In this case, the least-squares analysis gave a positive rather than negative slope, and the [r.sup.2] value was 0.196 (Table 3).
Least-squares analysis showed a very modest negative slope and an [r.sup.2] value of only 0.017 (Table 3).
The least-squares analysis showed a modest negative slope and an [r.sup.2] value of only 0.007, and the omission of laboratory 20 resulted in a slightly positive slope and an [r.sup.2] value of 0.154 (Table 3).
Standard least-squares analysis leads to a satisfactory weighted profile [chi square] of ~3.7.
8 for comparison.) In order to accentuate the difference between the new goodness of fit function and standard least-squares analysis, we have chosen to refine the minority yttria phase treating the majority phase as the impurity (see Fig.
However, when there is an unmodelled contribution in the diffraction pattern, least-squares analysis gives biased results.