Table 3.

Graded Response Model IRT Parameter Estimates (Logistic Metric) for KEBSQ Correct Endorsements and Correct Rejections

Item	Practice element	Correct Endorsements					Correct Rejections
			Difficulty Parameters					Difficulty Parameters
		α	β1	β2	β3	β4	α	β1	β2	β3	β4
1	Exposure	0.57	−4.52				0.65	−5.69	−3.80	−1.40
2	Modeling	1.32	−3.83	−0.88	1.14	1.87
3	Relaxation	1.34	−4.62	−1.28	−0.07	1.29
4	Therapist praise/rewards	1.69	−2.79	−0.82	0.87	1.22
5	Self-monitoring	1.39	−2.62	−0.63	0.54		0.68	−0.11
6	Psychoeducation - child	1.28	−2.33	−0.92	0.06	0.43
7	Activity scheduling	1.63	−1.80				1.09	−1.57	−1.04	0.68
8	Skill building/behavioral rehearsal	1.52	−0.11				1.29	−0.15	0.87	2.51
9	Self-reward/self-praise	1.60	−1.28	0.26	0.54		1.08	1.81
10	Commands/limit setting	2.36	−2.13	−1.06			1.16	−1.49	−1.02
11	Psychoeducation - parent	2.29	−2.05	−1.01	−0.45	−0.34
12	Response cost	1.01	−2.64	−0.81			0.44	−7.74	−5.17
13	Tangible rewards	1.70	−2.87	−1.07	1.40		1.08	−2.13
14	Parent praise	1.91	−2.46	−1.06	0.47		1.28	−0.31
15	Parent-monitoring	1.04	−0.80	−0.02			1.30	0.81	1.71
16	Directed play	1.14	−1.26	0.09			1.24	−0.32	0.75
17	Stimulus/antecedent control	1.63	−2.69	−0.75	0.86		1.17	−0.14
18	Social skills training	1.82	−3.02	−1.00	0.08	0.62
19	Family engagement	1.55	−1.01				1.64	0.31	0.64	1.34
20	Crisis management						1.85	−0.54	−0.25	0.61	1.79
21	Play therapy						1.30	−0.83	−0.51	0.61	1.85
22	Supportive listening						2.00	0.23	0.34	0.95	2.09
23	Parent coping	2.02	−1.89	−0.85	−0.05		1.46	0.66
24	Emotional processing						1.11	−2.08	−1.34	0.72	2.23
25	Mentoring						1.46	−1.22	−0.85	0.20	1.45
26	Family therapy	1.57	−1.12				2.01	−0.08	0.54	1.48
27	Relationship/rapport building	2.04	−1.94	−1.22	−0.79	−0.63
28	Educational support	0.82	−2.36	0.04			1.02	−1.72	−1.13
29	Maintenance/relapse prevention	1.43	−2.10	−1.00	−0.33	−0.12
30	Peer modeling/pairing						1.14	−2.30	−1.68	0.01	1.49
31	Cognitive/coping	1.13	−2.94	−1.05	1.04		1.27	−1.25
32	Natural/logical consequences	1.05	−2.18	−0.12			0.97	−2.46	−1.84
33	Insight building	1.49	−1.68	−0.05			1.92	−0.22	0.93
34	Assertiveness training	1.16	−1.57	1.28			1.41	−1.40	1.15
35	Problem solving	1.42	−2.69	−0.87	0.35	0.82
36	Time-out	1.04	−2.89	−0.33			0.68	−5.33	−3.83
37	Ignoring or DRO	1.14	−2.73	−0.59	2.40		1.06	−2.59
38	Communication skills	1.40	−2.24	−0.40	0.40		1.31	0.37
39	Line of sight supervision						1.43	−1.40	−0.86	0.36	1.35
40	Milieu therapy						0.95	−1.42	−1.00	0.09	1.60

Note. α = discrimination parameter—i.e. the slope of the item characteristic curve at its inflection point. Difficulty parameters represent thresholds [on a standard normal (z) scale] between item performance of 0 vs. 1, 1 vs. 2, 2 vs. 3, etc. The number of correct endorsement and correct rejection difficulty parameters varies between items because difficulty parameters are available for each possible correct endorsement and correct rejection, and items vary in the number of correct endorsements and correct rejections that are possible. Note that items with more response options (higher possible total score) will contribute more information (on average), but note that there are diminishing returns on additional information gain from adding additional response options