By: Corey T. Williams

03 May 2001

• Situation

• Objective

• Mathematica

• SAS

• Type of Experiment• Randomization

– Areas– Flora

• Blocks– Month– Area– Replication

Power Plant

D

Water FlowS1

S2

S3

S4

• GLM Procedure• Classification of

Variables• Model• Scheffe’s Test on

Means

options linesize=75;data PwrPlant;input month $ station rep flora @@;cards;May 1 1 29 May 2 1 32 May 3 1 51 May 4 1 63May 1 2 30 May 2 2 36 May 3 2 52 May 4 2 60Jun 1 1 28 Jun 2 1 26 Jun 3 1 57 Jun 4 1 69Jun 1 2 21 Jun 2 2 28 Jun 3 2 59 Jun 4 2 74Jul 1 1 34 Jul 2 1 31 Jul 3 1 49 Jul 4 1 66 Jul 1 2 40 Jul 2 2 29 Jul 3 2 58 Jul 4 2 62Aug 1 1 35 Aug 2 1 28 Aug 3 1 54 Aug 4 1 67Aug 1 2 37 Aug 2 2 32 Aug 3 2 60 Aug 4 2 68;proc print;title 'Plant Growth in Nearby Bay';proc glm; class station month rep; model flora=month station rep station*month; lsmeans station month rep; means station month rep/scheffe;proc sort; by month station rep;proc means mean; var flora; by month station; output out=PwrPlant2 mean=mflora;proc plot data=PwrPlant2; plot mflora*station=month mflora*month=station;run;

DEPENDENT VARIABLE: Flora   Sum of Source DF Squares Mean Square F-Value Pr > F Model 16 7942.750000 496.421875 57.85 <.0001 Error 15 128.718750 8.581250 Corrected Total 31 8071.468750  R-Square Coeff Var Root MSE blades Mean 0.984053 6.398639 2.929377 45.78125  Source DF Type III SS Mean Square F-Value Pr > F month 3 52.343750 17.447917 2.03 0.1524 station 3 7495.593750 2498.531250 291.16 <.0001 rep 1 22.781250 22.781250 2.65 0.1241 station*month 9 372.031250 41.336806 4.82 0.0038

  Block by Station Scheffe Grouping** Mean N

Station A 66.125 8 4 B 55.000 8 3 C 31.750 8 1 C C 30.250 8 2

Block by MonthScheffe Grouping** Mean N

Month A 47.625 8 Aug A A 46.125 8 Jul A A 45.250 8 Jun A A 44.125 8

May

**Means with the same letter are not significantly different.

• Model• Areas• Months• Replications