Question

Catfish, which varied in body condition (fat or lean) were given either low or high protein...

  1. 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

  1. What are the null and alternative hypotheses?
  2. 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.
  3. Are the variances equal?
  4. Two-way ANOVA
    1. What kind of Two-Way ANOVA?  
    2. What was the outcome of the Two-Way ANOVA? Was there an interaction?
    3. Evaluate the model fit
  5. 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?

Homework Answers

Answer #1

H0: 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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