When an ANOVA of a factorial discourse of the kind a x b with n replicates is performed, it is detected that both factors influence the response variable, then the need arises to compare the measures of the levels of each factor to see which of them are different from each other. Answer:

a) What is the expression for the least significant difference (LSD) for comparing the levels of factor B, without taking into account the possible interaction effect?

b) Answer the previous subsection, but now for factor A.

c) Answer the two previous subsections, but now take into account the interaction effect.

d) When would both ways of proceeding be expected to yield similar conclusions?

Taken from (Pulido, H. G., Salazar, R., de la Vara Salazar, R. & Castellanos, M. . T., 2012, p. 159).