Lecture 33

Data use in Random Effects Example:
data	Lab	Line
14.9070	1	1
13.1165	1	1
12.2312	1	1
15.5282	1	2
12.6157	1	2
14.7300	1	2
16.8733	1	3
19.1681	1	3
18.0030	1	3
23.3442	1	4
23.5263	1	4
22.3010	1	4
17.8918	1	5
17.8043	1	5
19.0521	1	5
20.1786	1	6
20.9647	1	6
20.1638	1	6
10.8476	1	7
8.9946	1	7
9.1120	1	7
12.1916	1	8
14.2052	1	8
11.8297	1	8
19.2590	1	9
20.8630	1	9
20.3698	1	9
14.3032	1	10
14.1405	1	10
12.4909	1	10
7.1885	1	11
8.2219	1	11
8.7921	1	11
15.1278	1	12
15.3682	1	12
13.9468	1	12
10.9553	1	13
11.7547	1	13
12.7315	1	13
10.2638	1	14
12.5736	1	14
9.8445	1	14
11.1770	1	15
13.3558	1	15
12.9492	1	15
9.8028	1	16
8.1493	1	16
9.3433	1	16
17.0373	1	17
15.9992	1	17
17.7740	1	17
19.0324	1	18
18.6058	1	18
18.5175	1	18
11.9078	1	19
12.0631	1	19
11.7413	1	19
17.2695	1	20
16.5473	1	20
17.7794	1	20
23.3907	2	1
23.0861	2	1
22.6734	2	1
25.6311	2	2
25.2578	2	2
23.5245	2	2
27.3517	2	3
27.3627	2	3
28.2532	2	3
34.3939	2	4
32.8240	2	4
32.7712	2	4
26.0562	2	5
26.8875	2	5
28.3139	2	5
28.8419	2	6
29.8021	2	6
28.9807	2	6
18.9650	2	7
19.1271	2	7
20.1901	2	7
21.9816	2	8
23.2754	2	8
22.2085	2	8
30.7921	2	9
30.0830	2	9
29.7532	2	9
22.4683	2	10
24.2907	2	10
22.5585	2	10
18.9874	2	11
17.7424	2	11
15.6460	2	11
23.3844	2	12
23.9152	2	12
24.7896	2	12
21.2473	2	13
21.7304	2	13
21.2877	2	13
20.5947	2	14
21.9530	2	14
22.0563	2	14
23.8495	2	15
22.0373	2	15
24.0794	2	15
19.3952	2	16
17.2371	2	16
18.7639	2	16
27.5097	2	17
26.5384	2	17
28.5327	2	17
29.2177	2	18
28.4851	2	18
31.5954	2	18
22.6088	2	19
22.4028	2	19
23.0586	2	19
28.9071	2	20
28.4276	2	20
30.1337	2	20
21.7770	3	1
21.1783	3	1
22.9399	3	1
22.4134	3	2
23.4129	3	2
23.1185	3	2
27.7630	3	3
26.9636	3	3
26.2597	3	3
32.8520	3	4
32.2164	3	4
32.1109	3	4
27.9326	3	5
25.2725	3	5
28.1940	3	5
27.4771	3	6
29.0705	3	6
29.1615	3	6
18.4055	3	7
18.9737	3	7
18.2569	3	7
22.6181	3	8
20.7415	3	8
21.3205	3	8
28.4558	3	9
29.2440	3	9
29.0136	3	9
21.7803	3	10
19.4222	3	10
21.1624	3	10
17.0668	3	11
15.5283	3	11
17.1820	3	11
25.5431	3	12
23.2323	3	12
23.4925	3	12
20.9720	3	13
19.7675	3	13
21.1398	3	13
20.0598	3	14
19.6981	3	14
20.9404	3	14
22.6087	3	15
21.3664	3	15
20.3514	3	15
19.4004	3	16
19.4222	3	16
17.8508	3	16
26.7131	3	17
25.4263	3	17
25.7368	3	17
28.4437	3	18
28.5165	3	18
31.3184	3	18
23.8152	3	19
19.4731	3	19
22.2299	3	19
27.3395	3	20
26.0174	3	20
26.2797	3	20
19.6084	4	1
20.2380	4	1
22.0946	4	1
20.8455	4	2
22.8182	4	2
23.1298	4	2
26.9856	4	3
25.9465	4	3
26.2493	4	3
31.8340	4	4
32.1938	4	4
30.8967	4	4
25.2911	4	5
24.8666	4	5
25.4073	4	5
29.3709	4	6
26.6202	4	6
27.4824	4	6
16.7894	4	7
18.4859	4	7
16.3039	4	7
18.2166	4	8
21.0099	4	8
21.9272	4	8
28.9022	4	9
27.2345	4	9
28.1705	4	9
20.7626	4	10
20.0376	4	10
20.5156	4	10
15.4879	4	11
14.7961	4	11
13.8037	4	11
22.0385	4	12
21.0565	4	12
22.8917	4	12
18.1687	4	13
19.7874	4	13
18.7182	4	13
16.8599	4	14
19.6628	4	14
19.8729	4	14
20.2094	4	15
22.0352	4	15
19.3404	4	15
16.9287	4	16
15.0992	4	16
18.9072	4	16
27.3211	4	17
24.3380	4	17
25.7242	4	17
25.6566	4	18
26.7113	4	18
26.1105	4	18
20.5081	4	19
20.2694	4	19
20.9242	4	19
24.7722	4	20
23.5297	4	20
26.9462	4	20
-2.6825	5	1
-2.4310	5	1
-0.3867	5	1
1.8742	5	2
2.0471	5	2
2.0810	5	2
4.5846	5	3
4.7655	5	3
1.9482	5	3
7.9978	5	4
12.0368	5	4
11.0041	5	4
3.5936	5	5
2.4219	5	5
3.4567	5	5
7.9688	5	6
7.4240	5	6
5.5459	5	6
-4.2320	5	7
-2.9137	5	7
-2.4212	5	7
-0.9367	5	8
-2.1138	5	8
-0.5639	5	8
5.8154	5	9
8.3363	5	9
8.5151	5	9
-1.0496	5	10
-0.6387	5	10
0.0877	5	10
-5.4410	5	11
-4.4455	5	11
-7.0987	5	11
1.2419	5	12
0.7862	5	12
1.0574	5	12
-1.2321	5	13
-1.5484	5	13
-0.3934	5	13
-3.7946	5	14
-2.8663	5	14
-1.4753	5	14
-1.0949	5	15
-1.7847	5	15
-1.3967	5	15
-3.7181	5	16
-3.8891	5	16
-5.6799	5	16
6.6720	5	17
4.9093	5	17
4.9013	5	17
5.8602	5	18
7.6177	5	18
6.7868	5	18
-0.4781	5	19
-0.8009	5	19
-0.4206	5	19
6.7230	5	20
3.5575	5	20
4.9435	5	20
6.4986	6	1
6.4108	6	1
4.7130	6	1
8.8387	6	2
8.4245	6	2
8.2774	6	2
11.5513	6	3
12.4344	6	3
10.0596	6	3
14.2930	6	4
15.9794	6	4
15.8726	6	4
10.8590	6	5
9.3761	6	5
9.9665	6	5
12.7123	6	6
13.3032	6	6
14.0457	6	6
5.3268	6	7
3.0066	6	7
5.3198	6	7
6.2640	6	8
6.4669	6	8
4.8308	6	8
11.4593	6	9
13.4023	6	9
14.2367	6	9
7.0702	6	10
5.9432	6	10
6.5596	6	10
0.4947	6	11
-0.2314	6	11
0.9321	6	11
7.4018	6	12
9.3511	6	12
8.2328	6	12
3.9618	6	13
4.4594	6	13
5.4313	6	13
5.7818	6	14
5.8583	6	14
5.2643	6	14
5.7982	6	15
5.1419	6	15
6.2077	6	15
3.2224	6	16
2.5674	6	16
0.8782	6	16
10.1530	6	17
10.8745	6	17
11.3282	6	17
11.9698	6	18
12.6089	6	18
13.0026	6	18
3.8189	6	19
6.1569	6	19
4.7215	6	19
10.4417	6	20
9.9724	6	20
11.5738	6	20
29.4867	7	1
26.9619	7	1
27.2031	7	1
30.4493	7	2
31.9656	7	2
29.4961	7	2
31.9186	7	3
32.9851	7	3
33.2859	7	3
38.2806	7	4
38.1985	7	4
39.0182	7	4
32.4830	7	5
33.3453	7	5
32.5609	7	5
34.3534	7	6
33.0254	7	6
33.0160	7	6
26.6373	7	7
24.3581	7	7
25.8437	7	7
27.2906	7	8
25.8503	7	8
26.9679	7	8
35.0079	7	9
36.6655	7	9
36.5638	7	9
28.7682	7	10
25.8230	7	10
28.5992	7	10
21.7571	7	11
22.5851	7	11
22.2035	7	11
28.4899	7	12
29.9481	7	12
28.9232	7	12
25.3550	7	13
24.4900	7	13
27.7664	7	13
27.2431	7	14
26.4280	7	14
26.1420	7	14
29.0089	7	15
27.9622	7	15
26.5679	7	15
24.4657	7	16
26.1991	7	16
23.7695	7	16
32.4377	7	17
32.0743	7	17
32.6501	7	17
34.6571	7	18
35.0126	7	18
35.1446	7	18
28.0113	7	19
27.8751	7	19
28.8374	7	19
33.7227	7	20
32.2010	7	20
31.3547	7	20
12.0247	8	1
10.1940	8	1
9.8909	8	1
13.3364	8	2
10.5035	8	2
12.0765	8	2
16.4579	8	3
14.5103	8	3
14.8295	8	3
22.9275	8	4
23.3529	8	4
20.5887	8	4
15.0138	8	5
14.2616	8	5
13.7730	8	5
15.5624	8	6
17.1150	8	6
18.2482	8	6
9.0352	8	7
9.4526	8	7
6.9796	8	7
10.3190	8	8
10.7387	8	8
10.4075	8	8
17.8953	8	9
17.4954	8	9
19.1537	8	9
10.4526	8	10
8.9526	8	10
11.1060	8	10
3.9027	8	11
2.3249	8	11
6.2845	8	11
12.6033	8	12
12.5150	8	12
12.7428	8	12
9.1739	8	13
9.7140	8	13
8.9511	8	13
9.1419	8	14
9.0137	8	14
8.7070	8	14
9.3096	8	15
10.8163	8	15
9.9531	8	15
6.1186	8	16
7.6217	8	16
6.7092	8	16
14.3293	8	17
16.6604	8	17
13.9987	8	17
18.9813	8	18
17.2220	8	18
18.6879	8	18
10.4429	8	19
11.2775	8	19
10.6961	8	19
15.4542	8	20
17.0869	8	20
14.3969	8	20
33.0633	9	1
34.2399	9	1
33.3362	9	1
35.2998	9	2
37.7319	9	2
35.8265	9	2
39.7341	9	3
38.7022	9	3
37.1461	9	3
45.5062	9	4
45.5291	9	4
44.6096	9	4
37.9293	9	5
38.4863	9	5
37.4708	9	5
40.5889	9	6
41.1861	9	6
40.2008	9	6
33.6521	9	7
31.1520	9	7
31.4550	9	7
33.5641	9	8
33.2619	9	8
34.3844	9	8
41.9821	9	9
42.1690	9	9
42.8544	9	9
34.8039	9	10
34.6093	9	10
34.6275	9	10
28.8126	9	11
29.5961	9	11
26.2923	9	11
36.8110	9	12
37.4376	9	12
35.7718	9	12
32.7347	9	13
33.9621	9	13
33.1884	9	13
31.8100	9	14
32.5662	9	14
33.5703	9	14
33.4947	9	15
34.6263	9	15
35.7892	9	15
30.0174	9	16
31.1782	9	16
31.8614	9	16
39.5840	9	17
39.0624	9	17
39.2738	9	17
42.1007	9	18
43.3804	9	18
41.9831	9	18
34.7740	9	19
34.5057	9	19
34.8609	9	19
38.3554	9	20
40.8891	9	20
38.5517	9	20
17.3118	10	1
17.6393	10	1
18.7917	10	1
19.4277	10	2
18.5265	10	2
19.3874	10	2
22.7558	10	3
22.0453	10	3
23.2774	10	3
28.1735	10	4
28.4219	10	4
29.4616	10	4
22.7105	10	5
20.5923	10	5
21.8495	10	5
23.7186	10	6
26.2807	10	6
23.9251	10	6
14.7841	10	7
14.8083	10	7
14.4086	10	7
17.7563	10	8
17.2886	10	8
18.4500	10	8
23.6527	10	9
26.1149	10	9
25.2825	10	9
16.2850	10	10
17.7659	10	10
16.9984	10	10
13.7707	10	11
12.3552	10	11
14.2585	10	11
18.7272	10	12
18.8724	10	12
18.4324	10	12
16.4710	10	13
15.4660	10	13
14.5768	10	13
17.3205	10	14
16.8907	10	14
15.6526	10	14
17.7207	10	15
16.4290	10	15
16.9343	10	15
13.0787	10	16
16.4137	10	16
16.0702	10	16
22.0299	10	17
23.4951	10	17
21.0734	10	17
25.8206	10	18
24.1320	10	18
23.5559	10	18
18.2004	10	19
14.2097	10	19
17.0811	10	19
21.0218	10	20
22.8215	10	20
23.8072	10	20