Table 2.

Item description, item difficulty, and misfit item(s)

					Age
Items	Item questions	All	Low edu.	English	3-5 yo	5-8 yo	9-12 yo
	Social Co-viewing (Cronbach’s alpha = 0.83)
6	How often do you laugh with your child about the things you see on TV?	-1.02	-0.16	0.00	0.06	-0.29	0.23
1	How often do you watch TV together because you both like a program?	0.04	0.06	-0.10	-0.11	0.17	-0.06
12	How often do you watch TV together because of a common interest in a program?	0.14	0.02b	0.15c	0.23d	-0.11d	-0.12d
14	How often do you watch TV together just for fun?	0.20	0.24	-0.21	0.08	0.08	-0.16
5	How often do you watch your favorite program together?	0.64	-0.15	0.15	-0.26	0.15	0.11
	Instructive Mediation (Cronbach’s alpha = 0.83)
2	How often do you explain what something on TV really means?	-0.59a	0.33	-0.30	0.21	0.47	-0.68
4	How often do you try to help your child understand what she/he sees on TV?	-0.40	-0.04	-0.05	-0.21	0.01	0.19
8	How often do you point out why some things actors do are bad?	0.08	-0.14	0.17	0.14	-0.36	0.22
10	How often do you point out why some things actors do are good?	0.18	-0.02	0.03	0.06	-0.06	0.00
13	How often do you explain the motives of TV characters?	0.72	-0.13	0.16	-0.20	-0.07	0.27
	Restrictive (Cronbach’s alpha = 0.72)
15	How often do you forbid your child to watch certain programs?	-0.38	0.04	-0.06	0.01	-0.18	0.17
9	How often do you tell your child to turn off the TV when he/she is watching an unsuitable program?	-0.25	-0.06	0.13	0.10	0.01	-0.10
3	How often do you specify in advance the programs that may be watched?	-0.07	0.02	0.03	0.16	-0.26	0.10
11	How often do you restrict the amount of TV your child can watch?	0.09	-0.07	0.07	-0.25	0.20	0.05
7	How often do you set specific viewing hours for your child?	0.62	0.07	-0.17	-0.01	0.23	-0.22

Note. ^aMisfit item (Item 2) Outfit MNSQ = 1.34; ^b Misfit item (Item 14) Infit/Outfit MNSQ = 1.37; ^c Misfit item (Item 14) Infit/Outfit MNSQ = 1.32;^dMisfit item (Item 14) Infit MNSQ = 1.36; Outfit MNSQ = 1.42.

Item difficulties for High edu. and Spanish were not shown here since the estimates were constrained to be zero, the item difficulty will have opposite sign if only two groups were considered. For example, item difficulty of item 1 for High edu. is -0.06.