Regression Analysis (StudeerSnel)

5 important questions on Regression Analysis (StudeerSnel)

What is step 1? (objectives)

  • Formulating hypothesis --> Theoretical grounded
  • Measurement level --> X and Y needs to be metric

What is step 2? (research design)

  • Sample size: >50, >100 prefered
  • Ratio V to O: 1 to 5, 1 to 15 prefered
  • Theoretically grounded 

What is step 3? (assumptions)

  1. Linearity of the phenomena measured: Residuals (correlations in three ways: transforming data values, polynomial terms, non-linear regression).
  2. A constant variance of the error terms: Heteroscedastic (Levene's test).
  3. Independence of the error terms: Residuals (mean = 0, std = 1)
  4. Normality of the error term distribution: histogram
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What is step 5? (interpretations of results)

  • Explained variance: R-square: >30%
  • Model usability: F-test: significant
  • Multicollinearity: Collinearity statistics: >0,25 if not centering
  • Power X and Y: Beta (if significant): IV + 1 gives DV + Beta

What is step 6? (Validation)

  • Explained variance: low explained variance implies other variables have more influence on or explain the dependent variable better.
    • Maximizing the degrees of freedom: improve the generalizability of the research
    • Comparison with theory for validation

The question on the page originate from the summary of the following study material:

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