Difference in the balance time across the practice groups

Question

Discussion:

Q: A short study was conducted to determine if balance could be improved with practice technique. After obtaining the length of time (in minutes) a subject can balance on 1 leg on a 12 inch wooden block, subjects were randomly allocated to 4 practice groups. Each group was taught different technique to improve balance. Subjects were then timed again to determine if the balance had improved. Various covariates were also recorded at baseline. Is there difference in the balance time across the practice groups?

Sex	Practice Group	Age	Race	Height	Weight	Outcome	Baseline
Female	B	27	other	69	152	3.542290681	1.99940573
Female	D	39	white	79	124	3.903347675	2.006104558
Female	C	61	white	64.5	109	5.147908274	1.470746078
Female	B	38	other	63	212	4.868394052	2.655393385
Female	A	29	white	63.5	89	7.15657905	3.855546892
Female	A	47	white	69	261	4.699472537	2.076672778
Female	D	45	white	67	185	2.189942994	4.183747929
Female	C	60	white	64	177	3.753277629	4.317306979
Female	A	55	white	62	150	5.747407929	3.906213346
Female	B	40	white	63	151	3.429684607	3.747134962
Female	A	47	white	64	138	5.094963059	2.342102009
Male	B	42	white	71	143	5.2666443	2.23717228
Female	B	58	white	61	120	4.031936659	3.68152735
Female	A	46	white	67	132	6.455061456	3.209018457
Male	B	51	white	68.5	268.5	5.754217723	3.250370203
Female	A	56	other	71	221	7.060358044	4.068270699
Male	B	43	white	71	211	3.820125996	2.598850261
Female	A	55	white	66	160	5.76877334	1.455643048
Female	C	40	white	67	194	3.59582576	2.521271521
Male	B	44	white	71	178	5.161418346	5.307481411
Female	A	53	white	65	130	7.917795326	2.530956394
Male	D	30	white	71	188	3.850214626	2.369333071
Male	B	51	white	78	255	3.360752518	4.537338184
Female	D	55	white	66	140	1.49343746	3.398304363
Female	C	32	white	66	233	4.685954509	5.069504758
Male	D	62	white	72	199	5.942016651	4.463723106
Male	B	50	white	68.5	209	4.197451291	3.595093946
Female	B	65	other	62	127	2.556076327	2.798004312
Female	B	59	white	68	128	5.033799452	4.582274306
Female	A	46	white	71	233	7.228221979	4.404732847
Female	C	22	white	71	283	4.634106796	2.254840407
Female	A	69	white	68	257	8.26215664	4.789323186
Female	D	25	white	67	124	2.609909619	3.259125941
Male	A	79	white	70	171	5.951391801	3.075894225
Female	C	38	white	69	126	3.955599281	3.870878667
Female	B	54	white	65	158	4.073126939	3.955232265
Female	C	71	white	61	148	4.740244861	3.574592668
Female	D	58	white	61	147	0.984564464	2.903847283
Female	B	47	white	66	145	5.401513794	2.600598944
Female	C	46	other	67	331	4.101839399	2.31870612
Female	A	49	white	64	153	5.519902083	3.193073833
Male	D	34	white	73	330	2.165362279	1.592401435
Female	D	41	white	69	223	2.006029167	3.226543041
Female	A	64	white	63	166	6.839310457	3.192365791
Male	C	55	white	70	148	4.028187747	2.655871859
Female	D	41	white	66	120	2.735634781	2.31402255
Female	A	71	white	65	153	5.640023298	4.77683496
Male	B	40	white	70	213	4.374888448	2.422761959
Female	A	41	white	63	231	5.441118625	4.409832434
Male	B	51	white	70	254	5.065495011	1.656699535
Male	D	47	white	74	249	3.668387014	4.015356436
Female	B	66	white	65	187	4.624827555	4.063720409
Female	B	53	white	63	124	5.331439973	2.604900658
Female	A	78	white	64	161	6.456180604	4.579522793
Male	C	38	white	64	233	4.044047727	3.525375191
Female	A	68	white	67	165	4.591767234	3.626576796
Male	B	62	white	74	178	3.153945467	2.606179799
Female	B	69	white	65.5	158	5.239225296	1.588769581
Female	D	29	white	64	105	2.128253706	2.914823185
Female	A	40	white	70	148	5.383668819	3.214776613
Female	B	31	other	65	203	3.496464757	2.538528206
Female	A	59	white	63	170	6.350573414	3.236620557
Female	A	71	white	61	183	7.562362331	3.52817783
Male	D	69	other	71	183	4.213691103	1.980831913
Male	C	79	white	66	189	3.39012035	2.79975965
Female	B	27	white	65	140	3.691729974	2.014252108
Female	A	55	white	68	116	6.352112937	1.891856192
Male	C	32	white	71	199	5.563404876	3.205616364
Female	D	58	white	65	190	1.990851507	2.678378861
Female	B	46	white	65	137	4.942621955	2.871154027
Female	B	42	other	64	167	2.896711692	3.082633538
Male	A	69	white	71	224	6.314484992	2.890261874
Female	B	67	white	64	240	3.189795023	3.498276512
Female	D	42	white	63	171	3.886938931	2.890722026
Female	C	54	other	65	250	4.495977647	2.134937438
Male	D	66	white	69.5	223	4.301552505	1.900761698
Female	B	53	white	64	206	4.953594284	4.24558306
Female	B	37	white	63	122	2.432874009	4.486058737
Female	D	60	white	61	223	3.030636041	3.581127485
Female	A	31	white	69	163	5.549561113	4.201171413
Male	C	69	white	69	205	4.852420732	1.131923729
Male	A	55	white	72	187	6.334942115	3.799226496
Female	B	66	white	67	163	4.679245373	1.696082609
Male	D	64	white	72	191	5.107967148	3.213544124
Female	B	54	white	65	199	4.924911046	2.804434619
Male	A	48	other	74	279	5.282331021	3.338068033
Female	C	35	white	68	135	2.79077463	3.601575984
Female	D	51	white	52	152	3.103487796	3.215439101
Female	A	51	white	72	151	5.389290433	3.544792832
Male	D	62	white	68	242	3.559501337	3.404990992
Female	A	44	white	67	184	6.904275556	1.816655089
Male	B	41	white	71	199	6.448021818	3.09547398
Female	A	49	white	66	157	6.256914633	0.962107353
Female	B	32	white	64	131	3.854096484	3.351230834
Female	C	60	white	66	155	3.56199708	1.788431865
Female	A	22	other	65	174	6.433157416	2.89244247
Male	D	27	white	69	132	1.267020407	3.239173294
Female	B	57	white	67	159	4.722561325	1.606660058
Male	A	43	white	72	205	6.411330523	2.777852335
Male	B	50	white	71	187	4.108537899	1.958000808
Female	A	44	other	67	365	6.756584764	3.553016238
Female	C	57	white	63	116	4.688946648	4.277375209
Female	B	52	white	61	129	4.308443865	2.20776508
Male	D	51	white	72	230	2.995420208	2.977697434
Female	A	58	white	65	138	7.671954344	3.219492652
Male	A	65	white	70	232	6.746634882	1.530259483
Female	B	43	white	67	126	3.900224544	2.761093817
Female	A	48	other	67	258.2	6.673113594	4.767849891
Male	B	54	white	61	232	3.330776375	0.851311976
Female	D	48	other	62	227	4.712578603	3.700051113
Female	C	56	white	65	145	3.919182766	3.487230458
Female	C	41	white	67	192	4.428834825	2.295065325
Female	A	31	other	66	155	6.471860421	3.240527317
Female	A	40	other	65	232	4.603532139	1.450942486
Female	B	77	white	62.5	145	5.605601576	3.93993175
Female	C	62	white	63	207	4.782164773	3.095283224
Male	C	60	white	72	217	4.414773602	3.17283521
Female	D	69	white	66	134	4.757077209	1.756978979
Male	A	79	white	71	175	7.141291674	4.324536648
Female	C	68	white	63	115	4.283905905	4.087541142
Female	D	49	white	64	125	3.967692475	3.559481849
Female	A	41	other	65	249	4.925727241	4.578714175
Female	B	63	white	69	132	1.875595424	3.900054024
Female	C	78	white	61.75	195	4.339229656	1.40769819
Female	B	52	white	65	136	4.942651842	3.034709078
Female	A	62	white	64.5	170	8.163110363	3.001762271
Male	A	56	white	75	276	6.913121465	4.088395049
Female	B	58	white	68	265	4.690677802	-0.17774838
Female	D	67	white	64	202	1.898174664	3.129464499
Male	B	55	white	71	177	3.081678502	2.610217181
Female	A	44	white	65	147	5.769761734	3.751503498
Female	C	50	white	66	162	4.406849421	3.905631044
Female	C	69	white	63	151	3.610773404	2.395289941
Female	B	57	white	65	187	3.86002754	3.13898209
Female	A	56	white	65	155	4.319832835	2.884345934
Female	C	41	white	64	213	4.268467661	4.109804638
Female	C	46	white	68	254	4.186532126	3.721519276
Female	A	30	other	65	142	4.995645053	5.245000764
Female	B	80	white	66	203	5.71960135	3.081358296
Female	D	33	white	68	129	3.160749535	2.443837053
Female	D	61	white	65	119	1.458299473	2.800032913
Female	B	48	other	63	129	6.835208389	4.062805434
Female	C	59	white	52.5	170	3.761215158	2.375906724
Male	C	54	white	66	216	5.679536502	2.882198802
Male	A	57	white	69	145	5.309381084	3.014794971
Female	A	37	white	66	197	4.222168647	3.172849213
Female	B	41	white	66	163	5.892586213	2.97035755
Female	D	58	white	68	200	3.581634595	1.252129337
Male	A	62	white	71	229	6.449196881	1.767024577
Female	B	28	white	63	158.1	3.721573542	1.93650487
Female	B	56	other	64	230	6.043466905	2.684447542
Male	A	55	other	74	147	5.899038034	4.051455787
Female	C	34	white	65	116	4.725573661	3.393115646
Female	A	71	white	64	109	6.942840224	4.678457831
Male	B	40	other	69	172	4.779351344	2.153337347
Male	B	49	white	71	190	4.375237377	1.982389206
Female	D	58	white	65	139	1.831930218	2.222624699
Female	A	56	white	62	165	7.184463698	2.232180868
Male	A	58	white	66.5	118	6.73669397	2.647979885
Female	D	40	white	68	130	0.451015926	3.610321259
Male	B	48	white	74	214	3.219764697	2.75815508
Female	C	63	white	62	133	1.946757741	4.3497345
Female	B	58	white	63	175	3.91455965	3.052750925