Linking Vertical Jump and Standing Broad Jump Tests: A Testing Equating Application

Figures & data

Table 1. Characteristics of Participants in Overall, Calibration and Cross-Validation Groups.

Group	N		Age (yr.)	Height (cm)	Weight (kg)	BMI	VJ (cm)	SLJ (cm)
Overall
Male	280	M	13.25	159.36	51.39	19.88	36.27	168.26
		SD	2.38	13.45	13.75	3.04	9.35	32.4
Female	248	M	13.2	155.12	49.27	20.33	31.25	147.32
		SD	2.28	9.25	10.11	3.08	7.43	25.69
9–12 yr.	218	M	10.86	147.40	41.47	18.95	29.12	139.67
		SD	.90	8.17	8.71	2.85	6.74	23.66
13–15 yr.	206	M	14.03	162.26	54.01	20.45	35.62	166.72
		SD	.78	7.92	9.40	2.85	7.68	26.12
16–19 yr.	104	M	16.58	168.57	61.96	21.77	40.55	181.32
		SD	.71	8.23	9.87	3.00	9.45	32.22
Total	528	M	13.22	157.37	50.4	20.09	33.91	158.42
		SD	2.34	11.85	12.21	3.07	8.86	31.22
Calibration
Male	255	M	13.26	159.25	51.27	19.87	36.33	167.81
		SD	2.36	13.14	13.49	3.07	9.06	31.99
Female	223	M	13.18	154.98	49.13	20.29	31.13	147.49
		SD	2.3	9.31	10.18	3.04	7.4	25.48
9–12 yr.	200	M	10.90	147.58	41.51	18.91	29.22	140.00
		SD	.89	8.14	8.66	2.77	6.71	23.73
13–15 yr.	183	M	14.03	162.08	53.86	20.44	35.82	167.18
		SD	.79	7.89	9.32	2.86	7.59	25.94
16–19 yr.	95	M	16.58	168.36	61.81	21.79	40.08	179.86
		SD	.71	8.03	9.60	3.05	9.27	31.49
Total	478	M	13.22	157.26	50.27	20.07	33.9	158.33
		SD	2.33	11.7	12.1	3.06	8.71	30.83
Cross Validation
Male	25	M	13.12	160.45	52.68	19.92	35.61	172.82
		SD	2.68	16.57	16.44	2.82	12.17	36.67
Female	25	M	13.32	156.36	50.48	20.61	32.31	145.8
		SD	2.15	8.79	9.54	3.54	7.81	27.99
9–12 yr.	18	M	10.44	145.39	41.04	19.33	28.01	135.89
		SD	.86	8.46	9.51	3.76	7.19	23.07
13–15 yr.	23	M	14.09	163.73	55.16	20.49	34.07	163.00
		SD	.73	8.20	10.16	2.84	8.41	27.81
16–19 yr.	9	M	16.56	170.82	63.51	21.55	45.58	196.71
		SD	.73	10.43	13.02	2.43	10.42	37.68
Total	50	M	13.22	158.4	51.58	20.26	33.96	159.31
		SD	2.41	13.29	13.35	3.18	10.26	35.05

Table 2. Statistical summary of conversion accuracy by sample and equating method.

	Raw		Linear					Equipercentile
Group	N	M ± SD	M ± SD	t	p	ES	r	M ± SD	t	p	ES	r
Calibration
Male	255	36.33 ± 9.06	36.57 ± 9.08	.56	.57	.04	.72	36.57 ± 9.2	.55	.58	.03	.72
Female	223	31.13 ± 7.4	30.81 ± 7.22	−.64	.52	−.04	.48	30.78 ± 6.97	−.72	.47	−.05	.49
9–12 yr.	200	29.22 ± 6.71	28.69 ± 6.72	.80	.43	.08	.47	28.77 ± 6.51	.68	.50	.07	.46
13–15 yr.	183	35.82 ± 7.59	36.39 ± 7.36	−.74	.46	.08	.58	36.23 ± 7.25	−.54	.59	.06	.58
16–19 yr.	95	40.08 ± 9.27	39.98 ± 8.95	.07	.94	.01	.63	40.03 ± 9.47	.03	.97	.004	.65
Total	478	33.9 ± 8.71	33.88 ± 8.74	−.07	.95	0	.67	33.87 ± 8.72	−.11	.91	−.01	.67
Cross Validation
Male	25	35.61 ± 12.17	38.03 ± 10.38	1.89	.07	.38	.85	38.32 ± 10.92	2.14	.04	.43	.85
Female	25	32.31 ± 7.81	30.35 ± 7.93	−1.38	.18	−.28	.59	30.32 ± 7.68	−1.44	.16	−.29	.6
9–12 yr.	18	28.01 ± 7.19	27.57 ± 6.54	.19	.85	.06	.14	27.75 ± 6.52	.11	.91	.04	.16
13–15 yr.	23	34.07 ± 8.41	35.23 ± 7.91	−.48	.63	.14	.70	35.04 ± 7.80	−.41	.69	.12	.69
16–19 yr.	9	45.58 ± 10.42	44.77 ± 10.67	.16	.87	.08	.93	45.62 ± 11.62	−.008	.99	.004	.93
Total	50	33.96 ± 10.26	34.19 ± 9.93	.23	.82	.03	.76	34.32 ± 10.18	.37	.72	.05	.77

Table 3. Equipercentile Conversion Table between SLJ and VJ (cm) with SE (Standard Error) and RMSE (Root Mean Square Error).

SLJ	VJ	SE	RMSE	SLJ	VJ	SE	RMSE	SLJ	VJ	SE	RMSE	SLJ	VJ	SE	RMSE	SLJ	VJ	SE	RMSE
74	6.0	.87	1.69	109	21.0	.91	1.29	144	29.8	.41	.74	179	38.8	.51	.78	214	51.8	.91	1.4
75	8.5	1.41	2.5	110	21.9	.94	1.24	145	29.9	.41	.81	180	38.9	.5	.87	215	51.8	.91	1.4
76	8.5	1.41	2.5	111	21.9	.94	1.24	146	30.0	.41	.84	181	39.1	.5	.97	216	52.1	.86	1.36
77	8.5	1.41	2.5	112	22.4	1	1.1	147	30.2	.42	.95	182	39.1	.5	.97	217	52.3	.82	1.48
78	8.5	1.41	2.5	113	22.8	.69	1.01	148	30.5	.43	1.11	183	39.3	.49	1.27	218	52.7	1.56	1.53
79	8.5	1.41	2.5	114	22.88	.7	.94	149	30.5	.43	1.11	184	40.6	.89	1.12	219	53.2	1.45	1.52
80	8.5	1.41	2.5	115	23.0	.72	.93	150	31.6	.42	.9	185	41.0	.87	1.09	220	53.2	1.45	1.52
81	8.5	1.41	2.5	116	23.0	.72	.93	151	31.7	.42	.81	186	41.4	.86	1.1	221	54.0	1.05	1.44
82	8.5	1.41	2.5	117	23.2	.74	.85	152	32.1	.42	.62	187	41.4	.86	1.1	222	54.8	.97	1.53
83	8.5	1.41	2.5	118	23.4	.76	.86	153	32.5	.55	.53	188	41.9	.89	1.05	223	54.8	.97	1.53
84	8.5	1.41	2.5	119	23.5	.62	.87	154	32.5	.55	.53	189	42.4	.87	1.04	224	55.0	.89	1.5
85	8.5	1.41	2.5	120	23.6	.62	.88	155	32.7	.55	.52	190	42.8	1.58	1.1	225	55.3	.83	1.59
86	9.0	1.66	2.57	121	23.6	.62	.88	156	32.9	.54	.53	191	43.4	1.55	1.22	226	55.3	.83	1.59
87	9.5	2	2.83	122	23.9	.64	.87	157	33.3	.55	.69	192	43.4	1.55	1.22	227	55.3	.83	1.59
88	9.5	2	2.83	123	24.2	.67	.96	158	33.8	.64	.85	193	43.6	.97	1.23	228	55.3	.83	1.59
89	10.0	2.17	2.9	124	24.4	.69	1.04	159	33.8	.64	.85	194	43.9	.95	1.27	229	55.4	.81	1.56
90	10.5	2.44	2.84	125	24.6	.7	1.14	160	33.9	.63	.89	195	43.9	.95	1.27	230	55.5	1.57	1.55
91	12.0	1.41	2.79	126	24.6	.7	1.14	161	34.0	.63	.92	196	44.2	.92	1.26	231	56.3	1.28	1.58
92	13.0	1.53	2.84	127	25.1	.73	1.35	162	34.0	.63	.92	197	45.0	.59	1.13	232	58.0	.93	77.83
93	13.0	1.53	2.84	128	26.6	.76	1.19	163	34.3	.63	1.03	198	45.7	.57	1.08	233	58.0	.93	78.28
94	14.0	1.15	2.84	129	26.6	.76	1.19	164	35.6	.46	.94	199	45.9	.55	.99	234	58.0	.93	78.72
95	14.83	1.21	2.83	130	26.8	.77	1.13	165	35.8	.45	.75	200	45.9	.55	.99	235	58.0	.93	79.17
96	14.83	1.21	2.83	131	27.0	.78	1.07	166	36.0	.45	.59	201	46.0	.54	.94	236	58.3	.81	79.5
97	16.0	1.4	2.53	132	27.3	.8	.85	167	36.0	.45	.59	202	46.1	.53	.91	237	59.0	1.41	102.26
98	17.2	1.52	2.32	133	27.6	.42	.73	168	36.2	.45	.57	203	46.4	.51	.97	238	59.0	1.41	102.84
99	17.3	1.56	2.24	134	27.6	.42	.73	169	36.4	.45	.64	204	47.0	1.66	1.09	239	59.0	1.41	103.41
100	18.0	1.21	2.23	135	27.8	.43	.58	170	36.7	.81	.64	205	47.0	1.66	1.09	240	59.0	1.41	103.98
101	18.0	1.21	2.23	136	28.1	.44	.51	171	37.0	.8	.64	206	47.4	1.62	1.17	241	59.0	1.41	104.56
102	19.3	1.33	1.79	137	28.3	.45	.48	172	37.0	.8	.64	207	47.7	.86	1.32	242	59.0	1.41	105.13
103	19.7	.48	1.4	138	28.6	.43	.49	173	37.4	.8	.62	208	47.9	.84	1.41	243	59.0	1.41	105.71
104	19.7	.48	1.37	139	28.6	.43	.49	174	37.8	.61	.6	209	48.1	.82	1.48	244	60.0	.87	105.71
105	19.8	.49	1.33	140	28.9	.44	.47	175	38.1	.6	.58	210	48.1	.82	1.48
106	19.8	.49	1.33	141	29.2	.45	.45	176	38.3	.6	.6	211	48.3	.79	1.62
107	20.0	.52	1.27	142	29.5	.41	.51	177	38.3	.6	.6	212	49.7	1.14	1.53
108	20.3	.56	1.37	143	29.9	.41	.74	178	38.6	.52	.64	213	50.4	1.04	1.5