Nominal Data

Nominal Data

1. One Sample

   • 2 Outcomes (S/F)
     • 1 Sample Proportion
       • np,nq ≥5
         • p = #
   • 3 or more outcomes
     • GOF
       • E ≥ 5
         • Describe or give values of p
           • 1 Tail

2. 2 Samples S/F

   • 2 Sample Proportion
     • np,nq ≥ 5
       • p1 = p2

3. Table

   • Independence / Homogeneity
     • E ≥ 5
       • Variables Independent OR proportions are the same across populations
         • 1 Tail

4. Interval / Ratio Data

   • ONE SAMPLE
     • σ KNOWN
       • Z-TEST
         • Normal OR n ≥ 30
           • μ = #
     • σ UNKNOWN
       • T-TEST
         • Normal OR n ≥ 30
           • μ = #
   • ONE SAMPLE (Paired DATA)
     • DEPENDENT
       • T-TEST (differences)
         • Differences NORMAL OR n ≥ 30
           • μd = 0
     • CORRELATION
       • PEARSON'S
         • Bivariate NORMAL (x,y normal)
           • ρ = 0
             • 2 Tailed
       • SPEARMAN'S
         • paired data
           • ρs = 0
             • 2 Tailed
   • 2 INDEPENDENT SAMPLES
     • LARGE
       • Z-TEST
         • n ≥ 30
           • μ1 = μ2
     • SMALL
       • TEST VARIANCE
         • Normal OR n ≥ 30
           • σ = σ
             • 2 tailed
         • Variance =
           • POOLED VARIANCE / T-TEST
             • μ1 = μ2
         • Variance ≠
           • WILCOXON
             • n ≥ 10
               • No difference... (equal medians)
                 • 2 tailed
   • 3 OR MORE SAMPLES
     • ANOVA
       • Normal // Homogeneity of variances
         • μ1 = μ2 = μ3
           • 1 Tail
       • SHEFFE
         • μ1 = μ2
     • KRUSKAL WALLIS
       • n ≥ 5
         • No difference...
           • 1 Tail
       • WILCOXON
   • Ordinal Data
     • Paired - Spearman's
     • 2 Samples - Wilcoxon
       • n ≥ 10
     • 3 Samples - KRUSKAL WALLIS
       • n ≥ 5