'B'	'D'	'B'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'C'	'D'	'C'	'A'	'B'	'C'	'B'	'B'	'LO'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'D'	'C'	'A'	'A'	'C'	'C'	'A'	'A'	'LO'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'A'	'C'	'C'	'C'	'A'	'D'	'A'	'A'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'A'	'B'	'A'	'D'	'B'	'B'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'C'	'B'	'C'	'D'	'A'	'C'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'	'HI'
'B'	'C'	'D'	'B'	'B'	'B'	'C'	'B'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'
'C'	'C'	'A'	'C'	'C'	'C'	'C'	'C'	'LO'	'LO'	'HI'	'LO'	'LO'	'LO'	'LO'	'LO'
'D'	'C'	'D'	'B'	'D'	'A'	'C'	'D'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'A'	'A'	'A'	'D'	'B'	'D'	'B'	'B'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'D'	'D'	'D'	'B'	'B'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'A'	'A'	'C'	'A'	'B'	'B'	'B'	'B'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'C'	'D'	'C'	'A'	'A'	'A'	'A'	'A'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'B'	'B'	'C'	'B'	'B'	'A'	'D'	'C'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
'D'	'B'	'D'	'C'	'D'	'A'	'D'	'D'	'LO'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'B'	'B'	'D'	'D'	'B'	'C'	'D'	'D'	'HI'	'HI'	'LO'	'LO'	'HI'	'LO'	'LO'	'LO'
'D'	'B'	'D'	'D'	'C'	'B'	'C'	'C'	'LO'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'C'	'B'	'A'	'D'	'B'	'D'	'D'	'D'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'	'LO'
'D'	'B'	'C'	'D'	'A'	'A'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'D'	'B'	'A'	'A'	'B'	'B'	'A'	'A'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'D'	'D'	'A'	'B'	'B'	'B'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'A'	'D'	'D'	'D'	'A'	'C'	'A'	'A'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'HI'
'C'	'D'	'A'	'A'	'A'	'B'	'B'	'A'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'B'	'B'	'D'	'A'	'D'	'B'	'D'	'D'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'LO'
'C'	'D'	'A'	'A'	'D'	'C'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'B'	'C'	'D'	'D'	'D'	'A'	'B'	'B'	'HI'	'LO'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'
'A'	'A'	'D'	'D'	'A'	'B'	'A'	'A'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'C'	'A'	'C'	'A'	'A'	'A'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'	'HI'
'B'	'A'	'A'	'D'	'A'	'D'	'C'	'C'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'	'LO'
'B'	'A'	'A'	'D'	'D'	'B'	'C'	'B'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'
'B'	'B'	'C'	'D'	'D'	'A'	'C'	'C'	'HI'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'C'	'D'	'D'	'D'	'C'	'A'	'A'	'A'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'
'B'	'C'	'A'	'A'	'C'	'A'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'C'	'A'	'D'	'D'	'B'	'A'	'C'	'C'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'LO'	'LO'
'C'	'B'	'C'	'D'	'A'	'C'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'	'HI'
'B'	'C'	'A'	'B'	'C'	'D'	'A'	'A'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'C'	'B'	'D'	'D'	'D'	'A'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'
'B'	'B'	'D'	'D'	'C'	'A'	'C'	'B'	'HI'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188441&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]5 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=188441&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188441&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	5 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Tabulation of Results
Happiness x Depression
	A	B	C	D
A	7	10	10	16
B	19	21	8	12
C	8	2	5	4
D	26	7	5	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness  x  Depression \tabularnewline
  & A & B & C & D \tabularnewline
A & 7 & 10 & 10 & 16 \tabularnewline
B & 19 & 21 & 8 & 12 \tabularnewline
C & 8 & 2 & 5 & 4 \tabularnewline
D & 26 & 7 & 5 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188441&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness  x  Depression[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]7[/C][C]10[/C][C]10[/C][C]16[/C][/ROW]
[C]B[/C][C]19[/C][C]21[/C][C]8[/C][C]12[/C][/ROW]
[C]C[/C][C]8[/C][C]2[/C][C]5[/C][C]4[/C][/ROW]
[C]D[/C][C]26[/C][C]7[/C][C]5[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=188441&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188441&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
Happiness x Depression
	A	B	C	D
A	7	10	10	16
B	19	21	8	12
C	8	2	5	4
D	26	7	5	2

Tabulation of Expected Results
Happiness x Depression
	A	B	C	D
A	15.93	10.62	7.43	9.02
B	22.22	14.81	10.37	12.59
C	7.04	4.69	3.28	3.99
D	14.81	9.88	6.91	8.4

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happiness  x  Depression \tabularnewline
  & A & B & C & D \tabularnewline
A & 15.93 & 10.62 & 7.43 & 9.02 \tabularnewline
B & 22.22 & 14.81 & 10.37 & 12.59 \tabularnewline
C & 7.04 & 4.69 & 3.28 & 3.99 \tabularnewline
D & 14.81 & 9.88 & 6.91 & 8.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188441&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happiness  x  Depression[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]15.93[/C][C]10.62[/C][C]7.43[/C][C]9.02[/C][/ROW]
[C]B[/C][C]22.22[/C][C]14.81[/C][C]10.37[/C][C]12.59[/C][/ROW]
[C]C[/C][C]7.04[/C][C]4.69[/C][C]3.28[/C][C]3.99[/C][/ROW]
[C]D[/C][C]14.81[/C][C]9.88[/C][C]6.91[/C][C]8.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=188441&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188441&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
Happiness x Depression
	A	B	C	D
A	15.93	10.62	7.43	9.02
B	22.22	14.81	10.37	12.59
C	7.04	4.69	3.28	3.99
D	14.81	9.88	6.91	8.4

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	32.19
P value	0

\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 & 32.19 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=188441&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]32.19[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=188441&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=188441&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 Statistic	32.19
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 5 ; par2 = 6 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 5 ; par2 = 6 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code