Question

- Catfish, which varied in body condition (fat or lean) were given either low or high protein diets. Did the growth rate vary between body condition and diet?

fish |
protein |
growth |

fat |
high |
3.55 |

fat |
high |
3.36 |

lean |
high |
4.15 |

fat |
low |
1.90 |

lean |
high |
4.34 |

fat |
low |
1.99 |

fat |
high |
3.59 |

lean |
low |
2.77 |

lean |
low |
2.83 |

fat |
high |
3.89 |

fat |
low |
1.83 |

fat |
low |
1.95 |

lean |
low |
2.94 |

lean |
high |
4.44 |

lean |
high |
4.32 |

lean |
low |
2.74 |

- What are the null and alternative hypotheses?
- What does the data look like? Please provide appropriate figures and summary statistics (measure of central tendency and variance) to write a sentence or two about the data and discuss the number of levels for each factor.
- Are the variances equal?
- Two-way ANOVA
- What kind of Two-Way ANOVA?
- What was the outcome of the Two-Way ANOVA? Was there an interaction?
- Evaluate the model fit

- If the Two-Way ANOVA indicates that you may reject the null hypotheses, where do the differences lie? As a biologist, what can you conclude from this study?

Answer #1

H_{0}: Variation in Growth Rate due to Body condition
and Diet

H1: No Variation in Growth Rate due to Body condition and Diet

std | 0.516398 | 0.516398 | 0.928857 |
---|

sum_sq df F PR(>F) eta_sq omega_sq fish 2.616306 1.0 130.523517 3.758635e-08 0.202162 0.200303 protein 10.064756 1.0 502.115295 9.009098e-12 0.777703 0.774954 Residual 0.260581 13.0 NaN NaN NaN NaN

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