Chi-squared check on Irish Sort III Evaluation
This knowledge is summarised in Tables 7 and eight of the paper.


Thus, amongst males with Dalcassian surnames, 57 had the IT3 signature and 214 didn’t. Equally, amongst males with non-Dalcassian surnames, 37 had the IT3 signature and 334 didn’t.
The contingency desk beneath gives the next data: the noticed cell totals, (the anticipated cell totals) and [the chi-square statistic for each cell].
The chi-square statistic, p-value and assertion of significance seem beneath the desk. Blue means you are coping with dependent variables; pink, impartial.
57 (39.68) [7.56]
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214 (231.32) [1.3]
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37 (54.32) [5.52]
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334 (316.68) [0.95]
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The chi-square statistic is 15.3283. The p-value is .00009. This result’s vital at p < .01.
The chi-square statistic with Yates correction is 14.4561. The p-value is .000143. Important at p < .01. (There’s in all probability a consensus now that the correction is over-cautious in its want to keep away from a kind 1 error, however the statistic is there if you wish to use it).
If we analyse solely these Dalcassian surnames in daring in Desk 7, we get the next outcomes:
51 (22.04) [38.03]
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73 (101.96) [8.22]
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37 (65.96) [12.71]
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334 (305.04) [2.75]
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The chi-square statistic is 61.7173. The p-value is . This result’s vital at p < .01.
The chi-square statistic with Yates correction is 59.6042. The p-value is . Important at p < .01.
The Fisher precise check statistic and assertion of significance seem beneath the desk. Blue means you are coping with dependent variables; pink, impartial.
If we analyse solely these Dalcassian surnames in daring in Desk 7, we get the next outcomes:
The Fisher precise check statistic worth is < 0.00001. The result’s vital at p < .01.
Each the chi-square check and Fisher precise check verify that each one comparisons are statistically vital, with p < 0.01 for all comparisons.
Maurice Gleeson
April 2020