Three way ANOVA If there was One way
- Slides: 24
Three way ANOVA If there was One way then and Two way, then you knew that there had to be……… 1
Three way Mixed Model � In a Human Factors experiment, there were two Job types, Dimensional stimulus (two or three dimensions), and five Analysts who performed ratings. � Job type and dimension may be considered fixed (repeatable) factors. � Analyst may be considered random (different in another run of the experiment). � Primary interest is consistency (or differences) between stimulus types, two or three dimensional. � Data from Hicks 1982, Fundamental Concepts in Design of Experiments (good reference). 2
Data structure (partial…) 3
Layout of Design 4
Linear Model notation 5
Linear Model 6
7
ANOVA Summary 8
Detailed ANOVA with Mean Squares 9
What are “correct” F-tests? Table first… 10
11
12
Candidate terms for coefficients For each term in the model: Then candidates for variance components: 13
EMS using Restricted Model (Cornfeld-Tukey) 14
Correct F-tests for Fixed Effects 15
Residuals by Predicted 16
Normality Plot of Residuals 17
Shapiro-Wilk Test of Normality Goodness-of-Fit Test Shapiro-Wilk W Test W 0. 984424 Prob<W 0. 8463 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho. 18
Conclusions The differences among levels of the fixed effects are not greater than that which would be expected by chance over this population of Analysts. If one were to consider Analysts fixed, then one would test all terms against Experimental Error (which has lower variation), but any conclusions would only apply to these Analysts. 19
All factors fixed analysis (inference changes) 20
Dimension and Analyst 21
LS Means HSD 22
Job and Analyst 23
LS Means HSD 24
- Perbedaan one way anova dan two way anova
- One way anova vs two way anova
- Pengertian two way anova
- Perbedaan one way dan two way anova
- What does one way anova tell you
- Interaction plot sas
- Varyans analizi örnek sorular
- One way anova table
- One way anova null hypothesis
- Anova i
- Anova hypothesis
- 2 way anova example
- One way anova jmp
- One-way anova
- One way anova
- The committee debates or debate these questions carefully
- Once upon a time there was three little pigs
- How to do a two way frequency table
- What is a threaded binary tree?
- Two way anova minitab 17
- Two way anova table
- Repeated measures anova
- Two-way repeated measure anova
- 3 way anova
- Four way anova