Hello, I am having trouble interpreting the estimates and slopes from proc mixed output with a three way interaction term. I have a treatment variable indicator (treatment = 1, comparison = 0), Time indicator variable (0,1,2). Respondents are categorized into one of four regions (North Central, Pacific, Southern, and Southwest) Picture of output: Output in table format: Solution for Fixed Effects Effect Campus Treatment Estimate Standard DF t Value Pr > |t| Error Intercept 3.8495 0.1521 1129 25.3 <.0001 Treatment 0 0.123 0.03584 1129 3.43 0.0006 Treatment 1 0 . . . . Time 0.04476 0.02467 1129 1.81 0.0699 Campus North Central -0.03694 0.051 1129 -0.72 0.469 Campus Pacific 0.01366 0.05097 1129 0.27 0.7887 Campus Southern -0.01249 0.05062 1129 -0.25 0.8052 Campus Southwest 0 . . . . Time*Treatment*Campus North Central 0 -0.06649 0.03482 1129 -1.91 0.0564 Time*Treatment*Campus Pacific 0 -0.08515 0.03452 1129 -2.47 0.0138 Time*Treatment*Campus Southern 0 -0.05736 0.03452 1129 -1.66 0.0969 Time*Treatment*Campus Southwest 0 -0.04947 0.037 1129 -1.34 0.1814 Time*Treatment*Campus North Central 1 -0.06978 0.03345 1129 -2.09 0.0372 Time*Treatment*Campus Pacific 1 -0.01768 0.03392 1129 -0.52 0.6023 Time*Treatment*Campus Southern 1 -0.01683 0.03286 1129 -0.51 0.6086 Time*Treatment*Campus Southwest 1 0 . . . . This is my interpretation, is this correct: The estimate for the NORTH CENTRAL treatment group's intercept is 3.813 (3.8495 + (-0.03694)) The estimate for the PACIFIC treatment group's intercept is 3.863 (3.8495 + 0.01366) The estimate for the SOUTHERN treatment group's intercept is 3.837 (3.8495 + (-0.01249)) The estimate for the SOUTHWEST treatment group's intercept is 3.850 (simply the intercept) The estimate for the NORTH CENTRAL comparison group's intercept is 3.936 (3.8495 + (-0.03694) +0.123) The estimate for the PACIFIC comparison group's intercept is 3.986 (3.8495 + 0.01366 + 0.123) The estimate for the SOUTHERN comparison group's intercept is 3.960 (3.8495 + (-0.01249) + 0.123) The estimate for the SOUTHWEST comparison group's intercept is 3.973 (3.8495 + 0.123) The estimate for the NORTH CENTRAL treatment group's slope is -0.02502 (0.04476 + (-0.06978)) The estimate for the PACIFIC treatment group's slope is 0.02708 (0.04476 + (-0.01768)) The estimate for the SOUTHERN treatment group's slope is 0.02793 (0.04476 + (-0.01683)) The estimate for the SOUTHWEST treatment group's slope is 0.04476 (simply the time variable) The estimate for the NORTH CENTRAL comparison group's slope is -0.02173 (0.04476 + (-0.06649)) The estimate for the PACIFIC comparison group's slope is -0.04039 (0.04476 + (-0.08515)) The estimate for the SOUTHERN comparison group's slope is -0.0126 (0.04476 + (-0.05736)) The estimate for the SOUTHWEST comparison group's slope is -0.00471 (0.04476 +-0.04947) My interpretation was based of this SAS resource: https://support.sas.com/documentation/cdl/en/statug/66103/HTML/default/viewer.htm#statug_mixed_examples02.htm Thank you!
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