Test equating sleep scales: applying the Leunbach’s model

Adroher, Núria Duran; Kreiner, Svend; Young, Carolyn; Mills, Roger; Tennant, Alan

doi:10.1186/s12874-019-0768-y

BMC Medical Research Methodology

Table 5 Direct equating

From: Test equating sleep scales: applying the Leunbach’s model

Equated pair	Likelihood Ratio Test	Gamma coefficient	Number (%,CI, and p-value^*) of persons with significant differences between measurements	Bootstrap distribution of SEE
Equated pair	Likelihood Ratio Test	Gamma coefficient		Min	Median	Max	Weighted Mean
ESS^a-MOS^b MOS^b-ESS^a	P = 0.604	P = 0.606	31 (4.6%) [3.0, 6.2] P = 0.6515	0	0.48	0.75	0.39
ESS^a-MOS^b MOS^b-ESS^a	P = 0.604	P = 0.606	31 (4.6%) [3.0, 6.2] P = 0.6515	0	0.5	0.74	0.46
ESS^a-NSID^a NSID^a-ESS^a	P = 0.140	P = 0.988	33 (5.3%) [3.5, 7] P = 0.7481	0.06	0.66	2.14	0.80
ESS^a-NSID^a NSID^a-ESS^a	P = 0.140	P = 0.988	33 (5.3%) [3.5, 7] P = 0.7481	0	0.46	2.18	0.38
ESS^a-NSIN^c NSIN^c-ESS^a	P = 0.112	P = 0.930	42 (6.7%) [4.7, 8.6] P = 0.0563	0.06	0.66	2.37	0.93
ESS^a-NSIN^c NSIN^c-ESS^a	P = 0.112	P = 0.930	42 (6.7%) [4.7, 8.6] P = 0.0563	0	0.47	0.82	0.43
ESS^a-NSIF^b NSIF^b-ESS^a	P = 0.576	P = 0.658	32 (4.8%) [3.2, 6.4] P = 0.8172	0	0.3	0.5	0.24
ESS^a-NSIF^b NSIF^b-ESS^a	P = 0.576	P = 0.658	32 (4.8%) [3.2, 6.4] P = 0.8172	0	0.48	0.85	0.44
ESS^a-PSQI^b PSQI^b-ESS^a	P = 0.027	P = 0.492	133 (6%) [5, 7] P = 0.0362	0	0.5	1.23	0.36
ESS^a-PSQI^b PSQI^b-ESS^a	P = 0.027	P = 0.492	133 (6%) [5, 7] P = 0.0362	0	0.43	1.02	0.23
ESS^a-PSD^b PSD^b-ESS^a	P = 0.134	P = 0.002^d	146 (6.5%) [5.5, 7.6] P = 0.0009^d	0	1.26	2.9	1.35
ESS^a-PSD^b PSD^b-ESS^a	P = 0.134	P = 0.002^d	146 (6.5%) [5.5, 7.6] P = 0.0009^d	0	0.32	2.08	0.21
ESS^a-PSRI^a PSRI^a-ESS^a	P = 0.064	P = 0.840	160 (7.1%) [6.1, 8.2] P = 0.0000^d	0	0.89	2.02	0.58
ESS^a-PSRI^a PSRI^a-ESS^a	P = 0.064	P = 0.840	160 (7.1%) [6.1, 8.2] P = 0.0000^d	0	0.33	1.46	0.21
MOS^b-NSID^a NSID^a-MOS^b	P = 0.020	P = 0.999	38 (6%) [4.2, 7.9] P = 0.2428	0.03	0.78	1.67	0.81
MOS^b-NSID^a NSID^a-MOS^b	P = 0.020	P = 0.999	38 (6%) [4.2, 7.9] P = 0.2428	0	0.44	0.78	0.38
MOS^b-NSIN^c NSIN^c-MOS^b	P = 0.168	P = 0.883	34 (5.3%) [3.6, 7.0] P = 0.7238	0	0.55	2.25	0.71
MOS^b-NSIN^c NSIN^c-MOS^b	P = 0.168	P = 0.883	34 (5.3%) [3.6, 7.0] P = 0.7238	0	0.4	0.54	0.35
MOS^b-NSIF^b NSIF^b-MOS^b	P = 0.006^d	P = 0.994	30 (4.4%) [2.9, 6] P = 0.5205	0	0.2	0.5	0.23
MOS^b-NSIF^b NSIF^b-MOS^b	P = 0.006^d	P = 0.994	30 (4.4%) [2.9, 6] P = 0.5205	0	0.31	0.53	0.29
NSID-^aNSIN^c NSIN^c-NSID^a	P = 0.060	P = 0.990	42 (6.9%) [4.9, 8.9] P = 0.0336	0	0.6	1.55	0.58
NSID-^aNSIN^c NSIN^c-NSID^a	P = 0.060	P = 0.990	42 (6.9%) [4.9, 8.9] P = 0.0336	0.06	0.71	1.48	0.60
NSID^a-NSIF^b NSIF^b-NSID^a	P = 0.200	P = 1.000	34 (5.4%) [3.6,7.1] P = 0.682	0	0.38	0.74	0.27
NSID^a-NSIF^b NSIF^b-NSID^a	P = 0.200	P = 1.000	34 (5.4%) [3.6,7.1] P = 0.682	0.07	1.04	1.64	0.92
NSIN^c-NSIF^b NSIF^b-NSIN^c	P = 0.001^d	P = 1.000	33 (5.1%) [3.4,6.9] P = 0.8633	0	0.38	0.65	0.27
NSIN^c-NSIF^b NSIF^b-NSIN^c	P = 0.001^d	P = 1.000	33 (5.1%) [3.4,6.9] P = 0.8633	0	0.78	2.14	0.85
PSQI^b-PSD^b PSD^b-PSQI^b	P = 0.300	P = 0.177	127 (5.7%) [4.7,6.7] P = 0.1294	0	1.05	1.72	0.70
PSQI^b-PSD^b PSD^b-PSQI^b	P = 0.300	P = 0.177	127 (5.7%) [4.7,6.7] P = 0.1294	0	0.37	1.68	0.26
PSQI^b-PSRI^a PSRI^a-PSQI^b	P = 0.234	P = 0.018	131 (5.9%) [4.9, 6.8] P = 0.0603	0	0.70	2.04	0.48
PSQI^b-PSRI^a PSRI^a-PSQI^b	P = 0.234	P = 0.018	131 (5.9%) [4.9, 6.8] P = 0.0603	0	0.42	1.67	0.26
PSD^b-PSRI^a PSRI^a-PSD^b	P = 0.085	P = 1.000	177 (7.9%) [6.8,9.0] P = 0.000^d	0	0.5	2.43	0.42
PSD^b-PSRI^a PSRI^a-PSD^b	P = 0.085	P = 1.000	177 (7.9%) [6.8,9.0] P = 0.000^d	0	0.87	3.55	0.68
Ideal values	> 0.01	> 0.01	Lower Confidence Interval < 5%			<0.91

Average weighted means above 0.91 are in bold
Abbreviations: P p-value, SEE Standard error of Equating
^aMost prevalent aspect is Sleep disturbance
^bMost prevalent aspect is Impact of sleep on daily life
^cMost prevalent aspect is Quality of sleep
^dSignificant at the 1% level
^*The p-value of a test that the observed frequencies of persons with significant differences is larger than 5%

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