Table 11 Hypotheses needed for sensitivity analysis using ANOVA

E

\(E^{{\prime }} = E + r*E\)

\(V^{{\prime }} = V\)

\(p = 0.75\)

\(H_{0}^{E} : \mu_{1}^{E} = \mu_{2}^{E} = \cdots = \mu_{9}^{E}\)

\(H_{1}^{E} :\) At least two means are different

V

\(E^{{\prime }} = E\)

\(V^{{\prime }} = V + r*V\)

\(p = 0.75\)

\(H_{0}^{V} : \mu_{1}^{V} = \mu_{2}^{V} = \ldots = \mu_{9}^{V}\)

\(H_{1}^{v} :\) At least two means are different

P

\(E^{{\prime }} = E\)

\(V^{{\prime }} = V\)

\(p = r\)

\(H_{0}^{P} : \mu_{1}^{P} = \mu_{2}^{P} = \ldots = \mu_{9}^{P}\)

\(H_{1}^{P} :\) At least two means are different