Effect of Source and Level of Protein on Weight Gain of Rats

Transcription

1 Effect of Source and Level of Protein on of Rats 1 * two factor analysis of variance with interaction; 2 option ls=120 ps=75 nocenter nodate; 3 4 title Effect of Source of Protein and Level of Protein on Weight 5 Gains in Rats ; 6 * Weight gain is the response variable. The factors are 7 source of protein (cereal, beef and pork) and level of protein 8 (high, low).; 9 * There are ten observations of each treatment combination.; data PARTS; array S S1-S10; input TREAT $ SOURCE $ LEVEL $ S1-S10; * input each sample by treatment; 13 do over S; GAIN=S; output; end; * output observations; 14 drop S1-S10; label GAIN= TREAT= Source and Level of Protein Combination SOURCE= Source of Protein LEVEL= Level of Protein ; cards; BH BL PH PL CH CL proc print; var SOURCE LEVEL GAIN; PROC SORT; BY TREAT; 30 PROC UNIVARIATE DEF=5 PLOT;BY TREAT; * BOXPLOTS FOR ALL SAMPLES; 31 VAR GAIN; proc glm; class SOURCE LEVEL; MODEL GAIN=SOURCELEVEL/SS1 SS2 SS3 SS4; * SOURCE and LEVEL are factors; 35 OUTPUT OUT=NEW P=MEANS R=RESID; * OUTPUT SAMPLE MEANS AND RESIDUals; 36 MEANS SOURCELEVEL; 37 label MEANS= Sample Means RESID= Residuals from Model With Interaction ; proc glm; class TREAT; model GAIN=TREAT/ss1; 40 MEANS TREAT/TUKEY; *TUKEY S TEST ON ALL MEANS; 41 estimate Level of Protein TREAT ; 42 contrast Level of Protein TREAT ; estimate Animal vs. Vegetable TREAT ; 45 contrast Animal vs. Vegetable TREAT ; estimate Interaction of Level with Combined Sources 48 TREAT ; 49 contrast Interaction of Level with Combined Sources 50 TREAT ;

2 51 52 estimate vs. TREAT ; 53 contrast vs. TREAT ; estimate Interaction of Level vs. Meat TREAT ; 56 contrast Interaction of Level vs. Meat TREAT ; proc plot; plot MEANS*SOURCE=LEVEL; * interaction plot; 59 proc plot; plot RESID*MEANS; * check residuals; Effect of Source of Protein and Level of Protein on s in Rats OBS SOURCE LEVEL GAIN OBS SOURCE LEVEL GAIN

3 Effect of Source of Protein and Level of Protein on s in Rats 8 Univariate Procedure Schematic Plots Variable=GAIN *-----* *--+--* *-----* *-----* + *-----* *-----* TREAT BH BL CH CL PH PL 3

4 Effect of Source of Protein and Level of Protein on s in Rats 9 Class Level Information Class Levels Values SOURCE 3 LEVEL 2 Number of observations in data set = 60 Dependent Variable: GAIN Source DF Sum of Squares Mean Square F Value Pr > F Model Error Corrected Total R-Square C.V. Root MSE GAIN Mean Source DF Type I SS Mean Square F Value Pr > F Source DF Type II SS Mean Square F Value Pr > F Source DF Type III SS Mean Square F Value Pr > F Source DF Type IV SS Mean Square F Value Pr > F Level of GAIN SOURCE N Mean SD Level of GAIN LEVEL N Mean SD Level of Level of GAIN SOURCE LEVEL N Mean SD

5 Effect of Source of Protein and Level of Protein on s in Rats 12 Class Level Information Class Levels Values TREAT 6 BH BL CH CL PH PL Number of observations in data set = 60 Dependent Variable: GAIN Source DF Sum of Squares Mean Square F Value Pr > F Model Error Corrected Total R-Square C.V. Root MSE GAIN Mean Source DF Type I SS Mean Square F Value Pr > F TREAT Tukey s Studentized Range (HSD) Test for variable: GAIN NOTE: This test controls the type I experimentwise error rate, but generally has a higher type II error rate than REGWQ. Alpha= 0.05 df= 54 MSE= Critical Value of Studentized Range= Minimum Significant Difference= Means with the same letter are not significantly different. Tukey Grouping Mean N TREAT A BH A A PH A B A CH B A B A CL B B BL B B PL Dependent Variable: GAIN Contrast DF Contrast SS Mean Square F Value Pr > F Level of Protein Animal vs. Vegetable Interaction of Level vs Interaction of Level T for H0: Pr > T Std Error of Parameter Estimate Parameter=0 Estimate Level of Protein Animal vs. Vegetable Interaction of Level vs Interaction of Level

6 Effect of Source of Protein and Level of Protein on s in Rats 16 Plot of MEANS*SOURCE. Symbol is value of LEVEL H H S a m p l 90 + e M e a 88 + n s 86 + H 84 + L L L Source of Protein NOTE: 54 obs hidden. 6

7 Effect of Source of Protein and Level of Protein on s in Rats 17 Plot of RESID*MEANS. Legend: A = 1 obs, B = 2 obs, etc A 25 + A A A 20 + R e A A s A i A d 15 + u A a A l A s C A A 10 + f A A r o A A A m A A 5 + A M A o B B d A A A e l 0 + A A A A W i A A t A A h -5 + A A I A n A t A A e B r a A c A t i A o n A A A A A A A A A Sample Means 7