1. ANalysis Of VAriance

2. ANOVA

3. Tests of differences reflect differences in central tendency of variables between groups and measures. Correlation and regression techniques reflect the strength of association Correlational vs difference statistics

4. In ANOVA we see the world as made of differences. Everywhere we look we see differences.

5. What is the difference between the heights of human males and females? Correlational vs difference statistics What is the relationship between gender and height in humans?

6. T-test

7. ANOVA

12. ANOVA vs multiple T-Test

13. ANOVA

14. H 0 : µ 1 = µ 2 = µ 3 = … = µ k H A : ?

15. ANOVA H 0 : µ 1 = µ 2 = µ 3 = … = µ k H A : at least two means are significantly different

16. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN

17. Between-group and within-group variance

18. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN

19. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN

20. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN

21. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN

22. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN F=

23. 1-way ANOVA PoultryBeef Mixed (Pork&Beef) 129186173 132181191 102176182 106149190 94184172 102190147 87158146 99139 107175 113148136 135152179 142111153 86141107 143153195 152190135 146157140 144131138 149 135 132 118,76156,85158,70 Overall mean = 145,44 SSC SSE SST N = 54

24. 1-way ANOVA

25. PoultryBeef Mixed (Pork&Beef) 129186173 132181191 102176182 106149190 94184172 102190147 87158146 99139 107175 113148136 135152179 142111153 86141107 143153195 152190135 146157140 144131138 149 135 132 118,76156,85158,70 Overall mean = 145,44 N = 54 Univariate Tests of Significance for Calories (Spreadsheet2) Sigma-restricted parameterization Effective hypothesis decomposition SSdfMSFp Type176922884616,0740,000004 Error2806751550

26. Types of ANOVA 1.1-way ANOVA Analyze design with single categorical variable. 2. Factorial ANOVA Multiple categorical variables 3. Repeated measures ANOVA Compares how a within-subjects experimental group performs in three or more experimental conditions 4. MANOVA Multivariate ANOVA (More than 1 DV)

27. Types of ANOVA

30. Repeated measures ANOVA

31. ANOVA VARIABILITY BETWEEN VARIABILITY WITHIN

32. Noise filter story NOISE Noise level reading (decibels) SIZE Vehicle size: 1 small 2 medium 3 large TYPE 1 standard silencer 2 Octel filter SIDE 1 right side 2 left side of car

33. Noise filter story NOISE Noise level reading (decibels) SIZE Vehicle size: 1 small 2 medium 3 large TYPE 1 standard silencer 2 Octel filter SIDE 1 right side 2 left side of car Univariate Tests of Significance for NOISE SS Degr. of - Freedom MSFp Intercept236277011 264810,60,000000 SIZE26051213026146,00,000000 TYPE10561 11,80,001679 SIDE1110,00,930268 Error27663189

34. Noise filter story

37. Interaction between IV

39. Noise filter story Univariate Tests of Significance for NOISE SS Degr. of - Freedom MSFp Intercept 2362770 1 1 16201850,000000 SIZE260512130268930,000000 TYPE10561 720,000000 SIDE11100,829104 SIZE*TYPE8042402280,000001 SIZE*SIDE12932647440,000000 TYPE*SIDE171 10,286067 SIZE*TYPE*SIDE3012151100,000579 Error3502415

40. Noise filter story

42. 1-way ANOVA

43. 1-way repeated measures ANOVA

44. Factorial ANOVA

45. Mixed ANOVA

46. MANOVA