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