https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 The Aggregate Association Index applied to stratified 2 x 2 tables: Application to the 1893 election data in New Zealand https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41437 Wed 13 Mar 2024 18:29:09 AEDT ]]> The aggregate association index and its application in the 1893 New Zealand election https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:15369 Wed 11 Apr 2018 16:04:04 AEST ]]> The odds ratio and aggregate data: the 2x2 contingency table https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:15308 Wed 11 Apr 2018 14:56:48 AEST ]]> The aggregate association index and its links with common measurements of association in a 2x2 table: an analysis of early NZ gendered voting data https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:15390 Wed 11 Apr 2018 11:35:59 AEST ]]> On issues concerning the assessment of information contained in aggregate data using the F-statistics https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:15372 Wed 11 Apr 2018 10:19:10 AEST ]]> The Aggregate Association Index applied to stratified 2 x 2 tables: application to the 1893 election data in New Zealand https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:34711 Tue 03 Sep 2019 18:16:58 AEST ]]> On the quantification of statistical significance of the extent of association projected on the margins of 2x2 tables when only the aggregate data is available: a pseudo p-value approach applied to leukaemia relapse data https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:22979 aggregate association index (or the AAI), developed by Beh (2008 and 2010) which enumerates the overall extent of association about individuals that may exist at the aggregate level when individual level data is not available. The applicability of the technique is demonstrated by using leukaemia relapse data of Cave et al. (1998). This data is presented in the form of a contingency table that cross-classifies the follow up status of leukaemia relapse by whether cancer traces were found (or not) on the basis of polymerase child reaction (PCR) – a modern method used to detect cancerous cells in the body assumed superior than conventional for that period, microscopic identification. Assuming that the joint cell frequencies of this table are not available, and that the only available information is contained in the aggregate data, we first quantify the extent of association that exists between both variables by calculating the AAI. This index shows that the likelihood of association is high. As the AAI has been developed by exploiting Pearson’s chi-squared statistics, the AAI inherently suffers from the well-known large sample size effect that can overshadow the true nature of the association shown in the aggregate data of a given table. However, in this paper we show that the impact of sample size can be isolated by generating a pseudo population of 2x2 tables under the given sample size. Therefore, the focus of this paper is to present an approach to help answer the question “is this high AAI value statistically significant or not?” by using aggregate data only. The answer to this question lies we believe, in the calculation of the p-value of the nominated index. We shall present a new method of numerically quantifying the p-value of the AAI thereby gaining new insights into the statistical significance of the association between two dichotomous variables when only aggregate level information is available. The pseudo p-value approach suggested in this paper enhances the applicability of the AAI and thus can be considered a valuable addition to the literature of aggregate data analysis.]]> Sat 24 Mar 2018 07:11:37 AEDT ]]> Clustering of stratified aggregated data using the aggregate association index: analysis of New Zealand voter turnout (1893-1919) https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:18048 Mon 22 Jun 2015 10:23:56 AEST ]]>