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Summary Overview with steps of all the models you need to know for MRM2 $4.33   Add to cart

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Summary Overview with steps of all the models you need to know for MRM2

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GRADE FOR EXAM - 9. Made a very clear overview from all the models you need to know for MRM2 with all the steps. Models - ANOVA (one-sided, two-sided, regression). Steps include hypotheses, screenshots from SPSS, R2 etc.

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  • February 7, 2022
  • 9
  • 2021/2022
  • Summary
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One-side ANOVA




= How can we investigate with a certain level of (statistical) confidence, what differences
there might be between the groups
 Comparing the variability between groups against variability within groups


PV (with >2 groups) -
OV - quantitative
categorical

1. Can you do the one-side ANOVA?
OutcomeVariable (OV) = Quantitative
Predictor Variable (PV) = Categorical with more than 2 groups.
 Variance is homogenous across groups – Levens test
 Residuals are normally distributed – in this class we don’t test for this.
 Groups are roughly equally sized – in this class they always are
 Our subjects can only be in one group (between subjects design) – independent
groups, je kan niet in 2 groepen zitten

2. Check Levens (>0.05)  variance is homogenous across groups

3. Write down hypotheses
H0: There is no difference (in means) from X across Y
H1: There is a difference (in means) from X across Y

4. Check p value one-side ANOVA (there is a difference)




5. Calculate F-value – to make sure you also take the sample size with your
calculation
Hypotheses F-value

, H0: 𝜇1 =𝜇2 =...=𝜇i “There is no difference in mean across the different categories”
H1:𝜇𝑖 ≠𝜇𝑗 for some 𝑖 and 𝑗. “There is a difference in the means.”

Formula = Mean square ‘between groups’ (MSm)/ mean square ‘within groups’ (MSr)


Formula sheet =

Deze vergelijk je met het nummer in de table (F-table)
Search in the F-value for F1 (k – 1) + F2 (n – k)
K = number of groups
N = number of observations

6. Calculate R2 (proportion of total variance)
How good is your model?
Formula = sum of squares between groups (SSm)/ sum of squares total (SSt)* 100 =


Formula sheet =

7. Do PostHoc test (difference between groups)




Difference One-sided ANOVA and factorial ANOVA
- One-sided ANOVA = examining how much variance in our data can be explained by
our independent variable
- Factorial ANOVA = examining how much variance in our data can be explained by
our independent variables (>1)
- Factorial ANOVA not only looks at the main effects of the PVs but also at their
interaction effect on the OV

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