Table 5.

Hip – the SRM, SES, and RI (with 95% CIs) for the OHS and the EQ-5D-3L (by the transition)

			Total	Much better	A little better	About the same	A little worse	Much worse
OHS [0, 48]	Change	N	181,424	155,899	15,565	3891	2382	1633
		(Post-op. mean)	39.3	41.3	28.8	24.2	21.6	14.3
		(Pre-op. mean)	18.2	18.3	17.3	17.8	18.9	16.7
		Mean (SD)	21.1 (9.9)	22.9 (8.6)	11.5 (7.8)	6.3 (8.0)	2.7 (7.6)	− 2.3 (8.3)
	Meanchange score/SDchange score		2.1 (2.1, 2.1)	2.7 (2.7, 2.7)	1.5 (1.5, 1.5)	0.8 (0.8, 0.8)	0.4 (0.3, 0.4)	− 0.3 (− 0.3, − 0.2)
	SRM [Eq. 1]		1.8 (1.8, 1.8)a	2.3 (2.3, 2.3)	1.6 (1.5, 1.6)	0.9 (0.8, 0.9)	0.4 (0.3, 0.4)	− 0.3 (− 0.3, − 0.2)
	SES [Eq. 2]		2.8 (2.8, 2.8)b	2.9 (2.9, 2.9)	1.7 (1.7, 1.7)	1.4 (1.3, 1.4)	1.0 (1.0, 1.1)	1.1 (1, 1.2)
	RI [Eq. 3]		0.6 (0.6, 0.7)c
EQ-5D-3L [− 0.59, 1]	Change	N	171,423	147,638	14,577	3625	2216	1493
		(Post-op. mean)	0.8	0.8	0.6	0.5	0.4	0.2
		(Pre-op. mean)	0.4	0.4	0.3	0.3	0.4	0.3
		Mean (SD)	0.4 (0.3)	0.5 (0.3)	0.3 (0.3)	0.2 (0.3)	0.1 (0.3)	− 0.1 (0.3)
	Meanchange score/SDchange score		1.3 (1.3, 1.3)	1.4 (1.4, 1.5)	0.8 (0.8, 0.9)	0.5 (0.4, 0.5)	0.2 (0.1, 0.2)	− 0.3 (− 0.4, − 0.3)
	SRM [Eq. 1]		1.1 (1.1, 1.1)	1.2 (1.2, 1.2)	0.8 (0.8, 0.8)	0.5 (0.5, 0.5)	0.2 (0.1, 0.2)	− 0.3 (− 0.4, − 0.3)
	SES [Eq. 2]		1.6 (1.6, 1.6)	1.6 (1.6, 1.6)	1.4 (1.4, 1.4)	1.3 (1.3, 1.3)	1.1 (1.1, 1.1)	1.2 (1.1, 1.3)
	RI [Eq. 3]		0.3 (0.3, 0.4)

^aThe SRM [Eq. 1] of the total OHS = $\frac{{\text{Mean}}_{\text{change score}}/{\mathrm{SD}}_{\text{change score}}}{\surd 2\times \surd \left(1-r\right)}=\frac{2.1}{\surd 2\times \surd \left(1-0.32\right)}=1.8$

^bThe SES [Eq. 2] of the total OHS = $\frac{{\text{Mean}}_{\mathrm{pre}-\mathrm{op}.\text{score}}-{\text{Mean}}_{\text{post}-\mathrm{op}.\text{score}\left(\text{of the success level}\right)}}{{\mathrm{SD}}_{\mathrm{pre}-\mathrm{op}.\text{score}\left(\text{of the success level}\right)}}=\frac{18.2-40.46}{7.87}=\left|2.83\right|=2.8$

where 18.2 is pre-op. mean of the OHS (Table 5), 40.46 (7.42) is post-op. mean (SD), and 17.87 (7.87) is pre-op. of mean (SD) of the total improved subjects (N = 169,142); 40.46 of the post-op. mean and 7.87 of the pre-op. SD were used in this case

^cThe RI [Eq. 3] of the total OHS = $\frac{{\mathrm{M}\mathrm{C}\mathrm{I}\mathrm{D}}_{\mathrm{a}\mathrm{n}\mathrm{c}\mathrm{h}\mathrm{o}\mathrm{r}-\mathrm{b}\mathrm{a}\mathrm{s}\mathrm{e}\mathrm{d}}}{{\mathrm{S}\mathrm{D}}_{\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}\mathrm{s}\mathrm{c}\mathrm{o}\mathrm{r}\mathrm{e}\left(\mathrm{o}\mathrm{f}\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{b}\mathrm{l}\mathrm{e}\mathrm{l}\mathrm{e}\mathrm{v}\mathrm{e}\mathrm{l}\right)}}=\frac{{\mathrm{M}\mathrm{e}\mathrm{a}\mathrm{n}}_{\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}\mathrm{s}\mathrm{c}\mathrm{o}\mathrm{r}\mathrm{e}}\mathrm{o}\mathrm{f}\mathrm{A}\mathrm{l}\mathrm{i}\mathrm{t}\mathrm{t}\mathrm{l}\mathrm{e}\mathrm{b}\mathrm{e}\mathrm{t}\mathrm{t}\mathrm{e}\mathrm{r}\mathrm{v}\mathrm{s}.\mathrm{A}\mathrm{b}\mathrm{o}\mathrm{u}\mathrm{t}\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{s}\mathrm{a}\mathrm{m}\mathrm{e}}{{\mathrm{S}\mathrm{D}}_{\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}\mathrm{s}\mathrm{c}\mathrm{o}\mathrm{r}\mathrm{e}\left(\mathrm{o}\mathrm{f}\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{b}\mathrm{l}\mathrm{e}\mathrm{l}\mathrm{e}\mathrm{v}\mathrm{e}\mathrm{l}\right)}}=\frac{5.15}{7.97}=0.6$

where the mean change of a little better vs. about the same is 5.15, and the mean (SD) of about the same is 6.34 (7.97)