The results of a factorial design are shown below. Answer the following paragraphs without using computer software, that is, perform the operations of manual way.

A	B	I	II	III	Total
-	-	82	80	84	(1)=246
+	-	78	82	79	(a)=239
-	+	71	70	66	(b)=207
+	+	89	88	93	(ab)=270

a) What is the name of this design and why?
b) How many treatments does this design have, how many replicates?
c) In total there are 12 experimental runs. Point out in what order they must have come and explain why.
d) Explain the effects that can be studied through this design.
e) Obtain the contrasts for the main effects of A and B, as well as for the interaction.
f) Calculate the main effects and the interaction effect.
g) Graph the main effects of A and B, and interpret fabrics.
h) Graph the interaction between factors A and B, and interpret it in detail.
i) From your point of view does factor B seem to have an influence on Y? Argue your reply.