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Case Study 1-Way ANOVA

This case study investigates the effects of different inoculation methods on the yields of entozoic amoebae. Five methods of inoculation, including a control group and various treatments, were tested. The study analyzed the data using analysis of variance (ANOVA) and performed post-hoc comparisons to examine pairwise differences among the conditions. The study also conducted tests to assess equal variances and normality assumptions.

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Case Study 1-Way ANOVA

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  1. Case Study1-Way ANOVA Yields of Entozoic Amoebae Under 5 Methods of Innoculation Griffin&McCarten(1949). The Journal of Parasitology. Vol.35,#2,pp.193-198

  2. Description • 5 Methods of Innoculation (Conditions) • None (Control) • Heat at 70C for 10 minutes • Addition of 10% Formalin • Heat followed by Formalin • Formalin, followed after 1 hour by heat • n=10 Replicates per Condition (N=50) • Y=Yield (10-4)

  3. Data

  4. Group Means/SD’s and Sums of Squares

  5. Analysis of Variance and F-test H0: m1 = m2 = m3 = m4 = m5(No differences in condition effects) HA: Not all mi are equal (Differences Among Condition Effects)

  6. Diagnostics - Tests of Equal Variances Levene’s Test

  7. Diagnostics - Normality Assumption Histogram: Approximately bell-shaped Normal Probability Plot: Approximates a straight line

  8. Kruskal-Wallis Test

  9. Post-Hoc Comparisons (I)

  10. Post-Hoc Comparisons (II) Fisher’s LSD: m1 > m2 , m1 > m3 , m1 > m4 , m1 > m5 Tukey, Bonferroni: m1 > m2 , m1 > m3 , m1 > m5

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