The effect of changing scores for multi-way tables with open-ended ordered categories

Year 2016, Volume: 45 Issue: 6, 1881 - 1890, 01.12.2016

Ayfer Ezgi Yılmaz , Tulay Saracbası

Abstract

Log-linear models are used to analyze the contingency tables. If the
variables are ordinal or interval, because the score values affect both
the model significance and parameter estimates, selection of score values
has importance. Sometimes an interval variable contains open-ended
categories as the first or last category. While the variable has openended classes, estimates of the lowermost and/or uppermost values of
distribution must be handled carefully. In that case, the unknown
values of the first and last classes can be estimated firstly, and then
the score values can be calculated. In the previous studies, the unknown boundaries were estimated by using interquartile range (IQR). In
this study, we suggested interdecile range (IDR), interpercentile range
(IPR), and mid-distance range (MDR) as alternative to IQR to detect
the effects of score values on model parameters.

Keywords

Contingency tables, Log-linear models, Interval measurement, Openended categories, Scores

References

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