Testing to Find Relationships Among Many Variables

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Capella University

Statistical Tests

One sample compared to a population

• Interval
  • z test (µ and Ơ known)
  • t test (µ known Ơ unknown)
• Nominal
  • Chi Square goodness-of-fit test

Differences between two samples

• Between
  • Interval or ratio data Independent-groups t-test
  • Ordinal data Wilcoxon rank-sum test
  • Nominal data Chi-saquare test for independence
• Correlated
  • Interval or ratio data Correlated- groups t-test
  • Ordinal data Wilcoxon T-test

Differences between more than two samples

• One independent variable
  • Between participants
    • Interval or ratio data One-way randomized ANOVA
    • Ordinal data Kruskal-Wallace ANOVA
    • Nominal data Chi-Square test for independence
  • Correlated groups
    • Interval or ratio data One-way repeated measures ANOVA
• Two independent variables
  • Between participants
    • Interval or ratio data Two-way randomized ANOVA
  • Correlated groups
    • Interval or ratio data Two-way repeated measures ANOVA

References

Jackson, S. L. (2003). Research Methods and Statistics: A Critical Thinking Approach. Belmont, CA: Wadsworth/Thomson.

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