Between the Factors of a Process

The data concerning this example are shown in Table 5.45. For the development of the analysis of variances, we use sums Sj, S2, S3, S4 which have already been introduced with the analysis with two factors. The supplementary sum S5 (Eq. 

We can observe in Table 5.43 that the maximum yield is obtained with catalyst number two (X2 = 2), the response obtained with this catalyst can be analyzed deeply with respect to other process parameters such as the input reactor gas flow rate and the temperature. Two different values or levels of these parameters will be considered whereas other parameters or factors will remain constant (Table 5.40). Table 5.47 gives the experimental data after the arrangement required by Table 5.45 together with the partial and total mean values of SO2 oxidation degree. 

The interest here is to verify whether the temperature, the flow rate and their interactions produce changes in the SO2 oxidation degree. For the case when factors interact, it is interesting to determine what the favourable direction for factors variation is. 

The problem is firstly investigated by making the necessary calculations to analyze the effect of the factors and the interactions with the following procedure  

Variances and degrees of freedom Hypotheses Computed value of the Fischer variable Theoretical value of the Fischer variable Decision 

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