Analysis of Variance Table

Response: weight
          Df Sum Sq Mean Sq F value    Pr(>F)    
feed       5 231129   46226  15.365 5.936e-10 ***
Residuals 65 195556    3009                      
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Barplot Shows that sunflower has the highest average weights of 328.92g and 323.58g respectively.

Horsebean has the least average chickweight with 160.2g

Since sunflower outperfoms the other feeds, it is the most effective diet for promotion growth.

Boxplot Histogram ANOVA

Hypothesis HO: All feeds are equal. HA: All feeds are not equal.

Significance level tested at 0.001

The test shows F value of 15.365 and p value of (5.936*10^-10)

Decision: Since the p value is extremely smaller than 0.001, we reject null hypothesis.

Conclusion: We conclude that there is a statistical significant difference in mean chick weights across different feed types.

Diagnostics

The data used is chickwts built in R.

An experiment was conducted to measure and compare the effectiveness of various feed supplements on the growth rate of chickens.

A data frame with 71 observations on the following 2 variables.

  1. weight a numeric variable giving the chick weight.
  2. feed a factor giving the feed type.

Newly hatched chicks were randomly allocated into six groups, and each group was given a different feed supplement. Their weights in grams after six weeks are given along with feed types.