statistical testing

Cards (6)

  • Statistical test
    • Used to determine whether a different or association/correlation found in a particular investigation is statistically significant (ie whether the result could have occurred by chance or there is a real effect)
  • criteria for statistical (inferential) tests
    • Looking for a difference or a correlation/association?
    • Is experimental design related (repeated measures/matched pairs) or unrelated (independent groups)?
    • What is the level of measurement (nominal/ordinal/interval data)?
  • levels of measurement
    • Nominal data:
    • Categories
    • Each item can only appear in one category, there is no order
    • Eg = people naming their favourite football team
    • Ordinal data:
    • placed in order, intervals are subjective
    • Whole numbers that can be ordered, but are not necessarily precise measurements
    • Eg = ranking your mood on a scale of 1-10
    • Eg = 1st, 2nd and 3rd place in a race
    • Interval data:
    • Units of equal, precisely defined size
    • Based on numerical scales
    • Eg = weights in kg
    • Eg = heights in cm
    • Also includes counting observations in an observational study (eg 8 tallies is twice as much as 4 tallies)
  • choosing a statistical test:
    • How to remember = Carrots Should Come Mashed With Swede Under Roast Potatoes
  • Parametric and non-parametric tests
    • Parametric tests = unrelated t-test, related t-test, pearson’s r
    • Non-parametric tests = chi squared, sign test, mann whitney, wilcoxon, spearmans rho
  • Sign test
    • The score of condition B is subtracted from condition A to produce the sign of difference (either a plus or minus)
    • Add up the number of pluses and the number of minuses
    • Participants who achieved the same score in condition A and condition B should be disregarded and deducted from the N value (number of participants)
    • The S value is the total of the less frequent sign
    • If S is equal to or less than the critical value = then S is significant and the null hypothesis is rejected and the alternative hypothesis accepted at the 5% level of certainty