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Title produced by software

Chi-Square Test

Date of computation

Thu, 11 Dec 2014 16:12:09 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/11/t1418314341m6hiflvlrnroy4h.htm/, Retrieved Wed, 11 Feb 2026 03:59:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266156, Retrieved Wed, 11 Feb 2026 03:59:13 +0000

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User-defined keywords

Estimated Impact

337

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Chi-Square Test] [Chi squared bullying] [2014-12-11 16:06:19] [762a2d905820aa1f36f0981abee5ddfb]
- RM      [Chi-Square Test] [Chi squared bullying] [2014-12-11 16:12:09] [1cd3fef72fbc4b75ce89cdbef9d067bc] [Current]

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Histogram

Boxplots

'g'	'Many'	'Often'	'Both'	'Outside'	'Same'	'Boys'	'Usually'	'Usually'	'Yes'	'Yes'	'Rarely'
'g'	'Few'	'Not_bul'	'Physical'	'Outside'	'Same'	'Boys'	'Usually'	'Rarely'	'Yes'	'No'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Outside'	'Same'	'Girls'	'Dont_know'	'Dont_know'	'Yes'	'No'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Not_bul'	'Differnt'	'Boys'	'Dont_know'	'Rarely'	'No'	'Yes'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Physical'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Physical'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Dont_know'	'No'	'No'	'Dont_bul'
'b'	'One'	'Not_bul'	'Not_bul'	'Not_bul'	'Same'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Rarely'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'One'	'Rarely'	'Mental'	'Inside'	'Same'	'Boys'	'Dont_know'	'Rarely'	'No'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Few'	'Often'	'Mental'	'Outside'	'Both'	'Boys'	'Rarely'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Many'	'Often'	'Mental'	'Outside'	'Same'	'Both'	'Usually'	'Sometimes'	'No'	'Yes'	'Dont_bul'
'b'	'One'	'Often'	'Both'	'Outside'	'Differnt'	'Boys'	'Rarely'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Mental'	'Not_bul'	'Differnt'	'Boys'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Both'	'Both'	'Both'	'Boys'	'Rarely'	'Usually'	'Yes'	'Yes'	'Rarely'
'b'	'Many'	'Not_bul'	'Mental'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Usually'	'No'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Yes'	'Yes'	'Dont_bul'
'b'	'Few'	'Rarely'	'Not_bul'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Dont_know'	'No'	'No'	'Dont_bul'
'b'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Not_bul'	'Not_bul'	'Inside'	'Same'	'Boys'	'Rarely'	'Dont_know'	'No'	'Yes'	'Dont_bul'
'g'	'Few'	'Often'	'Mental'	'Outside'	'Differnt'	'Girls'	'Dont_know'	'Dont_know'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Often'	'Both'	'Outside'	'Differnt'	'Boys'	'Usually'	'Rarely'	'No'	'Yes'	'Rarely'
'b'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Boys'	'Dont_know'	'Usually'	'Yes'	'No'	'Dont_bul'
'b'	'Few'	'Rarely'	'Both'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Dont_know'	'Yes'	'Yes'	'Dont_bul'
'b'	'Many'	'Often'	'Both'	'Outside'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Both'	'Both'	'Same'	'Both'	'Usually'	'Usually'	'Yes'	'Yes'	'Often'
'g'	'One'	'Often'	'Mental'	'Outside'	'Differnt'	'Both'	'Sometimes'	'Usually'	'No'	'Yes'	'Dont_bul'
'b'	'Many'	'Often'	'Both'	'Both'	'Differnt'	'Both'	'Usually'	'Rarely'	'Yes'	'Yes'	'Dont_bul'
'g'	'Many'	'Rarely'	'Physical'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Dont_know'	'No'	'No'	'Dont_bul'
'b'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Inside'	'Differnt'	'Boys'	'Sometimes'	'Sometimes'	'No'	'Yes'	'Dont_bul'
'g'	'Many'	'Often'	'Mental'	'Inside'	'Differnt'	'Both'	'Dont_know'	'Usually'	'Yes'	'Yes'	'Often'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'None'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Rarely'	'Both'	'Not_bul'	'Same'	'Girls'	'Rarely'	'Rarely'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Rarely'
'b'	'Few'	'Rarely'	'Physical'	'Outside'	'Differnt'	'Boys'	'Rarely'	'Sometimes'	'Yes'	'No'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Often'	'Mental'	'Outside'	'Differnt'	'Girls'	'Usually'	'Rarely'	'No'	'Yes'	'Dont_bul'
'g'	'Many'	'Often'	'Both'	'Outside'	'Differnt'	'Both'	'Dont_know'	'Sometimes'	'Yes'	'Yes'	'Rarely'
'b'	'Few'	'Rarely'	'Physical'	'Outside'	'Differnt'	'Boys'	'Usually'	'Dont_know'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Both'	'Both'	'Boys'	'Sometimes'	'Sometimes'	'No'	'No'	'Rarely'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Rarely'	'Not_bul'	'Not_bul'	'Rarely'
'b'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Outside'	'Same'	'Girls'	'Sometimes'	'Usually'	'No'	'Yes'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Often'	'Not_bul'	'Outside'	'Same'	'Boys'	'Usually'	'Sometimes'	'Yes'	'Yes'	'Dont_bul'
'g'	'Many'	'Often'	'Mental'	'Both'	'Both'	'Girls'	'Usually'	'Usually'	'No'	'Yes'	'Often'
'g'	'Many'	'Rarely'	'Mental'	'Outside'	'Same'	'Girls'	'Dont_know'	'Rarely'	'Yes'	'Yes'	'Often'
'b'	'Many'	'Often'	'Both'	'Both'	'Differnt'	'Boys'	'Sometimes'	'Sometimes'	'No'	'Yes'	'Dont_bul'
'b'	'Many'	'Rarely'	'Both'	'Outside'	'Differnt'	'Boys'	'Sometimes'	'Dont_know'	'No'	'Yes'	'Rarely'
'g'	'None'	'Rarely'	'Not_bul'	'Outside'	'Not_bul'	'Girls'	'Dont_know'	'Dont_know'	'Yes'	'No'	'Dont_bul'
'b'	'One'	'Rarely'	'Mental'	'Outside'	'Same'	'Boys'	'Dont_know'	'Dont_know'	'Yes'	'No'	'Rarely'
'g'	'Few'	'Rarely'	'Mental'	'Outside'	'Same'	'Girls'	'Dont_know'	'Rarely'	'Yes'	'Yes'	'Often'
'b'	'Few'	'Often'	'Mental'	'Outside'	'Same'	'Boys'	'Usually'	'Dont_know'	'No'	'Yes'	'Rarely'
'b'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Not_bul'	'Rarely'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Physical'	'Inside'	'Same'	'Boys'	'Rarely'	'Sometimes'	'No'	'Yes'	'Often'
'g'	'Few'	'Rarely'	'Mental'	'Outside'	'Same'	'Girls'	'Rarely'	'Rarely'	'No'	'Yes'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Rarely'	'Both'	'Both'	'Both'	'Both'	'Usually'	'Usually'	'Yes'	'Yes'	'Rarely'
'g'	'Many'	'Rarely'	'Mental'	'Both'	'Both'	'Both'	'Sometimes'	'Sometimes'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Mental'	'Outside'	'Same'	'Boys'	'Sometimes'	'Sometimes'	'No'	'No'	'Rarely'
'b'	'Many'	'Rarely'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Rarely'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Outside'	'Same'	'Boys'	'Usually'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'One'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Outside'	'Same'	'Both'	'Dont_know'	'Sometimes'	'No'	'No'	'Rarely'
'g'	'Few'	'Not_bul'	'Mental'	'Both'	'Same'	'Both'	'Sometimes'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Often'	'Physical'	'Outside'	'Differnt'	'Both'	'Dont_know'	'Dont_know'	'Yes'	'Yes'	'Dont_bul'
'b'	'Few'	'Often'	'Not_bul'	'Outside'	'Same'	'Boys'	'Usually'	'Dont_know'	'No'	'No'	'Rarely'
'b'	'Few'	'Often'	'Physical'	'Not_bul'	'Differnt'	'Boys'	'Rarely'	'Rarely'	'Yes'	'No'	'Rarely'
'g'	'Many'	'Not_bul'	'Mental'	'Inside'	'Same'	'Not_bul'	'Sometimes'	'Sometimes'	'Yes'	'No'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Inside'	'Differnt'	'Boys'	'Dont_know'	'Sometimes'	'No'	'Yes'	'Rarely'
'b'	'Many'	'Rarely'	'Mental'	'Both'	'Both'	'Boys'	'Dont_know'	'Dont_know'	'Yes'	'Yes'	'Rarely'
'g'	'Few'	'Often'	'Mental'	'Both'	'Same'	'Girls'	'Rarely'	'Dont_know'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Often'	'Mental'	'Both'	'Same'	'Girls'	'Sometimes'	'Dont_know'	'Yes'	'Yes'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Often'	'Mental'	'Outside'	'Not_bul'	'Both'	'Usually'	'Rarely'	'No'	'Yes'	'Dont_bul'
'g'	'One'	'Often'	'Both'	'Both'	'Both'	'Girls'	'Sometimes'	'Sometimes'	'Yes'	'Yes'	'Dont_bul'
'g'	'Many'	'Often'	'Mental'	'Outside'	'Same'	'Girls'	'Dont_know'	'Sometimes'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Both'	'Same'	'Girls'	'Sometimes'	'Sometimes'	'Yes'	'Yes'	'Dont_bul'
'g'	'Many'	'Often'	'Mental'	'Both'	'Both'	'Boys'	'Dont_know'	'Dont_know'	'Yes'	'No'	'Dont_bul'
'b'	'Few'	'Rarely'	'Mental'	'Both'	'Both'	'Boys'	'Sometimes'	'Sometimes'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Physical'	'Both'	'Differnt'	'Boys'	'Sometimes'	'Sometimes'	'Not_bul'	'No'	'Dont_bul'
'g'	'Many'	'Often'	'Both'	'Inside'	'Same'	'Girls'	'Dont_know'	'Sometimes'	'Yes'	'Yes'	'Often'
'g'	'Many'	'Rarely'	'Physical'	'Outside'	'Same'	'Boys'	'Sometimes'	'Sometimes'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Often'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Few'	'Often'	'Both'	'Outside'	'Both'	'Boys'	'Sometimes'	'Rarely'	'Yes'	'No'	'Dont_bul'
'b'	'Many'	'Often'	'Not_bul'	'Outside'	'Both'	'Boys'	'Sometimes'	'Sometimes'	'No'	'No'	'Often'
'b'	'Few'	'Rarely'	'Physical'	'Outside'	'Same'	'Boys'	'Rarely'	'Rarely'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Both'	'Outside'	'Differnt'	'Boys'	'Sometimes'	'Rarely'	'No'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Often'	'Both'	'Both'	'Both'	'Boys'	'Dont_know'	'Sometimes'	'No'	'Yes'	'Dont_bul'
'b'	'Many'	'Rarely'	'Both'	'Outside'	'Both'	'Boys'	'Dont_know'	'Sometimes'	'No'	'Yes'	'Rarely'
'b'	'Many'	'Often'	'Physical'	'Outside'	'Same'	'Boys'	'Rarely'	'Rarely'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Rarely'	'Mental'	'Inside'	'Same'	'Girls'	'Dont_know'	'Sometimes'	'No'	'No'	'Rarely'
'g'	'One'	'Often'	'Mental'	'Both'	'Same'	'Girls'	'Dont_know'	'Rarely'	'No'	'Yes'	'Rarely'
'g'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Rarely'
'b'	'Many'	'Rarely'	'Mental'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Rarely'	'Mental'	'Outside'	'Same'	'Boys'	'Rarely'	'Rarely'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Mental'	'Both'	'Both'	'Boys'	'Rarely'	'Sometimes'	'Yes'	'No'	'Often'
'g'	'Many'	'Rarely'	'Physical'	'Outside'	'Differnt'	'Boys'	'Sometimes'	'Dont_know'	'Yes'	'Yes'	'Dont_bul'
'g'	'Many'	'Rarely'	'Both'	'Outside'	'Both'	'Boys'	'Sometimes'	'Dont_know'	'No'	'Yes'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Rarely'	'Usually'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Often'
'g'	'Many'	'Often'	'Mental'	'Outside'	'Same'	'Girls'	'Rarely'	'Sometimes'	'No'	'No'	'Rarely'
'b'	'Many'	'Rarely'	'Physical'	'Outside'	'Same'	'Boys'	'Sometimes'	'Dont_know'	'Yes'	'Yes'	'Dont_bul'
'b'	'Many'	'Rarely'	'Mental'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Rarely'	'No'	'No'	'Rarely'
'g'	'Few'	'Often'	'Mental'	'Outside'	'Both'	'Both'	'Usually'	'Dont_know'	'Yes'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Both'	'Outside'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Rarely'
'g'	'Few'	'Often'	'Mental'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Dont_know'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Rarely'	'Mental'	'Outside'	'Both'	'Boys'	'Dont_know'	'Usually'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Rarely'	'Mental'	'Both'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Often'	'Mental'	'Outside'	'Same'	'Girls'	'Dont_know'	'Sometimes'	'No'	'Yes'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'One'	'Rarely'	'Mental'	'Outside'	'Same'	'Girls'	'Dont_know'	'Rarely'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Both'	'Outside'	'Same'	'Boys'	'Usually'	'Sometimes'	'No'	'Yes'	'Dont_bul'
'g'	'Few'	'Often'	'Both'	'Outside'	'Same'	'Boys'	'Sometimes'	'Sometimes'	'No'	'Yes'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Usually'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Few'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Both'	'Outside'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Outside'	'Both'	'Boys'	'Sometimes'	'Sometimes'	'No'	'No'	'Rarely'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Mental'	'Outside'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Rarely'
'g'	'None'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Outside'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Rarely'
'b'	'Many'	'Rarely'	'Physical'	'Outside'	'Same'	'Boys'	'Rarely'	'Sometimes'	'No'	'No'	'Dont_bul'
'b'	'Few'	'Rarely'	'Mental'	'Outside'	'Same'	'Boys'	'Usually'	'Rarely'	'Yes'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Outside'	'Differnt'	'Boys'	'Sometimes'	'Rarely'	'No'	'No'	'Rarely'
'g'	'Many'	'Often'	'Both'	'Both'	'Both'	'Boys'	'Sometimes'	'Dont_know'	'No'	'No'	'Rarely'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Sometimes'	'Not_bul'	'Not_bul'	'Often'
'g'	'One'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Usually'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Often'	'Mental'	'Not_bul'	'Not_bul'	'Both'	'Sometimes'	'Sometimes'	'Yes'	'Yes'	'Dont_bul'
'b'	'Many'	'Rarely'	'Physical'	'Outside'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'Yes'	'Yes'	'Dont_bul'
'b'	'Many'	'Often'	'Mental'	'Inside'	'Not_bul'	'Both'	'Sometimes'	'Sometimes'	'No'	'Yes'	'Often'
'g'	'Many'	'Rarely'	'Mental'	'Inside'	'Same'	'Boys'	'Dont_know'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Few'	'Often'	'Not_bul'	'Outside'	'Same'	'Both'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Rarely'	'Physical'	'Outside'	'Differnt'	'Boys'	'Sometimes'	'Sometimes'	'Yes'	'Yes'	'Rarely'
'g'	'Many'	'Rarely'	'Both'	'Both'	'Both'	'Both'	'Sometimes'	'Sometimes'	'No'	'No'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Rarely'	'Mental'	'Outside'	'Differnt'	'Boys'	'Rarely'	'Sometimes'	'No'	'No'	'Dont_bul'
'b'	'Few'	'Rarely'	'Mental'	'Outside'	'Differnt'	'Boys'	'Dont_know'	'Dont_know'	'No'	'Yes'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Not_bul'	'Sometimes'	'Sometimes'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Few'	'Rarely'	'Physical'	'Not_bul'	'Differnt'	'Boys'	'Usually'	'Sometimes'	'No'	'No'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Mental'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Rarely'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Often'	'Both'	'Both'	'Same'	'Both'	'Dont_know'	'Sometimes'	'No'	'Yes'	'Often'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Usually'	'Not_bul'	'Not_bul'	'Dont_bul'
'g'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Usually'	'Dont_know'	'Not_bul'	'Not_bul'	'Dont_bul'
'b'	'Many'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Not_bul'	'Dont_know'	'Usually'	'Not_bul'	'Not_bul'	'Dont_bul'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266156&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266156&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266156&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	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
gender x friends
	Few	Many	None	One
b	19	65	0	4
g	26	70	3	6

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
gender  x  friends \tabularnewline
  & Few & Many & None & One \tabularnewline
b & 19 & 65 & 0 & 4 \tabularnewline
g & 26 & 70 & 3 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266156&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]gender  x  friends[/C][/ROW]
[ROW][C] [/C][C]Few[/C][C]Many[/C][C]None[/C][C]One[/C][/ROW]
[C]b[/C][C]19[/C][C]65[/C][C]0[/C][C]4[/C][/ROW]
[C]g[/C][C]26[/C][C]70[/C][C]3[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266156&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266156&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
gender x friends
	Few	Many	None	One
b	19	65	0	4
g	26	70	3	6

Tabulation of Expected Results
gender x friends
	Few	Many	None	One
b	20.52	61.55	1.37	4.56
g	24.48	73.45	1.63	5.44

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
gender  x  friends \tabularnewline
  & Few & Many & None & One \tabularnewline
b & 20.52 & 61.55 & 1.37 & 4.56 \tabularnewline
g & 24.48 & 73.45 & 1.63 & 5.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266156&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]gender  x  friends[/C][/ROW]
[ROW][C] [/C][C]Few[/C][C]Many[/C][C]None[/C][C]One[/C][/ROW]
[C]b[/C][C]20.52[/C][C]61.55[/C][C]1.37[/C][C]4.56[/C][/ROW]
[C]g[/C][C]24.48[/C][C]73.45[/C][C]1.63[/C][C]5.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266156&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266156&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
gender x friends
	Few	Many	None	One
b	20.52	61.55	1.37	4.56
g	24.48	73.45	1.63	5.44

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	3.2
Degrees of Freedom	3
P value	0.36

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 3.2 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
P value & 0.36 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266156&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]3.2[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]P value[/C][C]0.36[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266156&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266156&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
Chi Square Statistic	3.2
Degrees of Freedom	3
P value	0.36

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Square ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Square ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

R code (references can be found in the software module):

cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi Square 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])
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) )
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)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$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