Table 2. Results of univariate (A, B) and multivariate analysis (C) using three classification models: logistic regression analysis, naive Bayes classifier, and k-NN.
A | ||||||
---|---|---|---|---|---|---|
Significant univariate feature | Classifier/Model | %Sn | %Sp | AUC | P-value | Statistical power (n2) |
Logistic regression | 60.0 | 60.0 | 0.726 | |||
Hb-homogeneity | Naive Bayes | 82.0 | 82.0 | 0.799 | 0.030 | 71.8 (14) |
k-NN | 61.5 | 67.5 | 0.577 | |||
Logistic regression | 70.0 | 70.0 | 0.756 | |||
HbO2-correlation | Naive Bayes | 80.0 | 81.0 | 0.778 | 0.024 | 78.9 (11) |
k-NN | 66.5 | 74.5 | 0.602 | |||
Logistic regression | 60.0 | 60.0 | 0.657 | |||
HbT-homogeneity | Naive Bayes | 84.0 | 85.0 | 0.813 | 0.047 | 79.9 (11) |
k-NN | 74.0 | 47.0 | 0.552 | |||
Logistic regression | 60.0 | 63.0 | 0.670 | |||
St-contrast | Naive Bayes | 79.5 | 82.0 | 0.779 | 0.044 | 73.5 (13) |
k-NN | 70.5 | 64.5 | 0.582 | |||
Logistic regression | 70.0 | 63.0 | 0.715 | |||
StO2-contrast | Naive Bayes | 83.0 | 85.5 | 0.803 | 0.044 | 85.6 (enough) |
k-NN | 70.0 | 66.5 | 0.610 |
B | ||||
---|---|---|---|---|
Univariate features | Classifier/Model | %Sn | %Sp | %Acc |
HbO2-correlation | Logistic regression | 70.0 | 70.0 | 70.0 |
HbO2-homogeneity | Naive Bayes | 86.5 | 89.0 | 87.8 |
HbO2-contrast | k-NN | 81.0 | 73.0 | 77.0 |
C | ||||
---|---|---|---|---|
Multivariate features | Classifier/Model | %Sn | %Sp | %Acc |
HbO2-correlation+Hb-homogeneity | Logistic regression | 80.0 | 78.0 | 79.5 |
Hb-contrast+HbO2-homogeneity | Naive Bayes | 78.0 | 81.0 | 79.5 |
Hb-correlation+HbO2-contrast | k-NN | 79.5 | 76.0 | 77.8 |
Abbreviations: %Acc=accuracy; AUC=area under curve; Hb=deoxy-haemoglobin; HbO2=oxy-haemoglobin; HbT=total haemoglobin; k-NN=k-nearest neighbour; Sn=sensitivity; Sp=specificity; St=oxygen desaturation; StO2=tumour oxygen saturation.
Bold values indicate best classifiers. The last column in Table 2A reports the percentage of the statistical power. The numbers inside parentheses in this column indicate the number of non-responders (n2) required in this study to achieve a statistical power of minimum 80% in case that the number of responders (n1) is fixed at 27.