27MiscellaneousANOVA

27MiscellaneousANOVA - Statistical Techniques I EXST7005...

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Statistical Techniques I EXST7005 Miscellaneous ANOVA Topics & Summary
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LSMeans calculation The calculations of LSMeans is different. For a balanced design, the results will be the same. However, for unbalanced designs the results w often differ. The MEANS statement in SAS calculates a simple mean of all available observations in the treatment cells. The LSMeans statement will calculate the mean of the treatment cell means.
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LSMeans calculation (continued) Example: The MEAN of 4 treatments, where the observations are 3,4,8 for a1, 3,5,6,7,9 for a2, 7,8,6,7 for a3 and 3,5,7 for a4 is 5.8667. The individual cells means are 5, 6, 7 and 5 for a1, a2, a3 and a4 respectively. The mean of these 4 values is 5.75. This would be the LSMean.
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Treatments a1 a2 a3 Means b1 5 6 9 7 8 6.5 4 b2 7 5 5 9 7 6.6 Means 7 5.75 7 Raw means
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Treatments a1 a2 a3 Means b1 6 6 9 7 b2 8 5 6 6.33 Means 7 5.5 7.5 LSMeans means Treatments a1 a2 a3 Means b1 6.5 b2 6.6 Means 7 5.75 7
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27MiscellaneousANOVA - Statistical Techniques I EXST7005...

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