Inference Statistic

In this section we will explore how to describe the level of significance which your data has.  We do this to help the reader visualise (in graph form) the importance of our findings.  This section includes:  (Some great videos)


Test of Association (likeness)

  • Chi-Square
  • Cramer’s V

Test of divergence (difference)

  • t-Test
  • Mann Whitney (Wilcoxon)
  • Kolmogorov-Smirnow

Test of Relationship (interaction)

  • Spearman’s Ranked (& Kendall’s Rank)
  • Pearson’s Product Moment Correlation Coefficient (PMCC)

  • Coefficient of Determination (regression coefficient)
    • Indicates who much influence one variable has on the other variable
    • Is the square route of the correlation coefficient (correlation strength)
    • Result: Often expressed as a percentage
  • Coefficient of Multiple Determination (multiple regression coefficient)
  • Results
    • Negative Correlation is -1
    • No Correlation is 0
    • Positive Correlation is +1
    • Strong Correlation is between 0.7 – 1
    • Medium Correlation is between 0.6 – 0.4
    • Weak Correlation is between 0.3 – 0.1

Test of Prediction and Trends

  • Regression Equation (regression analysis)
  • Index numbers
  • Time series (regression analysis)


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