For math skills, tests for counting, numbers and shapes, relative sizes, number sequence and ordinality
, adding and subtraction, and multiplication and dividing were done.
Regardless of attainment simulation method, ordinality
had the largest apparent impact, with roughly a factor of 2-3 separating results between the first highest and fourth highest 8-hr maximum.
I analyzed these responses with contingency tables using the Cochran-Mantel-Haenszel Chi-square statistic to account for the ordinality
of the dependent variable and because it is effective when some cell counts are zero (Hosmer and Lemeshow 1989; Agresti 1996).
Collections of buttons, beads, balls, boxes, or anything else of different colors and sizes permit them to refine and practice the fundamental concepts of ordinality
(the principle specifying the "more than" and "'less than" relationships between quantities) and cardinality (the principle that the last number in a counting sequence indicates the quantity of items in the set) while simultaneously having lots of fun.
Notwithstanding the dangers inherent in the presumption of strict conceptual ordinality
in the 13-way categorization, it remains true that, under ideal conditions, each category isolates a unique set of features in the individual response.
The extension from cardinality to ordinality
is clearly illustrated in existentials that combine the cardinal and the enumerative aspect, as in
Relaxing the requirement of ordinality
is unlikely to help us reconstruct a viable account of will formation for two reasons.
This preserves the ordinality
of the original responses but makes the new response values comparable.
Order analysis is a mathematical tool that allows us to identify statistically significant connections between states or variables with assumed ordinality
(that is, position in a series or order), and to determine the relative "ordinal distance" between pairs of states or variables so identified.
The ordered probit model avoids arbitrary assumptions about scale, explicitly recognizes the ordinality
of categorical dependent variables, and generates consistent estimates under fairly general conditions (Amemiya 1981).
The basic ADLs have similarly been shown to exhibit Guttman properties of ordinality
(Katz and Stroud, 1989).
He also provides a clever interpretation of Aristotle's theory of cardinality and ordinality