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# Chapter 2 data analysis - practical

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### Chapter 2 data analysis - practical

1. 1. DATA ANALYSIS - PRACTICAL Analysis of Variance (ANOVA) using SPSS 14 Computer programme Prof Dr. Md. Ruhul Amin
2. 2. Problem No. 1 Litter weight(kg) in first kidding in three different breeds of goats were as follows. Performing ANOVA, test whether any difference exists among the breeds. Compare each pair of means. Jamnapari 3.1 4.2 5.2 4.8 4.0 3.9 4.2 4.6 3.5 Kambing katjang 2.2 1.9 2.0 2.1 2.0 1.5 2.2 2.3 1.5 Sirohi 2.3 2.0 2.5 3.8 2.7 2.8 2.6 2.5 2.9 3.8
3. 3. ANOVA…. 1. Go to SPSS 14 spread sheet 2. Click on the Variable view at the bottom 3. Define each of your variables i)Breed: label =3 ii) Breed: 1=jam, 2=kam, 3=sir (values) iii) Litter wt. iv) For typing data go to Data view sheet
4. 4. SPSS spread sheet
5. 5. Typing data breed Lwt jam 3.1 jam 4.2 … … kam 2.2 kam 1.9 … …. sir 2.3 sir 2.0 … …
6. 6. Data file
7. 7. Analysis… 1. 2. 3. 4. 5. 6. Go to “Analyze” button Select “compare means” Select “One-way ANOVA” Bring lwt as dependent variable Select “Post hoc” Click “OK”
8. 8. ANOVA Sum of squares df Means squares F Sig. Between groups 23.172 2 11.586 49.084 .000 Within groups 5.901 25 .236 Total 29.072 27
9. 9. ANOVA Value of F is significant (p<0.001) There is significant difference (p<0.001) between litter wt. of goats in 3 different breeds.
10. 10. Post hoc Test (Duncan’s test) Lwt Duncan a,b 3 N 1 kam 9 sir 9 jam 10 sig 1.000 Subset for alpha = .o5 2 Kam 1.97c Sir 2.70b Jam 4.13a 3 1.9667 2.7000 4.1300 1.000 1.000 1.000
11. 11. Interpretation of post hoc test Significantly (p<0.05) highest lwt. was observed in Jamnapari, lowest was in Kambing Katjang and the Sirohi ranked intermediate.
12. 12. Interaction effect Suppose records on litter weight of goats shown in Problem 1 were obtained randomly from 3 flock located on 3 states of Malaysia. Obviously “FLOCK” may have an effect like “BREED”. Again different combination of BREEDxFLOCK may behave differently. This is called interaction effect. Total no. of interaction will be 3x3 = 9.
13. 13. Data file for 2-way (breedxherd) analysis
14. 14. Two-way ANOVA SV SS df MS F Between breeds Between flocks BreedxFlock Total F value for interaction effect