The Assignment of Scores Procedure for Ordinal Categorical Data

Table 2

Alternative scoring systems for ordinal categories with exact one-sided values.

	Alcohol consumption (average # drinks/day)
	0	<1	1-2	3–5	6
Midpoints	0	0.5	1.5	4.0	7.0
Standardized	−0.9	−0.72	−0.38	−0.48	1.52
	value = 0.0104()
Equally spaced	1.0	2.0	3.0	4.0	5.0
Standardized	−1.26	−0.63	0.00	0.63	1.26
	value = 0.1764
Midranks	8557.5	24365.5	32013.0	32473.0	32555.5
Standardized	−1.69	−0.16	0.58	0.63	0.63
	value = 0.2860
Ridit score	0.262694	0.747989	0.982762	0.996884	0.999417
Standardized	−1.68566	−0.15734	0.582024	0.626497	0.634473
	value = 0.5533
Normal score	−0.63502	0.668423	2.116563	2.739277	3.253699
Standardized	−0.64932	0.58412	1.660698	2.141198	2.550635
	value = 0.113793
Exponential score	0.304753	1.378283	4.060658	5.771211	7.446831
Standardized	−1.17343	−0.81223	0.090276	0.665807	1.229585
	value = 0.018572()
Logistic score	−1.03201	1.087917	4.04327	5.76809	7.446247
Standardized	−1.30621	−0.69014	0.168719	0.669972	1.157663
	value = 0.068113
Lognormal score	0.529903	1.950675	8.285174	15.41468	25.71126
Standardized	−0.94672	−0.81014	−0.20121	0.484139	1.473942
	value = 0.002318(

Significant at 5%.