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Unformatted text preview: Type III and Type IV Hypotheses Example An education major wanted to test the efficacy of teaching methods for the division of fractions. Two new methods along with the standard method were studied. Five teachers were trained in all methods and taught a total of twelve classes. Differences in pre- and post-test scores are recorded below: Teacher Method 1 2 3 4 5 A 10 , 7 6 11 6 B 4 5 7 , 8 3 C 13 16 We want to understand Type III and Type IV SS in SAS using this example. We can obtain the contrasts that SAS tests when testing Type III and Type IV SS using the following commands. proc glm; classes teacher method; model diff=method|teacher/e e3 e4; We obtain the following SAS output for the Type III SS contrasts for METHOD: Type III Estimable Functions for: METHOD Effect Coefficients INTERCEPT METHOD a L2 b L3 c-L2-L3 TEACHER 1 2 3 4 5 TEACHER*METHOD 1 a 0.0909*L2-0.2273*L3 1 b-0.0909*L2+0.2273*L3 2 a 0.4545*L2+0.3636*L3 2 c-0.4545*L2-0.3636*L3 3 a 0.3636*L2+0.0909*L3 3 b 0.1818*L2+0.5455*L3 3 c-0.5455*L2-0.6364*L3 1 4 b...
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This note was uploaded on 10/01/2009 for the course STAT stat706 taught by Professor Johnm.grego during the Spring '08 term at South Carolina.
- Spring '08