In a study on the effects of diet on cortex size (brain) development an inbred l

Question

In a study on the effects of diet on cortex size (brain) development an inbred line of 15 rats were exposed to three different types of diet after weaning (~22days). The first diet consisted of commercial lab rat nuggets. Diet two consisted of commercial lab rat nuggets supplemented with a rat “multivitamin” dose. Diet three consisted of a fresh organic grain and vegetable medley. After four months, the rats were sacrificed and their cortex weights were recorded in grams and produced the following data table:

Cortex weight (grams)   

Complete the following table.:

Place the appropriate values in the summary of variation table on the next page.

a) SSTotal=

b) SSTreatment=

c) SSError=

Complete the table on this page.

e) Means of squares for Treatments

f) Means of squares for Error

g) F ratio

h) What is the critical value for an ?=0.05 given the data?

Fill in the following results table from the following calculations:

i) What are the BHt values for each row?

-Commercial diet v. Organic

-Commercial diet v. Commercial diet + multivitamin

-Commercial diet + multivitamin v. Organic

j) What are the ?adj values for each row?

-Commercial diet v. Organic

-Control v. Commercial diet + multivitamin

-Commercial diet + multivitamin v. Organic

Commercial diet Commercial diet + multivitamin Organic 1.47 2.44 2.87 1.62 2.31 3.05 1.06 1.98 2.36 0.89 2.76 3.21 1.67 2.39 3.00

Explanation / Answer

The solution of a, b,c, e, f, g, h solution is solve by excel

The given data, we apply one way ANOVA

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Commerical diet 5 6.71 1.342 0.12127 Commercial diet + multivitamin 5 11.88 2.376 0.07823 Organic 5 14.49 2.898 0.10527 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 6.271293 2 3.135647 30.8657 1.86E-05 3.885294 Within Groups 1.21908 12 0.10159 Total 7.490373 14

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