Certainly there are no sustained arguments on behalf of strict ordinality
(or, as indicated above, for monism or soft pluralism).
When collecting observations, an ordinality
emerges alongside the cardinality which gives that structure an irrevocable epistemological privilege.
Furthermore, the distinction between cardinality and ordinality
has been relatively unimportant in previous empirical studies (Kristoffersen 2010).
The distributions of variant analysis scores between laboratories were well correlated in terms of monotonic ordinality
for both the manual and automated analyses (i.e., ifthe variants were placed in order of their analysis score within each laboratory, they would, in general, appear in the same order [ P < 0.0001 in each case, Spearman rank correlation; null hypothesis (H0): Lab x [not equal to] Lab y].
This is because Rasch analysis does extremely well at "constructing linearity out of ordinality
and at aiding the identification of the core construct inside a fog of collinearity" (Schumacker and Linacre 1996, p.470).
This is the transition that is needed for a child to deal with such concepts as the number line and ordinality
, which are among the earliest understandings of numeracy presented in kindergarten and early elementary school, and nearly all 5-year-olds have made it (Malabonga et al., 1994).
To identify factors that represented relationships among these items (1-9 above), we performed factor analyses that assumed ordinality
of the data (Agresti, 1990).
It is commonly believed that for students to understand a number concept they need to understand two basic properties of numbers: cardinality and ordinality
Part Three of Being and Event consists in the main of a lengthy elaboration of number theory, an elaboration which demonstrates in detail the internal structure of situations in terms of the relation of ordinality
, which for Badiou is another name for natural situations.
To test hypotheses Hypothesis 1, Hypothesis 2 and Hypothesis 3, we employed a technique described in Agresti (1990) to extend log linear logit modeling to account for ordinality
of the predictors.
(d) Analyses used Spearman correlation due to the ordinality
of the criterion measure.