To compare CFU (Colony Forming Unit) counts of a bacterium growing in four different culture mediums across three trials, you can use a one-way analysis of variance (ANOVA) followed by post hoc tests for multiple comparisons. Here's an outline of the analysis:
The choice of post hoc test depends on factors such as the number of comparisons, the desired level of significance, and whether you have a specific control group for comparison. These tests will provide you with adjusted p-values to determine which group differences are statistically significant.
Remember to check the assumptions of the ANOVA, including normality of residuals and homogeneity of variances, using diagnostic plots and statistical tests such as the Shapiro-Wilk test and Levene's test. If the assumptions are violated, you may need to consider alternative nonparametric tests, such as the Kruskal-Wallis test, which is the nonparametric equivalent of the one-way ANOVA.
It is also important to ensure proper experimental design, including randomization of the trials and independent sampling of CFU counts for accurate statistical analysis.
Consulting with a statistician or data analyst experienced in experimental design and analysis can provide further guidance specific to your dataset and research question.
Ma'Mon Abu Hammad sir for comparing CFU values one way ANOVA performed shows significant difference among culture mediums after I want to differentiate one medium as it is giving higher yield than others. which Post hoc tests can I perform
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